Направо към съдържанието

Потребител:Bukkia/Sandbox3

от Уикипедия, свободната енциклопедия
Художествена снимка на протопланетен диск.

Формирането на Слънчевата система започва преди 4,6 милиарди години с гравитационния колапс на малка част от молекулярен облак.[1] Най-голямата част от колабиращата се маса се събира в центъра, като оформя Слънцето, докато останалата част сплесква се в протопланетен диск, от който се формират планетите, естествените спътници, астероидите и други малки небесни тела.

Този широко приет модел, известен като хипотезата на Слънчевата мъглявина, се развива в XVIII век от Емануел Сведенборг, Имануел Кант и Пиер-Симон Лаплас. Следващото ѝ развитие примесва широка гама на научни предмети, включително и астрономия, физика, геология и планетология. От началото на епохата на изледването на космическото пространство в средата на XX век и преди всичко с откритието на извънслънчевите планети, моделът се изменя и се рафинира според новите наблюдения.

Слънчевата система се развива значително от нейното първоначалното формиране. Много луни се оформят от прахови дискове около планетите им, а други луни могат да се оформят като независими тела и по-късно са прихванати от техните планети. Други спътници, като естественият спътник на Земята, Луна, могат да са резултат от гигантски сблъсъци. Сблъсъците сред небесните тела случват непрекъснато и до днес и са били основни за еволюцията на Слънчевата система. Положението на планетите често се е изменило заради гравитационните взаимодействия.[2] Днес се счита че тази планетна миграция е била основна за ранната еволюция на Слънчевата система.

След 5 милиарди години Слънцето ще се разхлади и се разшири до много пъти по-голям от днес диаметър, като се превръща в червен гигант), преди да разхвърли неговите външни слоеве, оформяйки планетарна мъглявина и се превръщайки в бяло джудже. В далечното бъдеще гравитационната сила на минаващите се звезди ще постепенно промени орбитите на планетите около Слънцето. Някои планети ще бъдат разрушени а други ще са изхвърлени в междузвездното пространство. След много милиарди години най-вероятно Слънцето ще изгуби всички тела, които днес се въртят около него.[3]

История

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 Основна страница: История на хипотезите за формирането и еволюцията на Слънчевата система
Пиер-Симон Лаплас, един от бащите на теорията на Слънчевата мъглявина.

Възможно е да се намират пониятия относно произхода и съдбата на света вече в най-ранните написани доказателства; за дълго време обаче не се опитва да свържат тези теории със съществуването на една "Слънчева система", просто защо никой не си представя, че тя съществува. Първата стъпка към една теория за формирането и еволюцията на Слънчевата система е всеобщото приемане на хелиоцентризма, в който Слънцето се намира в центъра на системата и Земята се върти около него. Това понятие съществува от хиляди години (Аристарх Самоски го е предложил вече в 250 п.н.е.), не се приеме всеобщо само на края на XVII век. Първото използване на думата "Слънчева система" е в 1704 г..[4]

Сегашната общоприета теория за формирането на Слънчевата система, теорията на Слънчевата мъглявина, е била приета и отхвърлена много пъти от нейното формулиране от Емануел Сведенборг, Имануел Кант и Пиер-Симон Лаплас в XVIII век. Най-значителната критика срещу хипотезата е нейната очевидна неспособност да обясни относителното отсъстие на момента на импулса на Слънцето в сравнение с планетите.[5] Въпреки това от 1980-те иследванията на младите звезди доказват, че те са обиколени от хладни прахови и газови дискове, точно като твърди хипотезата на Слънчевата мъглявина, и затова теорията се приеме отново.[6]

За разбиране на бъдещата еволюция на Слънцето трябва да се разбира изворът на неговата енергия. След като Артър Едингтън потвърди теорията на относителността на Алберт Айнщайн, той може да разбера че мощта на Слънцето произхожда от теормоядрените реакции в ядрото му.[7] В 1935 г. Едингтър твърди, че и другите елементи могат да се създават вътре в звездите.[8] Фред Хойл изработва това предположение и твърди, че вътре в ядрата на развитите звезди, известни като червени гиганти, може да се създават много по-тежки от водорода и от хелия елементи. Когато червен гигант на края на своя живот изхвърля своите външни слоеве, тези елементи ще бъдат използани отново за създаването на нови звездни системи.[8]

Формиране

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 Вижте също: Хипотеза на Слънчевата мъглявина

Протослънчева мъглявина

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В хипотезата на Слънчевата мъглявина се твърди, че Слънчевата система се създава от гравитационния колапс на част от голям молекулярен облак.[9] Същата мъглявина е 20 парсека (65 светлинни години) на големина,[9] а частите са прибизително 1 pc (3,25 светлинни години).[10] Следващият колапс на частите довежда до формирането на гъсти зони 0.01–0.1 pc (2,000–20,000 AU) на големина.[note 1][9][11] Една от тези колабиращи се части (известна като протослънчева мъглявина) ще създаде това което ще стане Слънчевата система.[12] Съставът на тази част, с маса поне по-голяма от тази на Слънцето (M☉), е равен на тази на Слънцето днес, с водород, хелий и малки количества литий, произведени в първичния нуклеосинтез по време на Големия взрив, съставляващи 98% от масата. Оставящото 2% от масата включва по-тежките елементи, които са били създавени чрез звездния нуклеосинтез в по-ранните поколения на звезди.[13] В късните степени на живота на тези звезди те са изхвърлили тежките елементи в междузвездната среда.[14]

Снимка на космическия телескоп Хъбъл, къде може да се видят протопланетни дискове в Мъглявината Орион, "звезден инкубатор", най-вероятно много подобен на първоначална мъглявина от която се е оформяло Слънцето.

The oldest inclusions found in meteorites, thought to trace the first solid material to form in the pre-solar nebula, are 4568.2 million years old, which is one definition of the age of the Solar System.[1] Studies of ancient meteorites reveal traces of stable daughter nuclei of short-lived isotopes, such as iron-60, that only form in exploding, short-lived stars. This indicates that one or more supernovae occurred near the Sun while it was forming. A shock wave from a supernova may have triggered the formation of the Sun by creating regions of over-density within the cloud, causing these regions to collapse.[15] Because only massive, short-lived stars produce supernovae, the Sun must have formed in a large star-forming region that produced massive stars, possibly similar to the Orion Nebula.[16][17] Studies of the structure of the Kuiper belt and of anomalous materials within it suggest that the Sun formed within a cluster of between 1,000 and 10,000 stars with a diameter of between 6.5 and 19.5 light-years and a collective mass of Шаблон:Solar mass. This cluster began to break apart between 135 million and 535 million years after formation.[18][19] Several simulations of our young Sun interacting with close-passing stars over the first 100 million years of its life produce anomalous orbits observed in the outer Solar System, such as detached objects.[20]

Because of the conservation of angular momentum, the nebula spun faster as it collapsed. As the material within the nebula condensed, the atoms within it began to collide with increasing frequency, converting their kinetic energy into heat. The centre, where most of the mass collected, became increasingly hotter than the surrounding disc.[10] Over about 100,000 years,[9] the competing forces of gravity, gas pressure, magnetic fields, and rotation caused the contracting nebula to flatten into a spinning protoplanetary disc with a diameter of ~200 AU[10] and form a hot, dense protostar (a star in which hydrogen fusion has not yet begun) at the centre.[21]

At this point in its evolution, the Sun is thought to have been a T Tauri star.[22] Studies of T Tauri stars show that they are often accompanied by discs of pre-planetary matter with masses of Шаблон:Solar mass.[23] These discs extend to several hundred AU—the Hubble Space Telescope has observed protoplanetary discs of up to 1000 AU in diameter in star-forming regions such as the Orion Nebula[24]—and are rather cool, reaching a surface temperature of only one thousand kelvin at their hottest.[25] Within 50 million years, the temperature and pressure at the core of the Sun became so great that its hydrogen began to fuse, creating an internal source of energy that countered gravitational contraction until hydrostatic equilibrium was achieved.[26] This marked the Sun's entry into the prime phase of its life, known as the main sequence. Main-sequence stars derive energy from the fusion of hydrogen into helium in their cores. The Sun remains a main-sequence star today.[27]

Формиране на планетите

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 Вижте също: Протопланетен диск

Учените считат, че различните планети се оформят от Слънчевата мъглявина, праховия и газов облак под вид на диск, съставен от останките на формирането на Слънцето.[28] Текущият общоприет модел за формирането на планетите е акреция, в който се твърди, че планетите се раждат като прахови зрънца в орбита около протозвездата. Заради прекия допир тези зрънца оформят купове до 200 метра на големина, които се сблъскат между си да създават по-големи тела (планетезимали) до ~10 километра (km) на големина.[29] Те постепенно се увеличават заради допълнителни сблъсъци, като се разширяват at the rate of centimetres per year over the course of the next few million years.[29]

The inner Solar System, the region of the Solar System inside 4 AU, was too warm for volatile molecules like water and methane to condense, so the planetesimals that formed there could only form from compounds with high melting points, such as metals (like iron, nickel, and aluminium) and rocky silicates. These rocky bodies would become the terrestrial planets (Mercury, Venus, Earth, and Mars). These compounds are quite rare in the Universe, comprising only 0.6% of the mass of the nebula, so the terrestrial planets could not grow very large.[10] The terrestrial embryos grew to about 0.05 Earth masses (Шаблон:Earth mass) and ceased accumulating matter about 100,000 years after the formation of the Sun; subsequent collisions and mergers between these planet-sized bodies allowed terrestrial planets to grow to their present sizes (see Terrestrial planets below).[30]

When the terrestrial planets were forming, they remained immersed in a disk of gas and dust. The gas was partially supported by pressure and so did not orbit the Sun as rapidly as the planets. The resulting drag caused a transfer of angular momentum, and as a result the planets gradually migrated to new orbits. Models show that density and temperature variations in the disk governed this rate of migration,[31] but the net trend was for the inner planets to migrate inward as the disk dissipated, leaving the planets in their current orbits.[32]

The giant planets (Jupiter, Saturn, Uranus, and Neptune) formed further out, beyond the frost line, the point between the orbits of Mars and Jupiter where the material is cool enough for volatile icy compounds to remain solid. The ices that formed the Jovian planets were more abundant than the metals and silicates that formed the terrestrial planets, allowing the giant planets to grow massive enough to capture hydrogen and helium, the lightest and most abundant elements.[10] Planetesimals beyond the frost line accumulated up to Шаблон:Earth mass within about 3 million years.[30] Today, the four giant planets comprise just under 99% of all the mass orbiting the Sun.[note 2] Theorists believe it is no accident that Jupiter lies just beyond the frost line. Because the frost line accumulated large amounts of water via evaporation from infalling icy material, it created a region of lower pressure that increased the speed of orbiting dust particles and halted their motion toward the Sun. In effect, the frost line acted as a barrier that caused material to accumulate rapidly at ~5 AU from the Sun. This excess material coalesced into a large embryo (or core) on the order of Шаблон:Earth mass, which began to accumulate an envelope via accretion of gas from the surrounding disc at an ever increasing rate.[33][34] Once the envelope mass became about equal to the solid core mass, growth proceeded very rapidly, reaching about 150 Earth masses ~105 years thereafter and finally topping out at Шаблон:Earth mass.[35] Saturn may owe its substantially lower mass simply to having formed a few million years after Jupiter, when there was less gas available to consume.[30]

T Tauri stars like the young Sun have far stronger stellar winds than more stable, older stars. Uranus and Neptune are thought to have formed after Jupiter and Saturn did, when the strong solar wind had blown away much of the disc material. As a result, the planets accumulated little hydrogen and helium—not more than Шаблон:Earth mass each. Uranus and Neptune are sometimes referred to as failed cores.[36] The main problem with formation theories for these planets is the timescale of their formation. At the current locations it would have taken a hundred million years for their cores to accrete. This means that Uranus and Neptune probably formed closer to the Sun—near or even between Jupiter and Saturn—and later migrated outward (see Planetary migration below).[36][37] Motion in the planetesimal era was not all inward toward the Sun; the Stardust sample return from Comet Wild 2 has suggested that materials from the early formation of the Solar System migrated from the warmer inner Solar System to the region of the Kuiper belt.[38]

After between three and ten million years,[30] the young Sun's solar wind would have cleared away all the gas and dust in the protoplanetary disc, blowing it into interstellar space, thus ending the growth of the planets.[39][40]

Следваща еволюция

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Artist's conception of the giant impact thought to have formed the Moon

The planets were originally thought to have formed in or near their current orbits. However, this view underwent radical change during the late 20th and early 21st centuries. Currently, it is thought that the Solar System looked very different after its initial formation: several objects at least as massive as Mercury were present in the inner Solar System, the outer Solar System was much more compact than it is now, and the Kuiper belt was much closer to the Sun.[41]

Земноподобни планети

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At the end of the planetary formation epoch the inner Solar System was populated by 50–100 Moon- to Mars-sized planetary embryos.[42][43] Further growth was possible only because these bodies collided and merged, which took less than 100 million years. These objects would have gravitationally interacted with one another, tugging at each other's orbits until they collided, growing larger until the four terrestrial planets we know today took shape.[30] One such giant collision is thought to have formed the Moon (see Moons below), while another removed the outer envelope of the young Mercury.[44]

One unresolved issue with this model is that it cannot explain how the initial orbits of the proto-terrestrial planets, which would have needed to be highly eccentric to collide, produced the remarkably stable and nearly circular orbits they have today.[42] One hypothesis for this "eccentricity dumping" is that the terrestrials formed in a disc of gas still not expelled by the Sun. The "gravitational drag" of this residual gas would have eventually lowered the planets' energy, smoothing out their orbits.[43] However, such gas, if it existed, would have prevented the terrestrial planets' orbits from becoming so eccentric in the first place.[30] Another hypothesis is that gravitational drag occurred not between the planets and residual gas but between the planets and the remaining small bodies. As the large bodies moved through the crowd of smaller objects, the smaller objects, attracted by the larger planets' gravity, formed a region of higher density, a "gravitational wake", in the larger objects' path. As they did so, the increased gravity of the wake slowed the larger objects down into more regular orbits.[45]

Астероиден пояс

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The outer edge of the terrestrial region, between 2 and 4 AU from the Sun, is called the asteroid belt. The asteroid belt initially contained more than enough matter to form 2–3 Earth-like planets, and, indeed, a large number of planetesimals formed there. As with the terrestrials, planetesimals in this region later coalesced and formed 20–30 Moon- to Mars-sized planetary embryos;[46] however, the proximity of Jupiter meant that after this planet formed, 3 million years after the Sun, the region's history changed dramatically.[42] Orbital resonances with Jupiter and Saturn are particularly strong in the asteroid belt, and gravitational interactions with more massive embryos scattered many planetesimals into those resonances. Jupiter's gravity increased the velocity of objects within these resonances, causing them to shatter upon collision with other bodies, rather than accrete.[47]

As Jupiter migrated inward following its formation (see Planetary migration below), resonances would have swept across the asteroid belt, dynamically exciting the region's population and increasing their velocities relative to each other.[48] The cumulative action of the resonances and the embryos either scattered the planetesimals away from the asteroid belt or excited their orbital inclinations and eccentricities.[46][49] Some of those massive embryos too were ejected by Jupiter, while others may have migrated to the inner Solar System and played a role in the final accretion of the terrestrial planets.[46][50][51] During this primary depletion period, the effects of the giant planets and planetary embryos left the asteroid belt with a total mass equivalent to less than 1% that of the Earth, composed mainly of small planetesimals.[49] This is still 10–20 times more than the current mass in the main belt, which is now about Шаблон:Earth mass.[52] A secondary depletion period that brought the asteroid belt down close to its present mass is thought to have followed when Jupiter and Saturn entered a temporary 2:1 orbital resonance (see below).

The inner Solar System's period of giant impacts probably played a role in the Earth acquiring its current water content (~6×1021 kg) from the early asteroid belt. Water is too volatile to have been present at Earth's formation and must have been subsequently delivered from outer, colder parts of the Solar System.[53] The water was probably delivered by planetary embryos and small planetesimals thrown out of the asteroid belt by Jupiter.[50] A population of main-belt comets discovered in 2006 has been also suggested as a possible source for Earth's water.[53][54] In contrast, comets from the Kuiper belt or farther regions delivered not more than about 6% of Earth's water.[2][55] The panspermia hypothesis holds that life itself may have been deposited on Earth in this way, although this idea is not widely accepted.[56]

Планетна миграция

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 Основни страници: Модел на Ница и Grand Tack Hypothesis

According to the nebular hypothesis, the outer two planets are in the "wrong place". Uranus and Neptune (known as the "ice giants") exist in a region where the reduced density of the solar nebula and longer orbital times render their formation highly implausible.[57] The two are instead thought to have formed in orbits near Jupiter and Saturn, where more material was available, and to have migrated outward to their current positions over hundreds of millions of years.[36]

Simulation showing outer planets and Kuiper belt: a) Before Jupiter/Saturn 2:1 resonance b) Scattering of Kuiper belt objects into the Solar System after the orbital shift of Neptune c) After ejection of Kuiper belt bodies by Jupiter[2]

The migration of the outer planets is also necessary to account for the existence and properties of the Solar System's outermost regions.[37] Beyond Neptune, the Solar System continues into the Kuiper belt, the scattered disc, and the Oort cloud, three sparse populations of small icy bodies thought to be the points of origin for most observed comets. At their distance from the Sun, accretion was too slow to allow planets to form before the solar nebula dispersed, and thus the initial disc lacked enough mass density to consolidate into a planet.[57] The Kuiper belt lies between 30 and 55 AU from the Sun, while the farther scattered disc extends to over 100 AU,[37] and the distant Oort cloud begins at about 50,000 AU.[58] Originally, however, the Kuiper belt was much denser and closer to the Sun, with an outer edge at approximately 30 AU. Its inner edge would have been just beyond the orbits of Uranus and Neptune, which were in turn far closer to the Sun when they formed (most likely in the range of 15–20 AU), and in opposite locations, with Uranus farther from the Sun than Neptune.[2][37]

According to the so-called Nice model, after the formation of the Solar System, the orbits of all the giant planets continued to change slowly, influenced by their interaction with the large number of remaining planetesimals. After 500–600 million years (about 4 billion years ago) Jupiter and Saturn fell into a 2:1 resonance: Saturn orbited the Sun once for every two Jupiter orbits.[37] This resonance created a gravitational push against the outer planets, causing Neptune to surge past Uranus and plough into the ancient Kuiper belt. The planets scattered the majority of the small icy bodies inwards, while themselves moving outwards. These planetesimals then scattered off the next planet they encountered in a similar manner, moving the planets' orbits outwards while they moved inwards.[37] This process continued until the planetesimals interacted with Jupiter, whose immense gravity sent them into highly elliptical orbits or even ejected them outright from the Solar System. This caused Jupiter to move slightly inward.[note 3] Those objects scattered by Jupiter into highly elliptical orbits formed the Oort cloud;[37] those objects scattered to a lesser degree by the migrating Neptune formed the current Kuiper belt and scattered disc.[37] This scenario explains the Kuiper belt's and scattered disc's present low mass. Some of the scattered objects, including Pluto, became gravitationally tied to Neptune's orbit, forcing them into mean-motion resonances.[59] Eventually, friction within the planetesimal disc made the orbits of Uranus and Neptune circular again.[37][60]

In contrast to the outer planets, the inner planets are not thought to have migrated significantly over the age of the Solar System, because their orbits have remained stable following the period of giant impacts.[30]

Another question is why Mars came out so small compared with Earth. A study by Southwest Research Institute, San Antonio, Texas, published June 6, 2011 (called the Grand Tack Hypothesis), proposes that Jupiter had migrated inward to 1.5 AU. After Saturn formed, migrated inward, and established the 2:3 mean motion resonance with Jupiter, the study assumes that both planets migrated back to their present positions. Jupiter thus would have consumed much of the material that would have created a bigger Mars. The same simulations also reproduce the characteristics of the modern asteroid belt, with dry asteroids and water-rich objects similar to comets.[61][62] However, it is unclear whether conditions in the solar nebula would have allowed Jupiter and Saturn to move back to their current positions, and according to current estimates this possibility appears unlikely.[63] Moreover, alternative explanations for the small mass of Mars exist.[64][65][66]

Късна тежка бомбардировка

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 Основна страница: Късна тежка бомбардировка
Meteor Crater in Arizona. Created 50,000 years ago by an impactor only 50 m (160 ft) across, it shows that the accretion of the Solar System is not over.

Gravitational disruption from the outer planets' migration would have sent large numbers of asteroids into the inner Solar System, severely depleting the original belt until it reached today's extremely low mass.[49] This event may have triggered the Late Heavy Bombardment that occurred approximately 4 billion years ago, 500–600 million years after the formation of the Solar System.[2][67] This period of heavy bombardment lasted several hundred million years and is evident in the cratering still visible on geologically dead bodies of the inner Solar System such as the Moon and Mercury.[2][68] The oldest known evidence for life on Earth dates to 3.8 billion years ago—almost immediately after the end of the Late Heavy Bombardment.[69]

Impacts are thought to be a regular (if currently infrequent) part of the evolution of the Solar System. That they continue to happen is evidenced by the collision of Comet Shoemaker–Levy 9 with Jupiter in 1994, the 2009 Jupiter impact event, the Tunguska event, the Chelyabinsk meteor and the impact feature Meteor Crater in Arizona. The process of accretion, therefore, is not complete, and may still pose a threat to life on Earth.[70][71]

Over the course of the Solar System's evolution, comets were ejected out of the inner Solar System by the gravity of the giant planets, and sent thousands of AU outward to form the Oort cloud, a spherical outer swarm of cometary nuclei at the farthest extent of the Sun's gravitational pull. Eventually, after about 800 million years, the gravitational disruption caused by galactic tides, passing stars and giant molecular clouds began to deplete the cloud, sending comets into the inner Solar System.[72] The evolution of the outer Solar System also appears to have been influenced by space weathering from the solar wind, micrometeorites, and the neutral components of the interstellar medium.[73]

The evolution of the asteroid belt after Late Heavy Bombardment was mainly governed by collisions.[74] Objects with large mass have enough gravity to retain any material ejected by a violent collision. In the asteroid belt this usually is not the case. As a result, many larger objects have been broken apart, and sometimes newer objects have been forged from the remnants in less violent collisions.[74] Moons around some asteroids currently can only be explained as consolidations of material flung away from the parent object without enough energy to entirely escape its gravity.[75]

Спътници

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Шаблон:See also Moons have come to exist around most planets and many other Solar System bodies. These natural satellites originated by one of three possible mechanisms:

  • Co-formation from a circum-planetary disc (only in the cases of the giant planets);
  • Formation from impact debris (given a large enough impact at a shallow angle); and
  • Capture of a passing object.

Jupiter and Saturn have several large moons, such as Io, Europa, Ganymede and Titan, which may have originated from discs around each giant planet in much the same way that the planets formed from the disc around the Sun.[76] This origin is indicated by the large sizes of the moons and their proximity to the planet. These attributes are impossible to achieve via capture, while the gaseous nature of the primaries also make formation from collision debris unlikely. The outer moons of the giant planets tend to be small and have eccentric orbits with arbitrary inclinations. These are the characteristics expected of captured bodies.[77][78] Most such moons orbit in the direction opposite the rotation of their primary. The largest irregular moon is Neptune's moon Triton, which is thought to be a captured Kuiper belt object.[71]

Moons of solid Solar System bodies have been created by both collisions and capture. Mars's two small moons, Deimos and Phobos, are thought to be captured asteroids.[79] The Earth's Moon is thought to have formed as a result of a single, large oblique collision.[80][81] The impacting object probably had a mass comparable to that of Mars, and the impact probably occurred near the end of the period of giant impacts. The collision kicked into orbit some of the impactor's mantle, which then coalesced into the Moon.[80] The impact was probably the last in the series of mergers that formed the Earth. It has been further hypothesized that the Mars-sized object may have formed at one of the stable Earth–Sun Lagrangian points (either Шаблон:L4 or Шаблон:L5) and drifted from its position.[82] The moons of trans-Neptunian objects Pluto (Charon) and Orcus (Vanth) may also have formed by means of a large collision: the Pluto–Charon, Orcus–Vanth and Earth–Moon systems are unusual in the Solar System in that the satellite's mass is at least 1% that of the larger body.[83][84]

Бъдеще

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Astronomers estimate that the Solar System as we know it today will not change drastically until the Sun has fused almost all the hydrogen fuel in its core into helium, beginning its evolution from the main sequence of the Hertzsprung–Russell diagram and into its red-giant phase. Even so, the Solar System will continue to evolve until then.

Дългосрочна стабилност

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 Основна страница: Стабилност на Слънчевата система

The Solar System is chaotic over million- and billion-year timescales,[85] with the orbits of the planets open to long-term variations. One notable example of this chaos is the Neptune–Pluto system, which lies in a 3:2 orbital resonance. Although the resonance itself will remain stable, it becomes impossible to predict the position of Pluto with any degree of accuracy more than 10–20 million years (the Lyapunov time) into the future.[86] Another example is Earth's axial tilt, which, due to friction raised within Earth's mantle by tidal interactions with the Moon (see below), will be incomputable at some point between 1.5 and 4.5 billion years from now.[87]

The outer planets' orbits are chaotic over longer timescales, with a Lyapunov time in the range of 2–230 million years.[88] In all cases this means that the position of a planet along its orbit ultimately becomes impossible to predict with any certainty (so, for example, the timing of winter and summer become uncertain), but in some cases the orbits themselves may change dramatically. Such chaos manifests most strongly as changes in eccentricity, with some planets' orbits becoming significantly more—or less—elliptical.[89]

Ultimately, the Solar System is stable in that none of the planets are likely to collide with each other or be ejected from the system in the next few billion years.[88] Beyond this, within five billion years or so Mars's eccentricity may grow to around 0.2, such that it lies on an Earth-crossing orbit, leading to a potential collision. In the same timescale, Mercury's eccentricity may grow even further, and a close encounter with Venus could theoretically eject it from the Solar System altogether[85] or send it on a collision course with Venus or Earth.[90] This could happen within a billion years, according to numerical simulations in which Mercury's orbit is perturbed.[91]

Спътници и пръстени

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The evolution of moon systems is driven by tidal forces. A moon will raise a tidal bulge in the object it orbits (the primary) due to the differential gravitational force across diameter of the primary. If a moon is revolving in the same direction as the planet's rotation and the planet is rotating faster than the orbital period of the moon, the bulge will constantly be pulled ahead of the moon. In this situation, angular momentum is transferred from the rotation of the primary to the revolution of the satellite. The moon gains energy and gradually spirals outward, while the primary rotates more slowly over time.

The Earth and its Moon are one example of this configuration. Today, the Moon is tidally locked to the Earth; one of its revolutions around the Earth (currently about 29 days) is equal to one of its rotations about its axis, so it always shows one face to the Earth. The Moon will continue to recede from Earth, and Earth's spin will continue to slow gradually. In about 50 billion years, if they survive the Sun's expansion, the Earth and Moon will become tidally locked to each other; each will be caught up in what is called a "spin–orbit resonance" in which the Moon will circle the Earth in about 47 days and both Moon and Earth will rotate around their axes in the same time, each only visible from one hemisphere of the other.[92][93] Other examples are the Galilean moons of Jupiter (as well as many of Jupiter's smaller moons)[94] and most of the larger moons of Saturn.[95]

Neptune and its moon Triton, taken by Voyager 2. Triton's orbit will eventually take it within Neptune's Roche limit, tearing it apart and possibly forming a new ring system.

A different scenario occurs when the moon is either revolving around the primary faster than the primary rotates, or is revolving in the direction opposite the planet's rotation. In these cases, the tidal bulge lags behind the moon in its orbit. In the former case, the direction of angular momentum transfer is reversed, so the rotation of the primary speeds up while the satellite's orbit shrinks. In the latter case, the angular momentum of the rotation and revolution have opposite signs, so transfer leads to decreases in the magnitude of each (that cancel each other out).[note 4] In both cases, tidal deceleration causes the moon to spiral in towards the primary until it either is torn apart by tidal stresses, potentially creating a planetary ring system, or crashes into the planet's surface or atmosphere. Such a fate awaits the moons Phobos of Mars (within 30 to 50 million years),[96] Triton of Neptune (in 3.6 billion years),[97] Metis and Adrastea of Jupiter,[98] and at least 16 small satellites of Uranus and Neptune. Uranus's Desdemona may even collide with one of its neighboring moons.[99]

A third possibility is where the primary and moon are tidally locked to each other. In that case, the tidal bulge stays directly under the moon, there is no transfer of angular momentum, and the orbital period will not change. Pluto and Charon are an example of this type of configuration.[100]

Prior to the 2004 arrival of the Cassini–Huygens spacecraft, the rings of Saturn were widely thought to be much younger than the Solar System and were not expected to survive beyond another 300 million years. Gravitational interactions with Saturn's moons were expected to gradually sweep the rings' outer edge toward the planet, with abrasion by meteorites and Saturn's gravity eventually taking the rest, leaving Saturn unadorned.[101] However, data from the Cassini mission led scientists to revise that early view. Observations revealed 10 km-wide icy clumps of material that repeatedly break apart and reform, keeping the rings fresh. Saturn's rings are far more massive than the rings of the other giant planets. This large mass is thought to have preserved Saturn's rings since it first formed 4.5 billion years ago, and is likely to preserve them for billions of years to come.[102]

Слънцето и планетарната среда

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 Вижте също: Звездна еволюция и Бъдеще на Земята

In the long term, the greatest changes in the Solar System will come from changes in the Sun itself as it ages. As the Sun burns through its supply of hydrogen fuel, it gets hotter and burns the remaining fuel even faster. As a result, the Sun is growing brighter at a rate of ten percent every 1.1 billion years.[103] In one billion years' time, as the Sun's radiation output increases, its circumstellar habitable zone will move outwards, making the Earth's surface too hot for liquid water to exist there naturally. At this point, all life on land will become extinct.[104] Evaporation of water, a potent greenhouse gas, from the oceans' surface could accelerate temperature increase, potentially ending all life on Earth even sooner.[105] During this time, it is possible that as Mars's surface temperature gradually rises, carbon dioxide and water currently frozen under the surface regolith will release into the atmosphere, creating a greenhouse effect that will heat the planet until it achieves conditions parallel to Earth today, providing a potential future abode for life.[106] By 3.5 billion years from now, Earth's surface conditions will be similar to those of Venus today.[103]

Relative size of the Sun as it is now (inset) compared to its estimated future size as a red giant

Around 5.4 billion years from now, the core of the Sun will become hot enough to trigger hydrogen fusion in its surrounding shell.[104] This will cause the outer layers of the star to expand greatly, and the star will enter a phase of its life in which it is called a red giant.[107][108] Within 7.5 billion years, the Sun will have expanded to a radius of 1.2 AU—256 times its current size. At the tip of the red giant branch, as a result of the vastly increased surface area, the Sun's surface will be much cooler (about 2600 K) than now and its luminosity much higher—up to 2,700 current solar luminosities. For part of its red giant life, the Sun will have a strong stellar wind that will carry away around 33% of its mass.[104][109][110] During these times, it is possible that Saturn's moon Titan could achieve surface temperatures necessary to support life.[111][112]

As the Sun expands, it will swallow the planets Mercury and Venus.[113] Earth's fate is less clear; although the Sun will envelop Earth's current orbit, the star's loss of mass (and thus weaker gravity) will cause the planets' orbits to move farther out.[104] If it were only for this, Venus and Earth would probably escape incineration,[109] but a 2008 study suggests that Earth will likely be swallowed up as a result of tidal interactions with the Sun's weakly bound outer envelope.[104]

Gradually, the hydrogen burning in the shell around the solar core will increase the mass of the core until it reaches about 45% of the present solar mass. At this point the density and temperature will become so high that the fusion of helium into carbon will begin, leading to a helium flash; the Sun will shrink from around 250 to 11 times its present (main-sequence) radius. Consequently, its luminosity will decrease from around 3,000 to 54 times its current level, and its surface temperature will increase to about 4770 K. The Sun will become a horizontal branch star, burning helium in its core in a stable fashion much like it burns hydrogen today. The helium-fusing stage will last only 100 million years. Eventually, it will have to again resort to the reserves of hydrogen and helium in its outer layers and will expand a second time, turning into what is known as an asymptotic giant branch star. Here the luminosity of the Sun will increase again, reaching about 2,090 present luminosities, and it will cool to about 3500 K.[104] This phase lasts about 30 million years, after which, over the course of a further 100,000 years, the Sun's remaining outer layers will fall away, ejecting a vast stream of matter into space and forming a halo known (misleadingly) as a planetary nebula. The ejected material will contain the helium and carbon produced by the Sun's nuclear reactions, continuing the enrichment of the interstellar medium with heavy elements for future generations of stars.[114]

The Ring nebula, a planetary nebula similar to what the Sun will become

This is a relatively peaceful event, nothing akin to a supernova, which the Sun is too small to undergo as part of its evolution. Any observer present to witness this occurrence would see a massive increase in the speed of the solar wind, but not enough to destroy a planet completely. However, the star's loss of mass could send the orbits of the surviving planets into chaos, causing some to collide, others to be ejected from the Solar System, and still others to be torn apart by tidal interactions.[115] Afterwards, all that will remain of the Sun is a white dwarf, an extraordinarily dense object, 54% its original mass but only the size of the Earth. Initially, this white dwarf may be 100 times as luminous as the Sun is now. It will consist entirely of degenerate carbon and oxygen, but will never reach temperatures hot enough to fuse these elements. Thus the white dwarf Sun will gradually cool, growing dimmer and dimmer.[116]

As the Sun dies, its gravitational pull on the orbiting bodies such as planets, comets and asteroids will weaken due to its mass loss. All remaining planets' orbits will expand; if Venus, Earth, and Mars still exist, their orbits will lie roughly at 1,4 AU (210 000 000 km), 1,9 AU (280 000 000 km), and 2,8 AU (420 000 000 km). They and the other remaining planets will become dark, frigid hulks, completely devoid of any form of life.[109] They will continue to orbit their star, their speed slowed due to their increased distance from the Sun and the Sun's reduced gravity. Two billion years later, when the Sun has cooled to the 6000–8000K range, the carbon and oxygen in the Sun's core will freeze, with over 90% of its remaining mass assuming a crystalline structure.[117] Eventually, after billions more years, the Sun will finally cease to shine altogether, becoming a black dwarf.[118]

Галактическо взаимодействие

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Местоположение на Слънчевата система в Млечния Път

The Solar System travels alone through the Milky Way in a circular orbit approximately 30,000 light years from the Galactic Centre. Its speed is about 220 km/s. The period required for the Solar System to complete one revolution around the Galactic Centre, the galactic year, is in the range of 220–250 million years. Since its formation, the Solar System has completed at least 20 such revolutions.[119]

Various scientists have speculated that the Solar System's path through the galaxy is a factor in the periodicity of mass extinctions observed in the Earth's fossil record. One hypothesis supposes that vertical oscillations made by the Sun as it orbits the Galactic Centre cause it to regularly pass through the galactic plane. When the Sun's orbit takes it outside the galactic disc, the influence of the galactic tide is weaker; as it re-enters the galactic disc, as it does every 20–25 million years, it comes under the influence of the far stronger "disc tides", which, according to mathematical models, increase the flux of Oort cloud comets into the Solar System by a factor of 4, leading to a massive increase in the likelihood of a devastating impact.[120]

However, others argue that the Sun is currently close to the galactic plane, and yet the last great extinction event was 15 million years ago. Therefore, the Sun's vertical position cannot alone explain such periodic extinctions, and that extinctions instead occur when the Sun passes through the galaxy's spiral arms. Spiral arms are home not only to larger numbers of molecular clouds, whose gravity may distort the Oort cloud, but also to higher concentrations of bright blue giants, which live for relatively short periods and then explode violently as supernovae.[121]

Галактически сблъсък и планетарно унищожение

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 Основна страница: Сблъсък между Андромеда и Млечния път

Although the vast majority of galaxies in the Universe are moving away from the Milky Way, the Andromeda Galaxy, the largest member of the Local Group of galaxies, is heading toward it at about 120 km/s.[122] In 4 billion years, Andromeda and the Milky Way will collide, causing both to deform as tidal forces distort their outer arms into vast tidal tails. If this initial disruption occurs, astronomers calculate a 12% chance that the Solar System will be pulled outward into the Milky Way's tidal tail and a 3% chance that it will become gravitationally bound to Andromeda and thus a part of that galaxy.[122] After a further series of glancing blows, during which the likelihood of the Solar System's ejection rises to 30%,[123] the galaxies' supermassive black holes will merge. Eventually, in roughly 6 billion years, the Milky Way and Andromeda will complete their merger into a giant elliptical galaxy. During the merger, if there is enough gas, the increased gravity will force the gas to the centre of the forming elliptical galaxy. This may lead to a short period of intensive star formation called a starburst.[122] In addition, the infalling gas will feed the newly formed black hole, transforming it into an active galactic nucleus. The force of these interactions will likely push the Solar System into the new galaxy's outer halo, leaving it relatively unscathed by the radiation from these collisions.[122][123]

It is a common misconception that this collision will disrupt the orbits of the planets in the Solar System. Although it is true that the gravity of passing stars can detach planets into interstellar space, distances between stars are so great that the likelihood of the Milky Way–Andromeda collision causing such disruption to any individual star system is negligible. Although the Solar System as a whole could be affected by these events, the Sun and planets are not expected to be disturbed.[124]

However, over time, the cumulative probability of a chance encounter with a star increases, and disruption of the planets becomes all but inevitable. Assuming that the Big Crunch or Big Rip scenarios for the end of the Universe do not occur, calculations suggest that the gravity of passing stars will have completely stripped the dead Sun of its remaining planets within 1 quadrillion (1015) years. This point marks the end of the Solar System. Although the Sun and planets may survive, the Solar System, in any meaningful sense, will cease to exist.[3]

Chronology

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Шаблон:Wide image The time frame of the Solar System's formation has been determined using radiometric dating. Scientists estimate that the Solar System is 4.6 billion years old. The oldest known mineral grains on Earth are approximately 4.4 billion years old.[125] Rocks this old are rare, as Earth's surface is constantly being reshaped by erosion, volcanism, and plate tectonics. To estimate the age of the Solar System, scientists use meteorites, which were formed during the early condensation of the solar nebula. Almost all meteorites (see the Canyon Diablo meteorite) are found to have an age of 4.6 billion years, suggesting that the Solar System must be at least this old.[126]

Studies of discs around other stars have also done much to establish a time frame for Solar System formation. Stars between one and three million years old have discs rich in gas, whereas discs around stars more than 10 million years old have little to no gas, suggesting that giant planets within them have ceased forming.[30]

Хронологична таблица на еволюцията на Слънчевата система

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Шаблон:External Timeline Note: All dates and times in this chronology are approximate and should be taken as an order of magnitude indicator only.

Хронология на формирането и еволюцията на Слънчевата система
Фаза Време от формирането на Слънцето Време от днес Събитие
Преди Слънчевата система Милиарди години преди формирането на Слънчевата система Преди повече от 4,6  милиарда години Previous generations of stars live and die, injecting heavy elements into the interstellar medium out of which the Solar System formed.[14]
4.6 bya Преди 4.6 милиарда години If the Solar System formed in an Orion nebula-like star-forming region, the most massive stars are formed, live their lives, die, and explode in supernova. One particular supernova, called the primal supernova, possibly triggers the formation of the Solar System.[16][17]
Формиране на Слънцето 0–100,000 години Преди 4.6 милиарда години Предислънчевата мъглявина се оформя и започва да се колабира. Слънцето започва формирането му.[30]
100,000 – 50 million years 4.6 bya Sun is a T Tauri protostar.[9]
100,000 – 10 million years 4.6 bya Outer planets form. By 10 million years, gas in the protoplanetary disc has been blown away, and outer planet formation is likely complete.[30]
10 милиона – 100 милиона години преди 4.5–4.6 милиарда години Земноподобни планети и Луната се оформят. Гигантски сблъсъци. Водата е доведена на Земята.[2]
Главна последователност 50 million years 4.5 bya Sun becomes a main-sequence star.[26]
200 million years 4.4 bya Oldest known rocks on the Earth formed.[125][127]
500 million – 600 million years 4.0–4.1 bya Resonance in Jupiter and Saturn's orbits moves Neptune out into the Kuiper belt. Late Heavy Bombardment occurs in the inner Solar System.[2]
800 million years 3.8 bya Oldest known life on Earth.[69][127] Oort cloud reaches maximum mass.[72]
4.6 billion years Днес Sun remains a main-sequence star, continually growing warmer and brighter by ~10% every 1 billion years.[103]
6 billion years 1.4 billion years in the future Sun's habitable zone moves outside of the Earth's orbit, possibly shifting onto Mars's orbit.[106]
7 billion years 2.4 billion years in the future The Milky Way and Andromeda Galaxy begin to collide. Slight chance the Solar System could be captured by Andromeda before the two galaxies fuse completely.[122]
Post–main sequence 10 billion – 12 billion years 5–7 billion years in the future Sun starts burning hydrogen in a shell surrounding its core, ending its main sequence life. Sun begins to ascend the red giant branch of the Hertzsprung–Russell diagram, growing dramatically more luminous (by a factor of up to 2,700), larger (by a factor of up to 250 in radius), and cooler (down to 2600 K): Sun is now a red giant. Mercury and possibly Venus and Earth are swallowed.[104][109] Saturn's moon Titan may become habitable.[111]
~ 12 billion years ~ 7 billion years in the future Sun passes through helium-burning horizontal-branch and asymptotic-giant-branch phases, losing a total of ~30% of its mass in all post-main-sequence phases. The asymptotic-giant-branch phase ends with the ejection of a planetary nebula, leaving the core of the Sun behind as a white dwarf.[104][114]
Remnant Sun ~ 1 quadrillion years (1015 years) ~ 1 quadrillion years in the future Sun cools to 5 K.[128] Gravity of passing stars detaches planets from orbits. Solar System ceases to exist.[3]

See also

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Шаблон:Wikipedia books Шаблон:Portal Шаблон:Colbegin

Шаблон:Colend

Notes

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  1. ↑ Една астрономическа единица, или на кратко AU, представлява средното разстояне от Земята до Слънцето, или ~150 милиона километра. Това е стандартната единица за междупланетните растояния.
  2. ↑ The combined mass of Jupiter, Saturn, Uranus and Neptune is 445.6 Earth masses. The mass of remaining material is ~5.26 Earth masses or 1.1% (see Solar System#Notes and List of Solar System objects by mass)
  3. ↑ The reason that Saturn, Uranus and Neptune all moved outward whereas Jupiter moved inward is that Jupiter is massive enough to eject planetesimals from the Solar System, while the other three outer planets are not. To eject an object from the Solar System, Jupiter transfers energy to it, and so loses some of its own orbital energy and moves inwards. When Neptune, Uranus and Saturn perturb planetesimals outwards, those planetesimals end up in highly eccentric but still bound orbits, and so can return to the perturbing planet and possibly return its lost energy. On the other hand, when Neptune, Uranus and Saturn perturb objects inwards, those planets gain energy by doing so and therefore move outwards. More importantly, an object being perturbed inwards stands a greater chance of encountering Jupiter and being ejected from the Solar System, in which case the energy gains of Neptune, Uranus and Saturn obtained from their inwards deflections of the ejcted object become permanent.
  4. ↑ In all of these cases of transfer of angular momentum and energy, the angular momentum of the two-body system is conserved. In contrast, the summed energy of the moon's revolution plus the primary's rotation is not conserved, but decreases over time, due to dissipation via frictional heat generated by the movement of the tidal bulge through the body of the primary. If the primary were a frictionless ideal fluid, the tidal bulge would be centered under the satellite, and no transfer would take place. It is the loss of dynamical energy through friction that makes transfer of angular momentum possible.

References

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  1. ↑ а б Audrey Bouvier, Meenakshi Wadhwa. The age of the solar system redefined by the oldest Pb-Pb age of a meteoritic inclusion // Nature Geoscience 3. 2010. DOI:10.1038/NGEO941. с. 637–641.
  2. ↑ а б в г д е ж з Gomes, R.; Levison, Harold F.; Tsiganis, K.; Morbidelli, Alessandro. Origin of the cataclysmic Late Heavy Bombardment period of the terrestrial planets (PDF) // Nature 435 (7041). 2005. DOI:10.1038/nature03676. с. 466–9.
  3. ↑ а б в Freeman Dyson. Time Without End: Physics and Biology in an open universe // Reviews of Modern Physics 51 (3). July 1979. DOI:10.1103/RevModPhys.51.447. с. 447–460. Посетен на 2008-04-02.
  4. ↑ Solar system // Merriam Webster Online Dictionary. 2008. Посетен на 2008-04-15.
  5. ↑ M. M. Woolfson. Rotation in the Solar System // Philosophical Transactions of the Royal Society 313 (1524). 1984. DOI:10.1098/rsta.1984.0078. с. 5–18.
  6. ↑ Nigel Henbest. Birth of the planets: The Earth and its fellow planets may be survivors from a time when planets ricocheted around the Sun like ball bearings on a pinball table // New Scientist. 1991. Посетен на 2008-04-18.
  7. ↑ David Whitehouse. The Sun: A Biography. John Wiley and Sons, 2005. ISBN 978-0-470-09297-2.
  8. ↑ а б Simon Mitton. Origin of the Chemical Elements // Fred Hoyle: A Life in Science. Aurum, 2005. ISBN 978-1-85410-961-3. с. 197–222.
  9. ↑ а б в г д Thierry Montmerle, Jean-Charles Augereau, Marc Chaussidon. Solar System Formation and Early Evolution: the First 100 Million Years // Earth, Moon, and Planets 98 (1–4). Spinger, 2006. DOI:10.1007/s11038-006-9087-5. с. 39–95.
  10. ↑ а б в г д Ann Zabludoff (University of Arizona). Lecture 13: The Nebular Theory of the origin of the Solar System // Spring 2003. Посетен на 2006-12-27.
  11. ↑ J. J. Rawal. Further Considerations on Contracting Solar Nebula (PDF) // Earth, Moon, and Planets 34 (1). Springer Netherlands, 1986. DOI:10.1007/BF00054038. с. 93–100. Посетен на 2006-12-27.
  12. ↑ W. M. Irvine. The chemical composition of the pre-solar nebula // Cometary Exploration. Т. 1. 1983, 3–12 с.
  13. ↑ Zeilik Gregory, с. 207.
  14. ↑ а б Charles H. Lineweaver. An Estimate of the Age Distribution of Terrestrial Planets in the Universe: Quantifying Metallicity as a Selection Effect // Icarus 151 (2). 2001. DOI:10.1006/icar.2001.6607. с. 307–313.
  15. ↑ Williams, J. The astrophysical environment of the solar birthplace // Contemporary Physics 51 (5). 2010. DOI:10.1080/00107511003764725. с. 381–396.
  16. ↑ а б J. Jeff Hester, Steven J. Desch, Kevin R. Healy, Laurie A. Leshin. The Cradle of the Solar System // Science 304 (5674). 21 May 2004. DOI:10.1126/science.1096808. с. 1116–1117.
  17. ↑ а б Martin Bizzarro, David Ulfbeck, Anne Trinquier, Kristine Thrane, James N. Connelly, Bradley S. Meyer. Evidence for a Late Supernova Injection of 60Fe into the Protoplanetary Disk // Science 316 (5828). 2007. DOI:10.1126/science.1141040. с. 1178–1181.
  18. ↑ Morgan Kelly. Slow-Moving Rocks Better Odds That Life Crashed to Earth from Space // News at Princeton. Посетен на Sep 24, 2012.
  19. ↑ Simon F. Portegies Zwart. The Lost Siblings of the Sun // Astrophysical Journal 696 (L13–L16). 2009. DOI:10.1088/0004-637X/696/1/L13. с. L13.
  20. ↑ Nathan A. Kaib and Thomas Quinn. The formation of the Oort cloud in open cluster environments // Icarus 197 (1). 2008. DOI:10.1016/j.icarus.2008.03.020. с. 221–238.
  21. ↑ Jane S. Greaves. Disks Around Stars and the Growth of Planetary Systems // Science 307 (5706). 2005. DOI:10.1126/science.1101979. с. 68–71.
  22. ↑ Caffe, M. W.; Hohenberg, C. M.; Swindle, T. D.; Goswami, J. N. Evidence in meteorites for an active early sun // Astrophysical Journal, Part 2 – Letters to the Editor 313. February 1, 1987. DOI:10.1086/184826. с. L31–L35.
  23. ↑ M. Momose, Y. Kitamura, S. Yokogawa, R. Kawabe, M. Tamura, S. Ida. Investigation of the Physical Properties of Protoplanetary Disks around T Tauri Stars by a High-resolution Imaging Survey at lambda = 2 mm // The Proceedings of the IAU 8th Asian-Pacific Regional Meeting, Volume I. Т. 289. Astronomical Society of the Pacific Conference Series, 2003, 85 с.
  24. ↑ Deborah L. Padgett, Wolfgang Brandner, Karl R. Stapelfeldt. Hubble Space Telescope/NICMOS Imaging of Disks and Envelopes around Very Young Stars // The Astronomical Journal 117 (3). March 1999. DOI:10.1086/300781. с. 1490–1504.
  25. ↑ M. Küker, T. Henning, G. Rüdiger. Magnetic Star-Disk Coupling in Classical T Tauri Systems // Astrophysical Journal 589 (1). 2003. DOI:10.1086/374408. с. 397–409.
  26. ↑ а б Sukyoung Yi, Pierre Demarque, Yong-Cheol Kim, Young-Wook Lee, Chang H. Ree, Thibault Lejeune, Sydney Barnes. Toward Better Age Estimates for Stellar Populations: The Isochrones for Solar Mixture // Astrophysical Journal Supplement 136. 2001. DOI:10.1086/321795. с. 417–437.
  27. ↑ Zeilik & Gregory 1998, p. 320
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