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Aug 4, 2011 · Taylor series is shown to be significantly faster and more accurate for oblateness problems up through a 4x4 field, with speedups ranging from ...
Missing: generation | Show results with:generation
Sep 21, 2020 · Calculating the projected distance for an elliptical orbit using the four first time derivatives of the position vector. (velocity, acceleration ...
Missing: generation | Show results with:generation
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Sep 13, 2009 · In the case of deriving orbital period, Taylor Expansion is used to approximate the force of gravity between two objects as a function of their ...
Missing: generation | Show results with:generation
Description: Lecture notes on preliminary orbit determination using Taylor series, approximate solution of the BVP using Taylor's series, another method of ...
Missing: generation expansion.
In what follows, we propose how to use this formula for the efficient determination of the step size. Let us define the local error of the solution as = y ...
May 3, 2021 · We present heyoka, a new, modern and general-purpose implementation of Taylor's integration method for the numerical.
In mathematics, the Taylor series or Taylor expansion of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at ...
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Frequently a simple regularizing transformation is used when orbits for the restricted problem near singularities are computed. ... used to establish the Taylor ...