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Applicability of the Bulirsch-Stoer algorithm in the circular restricted three-body problem

Published online by Cambridge University Press:  20 January 2023

Tatiana Demidova Open the ORCID record for Tatiana Demidova [Opens in a new window]
Tatiana Demidova*
Affiliation:
Crimean Astrophysical Observatory of Russian Academy of Sciences p. Nauchny, Bakhchisaray, Crimea, Russia, 298409 email: [email protected]
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Abstract

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The dynamics of massless planetesimals in the gravitational field of a star with a planet in a circular orbit is considered. The invariant of this problem is the Jacobi integral. Preserving the value of the Jacobi integral can be a test for numerical algorithms solving the equation of motion. The invariant changes for particles in the planetary chaotic zone due to numerical errors that occur during close encounters with the planet. The limiting distances from the planet, upon reaching which the value of the Jacobi integral changes, are determined for Bulirsch-Stoer algorithm. It is shown that violation of the Jacobi integral can be used to define the boundaries of the planetary chaotic zone.

Keywords

Bulirsch-Stoer algorithmcircular restricted three-body problemsimulation
Type
Poster Paper
Information
Proceedings of the International Astronomical Union , Volume 16 , Symposium S362: The Predictive Power of Computational Astrophysics as a Discovery Tool , June 2020 , pp. 356 - 357
Copyright
© The Author(s), 2023. Published by Cambridge University Press on behalf of International Astronomical Union

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