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Programming and Computer Software

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01.03.2019

Applications of Computer Algebra in the Study of the Two-Planet Problem of Three Bodies with Variable Masses

verfasst von: A. N. Prokopenya, M. Zh. Minglibayev, S. A. Shomshekova

Erschienen in: Programming and Computer Software | Ausgabe 2/2019

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Abstract

The classical two-planet problem of three bodies of variable masses is studied in the general case when the body masses vary anisotropically at different rates. Differential equations of motion in terms of osculating elements of aperiodic motion along quasi-conic sections are derived. An algorithm for computing the perturbation function in the form of power series in small parameters and the derivation of differential equations determining the secular perturbations of the orbital elements are discussed. All symbolic computations are performed using Mathematica.

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Titel: Applications of Computer Algebra in the Study of the Two-Planet Problem of Three Bodies with Variable Masses
verfasst von: A. N. Prokopenya
M. Zh. Minglibayev
S. A. Shomshekova
Publikationsdatum: 01.03.2019
Verlag: Pleiades Publishing
Erschienen in: Programming and Computer Software / Ausgabe 2/2019
Print ISSN: 0361-7688
Elektronische ISSN: 1608-3261
DOI: https://doi.org/10.1134/S0361768819020087

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