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Article · Programming and Computer Software · March 1, 2019
Applications of Computer Algebra in the Study of the Two-Planet Problem of Three Bodies with Variable Masses
Alexander N. Prokopenya, M. Zh. Minglibayev, Saule Shomshekova
Abstract
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.
Spacecraft Dynamics and ControlStellar, planetary, and galactic studiesSpace Satellite Systems and Controlthree-body problemvariable massosculating elements
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