Evolution equations of the multi-planetary problem with variable masses
Kosherbayeva A.B. Zh Minglibayev M.
2023Cambridge University Press
Proceedings of the International Astronomical Union
2023#17Issue S370283 - 284 pp.
We investigated the influence of the variability of the masses of planets and the parent star on the dynamic evolution of n planetary systems, considering that the masses of bodies change isotropically with different rates. The methods of canonical perturbation theory, which developed on the basis of aperiodic motion over a quasi-conical cross section and methods of computer algebra were used. 4n evolutionary equations were obtained in analogues of Poincare elements. As an example, the evolutionary equations of the three-planet exosystem K2 − 3 were obtained explicitly, which is a system of 12 linear non-autonomous differential equations. Further, the evolutionary equations will be investigated numerically.
analogues of Poincare elements , celestial mechanics , multi-planetary system , secular perturbation , variable mass
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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Al-Farabi Kazakh National University
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