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- Title
Evolution equations of the multi-planetary problem with variable masses.
- Authors
Kosherbayeva, A.B.; Minglibayev, M.Zh
- Abstract
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. 4 n evolutionary equations were obtained in analogues of Poincare elements. As an example, the evolutionary equations of the three-planet exosystem K 2 − 3 were obtained explicitly, which is a system of 12 linear non-autonomous differential equations. Further, the evolutionary equations will be investigated numerically.
- Subjects
CELESTIAL mechanics; VARIABLE mass systems; PLANETARY systems; PERTURBATION theory; STELLAR mass
- Publication
Proceedings of the International Astronomical Union, 2021, Vol 17, Issue S5370, p283
- ISSN
1743-9213
- Publication type
Article
- DOI
10.1017/S1743921322003611