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Nonlinear physics and mechanics
Spacecraft with Periodic Mass Redistribution:
Regular and Chaotic Behaviour
A. A. Burova, I. I. Kosenkob, V. I. Nikonova a Federal Research Center “Computer Science and Control” of Russian Academy of Sciences,
ul. Vavilova 40, Moscow, 119333 Russia
b Moscow Aviation Institute (National Research University),
Volokolamskoe sh. 4, Moscow, 125993 Russia
Аннотация:
The motion of a spacecraft containing a moving massive point in the central field of Newtonian attraction is considered. Within the framework of the so-called “satellite approximation”,
the center of mass of the system is assumed to move in an unperturbed elliptical Keplerian orbit. The spacecraft’s dynamics about its center of mass is studied. Conditions under which the
spacecraft rotates about a perpendicular to the plane of the orbit uniformly with respect to the
true anomaly are found. Such uniform rotations are achieved using a specially selected rule for
changing the position of a massive point with respect to the spacecraft. Necessary conditions for
these uniform rotations are studied numerically. An analysis of the nonintegrability of a special
class of spacecraft’s rotation is carried out using the method of separatrix splitting. Poincaré
sections are constructed for certain parameter values. Several linearly stable periodic motions
are pointed out and investigated.
Ключевые слова:
spacecraft attitude dynamics, spacecraft in an elliptic orbit, spacecraft with variable mass distribution, spacecraft’s chaotic oscillations, spacecraft’s periodic motions.
Поступила в редакцию: 05.12.2022 Принята в печать: 26.12.2022
Образец цитирования:
A. A. Burov, I. I. Kosenko, V. I. Nikonov, “Spacecraft with Periodic Mass Redistribution:
Regular and Chaotic Behaviour”, Rus. J. Nonlin. Dyn., 18:4 (2022), 639–649
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd816 https://www.mathnet.ru/rus/nd/v18/i4/p639
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