Dumb-bell of variable length in an elliptic orbit: Relative equilibria, periodicity, and chaos

Burov, A.; Kosenko, I.

Авторы: Burov A., Kosenko I.
Сборник: CHAOS 2011 - 4th Chaotic Modeling and Simulation International Conference, Proceedings
Глава в коллективной монографии
Год издания: 2019
Место издания: Agios Nikolaos
Первая страница: 53
Последняя страница: 60
Аннотация: Planar motion of an orbiting dumb-bell having a variable length in a central field of gravity is under analysis. Within the so-called "satellite approximation" planar attitude dynamics is described by a non-autonomous equation of the second order. The rule of the dumb-bell length vibrations implying an existence of the radial and tangent relative equilibria for any value of the orbit eccentricity is proposed. Stability of the found relativer equilibria and chaoticity for total dynamics are investigated. Splitting of separatrices for the perturbed, with respect to the pendulum-like motions, problem is established. This effect was proved not only for small eccentricities, but also for their finite values. Moreover, it turned out that the chaotic dynamics of a dumb-bell with an invariable mass distribution, existing because of the ellipticity of the orbit, cannot be suppressed with aid of periodic variations of the mass distribution, or the dumb-bell length. Nevertheless one might observe islands of regularity corresponding to librations of large amplitude demonstrating stable behavior. These librations can be useful for the transportation operation in the near-transversal directions of the dumb-bell orbital motion.
Добавил в систему: Никонов Василий Иванович

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Dumb-bell of variable length in an elliptic orbit: Relative equilibria, periodicity, and chaosстатья Исследовательская статья

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