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## Regular and chaotic relative motion of a dumb-bell-shaped satellite

Труды ИПА РАН, вып. 8, 27–28 (2002)

Ключевые слова: Very Long Baseline Interferometry (VLBI), celestial mechanics, dumb-bell-shaped satellite, regular and chaotic relative motion

### Аннотация

In this paper an orbital two-body system consisting of two point masses m1 , m2 , connected with an ideally flexible massless inextensible thread is considered. Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). The condition of existence of such motion is derived. If this condition is not met the system moves freely without being constrained. The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. Particular attention is focused on possible ways of motion chaotization.

### Цитирование

Текст
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RIS
V.V. Beletsky, M. L. Pivovarov, A. A. Savchenko. Regular and chaotic relative motion of a dumb-bell-shaped satellite // Труды ИПА РАН. — 2002. — Вып. 8. — С. 27–28. @article{beletsky2002, abstract = {In this paper an orbital two-body system consisting of two point masses m1 , m2 , connected with an ideally flexible massless inextensible thread is considered. Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). The condition of existence of such motion is derived. If this condition is not met the system moves freely without being constrained. The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. Particular attention is focused on possible ways of motion chaotization.}, author = {V.~V. Beletsky and M.~L. Pivovarov and A.~A. Savchenko}, issue = {8}, journal = {Труды ИПА РАН}, keyword = {Very Long Baseline Interferometry (VLBI), celestial mechanics, dumb-bell-shaped satellite, regular and chaotic relative motion}, pages = {27--28}, title = {Regular and chaotic relative motion of a dumb-bell-shaped satellite}, url = {http://iaaras.ru/library/paper/310/}, year = {2002} } TY - JOUR TI - Regular and chaotic relative motion of a dumb-bell-shaped satellite AU - Beletsky, V. V. AU - Pivovarov, M. L. AU - Savchenko, A. A. PY - 2002 T2 - Труды ИПА РАН IS - 8 SP - 27 AB - In this paper an orbital two-body system consisting of two point masses m1 , m2 , connected with an ideally flexible massless inextensible thread is considered. Equations are obtained for the plane relative motion of the system on the taut thread (on the assumption that the centre of mass of the system moves along the Keplerian elliptic orbit). The condition of existence of such motion is derived. If this condition is not met the system moves freely without being constrained. The torques of gravitational forces, aerodynamic pressure, aerodynamic friction and the aerogradient effect are taken into account. Particular attention is focused on possible ways of motion chaotization. UR - http://iaaras.ru/library/paper/310/ ER -