Investigation of equilibria of a satellite subjected to gravitational and aerodynamic torques

Abstract

Attitude motion of a satellite subjected to gravitational and aerodynamic torques in a circular orbit is investigated. In special case, when the center of pressure of aerodynamic forces is located on one of the principal central axes of inertia of the satellite, all equilibrium orientations are determined. Necessary and (or) sufficient conditions of stability are obtained for each equilibrium orientation. Evolution of domains where stability conditions take place is investigated. All bifurcation values of parameters corresponding to qualitative change of domains of stability are determined.

Equilibria of a satellite subjected to gravitational and aerodynamic torques with pressure center in a principal plane of inertia

“…The present work pushes forward the study started in Sarychev and Mirer (2000) and Sarychev et al (2007) for more general case. Some theoretical results, such as equations of motion, conditions of equilibria existence, general form of stability conditions, obtained in the previous authors papers are cited in present article to make it more useful and clear for readers.…”

“…The basic problems of the satellite's dynamics with an aerodynamic attitude control system have been discussed in Sarychev (1968Sarychev ( , 1978 and Dranovsky et al (1974). More detailed review on this topic is given, for example, in Sarychev (1978) and Sarychev et al (2007).…”

Some Non-linear Parametric Resonance Oscillations Of Dumbell Satellite In Elliptical Orbit

“…closed form due to dependence of right hand side 'a' and' '. However the qualitative aspects of the solution can be examined with the help of Poincare theory (22). Eliminating the phase  in (3.12), we obtain: In order to obtain this relation in the neighborhood of the parametric resonance frequency, we introduce 1 2…”

Non-linear parametric resonance driven oscillations of dumbell satellite in elliptical orbit under the combined effects of magnetic field of the earth and oblateness of the earth

“…The different aspects of the problem of stability of satellites in low and high altitude orbit with different perturbation forces are studied by many scientists, (Sharma & Narayan 2001,2002, (Singh et al 1971(Singh et al ,1973(Singh et al ,1997, (Das et al 1976), and (Narayan et al 1987(Narayan et al ,1990(Narayan et al ,1992. Special references are mentioned (Sarychev et al 2000(Sarychev et al , 2007 studied the problem determining all equilibria of a satellite subject to gravitational and aerodynamic torque in circular orbit. All bifurcation values of the parameter corresponding to qualitative changes of stability domain are determined.…”