On the Asymptotic Stability of a Satellite with a Gravitational Stabilizer

摘要

The problem of the influence of the structure of forces on the stability of the relative equilibrium of a controlled satellite with a gravitational stabilizer on the circular orbit is studied. In the space of entered parameters, the regions with different degrees of instability by Poincare are found. Assuming an instability of a potential system, the problem of the possibility of its stabilization up to asymptotic stability is considered. A parametric analysis of the obtained inequalities with the help of "Mathematica" built-in tools for symbolic-numerical modelling is carried out.