On the stability of artificial equilibrium points in the circular restricted three-body problem |
| |
| Authors: | Claudio Bombardelli Jesus Peláez |
| |
| Institution: | (1) Department of Mechanical Engineering, University of Strathclyde, Glasgow, G1 1XJ, UK |
| |
| Abstract: | The article analyses the stability properties of minimum-control artificial equilibrium points in the planar circular restricted
three-body problem. It is seen that when the masses of the two primaries are of different orders of magnitude, minimum-control
equilibrium is obtained when the spacecraft is almost coorbiting with the second primary as long as their mutual distance
is not too small. In addition, stability is found when the distance from the second primary exceeds a minimum value which
is a simple function of the mass ratio of the two primaries and their separation. Lyapunov stability under non-resonant conditions
is demonstrated using Arnold’s theorem. Among the most promising applications of the concept we find solar-sail-stabilized
observatories coorbiting with the Earth, Mars, and Venus. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
