Averaging analyses for spacecraft orbital motions around asteroids

作者：Hu Wei Duo^*; Scheeres D J

来源：Acta Mechanica Sinica, 2014, 30(3): 294-300.

DOI：10.1007/s10409-014-0050-9

• Orbital mechanics
• Asteroid
• Secular motion
• Resonant orbit
• Averaging theory

This paper summarizes a few cases of spacecraft orbital motion around asteroid for which averaging method can be applied, i.e., when central body rotates slowly, fast, and when a spacecraft is near to the resonant orbits between the spacecraft mean motion and the central body's rotation. Averaging conditions for these cases are given. As a major extension, a few classes of near resonant orbits are analyzed by the averaging method. Then some resulted conclusions of these averaging analyses are applied to understand the stability regions in a numerical experiment. Some stability conclusions are obtained. As a typical example, it is shown in detail that near circular 1:2 resonant orbit is always unstable.

• 出版日期2014-6
• 单位北京航空航天大学