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中文摘要：
本文研究了艳后星（216 Kleopatra）和爱神星（433 Eros）附近的周期轨道,在考虑太阳引力摄动的情况下,发现了以往所遗漏的216 Kleopatra轨道族和环绕433 Eros的12族周期轨道,并且给出了它们的特性.研究结果表明,太阳引力对小行星平衡点位置的影响很小,但是对平衡点上航天器运动的影响较大.同族不稳定轨道中,大Jacobi常数轨道更容易在摄动后保持轨道原来特性,这很好地解释了小行星卫星在较远轨道上长期存在的可能性.
英文摘要：
Orbital dynamics with solar gravity perturbation in the vicinity of the irregular asteroids is studied in this paper. The motions in the gravity fields of 216 Kleopatra and 433 Eros, and the periodic orbits around the asteroids with perturbation of solar gravitation are analyzed to find a new family of periodic orbits of 216 Kleopatra. It is also found that there are 12 families of periodic orbits as well as a bounded non-periodic orbit around 433 Eros, and their topology and stability are studied in some details. The results show that solar gravitation has little effects on the positions of asteroids equilibria in the body-fixed frame while has greater effects on the motions of a spacecraft on the equilibria. The solar gravitation is not strong enough to increase or decrease the families of periodic orbits, nor is it able to change the stabilities of periodic orbits. It is easier for orbits with larger Jacobi constant to keep their periodic characteristics under the solar perturbation that gave a new thread to explain why asteroids can have some satellites in far distance for a long time.
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