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变质量椭圆限制性三体问题
引用本文:郑学塘,郁丽忠. 变质量椭圆限制性三体问题[J]. 南京理工大学学报(自然科学版), 1992, 0(4)
作者姓名:郑学塘  郁丽忠
作者单位:华东工程学院应用物理系(郑学塘),华东工程学院应用物理系(郁丽忠)
摘    要:该文利用Мещерскuu时空变换和波动坐标系研究了变质量椭圆限制性三体问题,得到小天体在波动坐标系中的运动方程、积分不变式和平动点的位置。文中指出:当小天体的质量减少时,所有平动点都移向坐标原点,当小天体的质量增加时,所有平动点都离开原点。

关 键 词:天体力学  三体问题  平动点  质量天体  琼斯定律

On the Elliptic Restricted Problem of Three Bodies with Variable Mass.
Zheng Xuetang. On the Elliptic Restricted Problem of Three Bodies with Variable Mass.[J]. Journal of Nanjing University of Science and Technology(Nature Science), 1992, 0(4)
Authors:Zheng Xuetang
Affiliation:Zheng Xuetang Department of Applied Physics
Abstract:Using space-time transformation of Meshcherskii and adoptingpulsating coordinate system, the elliptic restricted problem of three bodies withvarinble mass has been studied. Equatinn of motion, invariant relation andlocation of libration points of the small body in pulsating coordinate system aregiven in this paper. It should be pointed out that if the mass of small body isdecreasing,all of the libration points are moving to the origin and all the pointsare moving from the origin with the body's mass increasing.
Keywords:celestial mechanics  problem of three bodies  libration point  body with variable mass  Jeans law
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