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。
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.
基金
国家自然科学基金
关键词
天体力学
三体问题
变质量天体
celestial mechanics
problem of three bodies
libration point
body with variable mass
Jeans law
