jianjie

沈凯先^1,2，乔荣川^1,2，刘建荣^1,2
(1. 中国科学院　国家授时中心，西安 710600；2. 中国科学院　联合光学实验室，北京100012)

Study and Development of Contemporary (Quantitative) Theories
on the Motion of the Uranian Major Satellites

SHEN Kai-xian^1,2, QIAO Rong-chuan^1,2, LIU Jian-rong^1,2
(1. Nation Time Service Center, Chinese Academy of Sciences, Xian'an 710600, China；2. Joint Lab of Optical Astronomy,
Chinese Academy of Sciences, Beijing 100012, China)

The data of the satellites acquired by spacecraft-centered radio and optical observations during the Voyager 2 encountering Uranus provide the first reliable estimation of the masses of all five major satellites. Contemporary quantitative theories on the motion of the Uranian satellites have been promoted. Laskar (1986) developed the first relatively complete (semi-) analytical theory (GUST86) with its high accuracy being confirmed by some authors. After that, the contributions of the refinement on the theory should be mentioned Malhotra (1989), Lazzaro (1987, 1991), investigated the effect of the near-resonance on the secular motion of the satellites; Taylor (1998), re-determined the masses of the five major satellites by the theoretical fitting into observations through numerical integration; Christou and Murray (1997) applied a second order Laplace-Lagrange theory to the satellite system. A general survey of how the quantitative theories of motion for the Uranian satellites was set up and developed is presented in the paper.