Icarus运动中广义相对论效应的研究

THE STUDY OF GENERAL RELATIVISTIC EFFECT IN THE MOTION OF ICARUS

本文研究了特殊近日小行星(1566)Icarus运动中的广义相对论效应问题.引进相对论的相关参数λ,以此λ值之是否为1作为该效应确立与否的判别依据.本文建立太阳系天体的动力学数值框架,收集自1949年至1987年期间关于Icarus的观测资料,通过实测与理论计算值的比较,联解其轨道6参数改正量和λ值,得到λ=1.0124±0.0410,检验并确立了广义相对论效应。文中同时计算研究了太阳引力四极矩的作用问题,提出了J_(2⊙)的合理估值.

Near-Sun asteroid (1566) Icarus is a well-known suitable object for studying general relativistic effect on its motion. We collected 578 observations in the interval 1949—1987 and researched Icarus' orbit so as to explore if this effect is exactly true by introducing a parameter λ as defined by I. I. Shapiro et al.. Including the general relativity term and taking the perturbations of all the major planets and the Moon into account, equations of motion of 11 objects were integrated synchrnously. By combining and solving 578×2 O-C equations in total to search for λ and the corrections of r,r Icarus' initial values we obtained: λ=1.0124 ±0.0410, indicating that the general relativistic effect is established. Following an introduction in Section 1 and the planetary equation of motion in Section 2, in Section 3, we expound the integration method and evaluate the computational accuracy as listed in Table 1 and Table 2 respectively. Explanation of the Icarus' observations we used and some necessary reduction are in 'he Section 4. The final results of parameter λ and improved orbital elements of Icarus are given in Section 5. The influence of solar gravitational quadrupole moment upon the motion of Icarus is computationally researched in Section 6. We briefly conclude in Section 7 that: 1). The genetral relativistic effect is evidential in the motion of Icarus. 2). The interval of observations for our research is of decisive significance, and further observations of Icarus are still extremely important. 3). According to the Icarus' observations now available, it seems difficult to determine the solar gravitational quadrupole moment directly, but the computation in this paper shows that the value of J_(2⊙) between 10^(-6)—10^(-5)is more reasonable.