太阳多方模型对行星轨道要素变化的长期摄动影响

本文利用天体力学中的摄动理论和天体物理学中的气体星多方模型理论研究了太阳多方模型对行星轨道要素变化的长期摄动影响。文中给出了太阳日多方指数ｎ＝３的模型由于自转、扁度和内部密度分布等因素对行星轨道要素变化的长期摄动效应的理论结果。研究结果表明：行星轨道要素除长轴、偏心率和轨道倾角不受长期摄动外升交点经度、近日点经度以及平近点角均受长期摄动的影响。最后利用理论结果对行星轨道要素的长期投动效应做了数值计算，数值结果在表１中给出。

The Secular Perturbation Effect of the Solar Polytropic Model on the Variation of Planetary Orbital Elements

The secular perturbation effects of the solar polytropic model on the variation of planetary orbital elements are studied based on the general perturbation theory in celestial.mechnics and the polytropic model o gaseous star in astrophysics' The secular perturbation of planetary orbital elements caused by the rotation.oblateness and central density of the sun for the polytropic index n=3 are derived. The result shows clearly that the secular perturbation affects the variation of the longitudes of perihelion, the ascending node and the mean anomaly of epoch, but the semimajor axis, the eccentricity and the inclination remain un-affected. The authors also applied the obtained theoretical results to the calculation for the four planets in solar system and the mumerical results are given in Thble 1.