卫星距离的新经验公式及其说明

本文求出木卫、土卫、天卫系中卫星离行星的距离α_n的一种新经验公式:α_n=B₁·Bn,其中B₁、B对各卫星系是常数.由此计算结果与观测值偏差一般小于10%.我们认为,卫星是在行星周围的气体-星子盘中,通过小星子聚集形成的,盘中主要成分是气体,气体阻尼效应在星子聚集形成卫星过程中起重要作用.分析表明,盘中的一种径向小扰动可以导致引力不稳定性而形成密度增加的气体环系.在这种环系中小星子聚集形成卫星.环分布形式导致距离规律. 

An New Experimental Formula of Satellite Distances and Its Explanation

In the solar system, there are three satellite systems-those of Jupiter, Saturn and Uranus. In each satellite system, there is a law of satellite distances. An new empiri-mental formuls of this law is obtained, i.e. (1) in this paper, α_n=B₁×Bn, where an is the orbital semi-major axis of n-th satellite, B₁ and Bare constants for each system. Gonorally, the relative error of the value calculated from above formula with the observational value is not more than 10%. However, small satellites have larger errors.