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An New Experimental Formula of Satellite Distances and Its Explanation

Hu Zhong-wei, Chen Zhi-xiong   

  1. Astronomy Department, Nanjing University
  • Received:1982-12-09 Revised:1900-01-01 Online:1984-08-24 Published:1984-08-24

Abstract: 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, αn=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.