Determining the Titus Series Scale Factor, and Predicting Stable Orbits

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Scientific Paper
Title Determining the Titus Series Scale Factor, and Predicting Stable Orbits
Author(s) Daniel J Klaphaak
Keywords stable orbital radii; planets, satellites
Published 1994
Journal Galilean Electrodynamics
Volume 5
Number 1
Pages 13-22

Abstract

A method for predicting the stable orbital radii of planets orbiting stars or of satellites orbiting planets is presented. This method is based on a rationalized form of the Titius series, Xn - R = ABn in which the previously unpredictable scale factor, A, can be obtained using only the mass, radius, and equatorial velocity of the primary body in a given system. A is determined by substituting these three quantities in a relationship developed by dimensional analysis.