Further analysis about the regions of motion of general three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Celestial Mechanics, Orbital Position Estimation, Three Body Problem, Collinearity, Orbital Mechanics, Position (Location)

Scientific paper

The ranges of change of the angle I between the orbits of two bodies are investigated. The conditions for determining whether relative motions are direct or retrograde are obtained and the maximum and minimum of I when three bodies are in collinear positions are presented. It is proved that the ranges of variation of I must attain maximum and minimum values when three bodies are in collinear positions.

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