On the Dynamical Properties of the Sun-Earth-Moon Restricted Four Body Problem

Abstract:

The properties of the sun-earth-moon restricted four body problem were investigated. On the base of the earth-moon circular restricted three body problem, taking gravitation effect of the sun into account, a dynamic model of restricted four body problem was established. Equilibrium points were calculated by proper numerical method and linearization procedure was introduced to obtain the stability of these points. An invariant integral relation of this four body problem similar with Jacobi integral was derived, then the Hill region was investigated. Calculation results show that the equilibrium points will keep moving near libration points, also has their stability unchanged, and the Hill region will be non-periodically time varying.

• Periodical: Advanced Materials Research (Volumes 834-836)
• Pages: 1869-1872
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.834-836.1869
• Online since: October 2013
• Authors: Yun Yan Zhang*, Nan Li, Yan Jun Li
• Keywords: Equilibrium Points, Hill Region, Restricted Four Body Problem, Stability

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