The stability of coplanar three-body systems with application to the solar system

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Hill Method, Mass Ratios, Orbit Perturbation, Orbital Mechanics, Solar Orbits, Three Body Problem, Celestial Mechanics, Coplanarity, Eccentric Orbits, Orbital Elements, Systems Stability

Scientific paper

The c2H condition for determining the Hill stability of
coplanar three-body systems is analysed for the particular situation
where the primary mass is much greater than the other two. It is found
that in this event the criterion can be expressed in a closed form. This
is applied to three-body subsets of the Solar System.

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