Orbital evolution.

Physics

Scientific paper

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N-Body Problem: Orbital Evolution, Planetary System: Resonances, Earth-Moon System: Dynamics

Scientific paper

The notion of evolution is introduced, as opposed to that of stability and instability. A definition is proposed that involves the variations of the energy and angular momentum integrals of a subgroup of an isolated N-body system. When there are only gravitational interactions between the bodies, the conditions for evolution are outlined and some examples are given. This is in particular applied to the case when there exists a massive central body. Several examples of evolution when non-conservative forces are also acting are proposed. The results are applied to the evolution of the Earth-Moon system.

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