Central Configurations and Total Collisions for Quasihomogeneous N-body Problems
نویسندگان
چکیده
We consider n-body problems given by potentials of the form α r + β r with a, b, α, β constants, 0 ≤ a < b. To analyze the dynamics of the problem, we first prove some properties related to central configurations, including a generalization of Moulton’s theorem. Then we obtain several qualitative properties for collision and near-collision orbits in the Manev-type case a = 1. At the end we point out some new relationships between central configurations, relative equilibria, and homothetic solutions.
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