Speaker: Prof. Kao-Chang Chen (National Tsing-Hua University)
Title: Satellite orbits of the restricted n-body problem
Time: 2009-03-12 (Thu.)  15:00 - 16:00
Abstract: The n-body problem concerns the motion of n celestial bodies moving in space in accordance with Newton's law of universal gravitation. When one of the celestial bodies has zero mass, the problem is called a restricted problem. The orbit of an infinitesimal point mass for the restricted n-body problem is called a satellite orbit. Classical methods for proving existence of periodic satellite orbits include the analytic continuation method, power series method, equating the Fourier coefficients, and the fixed point method. In recent years variational methods have been successfully applied to the n-body problem to construct miscellaneous solutions. In this talk I will briefly describe some recent progress related to satellite orbits.
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