Geometrical dynamics: A new approach to periodic orbits aroundL
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Authors: | Richard Rand William Podgorski |
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Institution: | (1) Dept. of Theoretical and Applied Mechanics, Cornell University, Ithaca, N.Y., U.S.A. |
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Abstract: | Geometrical dynamics is the study of the geometry of the orbits in configuration space of a dynamical system without reference to the system's motion in time.Generalized coordinates for the circular restricted problem of three bodies are taken as polar coordinatesr, centered at the triangular libration pointL
4. A time-independent nonlinear second order ordinary differential equation forr as a function of is derived. Approximations to periodic solutions are obtained by perturbations and Fourier series. |
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