Planetary orbits as limit cycles.

Physics

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Scientific paper

General relativistic orbits in the Schwarzschild metric can be analysed in terms of the anharmonic asymmetric oscillator. A simple generalization of the usual Fourier series, suitable for this type of nonlinear system, is used with a harmonic-balance method to study approximate solutions of perturbed orbits. The existence of solutions of the limit cycle type is demonstrated quantitatively.

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