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Planetary orbits as limit cycles

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Il Nuovo Cimento B (1971-1996)

Summary

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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Authors and Affiliations

  1. Departmento de Física, Universidad de Extremadura, 06071, Badajoz, Spain

    J. Díaz Bejarano & C. Miró Rodríguez

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  1. J. Díaz Bejarano
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  2. C. Miró Rodríguez
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Bejarano, J.D., Rodríguez, C.M. Planetary orbits as limit cycles. Nuov Cim B 107, 497–501 (1992). https://doi.org/10.1007/BF02723626

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  • DOI: https://doi.org/10.1007/BF02723626

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