The Jacobi elliptic functions and their applications in the advance of mercury's perihelion

Authors

  • A.H. Salas S.
  • J.E. Castillo H.
  • C.E. Restrepo R.

Keywords:

Perihelion, aphelion, analytic solution, Jacobi elliptic functions

Abstract

In this paper we find the exact solution of the nonlinear differential equation describing the trajectory of mercury considering relativistic effects. Instead of the classical perturbation method we use the Jacobi elliptic functions to obtain the exact solution. The deviation of the perihelion of Mercury and other planets is calculated. The results may be of great interest to astronomers and for those interested in the study of nonlinear differential equations.

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Published

2015-01-01

How to Cite

[1]
A. Salas S., J. Castillo H., and C. Restrepo R., “The Jacobi elliptic functions and their applications in the advance of mercury’s perihelion”, Rev. Mex. Fís., vol. 61, no. 5 Sept-Oct, pp. 392–0, Jan. 2015.

Issue

Vol. 61 No. 5 Sept-Oct (2015): Revista Mexicana de Física.

Section

Articles

License

Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.