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

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

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.

Keywords


Perihelion; aphelion; analytic solution; Jacobi elliptic functions

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Revista Mexicana de Física

ISSN: 2683-2224 (on line), 0035-001X (print)

Bimonthly publication of Sociedad Mexicana de Física, A.C.
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