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



Título del documento: The Jacobi elliptic functions and their applications in the advance of mercury's perihelion
Revista: Revista mexicana de física
Base de datos: PERIÓDICA
Número de sistema: 000388921
ISSN: 0035-001X
Autors: 1
1
1
Institucions: 1Universidad de Caldas, Departamento de Matematicas, Manizales, Caldas. Colombia
Any:
Període: Sep-Oct
Volum: 61
Número: 5
Paginació: 392-399
País: México
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico, teórico
Resumen en inglés 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
Disciplines Física y astronomía
Paraules clau: Física,
Perihelio,
Afelio,
Soluciones analíticas,
Función elíptica de Jacobi
Keyword: Physics and astronomy,
Physics,
Perihelion,
Aphelion,
Analytic solutions,
Jacobi elliptic function
Text complet: Texto completo (Ver PDF)