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



Document title: The Jacobi elliptic functions and their applications in the advance of mercury's perihelion
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000388921
ISSN: 0035-001X
Authors: 1
1
1
Institutions: 1Universidad de Caldas, Departamento de Matematicas, Manizales, Caldas. Colombia
Year:
Season: Sep-Oct
Volumen: 61
Number: 5
Pages: 392-399
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English 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
Disciplines: Física y astronomía
Keyword: Física,
Perihelio,
Afelio,
Soluciones analíticas,
Función elíptica de Jacobi
Keyword: Physics and astronomy,
Physics,
Perihelion,
Aphelion,
Analytic solutions,
Jacobi elliptic function
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