The Jacobi elliptic functions and their applications in the advance of mercury’s perihelion
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2015
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| author | A.H. Salas S. |
| author_facet | A.H. Salas S. |
| contents | 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. Física, Astronomía y Matemáticas aphelion Perihelion analytic solution Jacobi elliptic functions 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. 2015 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57042599012 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.61 |
| format | Artículo científico |
| id | redalyc_57042599012 |
| institution | Redalyc |
| language | en |
| publishDate | 2015 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | The Jacobi elliptic functions and their applications in the advance of mercury’s perihelion A.H. Salas S. Física, Astronomía y Matemáticas aphelion Perihelion analytic solution Jacobi elliptic functions 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. Física, Astronomía y Matemáticas aphelion Perihelion analytic solution Jacobi elliptic functions 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. 2015 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57042599012 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.5 Vol.61 |
| title | The Jacobi elliptic functions and their applications in the advance of mercury’s perihelion |
| topic | Física, Astronomía y Matemáticas aphelion Perihelion analytic solution Jacobi elliptic functions |
| url | https://www.redalyc.org/articulo.oa?id=57042599012 |