Memorias de investigación
Artículos en revistas:
An efficient code to solve the Kepler equation. Elliptic case
Año:2017
Áreas de investigación
  • Ciencias del espacio,
  • Ingeniería aeronaútica
Datos
Descripción
A new approach for solving Kepler equation for elliptical orbits is developed in this paper. This new approach takes advantage of the very good behaviour of the modified Newton?Raphson method when the initial seed is close to the looked for solution. To determine a good initial seed the eccentric anomaly domain [0, ?] is discretized in several intervals and for each one of these intervals a fifth degree interpolating polynomial is introduced. The six coefficients of the polynomial are obtained by requiring six conditions at both ends of the corresponding interval. Thus the real function and the polynomial have equal values at both ends of the interval. Similarly relations are imposed for the two first derivatives. In the singular corner of the Kepler equation, M smaller than 1 and 1 ? e close to zero an asymptotic expansion is developed. In most of the cases, the seed generated leads to reach machine error accuracy with the modified Newton?Raphson method with no iterations or just one iteration. This approach improves the computational time compared with other methods currently in use.
Internacional
Si
JCR del ISI
Si
Título de la revista
Montly notice of the royal astronomical society
ISSN
0035-8711
Factor de impacto JCR
4,961
Información de impacto
Volumen
467
DOI
10.1093/mnras/stx138
Número de revista
2
Desde la página
1702
Hasta la página
1713
Mes
SIN MES
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Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Dinámica Espacial (SDG-UPM)
  • Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval