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Memorias de investigación
Ponencias en congresos:
An efficient code to solve the Kepler equation
Año:2015
Áreas de investigación
  • 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 behavior of the modified Newton-Raphson method (or Laguerre 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 twelve 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 polinomial 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 small and e close to unity) 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
Nombre congreso
kepassa2015 : Key Topics in Orbit Propagation Applied to Space Situational Awareness
Tipo de participación
960
Lugar del congreso
Toulouse (France)
Revisores
Si
ISBN o ISSN
DOI
Fecha inicio congreso
28/10/2015
Fecha fin congreso
30/10/2015
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Título de las actas
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Virginia Raposo Pulido (UPM)
  • Autor: Jesus Pelaez Alvarez (UPM)
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
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