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Memorias de investigación
Artículos en revistas:
Solving the Kepler equation with the SDG-code
Año:2017
Áreas de investigación
  • Matemáticas,
  • Fisica y ciencias del espacio,
  • Ingeniería aeronaútica
Datos
Descripción
A new code to solve the Kepler equation for elliptic and hyperbolic orbits has been developed. The motivation of the study is the determination of an appropriate seed to initialize the numerical method, considering the optimization already tested of the well-known Newton-Raphson method. To do that, we take advantage of the full potential of the symbolic manipulators. The final algorithm is stable, reliable and solves successfully the solution of the Kepler equation in the singular corner (M << 1 and e close to 1). In most of the cases, the seed generated by the Space Dynamics Group at UPM (SDG-code) leads to reach machine error accuracy with the modified Newton-Raphson methods with no iterations or just one iteration. This approach improves the computational time compared with other methods currently in use. The advantage of our approach is its applicability to other problems as for example the Lambert problem for low thrust trajectories.
Internacional
Si
JCR del ISI
No
Título de la revista
Advances in the Astronautical Sciences
ISSN
1081-6003
Factor de impacto JCR
Información de impacto
SPACEFLIGHT MECHANICS 2017
Volumen
160
DOI
Número de revista
Part-IV
Desde la página
4143
Hasta la página
4160
Mes
SIN MES
Ranking
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: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
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