Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Solving the Kepler equation with the SDG-code
Year:2017
Research Areas
  • Mathematics,
  • Physics & space science,
  • Aeronautical engineering
Information
Abstract
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.
International
Si
JCR
No
Title
Advances in the Astronautical Sciences
ISBN
1081-6003
Impact factor JCR
Impact info
SPACEFLIGHT MECHANICS 2017
Volume
160
Journal number
Part-IV
From page
4143
To page
4160
Month
SIN MES
Ranking
Participants
  • Autor: Virginia Raposo Pulido (UPM)
  • Autor: Jesus Pelaez Alvarez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
S2i 2019 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
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