Artificial Satellites Preliminary Orbit Determination by modified high-order Gauss methods (CMMSE10)

Víctor Arroyo (1) , Alicia Cordero (1) , Juan R. Torregrosa (1) , Maria Vassileva (2)

1 UPV - Universitat Politècnica de València = Universitad Politecnica de Valencia = Polytechnic University of Valencia
2 Instituto Tecnológico de Santo Domingo

In recent years, high-order methods have shown to be very useful in many practical applications, in which nonlinear systems arise. In this case, a classical method of positional astronomy have been modified in order to hold a nonlinear system in its establishments (that in the classical method is reduced to a single equation). At this point, high-order methods have been introduced in order to estimate the solutions of this system and, then, determine the orbit of the celestial body. We also have implemented a user friendly application, which will allow us to make a numerical and graphical comparison of the different methods with reference orbits, or user defined orbits.

Mots clés: Physical Sciences

Domaines: Informatique [cs]

Víctor Arroyo, Alicia Cordero, Juan R. Torregrosa, Maria Vassileva. Artificial Satellites Preliminary Orbit Determination by modified high-order Gauss methods (CMMSE10). International Journal of Computer Mathematics, 2011, pp.1. ⟨10.1080/00207160.2011.560266⟩. ⟨hal-00710045⟩