Calcul d'orbites de satellites artificiels par la méthode de Kaula

Abstract

Kaula's theory is an analytical theory for artificial satellits orbit determination. This work compare kaula's results with numerical integration's ones. We develop the potential in spherical harminics. We detail a way to obtain Lagrange equations. We then integrate these equations with Kaula's method. After, we compare Kaula's method with numerical integration. In that aim we will take several initials conditions for the semi-major axis, the eccentricity and the inclination. We discuss about small and critical inclinations, small and large eccentricities and resonant orbits.

Date of Award	2006
Original language	French
Supervisor	Florent Deleflie (Co-Supervisor), Jacques HENRARD (Jury) & Anne Lemaitre (Supervisor)