Generalized intermediary potentials for satellite orbits around oblate planets
Keywords:
main problem in artificial satellite theory, intermediary potential, radial intermediary, zonal intermediary, perturbation theory, gravitational, potentialAbstract
The main problem in artificial satellite theory is modeled by an initial value problem describing the motion of a mass particle in an axially symmetric potential. In the case of Earth, this potential is truncated up to order 4 in the series that approximate the full potential, and only the even zonal harmonics terms are considered. The problem is non-integrable and even exhibits chaotic behaviour. However, approximate solutions may be given by replacing the original potential with an approximation, generally named an intermediary potential. Several solutions have been offered in this way starting from the beginning of the space era at the middle of the 20th century. The present work offers the general intermediary potential that contains all of the previous models as particular cases, opening the path in finding the most appropriate potential for various types of orbits.
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