A Perturbation Solution of the Main Problem in Artificial Satellite Theory
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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The main problem of artificial satellite theory is a restricted two body problem in which the Legendre Polynomial representation of the cylindrically symmetric potential contains only the first two terms. A generalized asymptotic expansion is used to obtain a first order approximation. The solution at the critical inclination is seen to be of a different type than at other inclinations. The solution is finite for all eccentricities and inclinations when suitably restricted in time.
- Numerical Mathematics
- Unmanned Spacecraft