Higher Order Theory for Long-Term Behavior of Earth and Lunar Orbiters
NAVAL RESEARCH LAB WASHINGTON DC OPERATIONS RESEARCH BRANCH
Pagination or Media Count:
A semianalytical method capable of analyzing both lunar and earth orbiters is presented. Primary attention is focused on predicting the evolution of the orbit as affected by third-body perturbations and those of the rotating primary. The singly averaged literal equations of motion are expanded by machine to a high order in the parallax factor and the mean motion ratio. These equations are numerically integrated to yield the orbital evolution and stability for a wide range of initial conditions. In addition, a purely analytical method is introduced to yield the orbital lifetimes for a special class of orbits.
- Spacecraft Trajectories and Reentry