Abstract
An approximate analytical theory is developed for analysis for near-parabolic trajectories between the moon and the cislunar-libration point (I/i). The analysis of the Earth as a perturbative influence on the moon-referenced trajectories involves the local regularization of the unperturbed and perturbed two-body problem and development of general Encke-type perturbation theory in the regularized domain. The linearized perturbation equations are demonstrated to be analytically integrable in the regularized domain. The analysis investigates velocity requirements at LI and the moon for passage in either direction and passing either in front of or behind the moon. The approximate analytic theory gives close agreement to representative numerical results from a digital computer.
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