Hill's Problem in lunar theory

Computer Science – Numerical Analysis

Scientific paper

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Earth-Moon System, Hill Lunar Theory, Orbit Perturbation, Computer Programs, Convergence, Hamiltonian Functions, Numerical Analysis, Power Series, Solar System, Three Body Problem, Truncation Errors, Moon, Motion, Perturbations, Orbits, Trajectory, Eccentricity, Earth, Sun, Two Body Problem

Scientific paper

A power series solution is proposed for Hill's Problem considered as an
approximation of the main problem of lunar theory. Terms up to degree 28
in the parameter m (the ratio of mean motions) are considered. This
solution is intended to be the stepping stone for a solution of the main
problem with very high accuracy.

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