Abstract— Analytical Solution with Two Time Scales of Circular Restricted Three-Body Problem. Analytical solution performs a vital role in a wide variety of deep space exploration missions, especially the periodic solutions which were believed to be the unique avenue to solve three-body problem by Poincaré. As the absence of a general solution for the problem, an approximate analytical solution of the circular restricted three-body problem is addressed by employing multiple scales method in conjunction with some analytical techniques. It is worthwhile to note that the presented solution in three-dimensional space contains two time scales: and ( is a small, dimensionless parameter), which is significative to improve and perfect the known literature.
Keywords— Analytical solution, multiple scales, three-body problem.
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