Hill's Lunar Theory Revisited

Authors

William E. Wiesel, Air Force Institute of Technology

Document Type

Conference Proceeding

Publication Date

8-9-2020

Abstract

A Hill-like dynamical system is posed, and used to construct a Hill periodic orbit and Floquet modes for the orbit of the Moon. The forcing from the earth's orbital eccentricity is also included. This theory is compared to ephemeris data from the NASA Horizons system, and agreement is within a few kilometers over at least a year. First efforts to construct this solution as a KAM torus are reported.

Comments

This conference paper was later published in Advances in the Astronautical Sciences, volume 175, p 823-831, 2021. 9780877036753

Source Publication

2020 AAS/AIAA Astrodynamics Specialist Conference

Recommended Citation

Wiesel, W. E. (2020). Hill’s Lunar Theory Revisited. AAS/AIAA Astrodynamics Specialist Conference, 2020. Session #22 : Dynamical Systems Theory Applied to Space Flight. AAS 20-434