Three Dimensional Orbital Stability About the Earth-Moon Equilateral Libration Points.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
Pagination or Media Count:
A search for a stable three dimensional orbit for a satellite about L4 is performed. A proposed two dimensional very restricted orbit is used to supply the initial conditions required for the search. An ephemeris of high accuracy is generated from a specific date and time using actual positions for the sun and moon. The generated sun and moon position and velocity vectors are used in the integration of the systems equations of motion. A stable orbit is found and is tested for its length of stability. The orbit is found to have a stable lifetime in excess of six hundred lunar synodic months. The sensitivity of the orbit to the suns and moons position is tested and found to be only slightly sensitive for an error in position of one quarter day. Finally, a predicted 180 deg out of phase orbit is found and is determined to be only marginally stable.
- Spacecraft Trajectories and Reentry