The numerical determination of nominal libration point trajectories and development of a stationkeeping strategy
Abstract
In the circular restricted three body problem, 3D bounded motion associated with the collinear libration points is known to exist from earlier studies. One such type of trajectory is a Lissajous orbit. Future mission plans include trajectories near the interior libration point in the SunEarth system and may consider Lissajous orbits as part of the trajectory design. Except for the special case of the halo orbit, the numerical computation of Lissajous paths has been limited. The determination is considered of such trajectories numerically for an arbitrary, predetermined number of revolutions. A method developed previously for the determination of such orbits in the circular three body problem is extended for use in the elliptic restricted three body problem, as well as with a model that uses polynomial representations of ephemeris data to locate an arbitrary number of attracting bodies. Since Lissajous trajectories are unstable, spacecraft moving on these paths must use some form of trajectory control to remain close to their normal orbit. A stationkeeping strategy was developed applicable to libration point trajectories that uses maneuvers executed at discrete time intervals. Propellant costs related to maneuvers are examined.
 Publication:

Ph.D. Thesis
 Pub Date:
 August 1990
 Bibcode:
 1990PhDT........26P
 Keywords:

 Fuel Consumption;
 Librational Motion;
 Lissajous Figures;
 Stationkeeping;
 Three Body Problem;
 Trajectory Control;
 Trajectory Optimization;
 Collinearity;
 Cost Reduction;
 Eccentric Orbits;
 Ephemerides;
 Orbit Calculation;
 Polynomials;
 Astrodynamics