Station-keeping for a translunar communication station

Details Station-keeping for a translunar communication station Station-keeping for a translunar communication station

Nov 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974cemec..10..357b&link_type=abstract

Celestial Mechanics, vol. 10, Nov. 1974, p.357-373.

Computer Science

Numerical Analysis

4

Earth-Moon System, Halo Orbit Space Station, Lagrangian Equilibrium Points, Spacecraft Communication, Stationkeeping, Equations Of Motion, Nonlinear Equations, Numerical Analysis, Optimal Control, Spacecraft Control, Three Body Problem

Scientific paper

A translunar communication station is to be kept close to a nominal unstable periodic 'halo' orbit, visible at all times from earth. The analytically computed nominal orbit is not perfect, requiring an average control acceleration of about .000001 g for tight control. An adjustable quadratic combination of position deviation and control acceleration is minimized to provide an (adjustable) control law with period feedback gains and a periodic bias. The average control acceleration can be reduced to less than 10 to the minus 8th g with an error settling time of less than 2.5 months. The resulting limiting motion provides, in turn, an improved nominal, permitting the same low control cost with much tighter control, corresponding to settling times of the order of one day.

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