Application of linear and convex optimization to the positioning of geostationary satellites and to position control
Abstract
The control problem involved in the rendezvous of a geostationary satellite with its intended location is discussed in terms of convex optimization with linear secondary conditions. Motion equations for the transition between quasi-circular orbits are examined, and the secondary conditions are characterized. Solutions requiring three or two impulses for coplanar transition and the possibility of solution for the case of weak jets are considered, and application to the problem of position control for a satellite with a gyro vector axis is indicated.
- Publication:
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Deutsche Gesellschaft fuer Luft- und Raumfahrt and Hermann-Oberth-Gesellschaft
- Pub Date:
- September 1978
- Bibcode:
- 1978dglr.meetR....H
- Keywords:
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- Geosynchronous Orbits;
- Global Positioning System;
- Rendezvous Trajectories;
- Satellite Control;
- Synchronous Satellites;
- Trajectory Optimization;
- Analog Simulation;
- Convexity;
- Equations Of Motion;
- Impulses;
- Linear Equations;
- Positioning;
- Thrust Programming;
- Transfer Orbits;
- Astrodynamics