This paper analyzes the relative motion between two spacecraft in orbit. Specifically, the paper provides bounds for relative spacecraft velocity- based measures which impact spacecraft formation-flight mission design and analysis. The relative speed metric, and velocity components for formation-flight are presented for general Keplerian elliptic orbits along with the range rate metric for certain special cases. A methodology for bounding the metrics is presented. The extremal equations are formulated as an affine variety and solved using a Gröbner basis reduction. The metrics have utility to the mission designer of formation flight architectures, with relevance to Earth observation constellations and inter-satellite communications systems.
Velocity Extrema in Keplerian Relative Motion: A Gröbner Basis Approach
J Astronaut Sci
The Journal of the Astronautical Sciences ; 68 , 4 ; 785-804
2021-12-01
20 pages
Article (Journal)
Electronic Resource
English
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