A geometric method for determining the unperturbed orbit from observations using group transformations

Mathematics

Scientific paper

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Celestial Mechanics, Orbit Calculation, Two Body Problem, Phase Deviation, Trajectory Analysis, Transformations (Mathematics), Vector Analysis

Scientific paper

The transformation groups of the phase trajectories of the spatial
two-body problem are considered. A geometric method of orbit
determination based on derived group relationships is presented.
Equations for determining the orientation of the orbit plane from
observations are obtained.

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