Use of the Levi-Civita method for analysis of optimal trajectories

Physics

Scientific paper

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Space Navigation, Spacecraft Trajectories, Trajectory Optimization, Variational Principles, Canonical Forms, Differential Equations, Elliptical Orbits

Scientific paper

The feasibility of using the Levi-Civita method for obtaining local
solutions in the analysis of optimal spacecraft trajectories is
demonstrated. The method is employed to find a class of local solutions
in the problem of minimizing characteristic velocity in a central force
field. Several orbital maneuver problems are considered as examples.

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