#7072. Optimal Control for a Space Rendezvous

December 2026publication date
Proposal available till 10-05-2025
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Journal’s subject area:
Mechanical Engineering;
Mechanics of Materials;
Materials Science (all);
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Abstract:
We consider the transfer of a chaser vehicle to a space station using impulsive control with minimal fuel consumption. It is assumed that the space station moves on a circular Keplerian orbit in a rotational symmetric gravitational field and that the chaser vehicle has already reached the station’s orbital plane. The vehicle is steered by impulsive burns of the rockets. The problem is solved numerically using Pontryagin’s maximum principle for impulsive controls by a multiple shooting method and a continuation procedure to study the variation of the optimal control strategy for varying time constraints. The problem is studied using a local linearized system and the fully nonlinear system using local Cartesian and polar coordinates.
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