Direct Multiple Shooting Optimization with Variable Problem Parameters

Ryan Whitley, Cesar Ocampo
2009 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition   unpublished
Taking advantage of a novel approach to the design of the orbital transfer optimization problem and advanced non-linear programming algorithms, several optimal transfer trajectories are found for problems with and without known analytic solutions. This method treats the fixed known gravitational constants as optimization variables in order to reduce the need for an advanced initial guess. Complex periodic orbits are targeted with very simple guesses and the ability to find optimal transfers in
more » ... pite of these bad guesses is successfully demonstrated. Impulsive transfers are considered for orbits in both the 2-body frame as well as the circular restricted three-body problem (CRTBP). The results with this new approach demonstrate the potential for increasing robustness for all types of orbit transfer problems.
doi:10.2514/6.2009-803 fatcat:7iocjb7amjaulhtgdn2vfl3nti