Rigorous Global Optimization of Impulsive Planet-to-Planet Transfers in the Patched-Conics Approximation
AbstractThe rigorous solution of a generic impulsive planet-to-planet transfer by means of a Taylor-model-based
global optimizer is presented. Although a planet-to-planet transfer represents the simplest case of
interplanetary transfer, its formulation and solution is a challenging task when the rigorous global optimum is
sought. A customized ephemeris function is derived from JPL DE405 to allow the Taylor-model evaluation
of planets’ positions and velocities. Furthermore, the validated solution of Lambert's problem is addressed
for the rigorous computation of transfer fuel consumption. The optimization problem, which consists in
finding the optimal launch and transfer time to minimize the required fuel mass, is complex due to the
abundance of local minima and relatively high search-space dimension. Its rigorous solution by means of
the Taylor-model-based global optimizer COSY-GO is presented considering Earth–Mars and Earth–Venus
transfers as test cases.
R. Armellin, P. Di Lizia, K. Makino, M. Berz,
Engineering Optimization 44,2 (2012) 133-155
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