A Heuristic Strategy to Compute Ensemble of Trajectories for 3D Low Cost Earth-Moon Transfers

de Sousa-Silva, P. A., Terra, M. O., McInnes, C. R. and Ceriotti, M. (2016) A Heuristic Strategy to Compute Ensemble of Trajectories for 3D Low Cost Earth-Moon Transfers. In: 67th International Astronautical Congress (IAC), Guadalajara, Mexico, 26-30 Sep 2016,

129010.pdf - Accepted Version



The problem of finding optimal trajectories is essential for modern space mission design. When considering multibody gravitational dynamics and exploiting both low-thrust and high-thrust and alternative forms of propulsion such as solar sailing, sets of good initial guesses are fundamental for the convergence to local or global optimal solutions, using both direct or indirect methods available to solve the optimal control problem. This paper deals with obtaining preliminary trajectories that are designed to be good initial guesses as input to search optimal low-energy short-time Earth-Moon transfers with ballistic capture. A more realistic modelling is introduced, in which the restricted four-body system Sun-Earth-Moon-Spacecraft is decoupled in two patched planar Circular Restricted Three-Body Problems, taking into account the inclination of the orbital plane of the Moon with respect to the ecliptic. We present a heuristic strategy based on the hyperbolic invariant manifolds of the Lyapunov orbits around the Lagrangian points of the Earth- Moon system to obtain ballistic capture orbits around the Moon that fulfill specific mission requirements. Moreover, quasi-periodic orbits of the Sun-Earth system are exploited using a genetic algorithm to find optimal solutions with respect to total Dv, time of flight and altitude at departure. Finally, the procedure is illustrated and the full transfer trajectories assessed in view of relevant properties. The proposed methodology provides sets of low-cost and shorttime initial guesses to serve as inputs to compute fully optimized three-dimensional solutions considering different propulsion technologies, such as low, high, and hybrid thrust, and/or using more realistic models.

Item Type:Conference Proceedings
Additional Information:The authors thank the Newton Research Collaboration Programme of the Royal Academy of Engineering (UK), grant NRCP1516/1/34, and FAPESP (Brazil), grants 2015/16575-8, 2014/14448-6, 2013/07174-4, 2012/21023-6.
Glasgow Author(s) Enlighten ID:Ceriotti, Dr Matteo and McInnes, Professor Colin
Authors: de Sousa-Silva, P. A., Terra, M. O., McInnes, C. R., and Ceriotti, M.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Copyright Holders:Copyright © 2016 by Priscilla Sousa-Silva, Maisa O. Terra, Collin R. McInnes, and Matteo Ceriotti.
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
706061Optimization of near-Earth orbit transfersMatteo CeriottiThe Royal Academy of Engineering (RAE)NRCP1516/1/34ENG - ENGINEERING SYSTEMS POWER & ENERGY