›› 2013, Vol. 33 ›› Issue (2): 25-31.doi: 10.3780/j.issn.1000-758X.2013.02.005

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Indirect Optimization of Low Thrust Escape Trajectories

HUANG  Gao, HAN  Chao   

  1.  School of Astronautics, Beihang University, Beijing 100191
  • Received:2012-05-28 Revised:2012-10-25 Online:2013-04-25 Published:2013-04-25

Abstract: At present, most of the research on low thrust escape trajectory optimization were limited to planar escape or unconstrained engine model. Using the indirect method, the unknown parameters of the two-point-boundary-value-problem were bounded in a hyper unit sphere by multiplying a positive unknown parameter to the fuel optimal performance index. Firstly, the two-dimensional short-time fuel-optimal escape trajectory without control constraint was solved by the homotopy method and curve fits technology. Finally, the three-dimensional long-time fuel-optimal escape trajectory with control constraint was solved. This method is validated to be high-accuracy, good-convergence and efficient for low thrust escape trajectory optimization.

Key words: Low thrust, Escape trajectory, Fuel optimization, Interplanetary exploration