Homotopy method for minimum consumption orbit transfer problem. (English) Zbl 1113.49032
Summary: The numerical resolution of the low thrust orbital transfer problem around the Earth with the maximization of the final mass or minimization of the consumption is investigated. This problem is difficult to solve by shooting method because the optimal control is discontinuous and a homotopic method is proposed to deal with these difficulties for which convergence properties are established. For a thrust of 0.1 Newton and a final time 50% greater than the minimum one, we obtain 1786 switching times.
MSC:
| 49M05 | Numerical methods based on necessary conditions |
| 65H20 | Global methods, including homotopy approaches to the numerical solution of nonlinear equations |
| 70M20 | Orbital mechanics |
| 70Q05 | Control of mechanical systems |
Keywords:
Orbital transfer; optimal control problem; shooting method; differential homotopy; predictor-corrector methodSoftware:
HOMPACK90References:
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