Analysis of optimal strategies for soft landing on the Moon from lunar parking orbits |
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| Authors: | R V Ramanan Madan Lal |
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| Institution: | 1. Aerospace Flight Dynamics Group, Vikram Sarabhai Space Centre, 695 022, Thiruvananthapuram, India
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| Abstract: | Optimal trajectory design of a probe for soft landing on the Moon from a lunar parking orbit by minimizing the fuel required
is obtained. The problem is formulated as an optimal control problem with the thrust direction being the control variable.
Using the maximum principle of Pontryagin, the control variable is expressed as a function of co-state variables and the problem
is converted into a two-point boundary value problem. The two-point boundary value problem is solved using an optimization
technique, i.e., controlled random search. The strategies such as
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• direct landing from a lunar parking orbit using powered braking
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• direct landing from an intermediate orbit using powered braking
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• by executing powered braking in two phases: through horizontal braking and vertical landing
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are analyzed and an optimal strategy that achieves the goals is suggested. Also, appropriate design parameters are selected
using this analysis |
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| Keywords: | |
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