An Optimal Fuel Guidance Law for Lunar SoftLanding Based on
 ThreeDimensional Dynamic Model

Abstract

Abstract: Optimal fuel consumption is required in the process of lunar softlanding. An optimal fuel guidance law is designed with the method of variational calculus. The problem is converted into the terminal timefree twopoint boundary value problem (TPBVP) based on variational calculus. Then a timescale method is used to convert the terminal timefree TPBVP into terminal timefixed TPBVP. Finally, an initial adjoint variables guess approach is introduced to assure the convergence of the numerical iteration method for solving TPBVP. The exact terminal time and initial value of adjoint variables are calculated by numerical method, as well as the optimal fuel guidance law and 3D optimal trajectory. The simulation results show that the proposed method is valid and achieve the goal of optimal fuel guidance.

Key words: , lunar softlanding, 3dimensional dynamic model, optimal fuel, guidance law, twopoint boundary value problem (TPBVP)

CLC Number:

V 448.2

XIAO Yao,RUAN Xiaogang,WEI Ruoyan. An Optimal Fuel Guidance Law for Lunar SoftLanding Based on
ThreeDimensional Dynamic Model[J]. Journal of Shanghai Jiaotong University, 2017, 51(6): 734-740.

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