Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method

Chandeok Park, Qi Gong, I. Michael Ross, Pooya Sekhavat

Research output: Chapter in Book/Report/Conference proceedingConference contribution

20 Citations (Scopus)

Abstract

A fuel-optimal trans-Earth trajectory design for manned lunar missions is presented. The gravitational effects of the Moon, Earth, and Sun constitute a 4-body problem. Imposing maximum thrust, fuel budget, and flight time as design constraints, we formulate a nonlinear constrained fuel-optimal control problem to obtain an optimal trajectory from a low lunar parking orbit to an Earth interface condition. The resulting optimal control problem is solved using Legendre pseudospectral method. An anti-aliasing method based on Bellman's principle of optimality is employed to test and improve the accuracy of the solution. All results are developedn and obtained using the software package DIDO ©.

Original languageEnglish
Title of host publicationAIAA/AAS Astrodynamics Specialist Conference and Exhibit
Publication statusPublished - 2008 Dec 1
EventAIAA/AAS Astrodynamics Specialist Conference and Exhibit - Honolulu, HI, United States
Duration: 2008 Aug 182008 Aug 21

Publication series

NameAIAA/AAS Astrodynamics Specialist Conference and Exhibit

Other

OtherAIAA/AAS Astrodynamics Specialist Conference and Exhibit
CountryUnited States
CityHonolulu, HI
Period08/8/1808/8/21

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

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    Park, C., Gong, Q., Ross, I. M., & Sekhavat, P. (2008). Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method. In AIAA/AAS Astrodynamics Specialist Conference and Exhibit [2008-7074] (AIAA/AAS Astrodynamics Specialist Conference and Exhibit).