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

18 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

Fingerprint

moon-Earth trajectories
optimal control
parking orbits
trajectories
lunar orbits
flight time
gravitational effects
moon
budgets
thrust
sun
computer programs

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

Cite this

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).
Park, Chandeok ; Gong, Qi ; Ross, I. Michael ; Sekhavat, Pooya. / Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method. AIAA/AAS Astrodynamics Specialist Conference and Exhibit. 2008. (AIAA/AAS Astrodynamics Specialist Conference and Exhibit).
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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 {\circledC}.",
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Park, C, Gong, Q, Ross, IM & 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, AIAA/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, HI, United States, 08/8/18.

Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method. / Park, Chandeok; Gong, Qi; Ross, I. Michael; Sekhavat, Pooya.

AIAA/AAS Astrodynamics Specialist Conference and Exhibit. 2008. 2008-7074 (AIAA/AAS Astrodynamics Specialist Conference and Exhibit).

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

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AU - Sekhavat, Pooya

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N2 - 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 ©.

AB - 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 ©.

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