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

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

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 proceeding › Conference contribution

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 language	English
Title of host publication	AIAA/AAS Astrodynamics Specialist Conference and Exhibit
Publication status	Published - 2008
Event	AIAA/AAS Astrodynamics Specialist Conference and Exhibit - Honolulu, HI, United States Duration: 2008 Aug 18 → 2008 Aug 21

Publication series

Name	AIAA/AAS Astrodynamics Specialist Conference and Exhibit

Other

Other	AIAA/AAS Astrodynamics Specialist Conference and Exhibit
Country/Territory	United States
City	Honolulu, HI
Period	08/8/18 → 08/8/21

All Science Journal Classification (ASJC) codes

Astronomy and Astrophysics

Cite this

@inproceedings{9acf29fc48dd4ef5a5744794a23a250a,

title = "Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method",

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 {\textcopyright}.",

author = "Chandeok Park and Qi Gong and Ross, {I. Michael} and Pooya Sekhavat",

year = "2008",

language = "English",

isbn = "9781563479458",

series = "AIAA/AAS Astrodynamics Specialist Conference and Exhibit",

booktitle = "AIAA/AAS Astrodynamics Specialist Conference and Exhibit",

note = "AIAA/AAS Astrodynamics Specialist Conference and Exhibit ; Conference date: 18-08-2008 Through 21-08-2008",

}

TY - GEN

T1 - Fuel-optimal design of Moon-Earth trajectories using Legendre pseudospectral method

AU - Park, Chandeok

AU - Gong, Qi

AU - Ross, I. Michael

AU - Sekhavat, Pooya

PY - 2008

Y1 - 2008

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 ©.

UR - http://www.scopus.com/inward/record.url?scp=78651263681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651263681&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:78651263681

SN - 9781563479458

T3 - AIAA/AAS Astrodynamics Specialist Conference and Exhibit

BT - AIAA/AAS Astrodynamics Specialist Conference and Exhibit

T2 - AIAA/AAS Astrodynamics Specialist Conference and Exhibit

Y2 - 18 August 2008 through 21 August 2008

ER -

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

Abstract

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