Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem

Mai Bando, Hiroshi Yamakawa

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

Abstract

This paper presents a procedure to design multiple rendezvous missions. We propose a new low-thrust trajectory optimization method to find the optimal trajectory in analytical form. The resulting control law is a feedback control, so that it is effective in overcoming sensitivities to small variations in initial orbit and thrust profile. This study determines the optimal approach to find an effective control law to sequential transfer problem. For comparison, optimal sequence using impulsive and continuous thrust method are investigated. Our approaches are illustrated through the trajectory design of the multiple flyby mission and resulting fuel costs are compared.

Original languageEnglish
Title of host publication61st International Astronautical Congress 2010, IAC 2010
Pages9611-9618
Number of pages8
Publication statusPublished - Dec 1 2010
Externally publishedYes
Event61st International Astronautical Congress 2010, IAC 2010 - Prague, Czech Republic
Duration: Sep 27 2010Oct 1 2010

Publication series

Name61st International Astronautical Congress 2010, IAC 2010
Volume12

Other

Other61st International Astronautical Congress 2010, IAC 2010
CountryCzech Republic
CityPrague
Period9/27/1010/1/10

Fingerprint

low thrust
Hamilton-Jacobi equation
rendezvous
thrust
flyby missions
Trajectories
trajectories
trajectory optimization
feedback control
costs
orbits
Feedback control
sensitivity
Orbits
profiles
Costs

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Astronomy and Astrophysics

Cite this

Bando, M., & Yamakawa, H. (2010). Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem. In 61st International Astronautical Congress 2010, IAC 2010 (pp. 9611-9618). (61st International Astronautical Congress 2010, IAC 2010; Vol. 12).

Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem. / Bando, Mai; Yamakawa, Hiroshi.

61st International Astronautical Congress 2010, IAC 2010. 2010. p. 9611-9618 (61st International Astronautical Congress 2010, IAC 2010; Vol. 12).

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

Bando, M & Yamakawa, H 2010, Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem. in 61st International Astronautical Congress 2010, IAC 2010. 61st International Astronautical Congress 2010, IAC 2010, vol. 12, pp. 9611-9618, 61st International Astronautical Congress 2010, IAC 2010, Prague, Czech Republic, 9/27/10.
Bando M, Yamakawa H. Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem. In 61st International Astronautical Congress 2010, IAC 2010. 2010. p. 9611-9618. (61st International Astronautical Congress 2010, IAC 2010).
Bando, Mai ; Yamakawa, Hiroshi. / Application of global solution of Hamilton-Jacobi equations to optimal low-thrust multiple rendezvous problem. 61st International Astronautical Congress 2010, IAC 2010. 2010. pp. 9611-9618 (61st International Astronautical Congress 2010, IAC 2010).
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