Solution to lambert's problem using generalized canonical transformations

Mai Bando; Hiroshi Yamakawa

Solution to lambert's problem using generalized canonical transformations

Mai Bando, Hiroshi Yamakawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we consider the canonical transformations and its applications appearing in astrodynamic problems. First we address stabilization of relative motion via generalized canonical transformation and passivity-based control. Then we propose a method to solve Lambert's problem based on the Hamilton-Jacobi-Bellman (HJB) equation in optimal control theory. Using the generalized canonical transformation, we transform the performance index to positive- definite one and then solve the optimal control problem. We also apply our method to obtain solution to two-point boundary-value problem by the generating function. As an application of the generating functions approach, we consider the problem of multiple flyby mission with impulsive thrust.

Original language	English
Title of host publication	Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences
Subtitle of host publication	Proceedings of the AAS/AIAA Space Flight Mechanics Meeting
Pages	587-603
Number of pages	17
Publication status	Published - Dec 1 2010
Externally published	Yes
Event	AAS/AIAA Space Flight Mechanics Meeting - San Diego, CA, United States Duration: Feb 14 2010 → Feb 17 2010

Publication series

Name	Advances in the Astronautical Sciences
Volume	136
ISSN (Print)	0065-3438

Other

Other	AAS/AIAA Space Flight Mechanics Meeting
Country/Territory	United States
City	San Diego, CA
Period	2/14/10 → 2/17/10

All Science Journal Classification (ASJC) codes

Aerospace Engineering
Space and Planetary Science

Cite this

Solution to lambert's problem using generalized canonical transformations. / Bando, Mai; Yamakawa, Hiroshi.
Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. 2010. p. 587-603 (Advances in the Astronautical Sciences; Vol. 136).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Bando, M & Yamakawa, H 2010, Solution to lambert's problem using generalized canonical transformations. in Spaceflight Mechanics 2010 - Advances in the Astronautical Sciences: Proceedings of the AAS/AIAA Space Flight Mechanics Meeting. Advances in the Astronautical Sciences, vol. 136, pp. 587-603, AAS/AIAA Space Flight Mechanics Meeting, San Diego, CA, United States, 2/14/10.

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Solution to lambert's problem using generalized canonical transformations

Abstract

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Other

All Science Journal Classification (ASJC) codes

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