TY - GEN

T1 - A new optimal orbit control for two-point boundary-value problem using generating functions

AU - Bando, Mai

AU - Yamakawa, Hiroshi

PY - 2009

Y1 - 2009

N2 - The optimal control problem of a spacecraft using impulsive and continuous thrust where the terminal state and time interval are explicitly given is considered. Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve the two-point boundary-value problem. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain. Numerical simulation is given to illustrate the theory.

AB - The optimal control problem of a spacecraft using impulsive and continuous thrust where the terminal state and time interval are explicitly given is considered. Using a recently developed technique based on Hamilton-Jacobi theory, we develop a method to approximate the solution of the Hamilton-Jacobi equation which can solve the two-point boundary-value problem. The proposed method is based on the successive approximation and Galerkin spectral method with Chebyshev polynomials. This approach is expected to derive the analytical solution of the optimal control problem in the large domain. Numerical simulation is given to illustrate the theory.

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M3 - Conference contribution

AN - SCOPUS:78649244356

SN - 9780877035541

T3 - Advances in the Astronautical Sciences

SP - 245

EP - 260

BT - Spaceflight Mechanics 2009 - Advances in the Astronautical Sciences

T2 - 19th AAS/AIAA Space Flight Mechanics Meeting

Y2 - 8 February 2009 through 12 February 2009

ER -