2010 Fiscal Year Final Research Report
Efficient algorithm for nonlinear trajectory optimization of spacecraft using generating functions
Project/Area Number |
21760650
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Aerospace engineering
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Research Institution | Kyoto University |
Principal Investigator |
BANDO Mai Kyoto University, 宇宙総合学研究ユニット, 特定助教 (40512041)
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Project Period (FY) |
2009 – 2010
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Keywords | 軌道力学 / 軌道制御 / 惑星探査 |
Research Abstract |
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 nonlinear trajectory optimization of spacecraft. 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.
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