论文信息 - A Collocation Approach for Computing Solar Sail Lunar Pole-Sitter Orbits

A Collocation Approach for Computing Solar Sail Lunar Pole-Sitter Orbits

Implementation of a 12 th -order Gauss-Lobatto collocation scheme is detailed, including mesh refinement iterations to meet a user-specified error tolerance. The algorithm is robust and efficient, locating path constrained orbits when little information is available regarding the behavior of the solutions. Using a Fourier series control law, the method is applied to the computation of highly unstable, pole-sitter orbits in the Earth-moon restricted three-body problem. The results are comparable to those obtained with standard explicit propagators.

[1] K. Howell,et al. Design of Solar Sail Trajectories with Applications to Lunar South Pole Coverage , 2009 .

[2] Kathleen C. Howell,et al. Multibody Orbit Architectures for Lunar South Pole Coverage , 2008 .

[3] R. Russell,et al. Adaptive Mesh Selection Strategies for Solving Boundary Value Problems , 1978 .

[4] John L. West. The Lunar Polesitter , 2008 .

[5] C. D. Boor,et al. Good approximation by splines with variable knots. II , 1974 .

[6] J. Betts,et al. Application of sparse nonlinear programming to trajectory optimization , 1992 .

[7] K. Howell,et al. Design of Optimal Low-Thrust Lunar Pole-Sitter Missions , 2011 .

[8] Colin R. McInnes,et al. Solar Sailing: Technology, Dynamics and Mission Applications , 1999 .

[9] M. Ozimek,et al. Solar Sails and Lunar South Pole Coverage , 2008 .

[10] C. McInnes,et al. Asymptotic analysis of displaced lunar orbits , 2009 .

[11] Carl de Boor,et al. Good approximation by splines with variable knots + , 2011 .

[12] Jules Simo,et al. Displaced periodic orbits with low-thrust propulsion in the Earth-Moon system , 2009 .

[13] Albert Lee Herman. Improved collocation methods with application to direct trajectory optimization , 1995 .