TY - GEN

T1 - Six-degree-of-freedom trajectory optimization utilizing a two-timescale collocation architecture

AU - Desai, Prasun N.

AU - Conway, Bruce A.

PY - 2006/10/9

Y1 - 2006/10/9

N2 - Six-degree-of-freedom (6DOF) trajectory optimization of a reentry vehicle is solved using a two-timescale collocation methodology. This class of 6DOF trajectory problems are characterized by two distinct timescales in their governing equations, where a subset of the states have high-frequency dynamics (the rotational equations of motion) while the remaining states (the translational equations of motion) vary comparatively slowly. With conventional collocation methods, the 6DOF problem size becomes extraordinarily large and difficult to solve. Utilizing the two-timescale collocation architecture, the problem size is reduced significantly. The converged solution shows a realistic landing profile and captures the appropriate high-frequency rotational dynamics. A large reduction in the overall problem size (by 55%) is attained with the two-timescale architecture as compared to the conventional single-timescale collocation method. Consequently, optimum 6DOF trajectory problems can now be solved efficiently using collocation, which was not previously possible for a system with two distinct timescales in the governing states.

AB - Six-degree-of-freedom (6DOF) trajectory optimization of a reentry vehicle is solved using a two-timescale collocation methodology. This class of 6DOF trajectory problems are characterized by two distinct timescales in their governing equations, where a subset of the states have high-frequency dynamics (the rotational equations of motion) while the remaining states (the translational equations of motion) vary comparatively slowly. With conventional collocation methods, the 6DOF problem size becomes extraordinarily large and difficult to solve. Utilizing the two-timescale collocation architecture, the problem size is reduced significantly. The converged solution shows a realistic landing profile and captures the appropriate high-frequency rotational dynamics. A large reduction in the overall problem size (by 55%) is attained with the two-timescale architecture as compared to the conventional single-timescale collocation method. Consequently, optimum 6DOF trajectory problems can now be solved efficiently using collocation, which was not previously possible for a system with two distinct timescales in the governing states.

UR - http://www.scopus.com/inward/record.url?scp=33749337579&partnerID=8YFLogxK

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M3 - Conference contribution

AN - SCOPUS:33749337579

SN - 087703527X

SN - 9780877035275

T3 - Advances in the Astronautical Sciences

SP - 1949

EP - 1964

BT - Astrodynamics 2005 - Advances in the Astronautical Sciences - Proceedings of the AAS/AIAA Astrodynamics Conference

T2 - Astrodynamics 2005 - Advances in the Astronautical Sciences - Proceedings of the AAS/AIAA Astrodynamics Conference

Y2 - 7 August 2005 through 11 August 2005

ER -