TY - GEN

T1 - Optimal thrust design of a mission to Apophis based on a homotopy method

AU - Bai, Xiaoli

AU - Turner, James D.

AU - Junkins, John L.

PY - 2009

Y1 - 2009

N2 - A novel homotopy method for solving optimal thrust direction control problems through Pontryagin's principle is presented. The homotopy method enforces the satisfaction of the dynamic equation constraints along the homotopy path, yielding an algorithm that is robust to the high nonlinearity of both dynamic equation constraints and performance criteria. The homotopy approach extends the convergence domain of the initial guess of the unknown boundary conditions when compared to the sequential quadratic programming method. The homotopy algorithm is applied to an Earth to Apophis mission analysis. A hybrid impulsive and low thrust propulsion strategy is studied. Through simulation results, we prove that if we use a 0.05N constant thrust and choose the time of flight from 250 days to 300 days, the launch window for the Earth to Apophis mission can span a full year from April 2012 to April 2013 for a standard launch vehicle.

AB - A novel homotopy method for solving optimal thrust direction control problems through Pontryagin's principle is presented. The homotopy method enforces the satisfaction of the dynamic equation constraints along the homotopy path, yielding an algorithm that is robust to the high nonlinearity of both dynamic equation constraints and performance criteria. The homotopy approach extends the convergence domain of the initial guess of the unknown boundary conditions when compared to the sequential quadratic programming method. The homotopy algorithm is applied to an Earth to Apophis mission analysis. A hybrid impulsive and low thrust propulsion strategy is studied. Through simulation results, we prove that if we use a 0.05N constant thrust and choose the time of flight from 250 days to 300 days, the launch window for the Earth to Apophis mission can span a full year from April 2012 to April 2013 for a standard launch vehicle.

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M3 - Conference contribution

AN - SCOPUS:80053430831

SN - 9780877035541

T3 - Advances in the Astronautical Sciences

SP - 1687

EP - 1699

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 -