TY - GEN
T1 - Trajectory generation using a Modified Simple Shooting Method
AU - Trent, Ashley
AU - Venkataraman, Ram
AU - Doman, David
PY - 2004
Y1 - 2004
N2 - In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.
AB - In this paper, we combine the theoretical result of Pontryagin's Minimum Principle and a new numerical method to obtain a fast algorithm for the trajectory design problem for a reusable launch vehicle. We work with the outer-loop equations for an aircraft and consider the angle-of-attack to be the input. We cast the trajectory design problem as an optimal control problem and use Pontryagin's Minimum Principle to obtain first order necessary conditions. These are in the form of a two-point boundary-value problem (TPBVP) and we solve them by means of the Modified Simple Shooting Method (MSSM). In recent work, the MSSM has been shown to be superior, both in speed and accuracy, for TPBVPs.
UR - http://www.scopus.com/inward/record.url?scp=11244306000&partnerID=8YFLogxK
U2 - 10.1109/AERO.2004.1368069
DO - 10.1109/AERO.2004.1368069
M3 - Conference contribution
AN - SCOPUS:11244306000
SN - 0780381556
T3 - IEEE Aerospace Conference Proceedings
SP - 2723
EP - 2729
BT - 2004 IEEE Aerospace Conference Proceedings
T2 - 2004 IEEE Aerospace Conference Proceedings
Y2 - 6 March 2004 through 13 March 2004
ER -