Authors

Abstract

In this paper, Design of flight trajectory in unpowered phase namely “Coast Phase” which is important in energy reduction in transition orbit of spacecrafts and launch vehicles is considered. To this aim, the velocity impulse at both sides of the transition phase (between initial and final orbits) is described as a parametric function of the geometry of the path. Then the optimal coasting trajectory is proposed using simple minimization techniques like Fibonacci Search Method and a Velocity-Required Based Steering technique simultaneously. A numerical study is performed using a three stage launch vehicle with a coast phase between second and third stages to show that the proposed technique is capable to produce optimum transition trajectory and since it is accompanied by guidance technique could be used as an online technique.

Keywords

  1. Vincent T. L. and Grantham W. J., Nonlinear and Optimal Control Systems, John Wiley and Sons, Inc., 1997.
  2. Betts, J. T., “Survey of Numerical Methods for Trajectory Optimization,” Journal of Guidance, Control and Dynamics, Vol. 21, No. 2, 1998, pp. 193-207.
  3. Brinda V. and Dasgupta, S., “Nonlinear Tracking Guidance Algorithm for an Air-Breathing Launch Vehicle,” AIAA Guidance, Navigation, and Control Conference and Exhibit, 2005, pp.1-13.
  4. Ross, M., D’Souza, C., Fahroo, F. and Ross, J. B., “A Fast Approach to Multi-Stage Launch Vehicle Trajectory Optimization,” AIAA Guidance, Navigation and Control Conference and Exhibit, 2003-5639.
  5. Vincent T. L. and Grantham W. J., Nonlinear and Optimal Control Systems, John wiley and Sons, 1997.
  6. Betts, J. T., and Huffman, W. P., “Path Constrained Trajectory Optimization Using Sparse Sequential Quadratic Programming,” Journal of Guidance, Control and Dynamics, Vol. 16, No. 1, pp. 59-68, 1993.
  7. Ping, L. and Sun, H.,“Closed-Loop Endo-Atmospheric Ascent Guidance,” AIAA Guidance, Navigation, and Control Conference and Exhibit, 2002-4558.
  8. Brinda V. and Punnoose, L. S., “On-Line Trajectory Optimization of a Typical Air-Breathing Launch Vehicle using Energy State Approximation Approach”, Proceedings of the International Conference on Advances in Control and Optimization of Dynamical Systems (ACODS2007).