INITIAL AND FEEDBACK SOLUTIONS FOR ORBITAL PURSUIT EVASION USING A HOMOTOPY METHOD Conference Paper uri icon

abstract

  • A homotopy technique for solving the orbital pursuit evasion problem is shown. The method is based on an analytical solution to the problem in a zero-gravity environment. A homotopy method is then used to obtain the desired solution in full gravity. Additional homotopy strategies can also be used. In particular, we show a feedback implementation obtained by performing homotopies in the system states over short time steps. When successful, the method is many times faster than alternative methods that rely on expensive optimization techniques. The limitation of the method is that the solution traversal mechanism cannot cross over barrier surfaces, where the solution is discontinuous. Techniques accounting for this limitation are the subject of future.

published proceedings

  • GUIDANCE, NAVIGATION, AND CONTROL 2014

author list (cited authors)

  • Hafer, W. T., Reed, H. L., Turner, J. D., & Pham, K.

complete list of authors

  • Hafer, William T||Reed, Helen L||Turner, James D||Pham, Khanh

publication date

  • January 2014