Regularized Integration of Gravity-Perturbed Trajectories-A Numerical Efficiency Study Academic Article uri icon


  • NINE methods for predicting the motion of a particle in a perturbed gravity field, many of which are based upon regularizing transformations and some of which are newly developed, are numerically compared. The class of motions studied in detail is the fractional-orbit case typical of ballistic trajectories. Results from 12 test trajectories in an oblate gravity field indicate that an asymptotic expansion technique based upon an Euler parameter regularization is extremely efficient when compared to standard Cowell and Encke methods. Additionally, algorithms based upon the Kustaanheimo-Stiefel (KS) transformation are found to be numerically attractive. © American Institute of Aeronautics and Astronautics, Inc., 1982, All rights reserved.

author list (cited authors)

  • Kraige, L. G., Junkins, J. L., & Ziems, L. D.

citation count

  • 2

publication date

  • July 1982