Numerical Stabilization of the Differential Equations of Keplerian Motion

Details Numerical Stabilization of the Differential Equations of Keplerian Motion Numerical Stabilization of the Differential Equations of Keplerian Motion

Jul 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972cemec...5..490b&link_type=abstract

Celestial Mechanics, Volume 5, Issue 4, pp.490-501

Statistics

Computation

34

Scientific paper

A stabilization of the classical equations of two-body motion is offered. It is characterized by the use of the regularizing independent variable (eccentric anomaly) and by the addition of a control-term to the differential equations. This method is related to the KS-theory (Stiefel, 1970) which performed for the first time a stabilization of the Kepler motion. But in contrast to the KS-theory our method does not transform the coordinates of the particle. As far as the theory of stability and the numerical experiments are concerned we restrict ourselves to thepure Kepler motion. But, of course, the stabilizing devices will also improve the accuracy of the computation of perturbed orbits. We list, therefore, also the equations of the perturbed motion.

Affiliated with

Also associated with

No associations

Rating

Numerical Stabilization of the Differential Equations of Keplerian Motion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Numerical Stabilization of the Differential Equations of Keplerian Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Numerical Stabilization of the Differential Equations of Keplerian Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1646124