Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion

Details Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion

Dec 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aj....120.3333a&link_type=abstract

The Astronomical Journal, Volume 120, Issue 6, pp. 3333-3339.

Astronomy and Astrophysics

Astronomy

17

Celestial Mechanics, Stellar Dynamics, Methods: Numerical

Scientific paper

We confirm that the positional error of a perturbed two-body problem expressed in the Kustaanheimo-Stiefel (K-S) variable is proportional to the fictitious time s, which is the independent variable in the K-S transformation. This property does not depend on the type of perturbation, on the integrator used, or on the initial conditions, including the nominal eccentricity. The error growth of the physical time evolution and the Kepler energy is proportional to s if the perturbed harmonic oscillator part of the equation of motion is integrated by a time-symmetric integration formula, such as the leapfrog or the symmetric multistep method, and is proportional to s2 when using traditional integrators, such as the Runge-Kutta, Adams, Störmer, and extrapolation methods. Also, we discovered that the K-S regularization avoids the step size resonance/instability of the symmetric multistep method that appears in the unregularized cases. Therefore, the K-S regularized equation of motion is useful to investigate the long-term behavior of perturbed two-body problems, namely, those used for studying the dynamics of comets, minor planets, the Moon, and other natural and artificial satellites.

Affiliated with

Also associated with

No associations

Rating

Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital 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 Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long-Term Integration Error of Kustaanheimo-Stiefel Regularized Orbital Motion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1730769