Fast error-safe MOID computation involving hyperbolic orbits
Instrumentation and Methods for Astrophysics
2021-10-18 v1 Earth and Planetary Astrophysics
Numerical Analysis
Dynamical Systems
Numerical Analysis
Abstract
We extend our previous algorithm computing the minimum orbital intersection distance (MOID) to include hyperbolic orbits, and mixed combinations ellipse--hyperbola. The MOID is computed by finding all stationary points of the distance function, equivalent to finding all the roots of an algebraic polynomial equation of 16th degree. The updated algorithm carries about numerical errors as well, and benchmarks confirmed its numeric reliability together with high computing performance.
Keywords
Cite
@article{arxiv.2011.12148,
title = {Fast error-safe MOID computation involving hyperbolic orbits},
author = {Roman. V. Baluev},
journal= {arXiv preprint arXiv:2011.12148},
year = {2021}
}
Comments
15 pages, 5 figures, 2 tables; accepted by Astronomy & Computing