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Fast Geometric Method for Calculating Accurate Minimum Orbit Intersection Distances
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Astrophysics.
2013 (English)In: Acta Astronomica, ISSN 0001-5237, Vol. 63, no 2, 293-307 p.Article in journal (Refereed) Published
Abstract [en]

We present a new method to compute Minimum Orbit Intersection Distances (MOIDs) for arbitrary pairs of heliocentric orbits and compare it with Giovanni Gronchi's algebraic method. Our procedure is numerical and iterative, and the MOID configuration is found by geometric scanning and tuning. A basic element is the meridional plane, used for initial scanning, which contains one of the objects and is perpendicular to the orbital plane of the other. Our method also relies on an efficient tuning technique in order to zoom in on the MOID configuration, starting from the first approximation found by scanning. We work with high accuracy and take special care to avoid the risk of missing the MOID, which is inherent to our type of approach. We demonstrate that our method is both fast, reliable and flexible. It is freely available and its source Fortran code downloadable via our web page.

Place, publisher, year, edition, pages
2013. Vol. 63, no 2, 293-307 p.
Keyword [en]
Celestial mechanics, Minor planets, asteroids: general, Comets: general
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-207654ISI: 000323396300010OAI: oai:DiVA.org:uu-207654DiVA: diva2:649009
Available from: 2013-09-17 Created: 2013-09-17 Last updated: 2013-09-17Bibliographically approved

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