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We obtain a lower bound of the distance function (MOID) between two noncoplanar bounded Keplerian orbits (either circular or elliptic) with a common focus. This lower bound is positive and… Click to show full abstract
We obtain a lower bound of the distance function (MOID) between two noncoplanar bounded Keplerian orbits (either circular or elliptic) with a common focus. This lower bound is positive and vanishes if and only if the orbits intersect. It is expressed explicitly, using only elementary functions of orbital elements, and allows us to significantly increase the speed of processing for large asteroid catalogs. Benchmarks confirm high practical benefits of the lower bound constructed.
Keywords:
bound distance;
bound;
lower bound;
distance two;
two elliptic
Journal Title: Celestial Mechanics and Dynamical Astronomy
Year Published: 2019
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Journal Title: Celestial Mechanics and Dynamical Astronomy
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!