Abstract

The distance functions on the set of Keplerian orbits play an important role in solving the problems of searching for theparent bodies of meteoroid streams. A special kind of function is the distances in the quotient spaces of orbits. Three metricsof this type were developed earlier. These metrics allow disregarding the longitude of the ascending node or the argumentof pericenter, or both. Recently, we introduced one more quotient space, where two orbits are considered to be identical ifthey differ only in their longitudes of nodes and arguments of pericenters, but have the same sum of these elements (thelongitude of pericenter).

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