Order and neighbourhood in astronomical catalogues.

Details Order and neighbourhood in astronomical catalogues. Order and neighbourhood in astronomical catalogues.

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992bicds..42...47b&link_type=abstract

Bulletin d'Information du Centre de Donnees Stellaires, Strasbourg, No. 42, p. 47 - 50

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If one searches a normally ordered catalogue for objects lying in a specified field, one has to check much more objects than the wanted ones. The "superfluity" ratio is of the order of 180°/d (d = side length of square field) and therefore in the range 100 - 1000 for typical applications. It is proposed to transform the two-dimensional coordinates into one "coordinate" by a consecutive mixing of the digits of the two original coordinates. In case of a binary representation, this leads to a superfluity ratio between 4 and 9.

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