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Aspects ([asp{\epsilon}], "ASsociation PositionnellE/ProbabilistE deCaTalogues de Sources" in French) is a Fortran 95 code for thecross-identification of astrophysical sources. Its source files are freelyavailable.  Given the coordinates and positional uncertainties of all the sources in twocatalogs K and K', Aspects computes the probability that an object in K and onein K' are the same or that they have no counterpart. Three exclusiveassumptions are considered: (1) Several-to-one associations: a K-source has atmost one counterpart in K', but a K'-source may have several counterparts in K;(2) One-to-several associations: the same with K and K' swapped; (3) One-to-oneassociations: a K-source has at most one counterpart in K' and vice versa.  To compute the probabilities of association, Aspects needs the a priori (i.e.ignoring positions) probability that an object has a counterpart. The codeobtains estimates of this quantity by maximizing the likelihood to observe allthe sources at their effective positions under each assumption. The likelihoodmay also be used to determine the most appropriate model, given the data, or toestimate the typical positional uncertainty if unknown.

The Aspects code for probabilistic cross-identification of astrophysical sources: documentation and complements