Separation of close binary stellar systems via the method of moments

Computer Science

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Scientific paper

The problem of separation of binary stellar systems consists in reconstruction of flux and coordinates of each component from their image. To solve this problem the special algorithm is constructed, which is based on connection of stellar system geometry with the image intensity moments up to the third order inclusively. It is important to note that the form of the point spread function (PSF) is considered to be arbitrary. The only restriction to the PSF is its central symmetry. During processing it is convenient to find the canonical coordinate system, i.e., the coordinate system, connected with the intensity distribution. The distinction between the moments of the second order in the canonical coordinate system determines extraction of the stellar system in the image and the x-moment of the third order determines the asymmetry of the system. To find the characteristics of the stellar system, the set of simultaneous equations was derived. It expresses the moments of the intensity distribution through the geometry of the stellar system and the PSF. This set of equations is uniquely resolvable with respect to the parameters of interest, i.e. the flux and the coordinates of each component. It is worth noting that the final results does not depend on the PSF, provided it is centrally symmetric.

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