Approximate analytical description of the high latitude extinction

Abstract

The distribution of visual interstellar extinction AV has been mapped in selected areas over the Northern sky, using available LAMOST DR5 and Gaia DR2/EDR3 data. AV was modelled as a barometric function of galactic latitude and distance. The function parameters were then approximated by spherical harmonics. The resulting analytical tridimensional model of the interstellar extinction can be used to predict AV values for stars with known parallaxes, as well as the total Galactic extinction in a given location in the sky.

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