Analytic functions tracing the Galactocentric distance of both main tails of the Sgr stellar stream, the leading one (left plot) and the trailing one (right plot). Every curve is a Gaussian function, whose maximum represents the value of its corresponding apocentric distance. The location of the maximum is the longitude, Λ_⊙, of the corresponding apocenter, used to compute the heliocentric angular aperture. There is one curve for each DM model considered in the work.