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The Earth's density distribution can be approximately considered piecewisecontinuous at the scale of two-flavor oscillations of neutrinos with energiesabout 1 MeV. This quite general assumption appears to be enough to analyticallycalculate the day-night asymmetry factor. Using the explicit time averagingprocedure, we show that, within the leading-order approximation, this factor isdetermined by the electron density immediately before the detector, i.e. in theEarth's crust. Within the approximation chosen, the resulting asymmetry factordoes not depend either on the properties of the inner Earth's layers or on thesubstance and the dimensions of the detector. For beryllium neutrinos, wearrive at the asymmetry factor estimation of about $-4 \times 10^{-4}$, whichis at least one order of magnitude beyond the present experimental resolution,including that of the Borexino experiment.

Does the Borexino experiment have enough resolution to detect the neutrino flavor day-night asymmetry?