  Predictions for the out-going muon fluxes from the annihilation of
neutralinos in the center of the Sun and the Earth in supergravity unification
are given. Effects of uncertainties of the input data are analysed. It is shown
that the out-going muon flux measurements from the Sun and the Earth are
complementary, with the Earth providing a larger flux for low values of fine
tuning and the Sun providing a larger flux for high values of fine tuning, and
that only a combination of the two can compete favorably with the direct
detection measurements. The predictions are compared with the recent limits
from BAIKAL NT-96, MACRO, and BAKSAN.
