We investigate the improvement in sensitivity to astrophysical sources
(point-like or extended) of energetic (greater than or similar to 1 G
eV) neutrinos which can be achieved with angular and/or energy resolut
ion of the neutrino-induced muon. As a specific example we consider WI
MP annihilation in the Sun and in the Earth as a neutrino source. The
sensitivity is improved by using the angular and energy distribution t
o reduce the atmospheric-neutrino background. Although the specific im
provements depend on the backgrounds and assumed sources, the sensitiv
ity to a WIMP signal may be improved, with equal exposure, by up to ro
ughly a factor of two with good angular resolution, and by up to rough
ly a factor of three with good energy resolution. In case of a positiv
e detection, energy resolution would also improve the measurement of t
he neutrino energy spectrum and therefore provide information on the W
IMP mass and composition. (C) 1997 Elsevier Science B.V.