  Semi-analytic treatments of the evolution of orbits of weakly interacting
massive particles (WIMPs) in the solar system suggest that the WIMPs bound to
the solar system may enhance the direct detection rate relative to that of the
unbound population by up to a factor of order unity, and boost the flux of
neutrinos from WIMP annihilation in the Earth by up to two orders of magnitude.
To test these important but uncertain results, we perform a suite of numerical
orbit integrations to explore the properties of the bound WIMP population as a
function of the WIMP mass and the scattering cross section with baryonic
matter. For regions of WIMP parameter space presently allowed by experiments,
we find that (i) the bound WIMP population enhances the direct detection rate
by at most ~1% relative to the rate from unbound halo WIMPs; (ii) it is
unlikely that planned km^3-scale neutrino telescopes will detect neutrinos from
WIMP annihilation in the Earth; (iii) the event rate from neutrinos produced by
WIMP annihilation in the Sun may be much smaller than implied by the usual
calculations, which assume that WIMPs scattered onto bound orbits are rapidly
thermalized in the Sun.
