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Semi-analytic treatments of the evolution of orbits of weakly interactingmassive particles (WIMPs) in the solar system suggest that the WIMPs bound tothe solar system may enhance the direct detection rate relative to that of theunbound population by up to a factor of order unity, and boost the flux ofneutrinos 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 numericalorbit integrations to explore the properties of the bound WIMP population as afunction of the WIMP mass and the scattering cross section with baryonicmatter. For regions of WIMP parameter space presently allowed by experiments,we find that (i) the bound WIMP population enhances the direct detection rateby at most ~1% relative to the rate from unbound halo WIMPs; (ii) it isunlikely that planned km^3-scale neutrino telescopes will detect neutrinos fromWIMP annihilation in the Earth; (iii) the event rate from neutrinos produced byWIMP annihilation in the Sun may be much smaller than implied by the usualcalculations, which assume that WIMPs scattered onto bound orbits are rapidlythermalized in the Sun.

Dynamics of WIMPs in the solar system and implications for direct and indirect detection