We resolve discrepancies in previous analyses of the flow of collisionless dark matter particles in the Sun's gravitational field. We determine the phase-space distribution of the flow both numerically, tracing particle trajectories back in time, and analytically, providing a simple correct relation between the velocity of particles at infinity and at the Earth. We use our results to produce sky maps of the distribution of arrival directions of dark matter particles on Earth at various times of the year. We assume various Maxwellian velocity distributions at infinity describing the standard dark halo and streams of dark matter. We illustrate the formation of a ring, analogous to the Einstein ring, when the Earth is directly downstream of the Sun.
New techniques for the laboratory direct detection of dark matter weakly interacting massive particles (WIMPs) are sensitive to the recoil direction of the struck nuclei. We compute and compare the directional recoil rates dR/dcos θ (where θ is the angle measured from a reference direction in the sky) for several WIMP velocity distributions including the standard dark halo and anisotropic models such as Sikivie's late-infall halo model and logarithmic-ellipsoidal models. Since some detectors may be unable to distinguish the beginning of the recoil track from its end (lack of head-tail discrimination), we introduce a "folded" directional recoil rate dR/d|cos θ|, where |cos θ| does not distinguish the head from the tail of the track.We compute the CS 2 and CF 4 exposures required to distinguish a signal from an isotropic background noise, and find that dR/d|cos θ| is effective for the standard dark halo and some but not all anisotropic models.PACS numbers: 95.35.+d
Photometric analysis for the newly discovered systems V1264 Cas, V0664 Lac and GSC 0199-2035
were carried out using the most recent version of the Wilson-Devinney binary star modeling code
(WD) based on model atmospheres by Kurucz. Accepted models revealed physical parameters use
to adopt the spectral type of the components of the studied systems. Locations of the systems on
the theoretical mass-luminosity and mass-radius relations revealed good fit for all the systems
components except for the secondary components of the systems; V1264 Cas and GSC 0199-2035
where they lie above the TAMS track.
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