Placing direct limits on the mass of earth-bound dark matter

Abstract

We point out that by comparing the total mass (in gravitational units) of the earth-moon system, as determined by lunar laser ranging, with the sum of the lunar mass as independently determined by its gravitational action on satellites or asteroids, and the earth mass, as determined by the LAGEOS geodetic survey satellite, one can get a direct measure of the mass of earth-bound dark matter lying between the radius of the moon's orbit and the geodetic satellite orbit. Current data show that the mass of such earth-bound dark matter must be less than $4\times 10^{-9}$ of the earth's mass.

Latex, 5 pages; v2 has Added Note, v4 has added references and footnotes

References in corpus (4)

• Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
• Bound on the Dark Matter Density in the Solar System from Planetary Motions
• Solar System planetary orbital motions and dark matter
• Density of dark matter in Solar system and perihelion precession of planets

Cited by in corpus (4)

• Can the flyby anomaly be attributed to earth-bound dark matter?
• On the anomalous secular increase of the eccentricity of the orbit of the Moon
• Probing the Local Dark Matter Halo with Neutrino Oscillations
• Detecting gravitational signatures of dark matter with atom gradiometers