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

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Stephen L Adler

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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 × 10−9 of the earth's mass.


PACS

95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)

91.10.Sp Satellite orbits

96.30.Ys Asteroids (minor planets)

95.30.Sf Relativity and gravitation

96.20.Jz Gravitational field, selenodesy, magnetic fields

MSC

85A40 Cosmology (For relativistic cosmology, see 83F05)

85A05 Galactic and stellar dynamics

Subjects

Environmental and Earth science

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 41 (17 October 2008)

Received 15 August 2008, in final form 3 September 2008

Published 19 September 2008



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