L Iorio JCAP05(2006)002 doi:10.1088/1475-7516/2006/05/002
Solar system planetary orbital motions and dark matter
L Iorio
Show affiliationsIn this paper we explicitly work out the effects that a spherically symmetric distribution of dark matter with constant density would induce on the Keplerian orbital elements of the Solar System planets and compare them with the latest results in planetary orbit determination from the EPM2004 ephemerides. It turns out that the longitudes of perihelia 
and the mean longitudes λ are affected by secular precessions. The resulting upper bounds on dark matter density, obtained from the EPM2004 formal errors in the determined mean longitude shifts over 90 years, lie in the range 10−19–10−20 g cm−3 with a peak of 10−22 g cm−3 for Mars. Suitable combinations of the planetary mean longitudes and perihelia, which cancel out the aliasing impact of some of the unmodelled or mismodelled forces of the dynamical models of EPM2004, yield a global upper bound of 7 × 10−20 and 4 × 10−19 g cm−3, respectively.
- An erratum page was added to the end of the published paper on 12 May 2006.
- Keywords
- PACS
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95.35.+d Dark matter (stellar, interstellar, galactic, and cosmological)
- Subjects
- Dates
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Issue 05 (May 2006)
Received 16 February 2006, accepted for publication 18 April 2006
Published 5 May 2006
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Solar system planetary orbital motions and dark matter
L Iorio JCAP05(2006)002
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