Astronomicheskii Zhurnal, 2013, Vol. 39, No. 3, pp

Astronomicheskii Zhurnal, 2013, Vol. 39, No. 3, pp. 163-172.
Constraints on Dark Matter in the Solar System
N. P. Pitjev1; and E. V. Pitjeva2;;
1St. Petersburg State University, Universitetski pr. 28, St. Petersburg, 198504 Russia
2Institute of Applied Astronomy of Russian Academy of Sciences, nab. Kutuzova 10,
St. Petersburg, 191187 Russia
Received July 12, 2012
Abstract – We have searched for and estimated the possible gravitational in;uence of
dark matter in the Solar system based on the EPM2011 planetary ephemerides using about
677 thousand positional observations of planets and spacecraft. Most of the observations
belong to present-day ranging measurements. Our estimates of the dark matter density and
mass at various distances from the Sun are generally overridden by their errors (;). This
suggests that the density of dark matter ;dm, if present, is very low and is much less than the
currently achieved error of these parameters. We have found that ;dm is less than 1.1· 10;20
g cm;3 at the orbital distance of Saturn, ;dm < 1.4 · 10;20 g cm;3 at the orbital distance
of Mars, and ;dm < 1.4 · 10;19 g cm;3 at the orbital distance of the Earth. We also have
considered the case of a possible concentration of dark matter to the Solar system center.
The dark matter mass in the sphere within Saturn’s orbit should be less than 1.7· 10;10M;
even if its possible concentration is taken into account.
DOI: 10.1134/S1063773713020060
Keywords: dark matter, Solar system, ephemerides.