Journal Article

Dark matter chaos in the Solar system

J. Lages and D. L. Shepelyansky

in Monthly Notices of the Royal Astronomical Society: Letters

Published on behalf of The Royal Astronomical Society

Volume 430, issue 1, pages L25-L29
Published in print March 2013 |
Published online January 2013 | e-ISSN: 1745-3933 | DOI: http://dx.doi.org/10.1093/mnrasl/sls045

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We study the capture of Galactic dark matter particles in the Solar system produced by rotation of Jupiter. It is shown that the capture cross-section is much larger than the area of the Jupiter orbit being inversely diverging at small particle energy. We show that the dynamics of captured particles is chaotic and is well described by a simple symplectic dark map. This dark map description allows us to simulate the scattering and dynamics of 1014 dark matter particles during the lifetime of the Solar system and to determine the dark matter density profile as a function of distance from the Sun. The mass of captured dark matter in the radius of the Neptune orbit is estimated to be 2 × 1015g. The radial density of captured dark matter is found to be approximately constant behind the Jupiter orbit being similar to the density profile found in galaxies.

Keywords: chaos; dark matter

Journal Article.  3672 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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