Dark matter chaos in the Solar System

TL;DR

This paper investigates how galactic dark matter particles are captured by the Solar System due to Jupiter's rotation, revealing a large capture cross section, chaotic dynamics, and a nearly constant density profile beyond Jupiter.

Contribution

It introduces a symplectic dark map to simulate dark matter dynamics, providing new insights into the density profile and total captured mass in the Solar System.

Findings

Capture cross section exceeds Jupiter's orbit area

Dark matter dynamics are chaotic and well-described by a symplectic map

Estimated captured dark matter mass within Neptune's orbit is 2×10^{15} g

Abstract

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 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 to simulate the scattering and dynamics of $10^{14}$ dark matter particles during the life time of the Solar System and to determine dark matter density profile as a function of distance from the Sun. The mass of captured dark matter in the radius of Neptune orbit is estimated to be $2 \cdot 10^{15} g$. The radial density of captured dark matter is found to be approximately constant behind Jupiter orbit being similar to the density profile found in galaxies.