2022/04/14 by Lorenz Zwick, Deniz Soyuer, Jozef Bucko · 1 voice · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Astronomy #Astrophysics #Context (archaeology) #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Geophysics and Gravity Measurements #Neptune #Physics #Planet #Sigma #Solar System #Uranus #astro-ph.CO #astro-ph.EP #astro-ph.IM #gr-qc
paper · pdf · open access · doi:10.1051/0004-6361/202243741
published in Astronomy and Astrophysics 664, A188 (EDP Sciences) · Published by A&A
arxiv created 2022/04/20 · openalex publication_date 2022/04/21 · openalex created_date 2022/04/26 · arxiv updated 2022/08/31 · openalex updated_date 2026/08/05
We investigate the possibility of detecting the gravitational influence of dark matter (DM) on the trajectory of prospective Doppler ranging missions to Uranus and Neptune. In addition, we estimate the constraints such a mission can provide on modified and massive gravity theories via extra-precession measurements using orbiters around the ice giants. We employ Monte Carlo-Markov Chain methods to reconstruct fictitious spacecraft trajectories in a simplified solar system model with varying amounts of DM. We characterise the noise on the Doppler link by the Allan deviation σ\rm A, scaled on the Cassini-era value of σ^\rmCass\rm A= 3 × 10-15. Additionally, we compare the precision of prospective extra-precession measurements of Uranus and Neptune with the expected rates from simulations, in the context of modifications to the inverse square law. We estimate that the prospective mission will be sensitive to DM densities of the order of ρ_\rmDM ∼ 9 × 10-20 (σ\rm A/σ\rm A^\rmCass) kg/m3, while the 1σ bound on the expected galactic density of ρ_\rmDM ∼ 5 × 10-22 kg/m3 decreases as 1.0 × 10-20 (σ\rm A/σ^\rmCass\rm A)0.8 kg/m3. An improvement of two to three orders of magnitude from the baseline Allan deviation would guarantee a local detection of DM. Only a moderate reduction in ranging noise is required to rule out Milgrom's interpolating function with solar system based observations, and improve constraints the graviton mass beyond current local- or gravitational wave-based measurements. Our analysis also highlights the potential of future ranging missions to improve measurements of the standard gravitational parameters in the solar system.