Prospects for a local detection of dark matter with future missions to Uranus and Neptune

We investigate the possibility of detecting gravitational influence dark matter (DM) on trajectory prospective Doppler ranging missions to Uranus and Neptune. In addition, we estimate constraints such a mission can provide modified massive gravity theories via extra-precession measurements using orbiters around ice giants. employ Monte Carlo-Markov Chain methods reconstruct fictitious spacecraft trajectories in simplified solar system model with varying amounts DM. characterise noise link by Allan deviation $\sigma_{\rm A}$, scaled Cassini-era value $\sigma^{\rm{Cass}}_{\rm A}= 3 \times 10^{-15}$. Additionally, compare precision Neptune expected rates from simulations, context modifications inverse square law. that will be sensitive DM densities order $\rho_{\rm{DM}} \sim 9 10^{-20} \, (\sigma_{\rm A}/\sigma_{\rm A}^{\rm{Cass}}) $ kg/m$^3$, while $1\sigma$ bound galactic density 5 10^{-22}$ kg/m$^3$ decreases as $1.0 A}/\sigma^{\rm{Cass}}_{\rm A})^{0.8}$ kg/m$^3$. An improvement two three orders magnitude baseline would guarantee local detection Only moderate reduction is required rule out Milgrom's interpolating function based observations, improve graviton mass beyond current local- or wave-based measurements. Our analysis also highlights potential future standard parameters system.