Exomoonlight Sonata: On the Fate of Exomoons Around Migrating White Dwarf Planets

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   The rapid inward migration of low-mass planets remains a primary theoretical challenge in planet formation. While recent studies show that the solid component of protoplanetary disks can exert strong positive torques to counteract the negative gas torques, traditional static fixed-orbit models fail to capture the fully coupled dynamics of a migrating planet. In this work, we present 2D high-resolution, two-fluid hydrodynamical simulations using a comoving reference frame to track the self-consistent orbital evolution of embedded planets across a comprehensive six-dimensional parameter space. By allowing the planet to dynamically respond to disk-exerted torques, we identify a wide diversity o…

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