Recent innovations in stellar and galactic dynamics have opened transformative new approaches to probing dark matter through its gravitational influence. Direct acceleration measurements now allow us to constrain the Galactic gravitational field without assuming equilibrium, a paradigm shift from traditional kinematic methods. Stellar streams from disrupted globular clusters and dwarf galaxies serve as sensitive detectors of both the large-scale gravitational potential and small-scale dark matter substructure. With unprecedented datasets arriving from Gaia DR4, Rubin LSST, Roman, NANOGrav, and next-generation spectrographs, we are poised to translate these dynamical innovations into robust constraints on dark matter's particle nature.

Realizing this promise requires bridging communities that have traditionally operated in isolation. The relevant physics spans enormous ranges in scale, from particle interactions to binary star orbits to globular cluster evolution to galactic tides, and the expertise needed to connect these scales is distributed across distinct research communities with different languages, assumptions, and numerical tools. This program intends to unite these communities to establish shared vocabulary, benchmarks, and collaborative strategies. Our goal is to ensure that astrophysicists receive specific observational signatures predicted by different dark matter models, while providing particle theorists with a clear understanding of the capabilities and limitations of current dynamical observation, and collaborate on a unified picture of dark matter class constraints.