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The extensive span of the Sagittarius (Sgr) stream makes it a promising toolfor studying the Milky Way gravitational potential. Characterizing its stellarkinematics can constrain halo properties and provide a benchmark for the ColdDark Matter galaxy formation paradigm. Accurate models of the disruptiondynamics of the Sgr progenitor are necessary to employ this tool. Using acombination of analytic modeling and N-body simulations, we build a new modelof the Sgr orbit and resulting stellar stream. In contrast to previous models,we simulate the full infall trajectory of the Sgr progenitor from the time itfirst crossed the Milky Way virial radius 8 Gyr ago. An exploration of theparameter space of initial phase-space conditions yields tight constraints onthe angular momentum of the Sgr progenitor. Our best-fit model is the first toreproduce accurately existing data on the 3D positions and radial velocities ofthe debris detected 100 kpc away in the MW halo. In addition to replicating themapped stream, the simulation also predicts the existence of several arms ofthe Sgr stream extending to hundreds of kiloparsecs. The two most distant starsknown in the Milky Way halo coincide with the predicted structure. Additionalstars in the newly predicted arms can be found with future data from the LargeSynoptic Survey Telescope. Detecting a statistical sample of stars in the mostdistant Sgr arms would provide an opportunity to constrain the Milky Waypotential out to unprecedented Galactocentric radii.

Predicted Extension of the Sagittarius Stream to the Milky Way Virial Radius