# Trajectory of a Test Mass in a Roche Potential

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This Demonstration describes the trajectory of a test mass in the Roche potential of a binary system with masses (the star on the left) and (the compact object on the right). The frame of reference, corotating with the binary system, is noninertial, and the effective potential takes into account both gravitational and centrifugal forces. One of the equipotentials is a distorted figure-eight shape crossing at the Lagrange point . This defines *Roche lobes* for the two stars, with their shapes determined by the ratio of masses . If the star overflows its Roche lobe, mass flows from the donor star to the accreting compact object through the Lagrange point . The test mass is launched from the green stellar surface as long as its radius is smaller than that of the Roche lobe. The entire Roche potential is mapped in the graphic, with deeper values shown in darker purple.

Contributed by: Ileyk El Mellah (September 2015)

Open content licensed under CC BY-NC-SA

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