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We prove the existence of non-constant time periodic vortex solutions to theGross-Pitaevskii equations for small but \textit{fixed} $\varepsilon > 0.$ Thevortices of these solutions follow periodic orbits to the point vortex systemof ordinary differential equations \textit{for all time}. The construction usestwo approaches-- constrained minimization techniques adapted from \cite{GS} andtopological minimax techniques adapted from \cite{LinMinMax}, applied to aformulation of the problem within a rotational ansatz.

Periodic Orbits of Gross Pitaevskii in the Disc with Vortices Following Point Vortex Flow