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SPITE (Simulation for Prioritization of Imaging of Theoretical Exoplanets) uses a monte carlo approach to determine which stars are more likely than others to contain additional, imageable exoplanets. The simulation takes in a selected group of known exoplanets to rank for future imaging in terms of the stability of orbits within their imageable regions. The number of test cases to be simulated can then set based on the amount of computational time and power available. The bounds of the imageable regions are calculated and then representative test cases are generated. The program then simulates the test cases for a billion years, returning the number and percentage of those test cases which were stable over the full time of simulation. The user can then rank the systems based on these percentages.