Abstract

To find out the general motion model of exo-planetary systems with one star and two planets, a computer program was used to carry out simulations and generate graphs showing the orbits of planets. When given the orbital periods and masses of the planets and stars, it is possible to predict the location of the planets over time and plot the shape of the orbit by considering the gravitational interactions between planets and the star, assuming that the planetary orbits are co-planar. I used the program to reproduce the result of transit timing variations (TTVs) of Kepler-46 system, I then investigated on the magnitude of transit timing variations on a 3-body system with various masses and periods. I also ran simulations to investigate the pattern of orbits for different periods of planets in order to get a systematic conclusion.

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