A Computational Rediscovery of Neptune and other Applications in Numerical Astronomy

This thesis serves to report on the computational reproduction of the research paper, “A geometric method to locate Neptune”[1]. The computational program thus produced can be used to obtain the Mass, Sidereal Period, Semi-major axis, and Synodic Period (with respect to any  planet) of Neptune. The paper also reports on the ephemeris data simulation for other exoplanets via pure geometric methods and consequently a complete computational algorithm thus established can be extended to the exoplanetary systems. Provided with the orbital parameters and experimental ephemeris of already discovered exoplanets in a system, the program can help hint at undiscovered exoplanets and ascertain their Mass and Period. The thesis also details on the computational implementation of the Transit Light Curve method of Exoplanet detection.