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Kepler's Equation for Parabolic and Near-parabolic Orbits - cdeaglejr - 09-06-2022 05:53 PM
This HP Prime program solves Kepler’s equation for heliocentric parabolic and near-parabolic orbits. It is based on the numerical method described in Chapter 4 of "Astronomy on the Personal Computer" by Oliver Montenbruck and Thomas Pfleger. This algorithm uses a modified form of Barker’s equation and Stumpff functions to solve this problem.
The software will ask the user for three inputs using the following interactive prompts;
INPUT(tpp, "time wrt perihelion passage (days)");
INPUT(rp, "perihelion radius (AU)");
INPUT(ecc, "orbital eccentricity");
The perihelion radius should be input in astronomical units and the orbital eccentricity input should be >= 1.