Kepler's Equation for Parabolic and Nearparabolic Orbits

09062022, 05:53 PM
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Kepler's Equation for Parabolic and Nearparabolic Orbits
This HP Prime program solves Keplerâ€™s equation for heliocentric parabolic and nearparabolic 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 Barkerâ€™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. 

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