Gravitational quantization of exoplanet orbits in HD 40307, μ Ara, Kepler-26, Kepler-62, and Kepler-275: Comparing predicted orbits

2015/01/17 by V. S. Geroyannis, Geroyannis, Vassilis S.
Engineering · Physics and Astronomy · #Astrophysics and Star Formation Studies #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Spacecraft Dynamics and Control #Stellar, planetary, and galactic studies

paper · pdf · doi:10.48550/arxiv.1501.04189

openalex publication_date 2015/01/17 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

According to the so-called "global polytropic model", hydrostatic equilibrium for a planetary system leads to the Lane-Emden differential equation. Solving this equation in the complex plane, we obtain polytropic spherical shells defined by succesive roots of the real part Re(θ) of the Lane-Emden function θ. Such shells provide hosting orbits for the members of a planetary system. Within the framework of the global polytropic model, we study the exoplanet systems HD 40307, μ Ara, Kepler-26, Kepler-62, and Kepler-275. We give emphasis on comparing our results with observations, and with orbit predictions derived from the "generalized Titius-Bode relation".

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