Planetary systems based on a quantum-like model

TL;DR

This paper introduces a quantum-like formalism to model planetary systems, explaining discrete orbital parameters based on star mass, and fits well with observed data from the solar system, satellites, exoplanets, and protoplanetary disks.

Contribution

It presents a novel quantum-like model for planetary system formation, linking orbital characteristics to star mass and matching observational data.

Findings

Orbital parameters take discrete values depending on star mass.

Model fits observed data with good chi-square values.

Discretization applies to various planetary systems and disks.

Abstract

Planetary systems have their origin in the gravitational collapse of a cloud of gas and dust. Through a process of accretion, is formed a massive star and a disk of planetesimals orbiting the star. Using a formalism analogous to quantum mechanics (quantum-like model), the star-planetesimal system is described and the flow quantizing the gravitational field theoretical model parameters are obtained. Goodness of fit (chi-square) of the observed data with model quantum-like, to the solar system, satellites, exoplanets and protoplanetary disk around HL Tauri is determined. Shows that the radius, eccentricity, energy, angular momentum and orbital inclination of planetary objects formed take discrete values depending only on the mass star.