A statistical model for the relation between exoplanets and their host stars

TL;DR

This paper introduces a statistical model linking exoplanet characteristics to their host star properties, aiming to understand their relationships and validate the model with data up to 2008.

Contribution

It presents a novel statistical framework to relate exoplanet and host star variables, focusing on the influence of star properties on planet mass.

Findings

Model successfully relates star properties to exoplanet mass

Validation confirms the model's statistical significance

Binary models reveal categorical behaviors in the data

Abstract

A general model is proposed to explain the relation between the extrasolar planets (or exoplanets) detected until June 2008 and the main characteristics of their host stars through statistical techniques. The main goal is to establish a mathematical relation among the set of variables which better describe the physical characteristics of the host star and the planet itself. The host star is characterized by its distance, age, effective temperature, mass, metallicity, radius and magnitude. The exoplanet is described through its physical parameters (radius and mass) and its orbital parameters (distance, period, eccentricity, inclination and major semiaxis). As a first approach we consider that only the mass of the exoplanet is being determined by the physical properties of its host star. The proposed model is then validated through statistical analysis. Finally we discuss the categorical behavior of the dependent variable through binary models.