Using Gamma Functions in the Mathematical Formulation of the Impact Crater Size-Age Frequency Distribution on Earth and Mars

TL;DR

This paper reviews a mathematical model using Gamma functions to describe impact crater size and age distributions on Earth and Mars, highlighting its application to planetary crater data.

Contribution

It introduces a Gamma function-based formalism for modeling impact crater distributions, offering a novel approach to planetary surface analysis.

Findings

Gamma function formalism effectively models crater size-age distributions

Application to Earth and Mars data demonstrates model's versatility

Provides insights into planetary surface impact histories

Abstract

A review of a mathematical formulation that describes the number of impact craters as function of diameter and time of formation is presented, where the use of Gamma functions is emphasized. The application of this formalism for the description of the impact crater data of Planets Earth and Mars is also discussed.