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Main Author:	Rozner, Mor
Format:	Preprint
Published:	2024
Subjects:	Earth and Planetary Astrophysics Astrophysics of Galaxies
Online Access:	https://arxiv.org/abs/2412.16278
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author	Rozner, Mor
author_facet	Rozner, Mor
contents	The efficiency of planet formation is a fundamental question in planetary science, gaining increasing significance as observational data from planet-forming disks accumulates. Here we derive from first principles a correlation between the planet formation rate (PFR) and the gas surface density, i.e. $\rm{PFR}\propto Σ_g^n$. This relation serves as an analog for the well-established Kennicutt-Schmidt law for star-forming galaxies. We study the different planet formation mechanisms and the density dependence in each one of them, to finally formulate a simple relation. We find that the powerlaw ranges between $n\approx 4/3-2$, depending on the type of the forming planet, when we carry out different analyses for the formation rates of terrestrial planets, gas giants, and also planets formed by gravitational instability. We then compare our results with the available observational data. The relation we derive here aims to shed more light on the interpretation of observational data as well as analytical models, and give a new perspective on the properties of planet formation and its connection to gas.
format	Preprint
id	arxiv_https___arxiv_org_abs_2412_16278
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Correlation between planet formation rate and gas surface density: an analog of Kennicutt Schmidt law for planet formation Rozner, Mor Earth and Planetary Astrophysics Astrophysics of Galaxies The efficiency of planet formation is a fundamental question in planetary science, gaining increasing significance as observational data from planet-forming disks accumulates. Here we derive from first principles a correlation between the planet formation rate (PFR) and the gas surface density, i.e. $\rm{PFR}\propto Σ_g^n$. This relation serves as an analog for the well-established Kennicutt-Schmidt law for star-forming galaxies. We study the different planet formation mechanisms and the density dependence in each one of them, to finally formulate a simple relation. We find that the powerlaw ranges between $n\approx 4/3-2$, depending on the type of the forming planet, when we carry out different analyses for the formation rates of terrestrial planets, gas giants, and also planets formed by gravitational instability. We then compare our results with the available observational data. The relation we derive here aims to shed more light on the interpretation of observational data as well as analytical models, and give a new perspective on the properties of planet formation and its connection to gas.
title	Correlation between planet formation rate and gas surface density: an analog of Kennicutt Schmidt law for planet formation
topic	Earth and Planetary Astrophysics Astrophysics of Galaxies
url	https://arxiv.org/abs/2412.16278

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