On radial migration of dense regions and objects and local unstability of accreting systems

TL;DR

This paper models hot accretion disks using a Newtonian infinite body problem with friction, demonstrating local instability and radial migration in proto-planetary systems through qualitative analysis.

Contribution

Introduces a novel approach combining infinite body problem models with friction to analyze stability and migration in accretion disks, providing new insights into proto-planetary dynamics.

Findings

Local regions in accretion disks are unstable leading to radial migration.

Frictional forces influence the stability and movement of dense regions.

The model predicts conditions for instability in hot, proto-planetary-like disks.

Abstract

I have used a newtonian infinite body problem to model a protoplanitary-like hot accretion disk and added terms of laminar and Stokes friction. Then I used qualitative methods to show the unstability of local regions leading to a lemma of radial migration and local unstability in hot, proto-planetary-like accretion disks. Then I considered a general infinite body problem with a position dependent, gravitation-like force and a general perturbating term.