Galactic Nonlinear Dynamic Model
C. A. M. de Melo, S. T. Resende
TL;DR
This paper introduces a nonlinear dynamical model for spiral galaxies that aligns qualitatively with observed rotation curves, based on fundamental conservation laws.
Contribution
It presents a novel nonlinear realization of Newtonian dynamics tailored for spiral galaxy modeling, emphasizing phase space conservation.
Findings
Radial solutions produce rotation curves matching observations
Model demonstrates qualitative agreement with empirical galaxy data
Provides a new framework for galaxy dynamics modeling
Abstract
We develop a model for spiral galaxies based on a nonlinear realization of the Newtonian dynamics starting from the momentum and mass conservations in the phase space. The radial solution exhibits a rotation curve in qualitative accordance with the observational data.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Nonlinear Waves and Solitons · Numerical methods for differential equations