What question did this study set out to answer?

The aim is to develop a model that accurately describes galaxy rotation curves using minimal parameters.

April 10, 2026Open Access

A Semi-Empirical Model for Galaxy Rotation Curves

Key Points

The aim is to develop a model that accurately describes galaxy rotation curves using minimal parameters.
Developed a mathematical model using two parameters: maximum velocity (Vmax) and scale radius (Rs).
Fitted the model to observed galaxy rotation data to assess accuracy.
Analyzed the relationship between Vmax and Rs to uncover scaling.
Calculated error rates to evaluate model performance.
The model fits observed galaxy rotation data with less than 5% error.
A power-law relation was established between Vmax and Rs: Vmax ∝ Rs^0.45.
The findings indicate a fundamental scaling relationship between a galaxy's size and its rotational velocity.

Abstract

This study presents a simple and effective mathematical model to describe galaxy rotation curves. The proposed model uses only two parameters — maximum velocity (Vmax) and scale radius (Rs) — and successfully fits observed galaxy rotation data with low error (<5%). Additionally, a power-law relation between Vmax and Rs is observed: Vmax ∝ Rs⁰. 45 This result suggests a fundamental scaling relationship between galaxy size and rotational velocity.

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Authors

hardik Thakor

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Nantong University

Affiliated Hospital of Nantong University

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A Semi-Empirical Model for Galaxy Rotation Curves

Key Points

Abstract

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Connected Papers

Discussion

Authors

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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