Modeling Radial Oscillations of the Sun

Authors

  • Aleksandr Mokhov Youth Mathematical School, St. Petersburg

Keywords:

Sun, helioseismology, numerical modeling, oscillations, eigenmodes, numerical integration

Abstract

This student research project develops a discrete one-dimensional model of the Sun's radial oscillations: a radial sector of the star is divided into blocks, and the gas pressure between adjacent blocks is represented by nonlinear “gas springs.” The frequencies and shapes of free oscillations are obtained as eigenvalues and eigenvectors of a matrix problem. For the lowest-frequency mode, a period of approximately 4.3 · 10³ s is obtained; the largest displacements in this mode occur in the outer layers of the model. The results of the modal analysis are additionally verified by direct integration of the equations of motion using the Leapfrog method.

Author Biography

Aleksandr Mokhov, Youth Mathematical School, St. Petersburg

Student of the Youth Mathematical School (Lyceum No. 533 of the Krasnogvardeisky District of St. Petersburg)

References

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Published

2026-08-12

How to Cite

[1]
Mokhov, A. 2026. Modeling Radial Oscillations of the Sun. Astronomy Education. 1, 2 (Aug. 2026), 43–49.

Issue

No. 2 (2026)

Section

Student Research Activity

License

Copyright (c) 2026 Aleksandr Mokhov

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