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PreprintCC BY 4.0arXiv

A New Analysis Tool for Radial Pulsations

  • Hiroyasu Ando
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Abstract

Wave-energy relation is introduced as a new analysis tool for linear radial pulsations. Wave energy consists of kinetic energy, acoustic-potential energy, dynamical-potential energy, and entropy-potential energy. The relation describes changes in the wave energy caused by non-adiabatic processes and by leakage of wave energy. It is applied to modal analysis of adiabatic pulsations for the massive Zero Age Main Sequence models (10, 20, and 30 solar masses). The ordinary modes are well trapped in the interior cavity without any significant wave-energy leakage. On the other hand, the strange modes (S-modes) exhibit the steep increases in the eigenfunctions and kinetic energy toward the stellar surface and the significant wave-energy leakage. The kinetic energy of S-modes is no longer confined in the exterior cavity.

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Cite

BibTeXRIS
BibTeX
@misc{ando2026analysis,
  title = {{A New Analysis Tool for Radial Pulsations}},
  author = {Hiroyasu Ando},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02733},
  eprint = {2610.02733},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02733},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A New Analysis Tool for Radial Pulsations
AU  - Hiroyasu Ando
PY  - 2026
DA  - 2026/10/02
PB  - arXiv
DO  - 10.48550/arxiv.2610.02733
UR  - https://arxiv.org/abs/2610.02733
AB  - Wave-energy relation is introduced as a new analysis tool for linear radial pulsations. Wave energy consists of kinetic energy, acoustic-potential energy, dynamical-potential energy, and entropy-potential energy. The relation describes changes in the wave energy caused by non-adiabatic processes and by leakage of wave energy. It is applied to modal analysis of adiabatic pulsations for the massive Zero Age Main Sequence models (10, 20, and 30 solar masses). The ordinary modes are well trapped in the interior cavity without any significant wave-energy leakage. On the other hand, the strange modes (S-modes) exhibit the steep increases in the eigenfunctions and kinetic energy toward the stellar surface and the significant wave-energy leakage. The kinetic energy of S-modes is no longer confined in the exterior cavity.
ER  -