Astron. Astrophys. 322, L5-L8 (1997)

Letter to the Editor

Equation of state and helioseismic inversions

Sarbani Basu and J. Christensen-Dalsgaard

Teoretisk Astrofysik Center, Danmarks Grundforskningsfond, and Institut for Fysik og Astronomi, Aarhus Universitet, DK-8000 Aarhus C, Denmark

Received 20 February 1997 / Accepted 8 April 1997

Abstract

Inversions to determine the squared isothermal sound speed and density within the Sun often use the helium abundance Y as the second parameter. This requires the explicit use of the equation of state (EOS), thus potentially leading to systematic errors in the results if the equations of state of the reference model and the Sun are not the same. We demonstrate how this potential error can be suppressed. We also show that it is possible to invert for the intrinsic difference in the adiabatic exponent between two equations of state. When applied to solar data such inversion rules out the EFF equation of state completely, while with existing data it is difficult to distinguish between other equations of state.

Key words: Sun: oscillations - Sun: interior - Equation of state

Send offprint requests to: S. Basu

Contents

• 1. Introduction
• 2. Formulation of the inverse problem
• 3. Inversion technique
• 4. Results
• 5. Conclusions
• Acknowledgements
• References

© European Southern Observatory (ESO) 1997

Online publication: June 5, 1998

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