Abstract
Hill (1978) and Severny, Kotov and Tsap (1976) and others have reported oscillations in the apparent radius of the sun of amplitude δR⊙ which have been interpreted as arising from mechanical vibrations of various normal modes. A future space mission is being discussed whereby a probe will pass within 4 R⊙ of the sun. This probe would have sufficient sensitivity to measure an oscillating (dimensionless) quadrupole moment J2′ at the 10−7 level. In this paper we consider the relationship between various multipoles and δR⊙/R⊙. We calculate the multipole moments for the Cowling polytropic model and an approximate solar model. We find J2′/(δ R⊙/R⊙) to be ∼ 10−3 for both models.
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Johnson, W.W., Winget, D.E., Douglass, D.H., Van Horn, H.M. (1980). Time-varying gravitational multipole moments corresponding to nonradial solar oscillations. In: Hill, H.A., Dziembowski, W.A. (eds) Nonradial and Nonlinear Stellar Pulsation. Lecture Notes in Physics, vol 125. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09994-8_33
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DOI: https://doi.org/10.1007/3-540-09994-8_33
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