Advertisement

Time-varying gravitational multipole moments corresponding to nonradial solar oscillations

  • W. W. Johnson
  • D. E. Winget
  • D. H. Douglass
  • H. M. Van Horn
3. Solar Oscilations Theoretical Implications of Observations
Part of the Lecture Notes in Physics book series (LNP, volume 125)

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.

Keywords

Gravitational Potential Quadrupole Moment Radial Displacement Multipole Moment Solar Oscillation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bahcall, J.N. 1978, Revs. Mod. Phys., 50, 881.Google Scholar
  2. Bender, D.F. 1978, A Close-Up of the Sun, ed. Neugebauer and Davies, JPL Publication 78–70.Google Scholar
  3. Clayton, D.D. 1968, Principles of Stellar Evolution and Nucleosynthesis, (New York: McGraw-Hill).Google Scholar
  4. Cowling, T.G. 1941, Mon. Not. R. Astr. Soc., 101, 367.Google Scholar
  5. Cox, A.N. and Stewart, J.N. 1970, Ap. J. Suppl., 19, 243.Google Scholar
  6. Douglass, D.H. 1978, A Close-Up of the Sun, ed. Neugebauer and Davies, JPL Publication 78-70.Google Scholar
  7. Dziembowski, W. 1971, Acta Astr., 21, 289.Google Scholar
  8. Fowler, W.A. 1974, in Late Stages of Stellar Evolution, ed. R.J. Tayler and J.E. Hesser (Dordrecht: Reidel), p. 245.Google Scholar
  9. Hill, H. 1978 “Seismic Sounding of the Sun,” preprint from The New Solar Physics, ed. J.A. Eddy (Boulder: Westview).Google Scholar
  10. Kaula, W.M. 1968, An Introduction to Planetary Physics, (New York: Wiley).Google Scholar
  11. Kopal,Z. 1949, Ap. J., 109, 509.Google Scholar
  12. Messiah, A. 1958, Quantum Mechanics, (New York: John Wiley and Sons, Inc.).Google Scholar
  13. Osaki, Y. and Hansen, C.J. 1973, Ap. J., 185, 277.Google Scholar
  14. Roxburgh, I.W. 1978, A Close-Up of the Sun, ed. Neugebauer and Davies, JPL Publication 78-70.Google Scholar
  15. Schwarzschild, M. 1958, Structure and Evolution of the Stars, (Princeton, N.J.: Princeton University Press).Google Scholar
  16. Severny, A.B., Kotov, V.A. and Tsap, T.T. 1976, Nature, 256, 87.Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • W. W. Johnson
    • 1
  • D. E. Winget
    • 1
  • D. H. Douglass
    • 1
  • H. M. Van Horn
    • 1
  1. 1.Department of Physics and AstronomyUniversity of RochesterRochester

Personalised recommendations