8.6: References and Supplemental Reading
- Page ID
- 141653
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- Eddington, A.S.: On the Pulsations of a Gaseous Star and the Problem of the Cepheid Variables. Part I, Mon. Not. R. astr. Soc., 79, 1918, pp. 2 - 22.
- Eddington, A.S.: The Internal Constitution of the Stars, Dover, New York, 1959, chap. 8.
- Ledoux, P.: On the Radial Pulsation of Stars", Ap.J. 102, 1945, pp.143 - 153
- Ledoux, P., and Walraven, Th.: "Variable Stars", Handb. d. Phys., Vol. 51, Springer-Verlag Berlin, 1958, pp.353 - 601.
- Chandrasekhar, S.: Hydrodynamic and Hydromagnetic Stability, Oxford University Press, London, 1961.
- Collins, G.W.,II: The Virial Theorem in Stellar Astrophysics, Pachart Press, Tucson, Ariz., 1978.
- Cox, J.P.: Theory of Stellar Pulsation, Princeton University Press, Princeton N.J., 1980.
- Baker,N., and Kippenhahn, R.: The Pulsations of Models of δ Cephei Stars", z. f. Astrophys. 54, 1962, pp.114 - 151.
- Cox, J.P.: On Second Helium Ionization as a Cause of Pulsational Instability in Stars, Ap.J. 138, 1963, pp.487 - 536.
- Castor, J.I.: On the Calculation of Linear, Nonadiabatic Pulsations of Stellar Models, Ap.J. 166, 1971, pp.109 - 129.
- Iben, I., Jr.: On the Specification of the Blue Edge Of The RR Lyrae Instability Strip, Ap.J. 166, 1971, pp.131 - 151.
- Arfken, G.: Mathematical Methods for Physicists, 2nd. ed. Academic, New York, 1970, pp.569 - 572.
- Deubner, F.-L., and Gough, D. "Helioseismology: Oscillations as a Diagnostic of the Solar Interior", Annual Reviews of Astronomy and Astrophysics, vol. 22, Annual Reviews, Palo Alto, Calif., 1984, pp.593 - 619.
- Lamb, H.: Hydrodynamics 5th.ed., Cambridge University Press, New York, 1924, pp.467 - 484.
- Cowling, T.G.: The Non-radial Oscillations of Polytropic Stars, Mon. Not. R. astr. Soc., 101, 1941, pp.367 - 373.
- Papaloizou,J.C.B., and Pringle,J.E.: Non-radial Oscillations of Rotating Star and Their Relevance to the Short-Period Oscillations of Cataclysmic Variables, Mon. Not. R. astr. Soc., 182, 1978, pp.423 - 442.
- Ulrich, R.K., and Rhodes, E.J., Jr.: Testing Solar Models with Global Solar Oscillations in the 5-Minute Band, Ap.J. 265, 1983, pp.551 - 563.
- Penrod, G.D. "Nonradial Pulsations and the Be Phenomenon", Physics of Be Stars, Ed: A.Slettebak and T.P.Snow, Cambridge University Press, Cambridge, 1987, p. 463.
- Smith, M.A., Gies, D.R. and Penrod, G.D.: "Spectral Transients in the Line Profiles of l Eridani", Physics of Be Stars, Ed: A.Slettebak and T.P.Snow, Cambridge University Press, Cambridge, 1987, pp. 464-467.
For a background of the observational material that initiated much of the interest in pulsating stars, read
Shapley, H.: On the Nature and Cause of Cepheid Variables Ap. J. 40, 1940, pp.448-465.
One of the most readable books on stellar pulsation remains
Rosseland, S.: The Pulsation Theory of Variable Stars, Dover, New York, 1964.
An excellent review of the nonadiabatic effects in stellar pulsation theory can be found in
Christy, R.F.: Pulsation Theory, Annual Reviews of Astronomy and Astrophysics, Vol. 4, Annual Reviews, Palo Alto, Calif., 1966, pp.353 - 392.