7.7: References and Supplemental Reading
- Page ID
- 141646
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)- Lamb, H.:Hydrodynamics, 5th ed. Cambridge University Press, NewYork, 1924, pp.216-217.
- Arfken, G.: Mathematical Methods for Physicists, Academic, New York, 1970, pp534-538.
- von Zeipel, H.,: The Radiative Equilibrium of a Rotating System of Gaseous Masses", Mon. Not. R. astr. Soc. 84, 1924, pp.665-701
- Eddington, A.S.: The Internal Constitution of the Stars, Dover Pub. Inc., New York, 1926, pp.282-283, 1959.
- von Zeipel, H.: The Radiative Equilibrium of a Double-Star System with Nearly Spherical Components, Mon. Not. R. astr. Soc. 84, 1924, pp.702-719.
- Sweet, P.A.: The Importance of Rotation in Stellar Evolution, Mon. Not. R. astr. Soc. 110, 1950, pp.548-558.
- Collins, G.W.,II: The Virial Theorem in Stellar Astrophysics, Pachart, Tucson, Ariz., chap.3, 1978, pp.61-102.
- Fricke, K.J., and Kippenhahn, R.: Evolution of Rotating Stars, Annual Review of Astronomy and Astrophysics, Annual Review, Palo AltoCalif. 1972, Ed: L. Goldberg Vol. 10, pp45-72.
During the last quarter of a century, much has been done regarding the structure of distorted stars. A useful historical review through the early 1970's can be found in
Roxburgh, I.W.:"Rotation and Stellar Interiors" Stellar Rotation, Ed: A. Slettebak,D. Reidel Pub. Co.,Dordrecht-Holland, 1970, p9-19.
However, the most comprehensive review of the problems relating to the structure of rotating stars is
Toussel, J.L.: The Theory of Rotating Stars Princeton University Press, Princeton N.J., 1978.
For the fundamental literature on distorted polytropes, see
Chandrasekhar, S.: The Equilibrium of Distorted Polytropes I (The Rotational Problem), Mon. Not R. ast. Soc. 93, 1933, pp.390-405.
Chandrasekhar, S.: The Equilibrium of Distorted Polytropes II (The Tidal Problem), Mon. Not. R. astr. Soc. 93, 1933, pp.449-471.
More recent work on this subject can be found in Limber and Roberts (1965) and Geroyannis and Valvi (1987) (see References and Supplemental Reading in Chapter 2).