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- W2092157102 abstract "view Abstract Citations (72) References (9) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Oscillations and the Stability of Rotating Gaseous Masses. Chandrasekhar, S. ; Lebovitz, Norman R. Abstract In this paper the oscillations and the stability of a rotating gaseous mass are considered on the basis of an appropriate tensor form of the virial theorem. On the assumption that the Lagrangian displacement can be expressed in the form = XjrXr (Xjr constants), a characteristic equation for X (of order eighteen) is derived from the nine integral relations provided by the virial theorem. An examination of the roots of this characteristic equation enables the enumeration of the properties of all the natural modes of oscillation belonging essentially to harmonics not higher than the second. It is shown that there are three principal groups among these modes: a group of three modes, each of which exhibits a doublet character; a group of two modes, one of which becomes neutral at a point where the condition for the occurrence of a point of bifurcation is satisfied and both of which become overstable at a higher angular velocity; and a group which represents the coupling of two modes, one of which is purely radial and the other of which is purely non-radial in the absence of rotation. In addition to these modes, there are two trivial modes, one of which is neutral and the other of which has a characteristic frequency equal to the angular velocity. Publication: The Astrophysical Journal Pub Date: January 1962 DOI: 10.1086/147262 Bibcode: 1962ApJ...135..248C full text sources ADS | Related Materials (2) Part 2: 1962ApJ...136.1069C Part 3: 1962ApJ...136.1082C" @default.
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- W2092157102 title "On the Oscillations and the Stability of Rotating Gaseous Masses." @default.
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