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Collins G.W. — The virial theorem in stellar astrophysics |
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Предметный указатель |
Angular momentum conservation 22 27 56
Angular velocity 34
Angular Velocity, critical 87
Angular velocity, local 43
Arnold, V.I. 15
Average Energy, kinetic 1
Average Energy, potential 1
Average stream velocity 6
Averages phases 14—16 65
Averages time 10 14—16
Averages velocity 6
Avez, A. 15
Birkhoff's theorem 15
Black holes 79
Boltzmann transport equation 3 6 21
Boltzmann, L. 14
Carnot, N.L.S. 1
Center of mass, acceleration 23
Chandrasekhar limit 81 84 88 90
Chandrasekhar, S. 1 9 20 23 24 29 47 57—59 81 85 86
Charge density 13
Claussius, R.J.E. 1
Conservation laws 8 25 33
Conservation of angular momentum 22 27 70
Conservation of energy 8
Conservation of linear momentum 31
Conservation of mass 6 12 23 26 48 73
Conservation of momentum 74
Coriolis force 35 36 44 70
Creation rate 6
Critical angular velocity 87
Density, charge 13
Density, electron 85
Density, force 12
Density, kinetic energy 12
Density, matter 6 12 30
Density, momentum 12
Density, relativistic matter 30
EIH approximation 29 33 82
Einstein field equations 29
Einstein, Infeld, Hoffman approximation see "EIH"
Electron density 85
Electrostriction 33
Energy conservation 8
Energy, all forms see "Specific forms"
Equations of motion for a zero resistivity gas 60
Equations of motion, Newtonian 9
Equations of motion, perturbed 49
Equations of motion, relativistic 30
Equatorial velocity 89
Ergodic hypothesis 15
Euclidean metric 29
Euler — Lagrange equations 7 23 29
Euler — Lagrange Equations with magnetic fields 33
Farquhar, I.E. 14 15
Faulkner, J. 86
Fermi, E. 2 20 49 69
Feynmann, R.P. 81
Force density 12
Force, Coriolis 35 36 44 70
Force, friction 11 37
Force, generalized 63
Force, Lorentz 12 34
Fowler, W.A. 81 82 85 86 91
Friction forces 11 37
Generalized forces 63
Goldstein, H. 9 34
Gravitational potential 10
Gravitational potential energy 25 72 87 95
Gravitational potential energy, variation 51
Gribben, J.R. 85
Hawking, S. 97
Heat energy 37 see
Hunter, C. 70
Hydrostatic equilibrium 7 82 see
Instability see "Stability"
Internal energy 25 32 37 83
Internal energy, variation 54
Jacobi's stability criterion 65 91
Jacobi, K. 2 64
Jeans' stability criterion 65
Kelvin — Helmholtz Contraction Time 94
Kelvin, Lord 93
kinetic energy 1 9 12 25 33 55 72
kinetic energy density 12
Kinetic energy, average 1
Kinetic energy, pulsational 55
Kinetic energy, relativistic 42 91
Kinetic energy, rotational 54
Kinetic energy, thermal 54
Kinetic energy, variation 51
Kurth, R. 8
Lagrange's identity 2 8 10 13 31 35 36 38 54 66 82
Lagrange's identity, special-relativistic form 25
Lagrange, J.L. 2
Landau, L.D. 8 25
Lebovitz, N. 20 23
Ledoux, P. 1 49 70
Leibniz law 27 42
Lewis' Theorem 15
Lifshitz, E.M. 8 25
Limber, D.N. 59
Linear momentum conservation 31
Local angular velocity 43
Lorentz force 12 34
Lorentz frame see "Lorentz space"
Lorentz metric see "Lorentz space"
Lorentz space 25 39 41
Louisville Theorem 6 15
Magnetic disruption energy 68 87
Magnetic energy 54 87
Magnetic energy, variation 57—59
| Magnetostriction 33
Mass, acceleration of center 23
Mass, conservation 6 12 23 26 50 74
Matter density 6 12 30
Maxwell's laws 42 76
Maxwell, J.C. 1 14
Meltzer, D.W. 80
Milne, E.H. 37 70
Misner, C. 25
Moment of inertia 9
Moment of inertia, about an axis 52 87
Moment of inertia, relativistic 26 82
Moment of inertia, variation 50
Momentum see "Angular momentum" "Linear
Momentum conservation 74
Momentum density 12
Neutron stars 79
Neutron stars stability 90—91
Newcomb, S. 96
Non-inertial coordinate frames 34
Ogorodnikov, K.F. 14
Oppenheimer, R.J. 82
Ostriker, J. 71
Parker, E.N. 1 20
Phase average 14—16
Phase space 6 15
Plancherel, K. 14
Poincare, H.I. 1
Poisson's equation 7 30
Poly tropes 25 84 88 92
Poly tropes, Kelvin — Helmholtz contraction, time for 94
Post-Newtonian approximation see "EIH"
Potential 7 21
potential energy 1 10 18 33 64
Potential energy, average 1
Potential energy, gravitational 72 87 95
Potential energy, variation 51
Potential scalar 23 31
Potential vector 31
Potential, gravitational 10
Potential, Rotational 35
Potentials, relativistic 31
Potentials, relativistic-interpretation 31 32
Potentials, scalar 23
Pulsation energy 54
Pulsation energy, variation 54
Pulsation frequency 66
Pulsation frequency, rotational effects 59
Pulsation periods 53
Pulsation periods, effects of rotation and magnetism 59
Pulsation, effects of surface terms 60—62
Pulsational frequency, for determining stability 66
Pulsational stability 67
Rayleigh, Lord 1 66
Relativistic correction terms to energies 32 82
Relativistic equations of motions 30
Relativistic form of Lagrange's identity see "Lagrange's identity"
Relativistic kinetic energy 43 91
Relativistic matter density 30
Relativistic moment of inertia 26 82
Relativistic potentials 31 32
Roche model 87
Rosenthal, A. 14
Rotational energy 37
Rotational energy, kinetic 54 56
Rotational energy, variation 55—57
Rotational potential 35
Scalar potentials 23 31
Schwarzschild radius 81 84 86 91
Sciama, D. 97
Secular stability 64 70
Siniai, Y. 15
Sir Jeans, J. 1
Space, Lorentz 25 39 41
Space, phase 6 15
Space, velocity 6
Space-time 25 96
Stability criterion, Jacobi's 65 91
Stability criterion, Jeans' 71
Stability criterion, pulsational 67
Stability of neutron stars 92—93
Stability of white dwarfs 84—86
Stability, against magnetic fields 68—70
Stability, against rotation 68—70
Stability, global 66
Stability, secular 15 70
Surface terms, magnetic 62
Surface terms, pressure 62 93
Thermal energy 54
Thorne, K.S. 25 81
Time averages 10 14—16
Time variation 76 77
Tooper, R.F. 81 86 91
Total energy 40 64 65
Total energy, variation 83 87
Variation of see "Specific term"
Vector potential 31
Velocity space 6
Velocity, angular 34
Velocity, average stream 6
Velocity, equatorial 89
Velocity, local angular 43
Virial 1 3 12 13
Virial equations 23—24
Virial tensor 21
Vis viva 1
viscosity 12 70
Volkoff, G. 82
Volume-average 86
Wheeler, J.A. 25
White dwarfs 25 81 85
White dwarfs stability 83—86
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