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Collins G.W. — The virial theorem in stellar astrophysics
Collins G.W. — The virial theorem in stellar astrophysics



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Название: The virial theorem in stellar astrophysics

Автор: Collins G.W.

Аннотация:

Not only might one comfortably ask "why one would write a book on this subject?", but one might further wonder why anyone would resurrect it from the past. My reasons revolve around the original reasons for writing the monograph in the first place. I have always regarded the virial theorem as extremely powerful in understanding problems of stellar astrophysics, but I have also found it to be poorly understood by many who study the subject. While it is obvious that the theorem has not changed in the quarter-century that has passed since I first wrote the monograph, pressures on curricula have reduced the exposure of students to the theorem even below that of the mid 20th century. So it does not seem unreasonable that I make it available to any who might learn from it. I would only ask that should readers find it helpful in their research, that they make the proper attribution should they employ its contents.


Язык: en

Рубрика: Физика/Астрономия/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 116

Добавлена в каталог: 17.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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