1 Physical Properties of the Stars |
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1 | (18) |
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1 | (1) |
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1.2 Magnitude and Colour Index |
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1 | (3) |
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1.3 Luminosity and Bolometric Correction |
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4 | (1) |
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1.4 Effective Temperature |
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5 | (1) |
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1.5 Spectral Type and Luminosity Class |
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5 | (2) |
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7 | (4) |
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1.7 Gravity and Average Density |
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11 | (2) |
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13 | (1) |
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14 | (1) |
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14 | (5) |
2 Physical Conditions in the Stellar Interior |
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19 | (20) |
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19 | (1) |
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2.2 The Mass Continuity Equation |
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19 | (2) |
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2.3 The Hydrostatic Equilibrium Equation |
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21 | (5) |
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2.3.1 Deviations from Hydrostatic Equilibrium |
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22 | (2) |
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2.3.2 The Free-Fall Timescale |
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24 | (1) |
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2.3.3 The Mass Loss Rate in Stars |
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24 | (1) |
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2.3.4 Deviations from Spherical Symmetry |
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25 | (1) |
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26 | (1) |
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2.5 Pressure and Temperature |
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26 | (2) |
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2.6 Existence of Thermodynamic Equilibrium |
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28 | (1) |
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29 | (5) |
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29 | (1) |
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2.7.2 Gravitational Energy |
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30 | (2) |
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2.7.3 Nuclear Energy: The ProtonProton Reaction |
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32 | (1) |
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33 | (1) |
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2.8 The Energy Production Rate |
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34 | (5) |
3 The Electron Gas |
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39 | (18) |
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39 | (1) |
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39 | (1) |
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3.3 The Distribution Functions |
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40 | (1) |
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3.4 Pressure of a Perfect Gas |
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41 | (2) |
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3.5 The Mean Molecular Weight |
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43 | (2) |
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45 | (8) |
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3.6.1 Non-relativistic Degenerate Electrons |
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48 | (1) |
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3.6.2 Relativistic Degenerate Electrons |
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49 | (2) |
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3.6.3 Non-relativistic Partially Degenerate Electrons |
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51 | (2) |
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3.7 Crystallization and Neutronization |
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53 | (4) |
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54 | (1) |
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54 | (3) |
4 The Photon Gas |
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57 | (10) |
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57 | (1) |
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4.2 The BoseEinstein Statistics |
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57 | (2) |
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58 | (1) |
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4.2.2 The Radiation Pressure |
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58 | (1) |
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4.3 Concepts of the Radiation Field |
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59 | (3) |
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4.3.1 The Specific Intensity |
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59 | (1) |
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60 | (1) |
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61 | (1) |
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61 | (1) |
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62 | (1) |
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4.3.6 Moments of the Radiation Field |
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62 | (1) |
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4.4 Thermodynamic Equilibrium |
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62 | (2) |
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64 | (1) |
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65 | (2) |
5 Adiabatic Processes in the Stellar Interior |
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67 | (14) |
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67 | (1) |
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5.2 StefanBoltzmann's Law |
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67 | (1) |
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5.3 Specific Heats of a Perfect Gas |
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68 | (2) |
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70 | (1) |
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5.5 Effect of the Radiation Pressure |
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71 | (2) |
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5.6 Partially Ionized Gas |
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73 | (4) |
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77 | (4) |
6 Polytropes |
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81 | (18) |
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81 | (1) |
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6.2 Polytropic Variations |
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81 | (2) |
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6.3 The LaneEmden Equation |
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83 | (2) |
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6.4 Solutions of the LaneEmden Equation |
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85 | (1) |
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6.5 Interpretation of the Solutions |
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86 | (2) |
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88 | (3) |
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88 | (1) |
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89 | (1) |
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90 | (1) |
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6.7 Properties of the Polytrope with n = 3 |
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91 | (8) |
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91 | (4) |
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6.7.2 The Chandrasekhar Mass |
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95 | (4) |
7 Radiative Equilibrium |
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99 | (10) |
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99 | (1) |
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7.2 The Radiation Transfer Equation |
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99 | (2) |
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7.2.1 Solution of the Transfer Equation |
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100 | (1) |
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101 | (1) |
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7.3 The Radiation Field in the Stellar Interior |
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101 | (2) |
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103 | (2) |
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105 | (1) |
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7.6 The MassLuminosity Relation |
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106 | (3) |
8 Opacity |
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109 | (10) |
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109 | (1) |
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8.2 Interaction Processes Between Matter and Radiation |
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109 | (1) |
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8.3 BoundBound Transitions |
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110 | (1) |
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8.4 BoundFree Transitions |
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110 | (3) |
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8.5 FreeFree Transitions |
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113 | (1) |
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114 | (1) |
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8.6.1 The Eddington Limit |
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114 | (1) |
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8.7 Opacity in the p x T Diagram |
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115 | (4) |
9 Electron Conduction |
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119 | (8) |
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119 | (1) |
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119 | (1) |
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120 | (2) |
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9.4 The Conductive Opacity |
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122 | (2) |
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9.5 Conduction by Degenerate Electrons |
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124 | (3) |
10 Convection |
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127 | (10) |
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127 | (1) |
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10.2 Convective Instability |
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127 | (1) |
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128 | (2) |
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130 | (4) |
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132 | (1) |
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10.4.2 The Temperature Gradient |
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132 | (2) |
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10.5 The Convection Time Scales |
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134 | (1) |
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134 | (3) |
11 Thermonuclear Reactions |
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137 | (14) |
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137 | (1) |
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11.2 Nuclear Reaction Rates |
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137 | (2) |
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11.3 The Cross Section σ (E) |
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139 | (3) |
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11.3.1 The Collision Cross Section |
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139 | (1) |
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11.3.2 The Probability p(E) |
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139 | (1) |
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11.3.3 The Probability q(E) |
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140 | (1) |
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11.3.4 The Astrophysical S-Factor |
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141 | (1) |
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11.4 Reaction Rates Without Resonances |
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142 | (3) |
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11.5 The Energy Production Rate |
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145 | (2) |
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147 | (1) |
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148 | (3) |
12 Energy Production |
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151 | (22) |
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151 | (1) |
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12.2 The ProtonProton Chain |
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151 | (3) |
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154 | (3) |
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12.4 The Triple-a Process |
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157 | (1) |
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12.5 Stellar Evolution and Nucleosynthesis |
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158 | (15) |
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159 | (4) |
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12.5.2 Neutron Capture Processes |
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163 | (1) |
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12.5.3 Intermediate and Low Mass Stars |
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164 | (1) |
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165 | (1) |
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166 | (1) |
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167 | (1) |
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168 | (1) |
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168 | (1) |
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169 | (1) |
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169 | (4) |
13 Calculation of the Stellar Structure |
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173 | (18) |
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173 | (1) |
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13.2 Equations of the Stellar Structure |
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173 | (2) |
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13.3 Solution of the System of Equations |
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175 | (4) |
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13.3.1 Integration from r = 0 |
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176 | (1) |
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13.3.2 Integration from r = R |
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176 | (1) |
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13.3.3 The VogtRussell Theorem |
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177 | (1) |
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13.3.4 Homology Transformations |
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178 | (1) |
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13.3.5 Evolutionary Sequences |
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179 | (1) |
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13.4 An Example of Stellar Structure Models: The Sun |
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179 | (3) |
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182 | (2) |
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13.6 Processes Affecting Stellar Structure |
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184 | (7) |
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184 | (1) |
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185 | (1) |
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13.6.3 Pulsation and Variability |
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186 | (2) |
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13.6.4 Rotation and Magnetic Fields |
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188 | (3) |
A Constants and Units |
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191 | (2) |
Solutions |
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193 | (18) |
Index |
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211 | |