Introduction |
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xi | |
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Chapter 1 Simple Harmonic Motion, Damping and Resonance |
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1 | (16) |
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1.1 Simple Harmonic Motion |
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1 | (6) |
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1.1.1 A mass on a vertical spring |
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1 | (1) |
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1.1.2 The simple pendulum |
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1 | (4) |
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1.1.3 The energy of simple harmonic motion |
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5 | (2) |
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1.2 Damped Simple Harmonic Motion |
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7 | (4) |
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8 | (1) |
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9 | (1) |
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10 | (1) |
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1.3 Forced Vibration and Resonance |
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11 | (6) |
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14 | (3) |
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Chapter 2 Resonance in Everyday Life |
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17 | (18) |
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17 | (1) |
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2.2 The Opera Singer and the Wine Glass |
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18 | (2) |
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20 | (3) |
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2.3.1 The Broughton Suspension Bridge |
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21 | (1) |
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2.3.2 The Millennium Bridge, London |
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22 | (1) |
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23 | (2) |
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2.5 Buildings and Earthquakes |
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25 | (2) |
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2.6 Resonance and Musical Instruments |
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27 | (8) |
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2.6.1 Resonance of air in a pipe |
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27 | (4) |
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2.6.2 Resonance in a string |
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31 | (1) |
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32 | (3) |
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Chapter 3 Electrical Circuits and Resonance |
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35 | (14) |
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3.1 Direct-Current Circuits |
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35 | (1) |
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3.2 Expressing an Alternating Potential Difference |
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36 | (1) |
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37 | (4) |
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37 | (2) |
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39 | (2) |
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3.4 A. Series LCR Resonance Circuit |
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41 | (2) |
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3.5 A Parallel LCR Resonance Circuit |
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43 | (6) |
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47 | (2) |
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Chapter 4 Resonance in the Solar System |
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49 | (32) |
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49 | (5) |
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54 | (4) |
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4.3 Volcanoes on the Satellite Io |
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58 | (7) |
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4.3.1 Elastic hysteresis and Q values |
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59 | (1) |
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60 | (2) |
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4.3.3 The generation of energy in Io by tidal stressing |
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62 | (3) |
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4.1 Commensurabilities of Planetary and Satellite Orbits |
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65 | (16) |
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4.4.1 Planetary commensurabilities |
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65 | (5) |
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4.4.2 The commensurabilities of the Galilean satellites |
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70 | (2) |
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4.4.3 The commensurabilities of some of Saturn's satellites |
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72 | (2) |
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4.4.4 The Trojan asteroids |
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74 | (4) |
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78 | (3) |
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Chapter 5 Nuclear Magnetic Resonance |
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81 | (24) |
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5.1 A Brief Review of the Structure of Atoms |
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81 | (1) |
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5.2 Intrinsic Spins and Magnetic Moments |
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82 | (5) |
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5.2.1 Orientation of nuclei in a magnetic field |
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84 | (3) |
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5.3 Magnetic Resonance Imaging (MRI) |
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87 | (15) |
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88 | (3) |
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5.3.2 The basic physics of the MRI process |
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91 | (4) |
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95 | (2) |
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97 | (5) |
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5.4 Other Applications of NMR |
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102 | (3) |
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102 | (3) |
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Chapter 6 Electron Spin Resonance |
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105 | (18) |
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6.1 The Electronic Structure of Molecules and Free Radicals |
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105 | (6) |
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6.1.1 The electronic structure of atoms |
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105 | (3) |
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6.1.2 The electronic structure of molecules |
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108 | (2) |
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6.1.3 The electronic structure of free radicals |
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110 | (1) |
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6.2 The Basic Theory of Electron Spin Resonance |
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111 | (3) |
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6.3 The Form and Use of an ESR Spectrometer |
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114 | (1) |
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115 | (8) |
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6.4.1 ESR spectra for a single neighbouring nucleus with nuclear spin |
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116 | (3) |
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6.4.2 Many nuclei in equivalent positions |
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119 | (1) |
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6.4.3 Two sets of non-equivalent nuclei |
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120 | (2) |
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122 | (1) |
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Chapter 7 Resonance with Electromagnetic Radiation |
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123 | (22) |
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123 | (3) |
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7.1.1 Energy levels in atoms |
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123 | (1) |
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124 | (2) |
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7.1.3 Formation of Fraunhofer lines |
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126 | (1) |
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126 | (5) |
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7.2.1 Spontaneous and stimulated emission |
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127 | (3) |
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7.2.2 A simple laser system and uses of lasers |
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130 | (1) |
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131 | (5) |
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7.3.1 The klystron amplifier |
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133 | (2) |
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7.3.2 The cavity magnetron |
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135 | (1) |
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7.4 The Anomalous Scattering of X-rays |
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136 | (9) |
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7.4.1 Scattering from a free electron |
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137 | (1) |
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7.4.2 Scattering from a bound electron |
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138 | (5) |
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143 | (2) |
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Chapter 8 Nuclear Physics, Radiation and Particle Physics |
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145 | (24) |
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8.1 The Beginning of Nuclear Physics |
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145 | (2) |
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8.2 The Cockcroft--Walton Experiment |
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147 | (2) |
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149 | (6) |
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8.3.1 Maintaining resonance |
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153 | (1) |
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8.3.2 Overcoming special relativity effects |
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154 | (1) |
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8.4 Linear Particle Accelerators |
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155 | (2) |
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157 | (3) |
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8.6 Particles and Particle Colliders |
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160 | (9) |
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161 | (1) |
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161 | (1) |
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8.6.3 Quarks and sub-atomic particles |
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162 | (2) |
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164 | (2) |
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166 | (3) |
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Chapter 9 The Mossbauer Effect |
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169 | (18) |
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9.1 The Basis of the Mossbauer Effect |
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169 | (1) |
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169 | (1) |
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170 | (2) |
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172 | (2) |
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9.5 Nuclear Emission of γ-rays |
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174 | (1) |
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9.6 Factors Affecting γ-Ray Emission |
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175 | (2) |
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9.6.1 Natural line-width for γ-rays |
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175 | (1) |
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9.6.2 Doppler line broadening for γ-rays |
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176 | (1) |
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9.6.3 The recoil frequency shift for γ-rays |
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176 | (1) |
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9.7 Mossbauer Spectroscopy |
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177 | (2) |
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9.7.1 Experimental equipment |
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178 | (1) |
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179 | (4) |
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180 | (1) |
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9.8.2 Quadrupole splitting |
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180 | (2) |
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182 | (1) |
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9.9 Information from Mossbauer Spectroscopy |
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183 | (4) |
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184 | (3) |
Appendix I The Binomial Theorem and Approximations |
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187 | (4) |
Appendix II A Program for Simulating Kirkwood Gap Formation |
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191 | (6) |
Appendix III A Program for Finding the Orbits of Trojan Asteroids |
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197 | (8) |
Physical Constants and Useful Data |
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205 | (2) |
Solutions to Examples and Problems |
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207 | (32) |
Index |
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239 | |