Methods of Analytical Dynamics
, by Meirovitch, LeonardNote: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780486432397 | 0486432394
- Cover: Paperback
- Copyright: 5/20/2010
A balanced presentation that encompasses both formalism and structure in analytical dynamics, this graduate-level text discusses fundamentals of Newtonian and analytical mechanics, rigid body dynamics, behavior of dynamical systems, geometric theory, analytical solutions, transformation theory, problems in celestial mechanics and spacecraft dynamics, and more. 128 figures. 1970 edition.
Preface | vii | ||||
Chapter 1 Fundamentals of Newtonian Mechanics | 1 | (44) | |||
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1 | (8) | |||
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9 | (3) | |||
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12 | (1) | |||
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12 | (2) | |||
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14 | (3) | |||
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17 | (4) | |||
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21 | (4) | |||
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25 | (5) | |||
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30 | (7) | |||
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37 | (3) | |||
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40 | (4) | |||
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44 | (1) | |||
Chapter 2 Fundamentals of Analytical Mechanics | 45 | (56) | |||
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46 | (2) | |||
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48 | (5) | |||
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53 | (2) | |||
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55 | (4) | |||
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59 | (6) | |||
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65 | (1) | |||
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66 | (6) | |||
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72 | (7) | |||
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79 | (3) | |||
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82 | (3) | |||
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85 | (3) | |||
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88 | (3) | |||
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91 | (6) | |||
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97 | (3) | |||
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100 | (1) | |||
Chapter 3 Motion Relative to Rotating Reference Frames | 101 | (21) | |||
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102 | (2) | |||
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104 | (6) | |||
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110 | (2) | |||
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112 | (2) | |||
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114 | (2) | |||
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116 | (3) | |||
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119 | (2) | |||
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121 | (1) | |||
Chapter 4 Rigid Body Dynamics | 122 | (48) | |||
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123 | (3) | |||
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126 | (4) | |||
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130 | (2) | |||
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132 | (2) | |||
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134 | (3) | |||
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137 | (1) | |||
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138 | (2) | |||
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140 | (3) | |||
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143 | (4) | |||
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147 | (2) | |||
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149 | (8) | |||
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157 | (3) | |||
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160 | (2) | |||
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162 | (2) | |||
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164 | (5) | |||
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169 | (1) | |||
Chapter 5 Behavior of Dynamical Systems. Geometric Theory | 170 | (39) | |||
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171 | (7) | |||
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178 | (11) | |||
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189 | (6) | |||
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195 | (3) | |||
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198 | (8) | |||
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206 | (2) | |||
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208 | (1) | |||
Chapter 6 Stability of Multi-Degree-of-Freedom Autonomous Systems | 209 | (54) | |||
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210 | (7) | |||
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217 | (5) | |||
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222 | (3) | |||
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225 | (1) | |||
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226 | (3) | |||
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229 | (2) | |||
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231 | (8) | |||
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239 | (4) | |||
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243 | (9) | |||
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252 | (6) | |||
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258 | (2) | |||
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260 | (2) | |||
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262 | (1) | |||
Chapter 7 Nonautonomous Systems | 263 | (30) | |||
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264 | (7) | |||
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271 | (1) | |||
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272 | (1) | |||
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273 | (4) | |||
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277 | (3) | |||
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280 | (2) | |||
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282 | (6) | |||
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288 | (4) | |||
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292 | (1) | |||
Chapter 8 Analytical Solutions by Perturbation Techniques | 293 | (36) | |||
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294 | (3) | |||
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297 | (2) | |||
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299 | (3) | |||
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302 | (7) | |||
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309 | (4) | |||
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313 | (9) | |||
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322 | (5) | |||
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327 | (1) | |||
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328 | (1) | |||
Chapter 9 Transformation Theory. The Hamilton-Jacobi Equation | 329 | (52) | |||
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330 | (4) | |||
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334 | (5) | |||
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339 | (7) | |||
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346 | (3) | |||
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349 | (3) | |||
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352 | (3) | |||
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355 | (6) | |||
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361 | (4) | |||
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365 | (7) | |||
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372 | (6) | |||
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378 | (2) | |||
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380 | (1) | |||
Chapter 10 The Gyroscope: Theory and Applications | 381 | (27) | |||
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382 | (4) | |||
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386 | (3) | |||
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389 | (4) | |||
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393 | (5) | |||
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398 | (5) | |||
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403 | (3) | |||
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406 | (1) | |||
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407 | (1) | |||
Chapter 11 Problems in Celestial Mechanics | 408 | (44) | |||
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409 | (4) | |||
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413 | (3) | |||
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416 | (4) | |||
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420 | (5) | |||
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425 | (3) | |||
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428 | (2) | |||
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430 | (8) | |||
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438 | (4) | |||
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442 | (5) | |||
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447 | (3) | |||
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450 | (1) | |||
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451 | (1) | |||
Chapter 12 Problems in Spacecraft Dynamics | 452 | (42) | |||
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453 | (4) | |||
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457 | (6) | |||
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463 | (3) | |||
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466 | (4) | |||
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470 | (5) | |||
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475 | (8) | |||
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483 | (4) | |||
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487 | (4) | |||
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491 | (1) | |||
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492 | (2) | |||
Appendix A Dyadics | 494 | (3) | |||
Appendix B Elements of Topology and Modern Analysis | 497 | (9) | |||
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498 | (3) | |||
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501 | (3) | |||
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504 | (2) | |||
Suggested References | 506 | (1) | |||
Name Index | 507 | (4) | |||
Subject Index | 511 |
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