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| Авторизация |
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| Meirovitch L. — Methods of analytical dynamics |
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| Предметный указатель |
Space, Riemannian 8
Sphere, center of 175 502
Sphere, closed 502
Sphere, open 175 502
Sphere, radius of 175 502
Sphere, solid 505
Spherical domain 232
Spherical pendulum 84—85 87—88 96—97
Spherical region 175
Spin 142
Spin-stabilized artillery shell 255—258
Spin-stabilized satellite 467 475—483
Spiral point, stable 184 186
Spiral point, unstable 184 186
Stability matrix 259
Stability, asymptotical 176
Stability, asymptotically orbital 177 273
Stability, global 176
Stability, in the large 226
Stability, infinitesimal 178 226 227
Stability, Lagrange 178
Stability, Laplace 178
Stability, Liapunov 176
Stability, of linear autonomous systems 222—224
Stability, of linear systems with periodic coefficients 268—269
Stability, of periodic solutions 271—277
Stability, of periodic solutions, general variational equations 271—272
Stability, of periodic solutions, variational equations from canonical systems 273—277
Stability, orbital 177 272—273
Stability, Poincare 177
Stability, temporal 255
Stability, uniform 176
Stationary solutions in three-body problem 420
Stationary value of a function 53—55
Stationary value of an integral 55—59
Straight-line solution, general three-body problem 419
Straight-line solution, restricted three-body problem 424
Strutt diagram 286
Subharmonic oscillation 320
Subset 498
Subset, proper 498
subspace 47
Successive approximations, method of 215
Supremum 234 243 501 502 504
Surfaces of zero relative velocity, rotating satellites 471
Surfaces of zero relative velocity, three-body problem 423
Sylvester's theorem or criterion 232—233
Symmetric top See Top
Symplectic matrix 275
System of coordinates See Reference system or frame
System of particles, angular momentum of 23
System of particles, angular momentum of, apparent 24
System of particles, center of gravity of 21
System of particles, center of mass of 21
System of particles, conservation of 24
System of particles, kinetic energy of 24
System of particles, linear momentum of 22
System of particles, linear momentum of, conservation of 23
System of reference See Reference system or frame
System, acatastatic 51
System, autonomous 174
System, catastatic 51
System, conservative 15 16
System, holonomic 51
System, natural 77
System, nonautonomous 174
System, nonconservative 17
System, nonholonomic 51
System, nonnatural 77
System, rheonomic 51
System, scleronomic 51
Temporal stability 255
Tensor of first rank 134
Tensor of second rank, cartesian 135
Three-body problem 416—428
Three-body problem, elliptical 425
Three-body problem, general 416—420
| Three-body problem, restricted 420—425
Three-body problem, restricted, stability of equilibrium points 425—428
Time 1 8
Time, absolute 2
Time, as conjugate canonical variable 357 360
Time, local 2 6
Time, of pericentron passage 409
Top, motion of 149—157
Top, sleeping See Sleeping top
Topological invariants 498
Topological properties 172
Topological spaces 504—506
Topological spaces, homeomorphic 505
Torque, due to single force 13
Torque, due to system of forces 23
Trajectory in phase space 174
Trajectory in phase space, closed 177 195
Trajectory in phase space, cyclic 195
Transfer orbit 453—457
Transfer orbit, rendezvous 455
Transformation, affine 181 409
Transformation, contact or canonical 334—346
Transformation, Galilean 3 8
Transformation, general coordinate 46
Transformation, homogeneous 338
Transformation, identity 343
Transformation, infinitesimal 352—354
Transformation, Jacobian of 180 336 348
Transformation, Legendre 93 342
Transformation, linear coordinate 102—104
Transformation, Lorentzian 5—6 8
Transformation, orthogonal 124 344
Transformation, orthonormal 103 109 134 344
Transformation, point 340
Transformation, set 499
Transformation, similarity 125 181
Transformation, theory 334—377
Translation theorem for angular momentum 130—132
Transversal 200
Trivial solution 175 211.
Trojans, as related to three-body problem 424
True anomaly 409
Two-body problem 25—37
Two-body problem, inverse square law 30—37
Uniform stability 176
Unperturbed motion 175 225
Van der Pol's oscillator 205—206 297
Variable-mass systems 483—493
Variation 53 331
Variation in latitude 146
Variation of orbital elements 442—446
Variational equations 209 225—226
Variational equations for three-body problem 425—427
Variational equations from canonical systems 273—277
Variational equations with constant coefficients 226—231
Variational equations with periodic coefficients 271—277
Variational equations, general 225—226
Variational Principle 59
Vector(s), linearly dependent 211
Vector(s), linearly independent 211
Vector(s), space 211
Vector(s), unit 211
Velocity 2 9 10
Velocity of escape 35
Velocity of light 4
Velocity, absolute 10
Vernal equinox 412
Vernal equinox, regression of 441
Virtual displacements 53 56
Virtual displacements, reversible 60
Virtual work 50 60
Virtual work, principle of 59—64
Vortex See Center as
Work 14—17
Work, function 17
Work, virtual see Virtual work
World space see Minkowski space
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