Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Hamilton W.R. — The collected mathematical papers. Volume 2: dynamics
Hamilton W.R. — The collected mathematical papers. Volume 2: dynamics

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The collected mathematical papers. Volume 2: dynamics

Автор: Hamilton W.R.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1940

Количество страниц: 656

Добавлена в каталог: 03.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Aberration of a star, curve of      290
Academy, Royal Irish      v 103 283 286 291 293
Accumulated living force      107. See also Action; Characteristic function
action      25 107 214.
Action, function, differentiation of, with respect to vis viva      x xii 49
Action, law of least      108 109
Action, law of stationary      96 98 109
Action, law of varying      105
Action, law of varying, for binary system      129
Action, law of varying, for ternary system      142
Action, law of varying, for three-body problem      53 97
Action, law of varying, in general coordinates      115 120
Action, parabolic      89
Action, relative      122 125 150
Action, relative, approximate value for      151
Action, relative, law of varying      122 125
Adare, Lord      439
Aether, Faraday — Maxwell      xii
Aether, Hamilton's luminiferous      638
Aether, law of force between particles of      xiv 448 449
Aether, propagation of light in      446
airy      249 256 275 563
Airy's integral      563
Alcinoe      291
Amplitude      459
Amplitude, constants of      454
Angular momentum, integrals of      623
Anomaly, eccentric      43 136 624
Anomaly, true      208
Anthode      xiv 293 630
Anthode of a comet      293
Anthode, relation of hodograph to      630
Anthodographic isochronism, theorem of      xiv 293 630
Appell      48
Application of calculus of principal relations to lunar theory      xiii 238 257
Application of characteristic function to dynamics      x 103
Application of characteristic function to problem of three bodies      x xii 1
Application of principal function to dynamics      x 162 212
Approximate determination of elements in three-body problem      14
Approximate expression for vis viva in three-body problem      17
Approximate expressions for perturbations of multiple system      155
Approximate value of relative action      151
Approximation to motion of moon, Hamilton's method of      628
Approximation to parallactic inequality      248 272 277 627
Approximation to principal integral      335 339 344 348 367 631
Approximation to S      161 169 214 631
Approximation to S, for lunar theory      243 247
Approximation to S, for motion in resisting medium      351
Approximation to S, for nearly circular orbits      220 225 229
Approximation to S, for particle      183
Approximation to S, for projectile      189 191
Approximation to S, in three-body problem      235
Approximation to time, in three-body problem      37 612
Approximation to V      147 149 150
Approximation to V, for central orbits under various laws of force      83 88 89 92 93 94 95
Approximation to V, for multiple system      150
Approximation to V, in three-body problem      25 27 32 44 53
Approximation, lowering of order of, in lunar theory      273 274
Approximation, method of, by calculus of principal relations      250 257 278
Approximations to perturbations of dynamical system      155 172
Areal velocity      208
Areas, law of description of      112 127
Areas, law of, for binary system      134
Areas, law of, for central orbits      97
Argument of latitude      208
Astronomical bodies, perturbations of      See Perturbations
Astronomical refraction      98
Asymptotic expansions of Bessel functions      xii 509 539
Asymptotic values of integrals      xv 539 547 554
Atmospheric refraction      96
Attracting systems, motion of      105 150 197
Attraction between particles of aether, law of      xiv 448 449
Attraction, energy of      547
Auxiliary function      160. See also Principal function
Auxiliary function, approximation to      161
Auxiliary function, law of variation of      160
Auxiliary function, partial differential equations for      161
Axes, optic      442
Bays, theory of system of      105 214
Beaufort, Admiral Sir F.      103
Beaufort, D.A.      103
bessel      292 451
Bessel functions      xii xv 451 458 509 511 526 547
Bessel functions, asymptotic expansions of      xii 509 539
Biaxal crystal      See also Dispersive crystal
Biaxal crystal, dispersion in      437
Biaxal crystal, Fresnel's law of polarisation in      434 444
Biaxal crystal, Fresnel's law of wave-velocity in      433 434 444 639
Biaxal crystal, optic axes of      442
Biaxal crystal, wave-surface in      432 442
Binary system      128
Binary system, canonical elements for      202 206
Binary system, characteristic function for      xii 128
Binary system, differential equations of varying elements for      206
Binary system, integrals of motion of      132 207
Binary system, law of varying action for      129
Binary system, partial differential equation for S      619
Binary system, partial differential equations for V      130 135
Binary system, principal function for      619
Binary system, relative motion of, characteristic function for      134
Binary system, variational equation for      128
Biot      440 442
Boone      283
Born      638
Boscovich      104 118
Boscovich's hypothesis      104
Bremiker      292
British Association      256 257 267 278 410 595
Brown      240 246 248 277 627
Cajori      202 630
Calculus of principal functions      See Principal relations
Calculus of principal relations      See Principal relations
Calculus of quaternions      See Quaternions
Calculus of variations      See Variations calculus
Canonical elements      xiii 202 206
Canonical equations of motion      x xiii 166 215
Canonical forms of equations of motion, Lagrange's      117
Canonical set of constants      206
Capital problem of dynamics      212
Carslaw      571
Cauchy      xii 277 391 413 447 448 450 469 476 516 552 561 570 578 580 583 584 585 595 596 598 601 634 638 639
Cauchy's law of dispersion      447 582 584 586 596 601
Cauchy's law of force between particles of aether      448
Cauchy's method of characteristics      xii 391 634
Cauchy's principal value      469 476 516 552 580
Cauchy's researches on light-propagation in crystals, comparison with Hamilton      xii 638
Cayley      104 211
Central forces, theorems on      xiii 286
Central orbit      See also Binary system; Elliptic motion; Planetary motion
Central orbit, approximation to V for various laws of force      83
Central orbit, characteristic function for      79
Central orbit, curvature of      100
Central orbit, hodograph of      287 288
Central orbit, partial differential equations for V in, common solution of      79
Central orbit, partial differential equations for V in, transformations of      95
Central, sun      291 292
Centre of gravity, law of motion of      112 199
Centre of gravity, motion relative to      121
Centrobaric coordinates      2 124
Centrobaric coordinates, of Jupiter and Saturn, perturbations of      20
Centrobaric radius vector, perturbations of, in three-body problem      57 67
Centrobaric velocity      199
Characteristic function      xiii 105 107 214
Characteristic function, application of, to dynamics      x 103
Characteristic function, applied to three-body problem      xii 1
Characteristic function, approximation to      147 150
Characteristic function, approximation to, for central orbits      83 88 89 92 93 94 95
Characteristic function, approximation to, for multiple system      151 153
Characteristic function, approximation to, in three-body problem      25 27 32 44 53
Characteristic function, derivative of, with respect to vis viva      x xii 46 49 108
Characteristic function, disturbing part of, for multiple system      153 155
Characteristic function, disturbing part of, for ternary system      154
Characteristic function, for binary system      xii 128
Characteristic function, for elliptic motion      44 46 135
Characteristic function, for parabolic motion      139
Characteristic function, for planetary motion      135
Characteristic function, for relative motion      121
Characteristic function, for ternary system      140
Characteristic function, for three-body problem      3
Characteristic function, integrals of motion deduced from      107 108 115
Characteristic function, law of variation of      107 168. law
Characteristic function, law of variation of, for binary system      129 131
Characteristic function, law of variation of, for relative motion      121
Characteristic function, law of variation of, for ternary system      142 143
Characteristic function, law of variation of, in general coordinates      115 120
Characteristic function, law of variation of, in three-body problem      3 4 29
Characteristic function, method of improving approximation to      147
Characteristic function, partial differential equations for      109
Characteristic function, partial differential equations for, common solution for      79
Characteristic function, partial differential equations for, in binary system      130 135
Characteristic function, partial differential equations for, in elliptic motion      45 79 138
Characteristic function, partial differential equations for, in general coordinates      116
Characteristic function, partial differential equations for, in ternary system      142 143
Characteristic function, partial differential equations for, in three-body problem      5
Characteristic function, relation of principal function to      160 168
Characteristics, Cauchy's method of      xii 391 634
Characteristics, of partial differential equation of first order      xii 392 634
Characteristics, of partial differential equation of second order      636
Circular hodograph, law of      288
Circular hodograph, varying      290
Circular orbits, characteristic function for      32 43
Circular orbits, nearly      xiii 6 217
Circular orbits, perturbations of      30 235
Circular orbits, principal function for      218
Circular orbits, principal function for, approximations to      220 228 235
Circular orbits, principal function for, general expansion for      225
Circular orbits, principal function for, in polar coordinates      228
comet      See also Parabolic motion; Planetary motion
Comet, anthode of      293
Comet, motion of      135
Common solution of partial differential equations for V      79
Comparison of Hamilton's and Lagrange's methods of perturbation      160 207 622
Comparison of Hamilton's and Lagrange's methods of perturbation, in lunar theory      269 628
Comparison of Hamilton's and Lagrange's methods, results in perturbations of three-body problem      73 77
Composition of forces, statical proof of      xiii 284
Concave curvature of central orbit      100
Conies, description of, under central forces      xiii 286
Constants, canonical set of      206
Constants, method of variation of      175 249. method
Constants, of amplitude and epoch      454
Constants, of cubic lattice      418
Constants, variation of elliptic, in three-body problem      32
Contact transformation      179
Convex curvature of central orbit      100
coordinates      see Centrobaric; General; Geocentric; Heliocentric; Polar; Relative
Coriolis      106
Correspondence with Herschel      xv 599
Correspondence with Lubbock      xiii 249
Correspondence with Powell      xv 583
Criticism, Jacobi's      109 613
Criticism, Poisson's      614
Crystal, biaxal, dispersion in      437
Crystal, biaxal, Fresnel's law of polarisation in      433 444
Crystal, biaxal, Fresnel's law of wave-velocity in      433 434 444 639
Crystal, biaxal, optic axes of      442
Crystal, biaxal, wave-surface in      432 442
Crystal, directions of vibration in      423 434
Crystal, dispersive, Fresnel's law of propagation in      438 444 445 639
Crystal, dispersive, wave-surface in      444
Crystal, dispersive, wave-velocity in      437 439 441
Crystal, law of vis viva for vibrations in      437
Crystal, plane waves in, conditions for      416
Crystal, plane waves in, velocity of      423 427 433
Crystal, wave-velocities in      423
Crystalline medium, potential energy of      638
Crystals, optical properties of, comparison with Cauchy's and Green's results      638
Crystals, propagation of light in      xii xiv 413 450
Crystals, reflection and refraction in      435
Cubic lattice      418 450
Curvature of central orbit      100
Darkness, dynamics of      xii 541 555 599 600
Degree of periodicity      485
Depression of order of approximation, in lunar theory      273 274
Derivatives, Lagrange's notation for partial and total      316 317 336
Description of areas, law of      See Areas
Description of conies and sphero-conies under central forces      xiii 286
Description of wave-motion in elastic medium      563 604 640
Determination of principal function      613 631
Determination of principal function, approximate      335 339
Determination of principal function, conditions for      334 335 409
Development of theoretical dynamics      104
Differential equations      See Partial; Total differential equations
Differential expression of first order, calculus of principal relations for      332
Differential expression of first order, principal integral of      308 309 332
Differential expression of first order, principal supplementary equations of      333
Diffraction      569
Diffraction, spectrum      591
Direction of light vector      xii
Directions of vibration in crystal      423 434
Dispersion, in biaxal crystal      437
Dispersion, law of      447 582 584 586 596 601
Dispersion, of light      578 583 586
Dispersion, prismatic      594
Dispersive crystal      See also Biaxal crystal
Dispersive crystal, law of wave-propagation in      438 444 445 639
Dispersive crystal, wave-surface in      444
Dispersive crystal, wave-velocity in      437 439 441
Dispersive medium, law of wave-velocity in      447 582 584 586 596 601
Dispersive medium, propagation of vibration in      437 446 569 572 578 583 596
Dispersive medium, three-dimensional waves in      569
Disturbed motion, principal function for      171
Disturbing function, for particle      183 184
Disturbing function, for projectile      189
Disturbing function, in general perturbation theory      172 173
Disturbing function, in lunar theory, Laplace's      239 257
Disturbing function, in three-body problem      32 34 44 49 53 231 232
Disturbing function, in three-body problem, approximation to      49 237
Disturbing function, in three-body problem, Hamilton's and Laplace's compared      51
Disturbing function, in three-body problem, heliocentric      70
Disturbing function, in three-body problem, law of variation of      37
Disturbing part of S      170 172
Disturbing part of S, for particle      183
Disturbing part of S, for projectile      189 190 191
Disturbing part of V, for multiple system      153 155
Disturbing part of V, for ternary system      154
Donkin      206
Donkin's theorem      206
Dublin, University of      283
Dunraven Castle      238
Dynamics, application of characteristic function to      x 103
Dynamics, application of principal function to      x 163 212
Dynamics, capital problem of      212
Dynamics, development of theoretical      104
Dynamics, fundamental theorem of      3
Dynamics, general Method in      xiii 103 162 212
Dynamics, of darkness      xii 541 555 599 600
Dynamics, of light      xii 411
Dynamics, of material bodies      1
Dynamics, reciprocal theorem in      xv 451 458 490 493
Earth's annual motion, hodograph of      290
Eccentric anomaly      43 136 624
Eccentricity, vector of      290
Elastic medium, description of wave-motion in      563 604 640
Elastic medium, energy of attraction between particles of      547
Elastic medium, equations of vibration in      527
Elastic medium, equations of vibration in, general integral of      547 548 576 601 602
Elastic medium, propagation of motion in      xv 527 599
Elastic medium, three-dimensional waves in      569
Elastic medium, two-dimensional waves in      568
Element of contact      634
1 2 3 4 5
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2017
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте