Введение в аналитическую динамику. Кирсанов А.А. - 6 стр.

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6
3. Âûèãðûø ýíåðãèè ïðè íàëîæåíèè ñâÿçè âòîðîãî ðîäà ....... 259
4. Òåîðåìà Áåðòðàíà .................................................................. 260
5. Òåîðåìà Êåëüâèíà .................................................................. 260
6. Òåîðåìà Òåéëîðà .................................................................... 261
§ 12.6. Èñïîëüçîâàíèå îáîáù¸ííûõ êîîðäèíàò è êâàçèêîîðäèíàò
â òåîðèè óäàðà ............................................................................ 263
Ïðèëîæåíèå I. ....................................................................................... 267
1. Èíòåãðèðóþùèé ìíîæèòåëü ................................................. 267
2. Óðàâíåíèÿ Ïôàôôà ................................................................ 270
Ïðèëîæåíèå II. Îäíîðîäíûå ôóíêöèè, òåîðåìà Ýéëåðà îá
îäíîðîäíûõ ôóíêöèÿõ ............................................................... 271
Ïðèëîæåíèå III. Âàðèàöèîííîå èñ÷èñëåíèå ....................................... 272
1. Óñëîâèå ñòàöèîíàðíîñòè èíòåãðàëüíîãî ôóíêöèîíàëà ...... 272
2. Ñâîáîäíûå ïðåäåëû èíòåãðèðîâàíèÿ ................................... 276
3. Ôóíêöèîíàëû ñ íåñêîëüêèìè íåèçâåñòíûìè ôóíêöèÿìè .... 277
4. Ïðèíöèï Ãàìèëüòîíà ............................................................ 279
5. Óðàâíåíèÿ Ëàãðàíæà ............................................................. 280
6. Óðàâíåíèå Ãàìèëüòîíà-ßêîáè .............................................. 283
7. Óðàâíåíèÿ Ãàìèëüòîíà.......................................................... 287
8. Òåîðåìà ßêîáè ....................................................................... 289
Ïðèëîæåíèå IV. Äâèæåíèå ïî çàêîíàì Êåïëåðà ................................ 291
Ïðèëîæåíèå V. Ôîðìóëû äëÿ âû÷èñëåíèÿ óñêîðåíèé â
îðòîãîíàëüíûõ êîîðäèíàòàõ .................................................... 294
Ëèòåðàòóðà. ........................................................................................... 297
Ïðåäìåòíûé óêàçàòåëü. ........................................................................ 298
6
        3. Âûèãðûø ýíåðãèè ïðè íàëîæåíèè ñâÿçè âòîðîãî ðîäà ....... 259
        4. Òåîðåìà Áåðòðàíà .................................................................. 260
        5. Òåîðåìà Êåëüâèíà .................................................................. 260
        6. Òåîðåìà Òåéëîðà .................................................................... 261
§ 12.6. Èñïîëüçîâàíèå îáîáù¸ííûõ êîîðäèíàò è êâàçèêîîðäèíàò
        â òåîðèè óäàðà ............................................................................ 263

Ïðèëîæåíèå I. ....................................................................................... 267
     1. Èíòåãðèðóþùèé ìíîæèòåëü ................................................. 267
     2. Óðàâíåíèÿ Ïôàôôà ................................................................ 270
Ïðèëîæåíèå II. Îäíîðîäíûå ôóíêöèè, òåîðåìà Ýéëåðà îá
     îäíîðîäíûõ ôóíêöèÿõ ............................................................... 271
Ïðèëîæåíèå III. Âàðèàöèîííîå èñ÷èñëåíèå ....................................... 272
     1. Óñëîâèå ñòàöèîíàðíîñòè èíòåãðàëüíîãî ôóíêöèîíàëà ...... 272
     2. Ñâîáîäíûå ïðåäåëû èíòåãðèðîâàíèÿ ................................... 276
     3. Ôóíêöèîíàëû ñ íåñêîëüêèìè íåèçâåñòíûìè ôóíêöèÿìè .... 277
     4. Ïðèíöèï Ãàìèëüòîíà ............................................................ 279
     5. Óðàâíåíèÿ Ëàãðàíæà ............................................................. 280
     6. Óðàâíåíèå Ãàìèëüòîíà-ßêîáè .............................................. 283
     7. Óðàâíåíèÿ Ãàìèëüòîíà .......................................................... 287
     8. Òåîðåìà ßêîáè ....................................................................... 289
Ïðèëîæåíèå IV. Äâèæåíèå ïî çàêîíàì Êåïëåðà ................................ 291
Ïðèëîæåíèå V. Ôîðìóëû äëÿ âû÷èñëåíèÿ óñêîðåíèé â
     îðòîãîíàëüíûõ êîîðäèíàòàõ .................................................... 294
Ëèòåðàòóðà. ........................................................................................... 297
Ïðåäìåòíûé óêàçàòåëü. ........................................................................ 298

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