Введение в аналитическую динамику. Кирсанов А.А. - 5 стр.

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      Ãëàâà VIII. Òåîðåìà Ãàìèëüòîíà-ßêîáè ................................. 179
§8.1. Óðàâíåíèå Ãàìèëüòîíà â ÷àñòíûõ ïðîèçâîäíûõ ..................... 179
§8.2. Òåîðåìà Ãàìèëüòîíà-ßêîáè ..................................................... 181
§8.3. Ïðèëîæåíèÿ òåîðåìû Ãàìèëüòîíà-ßêîáè ............................... 188

         Ãëàâà IX. Óðàâíåíèÿ Ãàìèëüòîíà ............................................ 199
§9.1.    Ñêîáêè Ïóàññîíà ....................................................................... 199
§9.2.    Òåîðåìà Ïóàññîíà ...................................................................... 202
§9.3.    Ïðèìåíåíèå èçâåñòíîãî èíòåãðàëà äâèæåíèÿ .......................... 202
§9.4.    Èíòåãðàëüíûå èíâàðèàíòû ....................................................... 205
§9.5.    Òåîðåìà Ëèóâèëëÿ ..................................................................... 210

       Ãëàâà X. Çàäà÷à äâóõ òåë ........................................................... 215
§10.1. Äèôôåðåíöèàëüíûå óðàâíåíèÿ äâèæåíèÿ ................................ 215
§10.2. Ïåðâûå èíòåãðàëû óðàâíåíèé îòíîñèòåëüíîãî äâèæåíèÿ .... 218
       Èíòåãðàëû ïëîùàäåé (ìîìåíòà êîëè÷åñòâà äâèæåíèÿ) .......... 219
       Èíòåãðàë ýíåðãèè ...................................................................... 220
§10.3. Äâèæåíèå â ïëîñêîñòè îðáèòû ................................................. 221
§10.4. Òðàåêòîðèÿ äâèæåíèÿ ................................................................ 224
§10.5. Äâèæåíèå ïî ýëëèïñó ................................................................. 228
§10.6. Äâèæåíèå ïî ãèïåðáîëå ............................................................. 230
§10.6. Äâèæåíèå ïî ïàðàáîëå .............................................................. 231

       Ãëàâà XI. Òåîðèÿ êîëåáàíèé ..................................................... 233
§11.1. Ìàëûå êîëåáàíèÿ êîíñåðâàòèâíûõ ñèñòåì îêîëî
       ïîëîæåíèÿ ðàâíîâåñèÿ ............................................................... 233
§11.2. Íàëîæåíèå ñâÿçè ........................................................................ 239
§11.3. Ïðèíöèï Ðåëåÿ ........................................................................... 240

        Ãëàâà XII. Òåîðèÿ óäàðà ............................................................ 249
§ 12.1. Óäàðíûé èìïóëüñ ...................................................................... 249
§ 12.2. Èìïóëüñèâíûå ñâÿçè .................................................................. 251
§ 12.3. Îñíîâíîå óðàâíåíèå òåîðèè óäàðà ........................................... 253
§ 12.4. Òåîðåìà î ñóïåðïîçèöèè ........................................................... 256
§ 12.5. Øåñòü òåîðåì îá ýíåðãèè .......................................................... 257
        1. Ïðèðàùåíèå ýíåðãèè ñèñòåìû áåç èìïóëüñèâíûõ ñâÿçåé ... 257
        2. Òåîðåìà Êàðíî î ïîòåðå ýíåðãèè ïðè íàëîæåíèè ñâÿçè
        ïåðâîãî òèïà ............................................................................... 258