858:
36:
871:
1134:
1309:". Similarly, a background observer can argue that the forced acceleration of the mass causes an apparent gravitational field in the region between it and the environmental material (the accelerated mass also "drags light"). This "mutual" effect, and the ability of an accelerated mass to warp lightbeam geometry and lightbeam-based coordinate systems, is referred to as
1223:
1679:
1742:
1020:
frame. This approach avoids the use of fictitious forces (it is based on an inertial frame, where fictitious forces are absent, by definition) but it may be less convenient from an intuitive, observational, and even a calculational viewpoint. As pointed out by Ryder for the case of rotating frames as used in meteorology:
1056:. The rotation of the Earth seemingly causes the pendulum to change its plane of oscillation because the surroundings of the pendulum move with the Earth. As seen from an Earth-bound (non-inertial) frame of reference, the explanation of this apparent change in orientation requires the introduction of the fictitious
1316:
Frame-dragging removes the usual distinction between accelerated frames (which show gravitational effects) and inertial frames (where the geometry is supposedly free from gravitational fields). When a forcibly-accelerated body physically "drags" a coordinate system, the problem becomes an exercise in
1213:
exists in the accelerated frame (we reserve the word gravitational for the case in which a mass is involved). An object accelerated to be stationary in the accelerated frame will "feel" the presence of the field, and they will also be able to see environmental matter with inertial states of motion
1019:
In flat spacetime, the use of non-inertial frames can be avoided if desired. Measurements with respect to non-inertial reference frames can always be transformed to an inertial frame, incorporating directly the acceleration of the non-inertial frame as that acceleration as seen from the inertial
1100:
This incompatible use of the term "fictitious force" is unrelated to non-inertial frames. These so-called "forces" are defined by determining the acceleration of a particle within the curvilinear coordinate system, and then separating the simple double-time derivatives of coordinates from the
1024:
A simple way of dealing with this problem is, of course, to transform all coordinates to an inertial system. This is, however, sometimes inconvenient. Suppose, for example, we wish to calculate the movement of air masses in the earth's atmosphere due to pressure gradients. We need the results
1070:
In this connection, it may be noted that a change in coordinate system, for example, from
Cartesian to polar, if implemented without any change in relative motion, does not cause the appearance of fictitious forces, although the form of the laws of motion varies from one type of curvilinear
1304:
models, the accelerated body can agree that the apparent gravitational field is associated with the motion of the background matter, but can also claim that the motion of the material as if there is a gravitational field, causes the gravitational field - the accelerating background matter
1607:, since it is the relative motion that transports heat and mass over the Earth. … To say it a little differently—it is the relative velocity that we measure when observe from Earth’s surface, and it is the relative velocity that we seek for most any practical purposes."
1652:
939:
at rest in a non-inertial frame will, in general, detect a non-zero acceleration. While the laws of motion are the same in all inertial frames, in non-inertial frames, they vary from frame to frame, depending on the acceleration.
80:, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the English Knowledge (XXG).
1067:. In that case, the prediction of the measured tension in the string based on the motion of the spheres as observed from a rotating reference frame requires the rotating observers to introduce a fictitious centrifugal force.
90:
212:
236:
66:
1093:. To avoid confusion, this distracting ambiguity in terminologies is pointed out here. These so-called "forces" are non-zero in all frames of reference, inertial or non-inertial, and do
994:
967:. In general, the expression for any fictitious force can be derived from the acceleration of the non-inertial frame. As stated by Goodman and Warner, "One might say that
997:, there are no global inertial reference frames in general relativity. More specifically, the fictitious force which appears in general relativity is the force of
1247:
1155:
902:
491:
1209:, and effectively free from obvious gravitational fields, then if an accelerated coordinate system is overlaid onto the same region, it can be said that a
1284:
In frame-based descriptions, this supposed field can be made to appear or disappear by switching between "accelerated" and "inertial" coordinate systems.
610:
583:
100:
Do not translate text that appears unreliable or low-quality. If possible, verify the text with references provided in the foreign-language article.
1048:
That a given frame is non-inertial can be detected by its need for fictitious forces to explain observed motions. For example, the rotation of the
1200:
1025:
relative to the rotating frame, the earth, so it is better to stay within this coordinate system if possible. This can be achieved by introducing
108:
978:
holds in any coordinate system provided the term 'force' is redefined to include the so-called 'reversed effective forces' or 'inertia forces'."
1603:
and this very large centripetal force explicitly, and yet our interest is almost always the small relative motion of the atmosphere and ocean,
857:
1689:
1635:
1767:
1117:
1080:
565:
1866:
1839:
1808:
1777:
1722:
1662:
1581:
1554:
1527:
1490:
1459:
1432:
1401:
1265:
1181:
895:
130:
1097:
transform as vectors under rotations and translations of the coordinates (as all
Newtonian forces do, fictitious or otherwise).
1293:
231:
168:
1794:
1159:
964:
226:
486:
121:
Content in this edit is translated from the existing
Spanish Knowledge (XXG) article at ]; see its history for attribution.
48:
481:
1892:
1887:
888:
875:
636:
1238:
952:
324:
1346:
1010:
932:
555:
356:
1144:
1029:(or "non-existent") forces which enable us to apply Newton's Laws of Motion in the same way as in an inertial frame.
1831:
1515:
956:
775:
664:
590:
450:
383:
1163:
1148:
1101:
remaining terms. These remaining terms then are called "fictitious forces". More careful usage calls these terms "
529:
947:
it is often possible to explain the motion of bodies in non-inertial reference frames by introducing additional
1326:
805:
649:
116:
137:
1109:
1086:
795:
755:
519:
85:
1306:
800:
617:
990:
810:
785:
471:
289:
1611:
by James F. Price, Woods Hole
Oceanographic Institution (2006). See in particular §4.3, p. 34 in the
1351:
1113:
830:
825:
790:
698:
694:
686:
676:
466:
459:
215:
1233:
1301:
944:
605:
546:
524:
269:
264:
259:
159:
1102:
982:
924:
735:
476:
351:
319:
279:
1714:
1862:
1835:
1825:
1804:
1773:
1748:
1718:
1685:
1658:
1631:
1577:
1550:
1523:
1519:
1486:
1476:
1455:
1449:
1428:
1397:
1391:
1370:
1336:
1090:
1053:
948:
745:
702:
659:
654:
595:
371:
361:
254:
112:
1856:
1625:
1418:
1482:
1331:
1064:
1014:
840:
820:
765:
760:
706:
681:
536:
394:
339:
314:
17:
1341:
1206:
1057:
835:
780:
730:
725:
644:
1612:
1707:
1608:
1508:
1310:
960:
862:
770:
671:
388:
334:
1214:(stars, galaxies, etc.) to be apparently falling "downwards" in the field al g curved
1881:
1424:
936:
750:
577:
928:
815:
740:
429:
309:
1571:
1544:
1800:
1133:
1278:
600:
274:
27:
Reference frame that undergoes acceleration with respect to an inertial frame
986:
622:
1116:. The application of Lagrangian methods to polar coordinates can be found
541:
424:
399:
1752:
998:
514:
367:
284:
119:
to the source of your translation. A model attribution edit summary is
1549:(Reprint of 1963 ed.). Courier Dover Publications. p. 358.
573:
419:
329:
1063:
Another famous example is that of the tension in the string between
1772:(Reprint of 1970 ed.). Courier Dover Publications. p. 4.
1049:
409:
404:
346:
1085:
A different use of the term "fictitious force" often is used in
414:
377:
77:
1709:
Discovering the
Natural Laws: The Experimental Basis of Physics
1216:
1127:
29:
1044:
Detection of a non-inertial frame: need for fictitious forces
1657:(3rd ed.). Saunders College Publishing. p. 135.
207:{\displaystyle {\textbf {F}}={\frac {d\mathbf {p} }{dt}}}
89:
to this template: there are already 946 articles in the
1292:
As the situation is modeled in finer detail, using the
1300:
gravitational field becomes less realistic. In these
171:
1741:
Sidney
Borowitz & Lawrence A. Bornstein (1968).
1543:
Lawrence E. Goodman & William H. Warner (2001).
73:
69:
a machine-translated version of the
Spanish article.
127:{{Translated|es|Sistema de referencia no inercial}}
1706:
1596:"The inertial frame equations have to account for
1507:
206:
951:(also called inertial forces, pseudo-forces, and
993:inertial, but globally non-inertial. Due to the
1022:
115:accompanying your translation by providing an
60:Click for important translation instructions.
47:expand this article with text translated from
1855:I. Bernard Cohen, George Edwin Smith (2002).
1454:. Atlantica Séguier Frontières. p. 286.
1390:Emil Tocaci, Clive William Kilmister (1984).
896:
8:
1075:Fictitious forces in curvilinear coordinates
1681:Mathematical Methods of Classical Mechanics
1205:If a region of spacetime is declared to be
1162:. Unsourced material may be challenged and
995:non-Euclidean geometry of curved space-time
1861:. Cambridge University Press. p. 43.
1005:Avoiding fictitious forces in calculations
903:
889:
150:
1744:A Contemporary View of Elementary Physics
1393:Relativistic Mechanics, Time, and Inertia
1266:Learn how and when to remove this message
1182:Learn how and when to remove this message
188:
182:
173:
172:
170:
1478:A Modern Approach to Classical Mechanics
1796:The Investigation of the Physical World
1362:
1201:Proper reference frame (flat spacetime)
222:
158:
1824:Louis N. Hand, Janet D. Finch (1998).
1713:. Courier Dover Publications. p.
1654:Physics for scientists & engineers
1108:" to indicate their connection to the
959:. Common examples of this include the
94:
1065:two spheres rotating about each other
585:Newton's law of universal gravitation
7:
1793:Giuliano Toraldo di Francia (1981).
1317:warped spacetime for all observers.
1160:adding citations to reliable sources
1081:Mechanics of planar particle motion
566:Mechanics of planar particle motion
174:
1570:M. Alonso & E.J. Finn (1992).
25:
1858:The Cambridge companion to Newton
1630:. Aachen Shaker. pp. 78–79.
1448:Ludwik Marian Celnikier (1993).
1221:
1132:
870:
869:
856:
189:
34:
1294:general principle of relativity
1769:Methods of analytical Dynamics
1573:Fundamental university physics
1371:"Accelerated Reference Frames"
1071:coordinate system to another.
125:You may also add the template
1:
492:Koopman–von Neumann mechanics
1747:. McGraw-Hill. p. 138.
1514:(Reprint of 1968 ed.).
917:non-inertial reference frame
560:Non-inertial reference frame
1766:Leonard Meirovitch (2004).
1347:Inertial frame of reference
1241:. The specific problem is:
1011:Inertial frame of reference
921:accelerated reference frame
487:Appell's equation of motion
357:Inertial frame of reference
138:Knowledge (XXG):Translation
97:will aid in categorization.
18:Accelerated reference frame
1909:
1832:Cambridge University Press
1729:reference laws of physics.
1705:Milton A. Rothman (1989).
1651:Raymond A. Serway (1990).
1516:Courier Dover Publications
1288:More advanced descriptions
1237:to meet Knowledge (XXG)'s
1198:
1124:Relativistic point of view
1078:
1008:
72:Machine translation, like
1684:. Springer. p. 129.
1506:Albert Shadowitz (1988).
1417:Wolfgang Rindler (1977).
1396:. Springer. p. 251.
1281:as if the field is real.
1195:Frames and flat spacetime
49:the corresponding article
1327:Rotating reference frame
1211:uniform fictitious field
1052:can be observed using a
650:Rotating reference frame
482:Hamilton–Jacobi equation
1110:generalized coordinates
1087:curvilinear coordinates
591:Newton's laws of motion
451:Newton's laws of motion
136:For more guidance, see
1678:V. I. Arnol'd (1989).
1451:Basics of Space Flight
1041:
618:Simple harmonic motion
531:Euler's laws of motion
325:D'Alembert's principle
208:
1199:Further information:
472:Hamiltonian mechanics
290:Statistical mechanics
209:
109:copyright attribution
1827:Analytical Mechanics
1624:Peter Ryder (2007).
1420:Essential Relativity
1358:References and notes
1352:Free motion equation
1248:improve this article
1156:improve this section
1114:Lagrangian mechanics
989:causes frames to be
695:Angular acceleration
687:Rotational frequency
467:Lagrangian mechanics
460:Analytical mechanics
216:Second law of motion
169:
1893:Classical mechanics
1888:Frames of reference
1627:Classical Mechanics
1475:Harald Iro (2002).
1296:, the concept of a
1036:Classical Mechanics
985:, the curvature of
957:Newton's second law
945:classical mechanics
931:with respect to an
547:Harmonic oscillator
525:Equations of motion
160:Classical mechanics
154:Part of a series on
1576:. Addison-Wesley.
1510:Special relativity
983:general relativity
925:frame of reference
919:(also known as an
863:Physics portal
477:Routhian mechanics
352:Frame of reference
204:
117:interlanguage link
1691:978-0-387-96890-2
1637:978-3-8322-6003-3
1337:Centrifugal force
1276:
1275:
1268:
1239:quality standards
1230:This article may
1192:
1191:
1184:
1106:fictitious forces
1091:polar coordinates
1054:Foucault pendulum
981:In the theory of
965:centrifugal force
953:d'Alembert forces
949:fictitious forces
913:
912:
660:Centrifugal force
655:Centripetal force
611:Euler's equations
596:Relative velocity
372:Moment of inertia
202:
176:
149:
148:
61:
57:
16:(Redirected from
1900:
1873:
1872:
1852:
1846:
1845:
1821:
1815:
1814:
1790:
1784:
1783:
1763:
1757:
1756:
1738:
1732:
1731:
1712:
1702:
1696:
1695:
1675:
1669:
1668:
1648:
1642:
1641:
1621:
1615:
1613:Coriolis lecture
1594:
1588:
1587:
1567:
1561:
1560:
1540:
1534:
1533:
1513:
1503:
1497:
1496:
1483:World Scientific
1472:
1466:
1465:
1445:
1439:
1438:
1414:
1408:
1407:
1387:
1381:
1380:
1378:
1377:
1367:
1332:Fictitious force
1271:
1264:
1260:
1257:
1251:
1243:meaninglessness.
1225:
1224:
1217:
1187:
1180:
1176:
1173:
1167:
1136:
1128:
1039:
1015:Fictitious force
905:
898:
891:
878:
873:
872:
865:
861:
860:
766:Johann Bernoulli
761:Daniel Bernoulli
682:Tangential speed
586:
562:
537:Fictitious force
532:
384:Mechanical power
374:
315:Angular momentum
213:
211:
210:
205:
203:
201:
193:
192:
183:
178:
177:
151:
128:
122:
96:
95:|topic=
93:, and specifying
78:Google Translate
59:
56:(September 2022)
55:
38:
37:
30:
21:
1908:
1907:
1903:
1902:
1901:
1899:
1898:
1897:
1878:
1877:
1876:
1869:
1854:
1853:
1849:
1842:
1834:. p. 324.
1823:
1822:
1818:
1811:
1803:. p. 115.
1792:
1791:
1787:
1780:
1765:
1764:
1760:
1740:
1739:
1735:
1725:
1704:
1703:
1699:
1692:
1677:
1676:
1672:
1665:
1650:
1649:
1645:
1638:
1623:
1622:
1618:
1601:
1595:
1591:
1584:
1569:
1568:
1564:
1557:
1542:
1541:
1537:
1530:
1505:
1504:
1500:
1493:
1485:. p. 180.
1474:
1473:
1469:
1462:
1447:
1446:
1442:
1435:
1416:
1415:
1411:
1404:
1389:
1388:
1384:
1375:
1373:
1369:
1368:
1364:
1360:
1342:Coriolis effect
1323:
1298:frame-dependent
1290:
1272:
1261:
1255:
1252:
1245:
1226:
1222:
1203:
1197:
1188:
1177:
1171:
1168:
1153:
1137:
1126:
1089:, particularly
1083:
1077:
1046:
1040:
1033:
1017:
1007:
927:that undergoes
909:
868:
855:
854:
847:
846:
845:
720:
712:
711:
691:
645:Circular motion
639:
629:
628:
627:
584:
554:
551:
530:
509:
501:
500:
497:
496:
454:
444:
436:
435:
434:
393:
389:Mechanical work
382:
366:
304:
296:
295:
294:
249:
241:
218:
194:
184:
167:
166:
145:
144:
143:
126:
120:
62:
39:
35:
28:
23:
22:
15:
12:
11:
5:
1906:
1904:
1896:
1895:
1890:
1880:
1879:
1875:
1874:
1867:
1847:
1840:
1816:
1809:
1785:
1778:
1758:
1733:
1723:
1697:
1690:
1670:
1663:
1643:
1636:
1616:
1599:
1589:
1582:
1562:
1555:
1535:
1528:
1498:
1491:
1467:
1460:
1440:
1433:
1427:. p. 25.
1409:
1402:
1382:
1361:
1359:
1356:
1355:
1354:
1349:
1344:
1339:
1334:
1329:
1322:
1319:
1311:frame-dragging
1289:
1286:
1274:
1273:
1229:
1227:
1220:
1196:
1193:
1190:
1189:
1140:
1138:
1131:
1125:
1122:
1076:
1073:
1058:Coriolis force
1045:
1042:
1031:
1006:
1003:
961:Coriolis force
933:inertial frame
911:
910:
908:
907:
900:
893:
885:
882:
881:
880:
879:
866:
849:
848:
844:
843:
838:
833:
828:
823:
818:
813:
808:
803:
798:
793:
788:
783:
778:
773:
768:
763:
758:
753:
748:
743:
738:
733:
728:
722:
721:
718:
717:
714:
713:
710:
709:
690:
689:
684:
679:
674:
672:Coriolis force
669:
668:
667:
657:
652:
647:
641:
640:
635:
634:
631:
630:
626:
625:
620:
615:
614:
613:
608:
598:
593:
588:
581:
570:
569:
568:
563:
550:
549:
544:
539:
534:
527:
522:
517:
511:
510:
507:
506:
503:
502:
499:
498:
495:
494:
489:
484:
479:
474:
469:
463:
457:
455:
448:
445:
442:
441:
438:
437:
433:
432:
427:
422:
417:
412:
407:
402:
397:
391:
386:
380:
375:
364:
359:
354:
349:
344:
343:
342:
337:
327:
322:
317:
312:
306:
305:
302:
301:
298:
297:
293:
292:
287:
282:
277:
272:
267:
262:
257:
251:
250:
247:
246:
243:
242:
240:
239:
234:
229:
223:
220:
219:
214:
200:
197:
191:
187:
181:
163:
162:
156:
155:
147:
146:
142:
141:
134:
123:
101:
98:
86:adding a topic
81:
70:
63:
44:
43:
42:
40:
33:
26:
24:
14:
13:
10:
9:
6:
4:
3:
2:
1905:
1894:
1891:
1889:
1886:
1885:
1883:
1870:
1868:0-521-65696-6
1864:
1860:
1859:
1851:
1848:
1843:
1841:0-521-57572-9
1837:
1833:
1829:
1828:
1820:
1817:
1812:
1810:0-521-29925-X
1806:
1802:
1798:
1797:
1789:
1786:
1781:
1779:0-486-43239-4
1775:
1771:
1770:
1762:
1759:
1754:
1750:
1746:
1745:
1737:
1734:
1730:
1726:
1724:0-486-26178-6
1720:
1716:
1711:
1710:
1701:
1698:
1693:
1687:
1683:
1682:
1674:
1671:
1666:
1664:0-03-031358-9
1660:
1656:
1655:
1647:
1644:
1639:
1633:
1629:
1628:
1620:
1617:
1614:
1610:
1606:
1602:
1593:
1590:
1585:
1583:0-201-56518-8
1579:
1575:
1574:
1566:
1563:
1558:
1556:0-486-42006-X
1552:
1548:
1547:
1539:
1536:
1531:
1529:0-486-65743-4
1525:
1521:
1517:
1512:
1511:
1502:
1499:
1494:
1492:981-238-213-5
1488:
1484:
1480:
1479:
1471:
1468:
1463:
1461:2-86332-132-3
1457:
1453:
1452:
1444:
1441:
1436:
1434:3-540-07970-X
1430:
1426:
1422:
1421:
1413:
1410:
1405:
1403:90-277-1769-9
1399:
1395:
1394:
1386:
1383:
1372:
1366:
1363:
1357:
1353:
1350:
1348:
1345:
1343:
1340:
1338:
1335:
1333:
1330:
1328:
1325:
1324:
1320:
1318:
1314:
1312:
1308:
1303:
1299:
1295:
1287:
1285:
1282:
1280:
1270:
1267:
1259:
1249:
1244:
1240:
1236:
1235:
1228:
1219:
1218:
1215:
1212:
1208:
1202:
1194:
1186:
1183:
1175:
1165:
1161:
1157:
1151:
1150:
1146:
1141:This section
1139:
1135:
1130:
1129:
1123:
1121:
1119:
1115:
1111:
1107:
1105:
1098:
1096:
1092:
1088:
1082:
1074:
1072:
1068:
1066:
1061:
1059:
1055:
1051:
1043:
1037:
1034:Peter Ryder,
1030:
1028:
1021:
1016:
1012:
1004:
1002:
1000:
996:
992:
988:
984:
979:
977:
974:
970:
966:
962:
958:
954:
950:
946:
941:
938:
937:accelerometer
934:
930:
926:
922:
918:
906:
901:
899:
894:
892:
887:
886:
884:
883:
877:
867:
864:
859:
853:
852:
851:
850:
842:
839:
837:
834:
832:
829:
827:
824:
822:
819:
817:
814:
812:
809:
807:
804:
802:
799:
797:
794:
792:
789:
787:
784:
782:
779:
777:
774:
772:
769:
767:
764:
762:
759:
757:
754:
752:
749:
747:
744:
742:
739:
737:
734:
732:
729:
727:
724:
723:
716:
715:
708:
704:
700:
696:
693:
692:
688:
685:
683:
680:
678:
675:
673:
670:
666:
663:
662:
661:
658:
656:
653:
651:
648:
646:
643:
642:
638:
633:
632:
624:
621:
619:
616:
612:
609:
607:
604:
603:
602:
599:
597:
594:
592:
589:
587:
582:
579:
575:
572:
571:
567:
564:
561:
557:
553:
552:
548:
545:
543:
540:
538:
535:
533:
528:
526:
523:
521:
518:
516:
513:
512:
505:
504:
493:
490:
488:
485:
483:
480:
478:
475:
473:
470:
468:
465:
464:
462:
461:
456:
453:
452:
447:
446:
440:
439:
431:
428:
426:
423:
421:
418:
416:
413:
411:
408:
406:
403:
401:
398:
396:
392:
390:
387:
385:
381:
379:
376:
373:
369:
365:
363:
360:
358:
355:
353:
350:
348:
345:
341:
338:
336:
333:
332:
331:
328:
326:
323:
321:
318:
316:
313:
311:
308:
307:
300:
299:
291:
288:
286:
283:
281:
278:
276:
273:
271:
268:
266:
263:
261:
258:
256:
253:
252:
245:
244:
238:
235:
233:
230:
228:
225:
224:
221:
217:
198:
195:
185:
179:
165:
164:
161:
157:
153:
152:
139:
135:
132:
124:
118:
114:
110:
106:
102:
99:
92:
91:main category
88:
87:
82:
79:
75:
71:
68:
65:
64:
58:
52:
50:
45:You can help
41:
32:
31:
19:
1857:
1850:
1826:
1819:
1795:
1788:
1768:
1761:
1743:
1736:
1728:
1708:
1700:
1680:
1673:
1653:
1646:
1626:
1619:
1604:
1597:
1592:
1572:
1565:
1545:
1538:
1509:
1501:
1477:
1470:
1450:
1443:
1419:
1412:
1392:
1385:
1374:. Retrieved
1365:
1315:
1297:
1291:
1283:
1279:trajectories
1277:
1262:
1253:
1246:Please help
1242:
1231:
1210:
1204:
1178:
1169:
1154:Please help
1142:
1103:
1099:
1094:
1084:
1069:
1062:
1047:
1035:
1026:
1023:
1018:
980:
975:
972:
968:
942:
929:acceleration
920:
916:
914:
705: /
701: /
699:displacement
697: /
559:
558: /
520:Displacement
458:
449:
443:Formulations
430:Virtual work
370: /
310:Acceleration
303:Fundamentals
113:edit summary
104:
84:
54:
46:
1801:CUP Archive
1307:drags light
1250:if you can.
1104:generalized
1038:, pp. 78-79
841:von Neumann
508:Core topics
1882:Categories
1753:B000GQB02A
1609:MIT essays
1518:. p.
1425:Birkhäuser
1376:2023-09-06
1172:April 2017
1079:See also:
1027:fictitious
1009:See also:
776:d'Alembert
756:Maupertuis
719:Scientists
601:Rigid body
275:Kinematics
51:in Spanish
1207:Euclidean
1143:does not
987:spacetime
821:Liouville
703:frequency
623:Vibration
340:potential
265:Continuum
260:Celestial
237:Textbooks
131:talk page
83:Consider
1546:Dynamics
1321:See also
1256:May 2024
1232:require
1032:—
963:and the
876:Category
801:Hamilton
786:Lagrange
781:Clairaut
746:Horrocks
707:velocity
677:Pendulum
665:reactive
637:Rotation
606:dynamics
556:Inertial
542:Friction
425:Velocity
400:Momentum
280:Kinetics
270:Dynamics
248:Branches
232:Timeline
107:provide
1302:Machian
1234:cleanup
1164:removed
1149:sources
999:gravity
991:locally
923:) is a
836:Koopman
796:Poisson
791:Laplace
736:Huygens
731:Galileo
576: (
515:Damping
368:Inertia
362:Impulse
335:kinetic
285:Statics
255:Applied
227:History
129:to the
111:in the
53:.
1865:
1838:
1807:
1776:
1751:
1721:
1688:
1661:
1634:
1580:
1553:
1526:
1489:
1458:
1431:
1400:
874:
826:Appell
811:Cauchy
806:Jacobi
751:Halley
741:Newton
726:Kepler
578:linear
574:Motion
420:Torque
395:Moment
330:Energy
320:Couple
1050:Earth
955:) to
935:. An
831:Gibbs
816:Routh
771:Euler
410:Speed
405:Space
347:Force
74:DeepL
1863:ISBN
1836:ISBN
1805:ISBN
1774:ISBN
1749:ASIN
1719:ISBN
1686:ISBN
1659:ISBN
1632:ISBN
1578:ISBN
1551:ISBN
1524:ISBN
1487:ISBN
1456:ISBN
1429:ISBN
1398:ISBN
1147:any
1145:cite
1118:here
1013:and
415:Time
378:Mass
105:must
103:You
67:View
1605:V'
1158:by
1112:of
1095:not
943:In
76:or
1884::
1830:.
1799:.
1727:.
1717:.
1715:23
1522:.
1481:.
1423:.
1313:.
1120:.
1060:.
1001:.
971:=
915:A
1871:.
1844:.
1813:.
1782:.
1755:.
1694:.
1667:.
1640:.
1600:Ω
1598:V
1586:.
1559:.
1532:.
1520:4
1495:.
1464:.
1437:.
1406:.
1379:.
1305:"
1269:)
1263:(
1258:)
1254:(
1185:)
1179:(
1174:)
1170:(
1166:.
1152:.
976:a
973:m
969:F
904:e
897:t
890:v
580:)
199:t
196:d
190:p
186:d
180:=
175:F
140:.
133:.
20:)
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.