TY - JOUR
T1 - Leonhard Euler and the mechanics of rigid bodies
AU - Marquina, J. E.
AU - Marquina, M. L.
AU - Marquina, V.
AU - Hernández-Gómez, J. J.
N1 - Publisher Copyright:
© 2016 IOP Publishing Ltd Printed in the UK.
PY - 2016/10/19
Y1 - 2016/10/19
N2 - In this work we present the original ideas and the construction of the rigid bodies theory realised by Leonhard Euler between 1738 and 1775. The number of treatises written by Euler on this subject is enormous, including the most notorious Scientia Navalis (1749), Decouverte d'un noveau principe de mecanique (1752), Du mouvement de rotation des corps solides autour d'un axe variable (1765), Theoria motus corporum solidorum seu rigidorum (1765) and Nova methodus motu corporum rigidorum determinandi (1776), in which he developed the ideas of the instantaneous rotation axis, the so-called Euler equations and angles, the components of what is now known as the inertia tensor, the principal axes of inertia, and, finally, the generalisation of the translation and rotation movement equations for any system.
AB - In this work we present the original ideas and the construction of the rigid bodies theory realised by Leonhard Euler between 1738 and 1775. The number of treatises written by Euler on this subject is enormous, including the most notorious Scientia Navalis (1749), Decouverte d'un noveau principe de mecanique (1752), Du mouvement de rotation des corps solides autour d'un axe variable (1765), Theoria motus corporum solidorum seu rigidorum (1765) and Nova methodus motu corporum rigidorum determinandi (1776), in which he developed the ideas of the instantaneous rotation axis, the so-called Euler equations and angles, the components of what is now known as the inertia tensor, the principal axes of inertia, and, finally, the generalisation of the translation and rotation movement equations for any system.
KW - Classical mechanics
KW - Dynamics of rigid bodies
KW - History of physics
UR - http://www.scopus.com/inward/record.url?scp=84998644049&partnerID=8YFLogxK
U2 - 10.1088/0143-0807/38/1/015001
DO - 10.1088/0143-0807/38/1/015001
M3 - Artículo
AN - SCOPUS:84998644049
SN - 0143-0807
VL - 38
JO - European Journal of Physics
JF - European Journal of Physics
IS - 1
M1 - 015001
ER -