Abstract
In Euler’s case, the principal moment of external forces acting on a rigid body relative to a fixed point is equal to zero \( {\mathbf{L}}_0^e=0 \). The dynamic Euler’s equations (1.27) assume the form:
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Magnus, K.: Kreisel. Theorie und Anwendungen. Springer, Berlin (1971)
Appel, P.: Traite de Mechanique Rationnelle. Gauthier-Villars, Paris (1953)
Grammel, R.: Der Kreisel. Seine Theorie und Seine Anwendungen. Erster Band. Izd-vo Inostr. Lit-ry, Moscow (1952) Russian translation from German
Bukhol’ts, N.N.: Fundamental Course of Theoretical Mechanics, vol. 2. Nauka, Moscow (1969) in Russian
Markeev, A.P.: Theoretical Mechanics. Nauka, Moscow (1990) in Russian
Zhukovsky, N.E.: Mechanics of a System. Rigid Body Dynamics. Oborongiz, Moscow (1939) in Russian
Landau, L.D., Lifshitz, E.M.: Course of Theoretical Physics, Mechanics, vol. 1. Pergamon Press, Oxford (1976)
Zhuravsky, A.M.: Handbook of Elliptical Functions. Academy of Science Press, Moscow (1941) in Russian
Jahnke, E., Emde, F., Losch, F.: Tables of Higher Functions. McGraw-Hill, New York, NY (1960)
Gradshtein, I.S., Ryzhik, I.M.: Tables of Integrals, Sums, Series and Products. Academic Press, San Diego, CA (2000)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Chernousko, F.L., Akulenko, L.D., Leshchenko, D.D. (2017). Motion of a Rigid Body by Inertia. Euler’s Case. In: Evolution of Motions of a Rigid Body About its Center of Mass. Springer, Cham. https://doi.org/10.1007/978-3-319-53928-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-53928-7_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-53927-0
Online ISBN: 978-3-319-53928-7
eBook Packages: EngineeringEngineering (R0)