Abstract
In the partial derivatives of X, the \( x_{i} \) are replaced by the periodic functions \( \varphi_{i} \). The \( \xi \) are thus determined by the linear equations with a right-hand side, whose coefficients are periodic functions .
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The digits placed to the upper right of the letters x and y in Eq. (8) are indices and not exponents.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Poincaré, H. (2017). Theory of Periodic Solutions. In: The Three-Body Problem and the Equations of Dynamics. Astrophysics and Space Science Library, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-52899-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-52899-1_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-52898-4
Online ISBN: 978-3-319-52899-1
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)