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Uniformly Rotating Homogeneous Rings in Newtonian Gravity
- Publication Year :
- 2008
-
Abstract
- In this paper, we describe an analytical method for treating uniformly rotating homogeneous rings without a central body in Newtonian gravity. We employ series expansions about the thin ring limit and use the fact that in this limit the cross-section of the ring tends to a circle. The coefficients can in principle be determined up to an arbitrary order. Results are presented here to the 20th order and compared with numerical results.<br />Comment: 10 pages, 5 figures, minor corrections. This paper has be combined with arXiv:0802.0081 and published in MNRAS, see arXiv:0808.2612
- Subjects :
- Astrophysics
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0802.0078
- Document Type :
- Working Paper