en>ChrisGualtieri: General Fixes using AWB

2013-10-24T00:51:41Z

General Fixes using AWB

← Older revision		Revision as of 02:51, 24 October 2013
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	~~Hi there~~, ~~I am Andrew Berryhill~~. ~~To climb~~ is ~~something she would never give up~~. ~~He functions as a bookkeeper~~. ~~My wife and I reside in Kentucky~~.<br><br>~~My homepage~~ - ~~best psychics (~~[~~http~~:/~~/checkmates~~.~~co.za~~/~~index.php?do~~=~~/profile~~-~~56347~~/~~info~~/ ~~checkmates~~.~~co.za~~])		{{Orphan\|date=February 2009}}
			In [[astrophysics]], the '''Darwin–Radau equation''' gives a relation between the third principal [[moment of inertia]] of the [[Earth]] and its rotational speed and shape. It is assumed that the rotating Earth is in [[hydrodynamic equilibrium]] and is an [[ellipsoid of revolution]]. The Darwin–Radau equation states<ref>{{cite journal \| last = Bourda \| first = G \| coauthors = Capitaine N \| year = 2004 \| title = Precession, nutation, and space geodetic determination of the Earth's variable gravity field \| journal = Astronomy and Astrophysics \| volume = 428 \| pages = 691–702 \| doi = 10.1051/0004-6361:20041533 \| bibcode=2004A&A...428..691B\|arxiv = 0711.4575 }}</ref>

			:<math>
			\frac{C}{MR_{e}^{2}} = \frac{2}{3\lambda} = \frac{2}{3} \left( 1 - \frac{2}{5} \sqrt{1 + \eta} \right)
			</math>

			where ''M'' and ''R<sub>e</sub>'' represent the mass and mean equatorial radius of the Earth. Here λ is the [[Jean le Rond d'Alembert\|d'Alembert]] parameter and the [[Rodolphe Radau\|Radau]] parameter η is defined as

			:<math>
			\eta = \frac{5q}{2\epsilon} - 2
			</math>

			where ''q'' is the [[geodynamical constant]]

			:<math>
			q = \frac{\omega^{2} R_{e}^{3}}{GM} \approx 3.461391 \times 10^{-3}
			</math>

			and ε is the [[geometrical flattening]]

			:<math>
			\epsilon = \frac{R_{p} - R_{e}}{R_{e}}
			</math>

			where ''R<sub>p</sub>'' is the mean polar radius of the Earth.

			==References==

			{{reflist\|1}}

			{{DEFAULTSORT:Darwin-Radau equation}}
			[[Category:Astrophysics]]
			[[Category:Earth]]


			{{physics-stub}}

en>Violetriga at 14:08, 23 August 2012

2012-08-23T14:08:16Z

New page

Hi there, I am Andrew Berryhill. To climb is something she would never give up. He functions as a bookkeeper. My wife and I reside in Kentucky.<br><br>My homepage - best psychics ([http://checkmates.co.za/index.php?do=/profile-56347/info/ checkmates.co.za])

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en>ChrisGualtieri: General Fixes using AWB

en>Violetriga at 14:08, 23 August 2012