Gravitational Radiation Calculation from Rotating Rods

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 3K views
Stas
Messages
3
Reaction score
0
anybody know link where i can see how to calculate the power of the gravitational radiation emitted from a rotating rod?
 
Physics news on Phys.org
MTW's "Gravitation" gives a formula on pg 980.

In geometric units, the formula is:

[tex]L_{GW} = \frac{2}{45} M^2 l^4 \omega^6[/tex]

where M is the mass of the bar
l is the length of the bar
[itex]\omega[/itex] is the angular frequency of rotation of the bar, [itex]\frac{2 \pi}{T}[/itex], where T is the period of rotation of the bar.

Converting this to standard units we get

[tex]L_{GW} =\frac{2}{45} \frac{G}{c^5} M^2 l^4 \omega^6[/tex]

the added constants are c, the speed of light, and G, the gravitational constant.
 
Last edited: