Register to reply 
Galaxy rotation and Kepler law 
Share this thread: 
#1
Jul2008, 06:15 PM

P: 691

According to Kepler third law, the ratio of the squares of the periods of any two planets is equal to the ratio of the cubes of their average distances from the sun.
If I can apply this to the rotaion of galaxy, meaning stars in inner part will orbit much faster than the outer ones. But it seems not. Anyonoe please explain to me this. Thanks. 


#2
Jul2008, 07:25 PM

Sci Advisor
PF Gold
P: 1,542

That's because the Sun is a fixed mass at the center of our solar system. But as you get further from the galactic core, there are more stars interior to you, adding to the mass that you would use to compute your orbital velocity.
Technically, this happens in the solar system. Earth orbits the combined mass of the Sun, Mercury and Venus. So it orbits a little faster than it would if Mercury and Venus did not exist. But since Mercury and Venus are insignificant compared to the Sun, their effect is negligible. But in the galaxy, the additional mass interior to you as you move out is not negligible. 


#3
Aug308, 05:13 PM

P: 185

The reason appears to be the presence of vast amounts of dark matter surrounding galaxies; the gravitational effect being the explanation for the fasterthanexpected orbital velocities of outer systems. My reading suggests that the ratio of dark matter to luminescent matter is in the ballpark of 100:1. 


#4
Aug1408, 04:31 AM

P: 10

Galaxy rotation and Kepler law
As you know Kepler's laws are true for simple garvitional fields , but talking about galaxies and stars in it , the gravity isn't the same as the gravity between two "very small" objects.
To sum up what Tony873004 and WhyIsItSo said , in situations of this kind the force is: Kr instead of K/r^{2}! just for M_{g} use 4[tex]\pi[/tex]r^{2}[tex]\rho[/tex] to get what I'm saying Thanks a lot! 


Register to reply 
Related Discussions  
Galaxy rotation  Astronomy & Astrophysics  12  
Galaxy rotation curve: Applicability of formula  Advanced Physics Homework  0  
Galaxy defy Kepler? True or bull?  Astronomy & Astrophysics  21  
Galaxy Rotation Curves Without NonB. Dark Matter  Astronomy & Astrophysics  1  
Dark matter affecting galaxy rotation...  Astronomy & Astrophysics  4 