Question:

Is it true that if put saturn in a giant tub it will float??

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isisssssssssssss oiitittttttttttttttttttttttttttttttttttt... booba

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  1. Find out by watching the satellites go around.

    rho = M/V

    V = (4/3) pi R^3

    M = 4 pi^2 r^3 / (G P^2)

    rho = 3 pi r^3 / ( R^3 G P^2)

    rho = (3 pi / G) (r / R)^3 / P^2

    rho = [ 1.412375E+11 kg s^2 m^-3 ] ( r / R )^3 / P^2

    Where...

    r = the orbital radius of the satellite

    R = Saturn's average radius

    P = the orbital period of the satellite

    rho = the density of Saturn

    Notice that you don't need r or R in absolute terms. You only need their ratios. So what you do is measure the time interval from one greatest eastern elongation to the next for each satellite you can see, and also measure the number of "Saturn diameters" that each satellite is from the center of Saturn's disk in your telescope field of view. You will need a special instrument called a filar micrometer to do that accurately. And use WWV to measure the observation times. You might also note the tilt of Saturn's rings, and assume that the moons orbit in the same plane.

    You can get the density of Saturn just by watching the moons as they go around (and making the aforementioned measurements).


  2. The bigger problem would be getting such a large tub to Saturn.


  3. Yes.Its not as dense as water.But the only problem is,you cant find a water body big enough for saturn to fit in.Lets face it,it is a lot bigger than earth.

  4. They say that because Saturn has very less density, even less so than water. I'm not sure if it's entirely true though.... Why don't you try it?  

  5. It is said so. Apparently it is less dense than water, so if you do find a tub with water big enough to hold Saturn, it will float, although the general idea is that it will float in a sea of water (considering that sea water is more dense that normal water due to salt content). Let me know if you find one, I want to see it float too.  

  6. yep, it's density is below 1 g/cm^3

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