Calculate the orbital speed of matter in an accretion disk just above the surface of .......
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Calculate the orbital speed of matter in an accretion disk just above the surface of .......

[From: ] [author: ] [Date: 12-08-14] [Hit: ]
Could someone walk me through this? I am good with math, I just need to know the formulas and where you get the numbers. Any help is appreciated!You supplied M and D. G is the gravitational constant: 6.......
Calculate the orbital speed of matter in an accretion disk just above the surface of a 0.6-solar-mass, 15,000-km-diameter white dwarf.
Could someone walk me through this? I am good with math, I just need to know the formula's and where you get the numbers. Any help is appreciated! Thanks =)

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vₒ = √(GM/r)

You supplied M and D. G is the gravitational constant: 6.67384[-11] N (m/kg)²

One solar mass is 1.22[30] kg so M = 0.6 • 2[30]* kg = 1.2[30] kg

D must be converted to radius in meters: r = 7.5[6] m

The rest is arithmetic.

vₒ = √(6.67[-11] • 1.2[30]/7.5[6]) = 3.3[6] m/s.

*0.6 sets the significant digits, an extra digits or two merely reduce rounding errors.

.

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A good approximation would be Kepler's third law (Newton's version).

Mass = distance^3 / period^2
Mass in solar units
distance in AU
period = years

For example: consider a white dwarf with mass = 0.6 solar mass, and radius = 9800 km. The radius is 65.5 x 10^-6 AU. I get the period = 21.6 seconds. So the speed is 2 pi 9800 / 21.6 km/s = 2,851 km/s.

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You've got a 15000 Km dia orbit and a mass.
(You'll need 'solar mass' in Kg.)
Plug that into Newtons gravity equation for the acceleration and
geometry gives the velocity.
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