Physics, asked by shibu17, 1 year ago

A planet of mass m moves round the sun of mass M in a circular orbit of radius R with an angular velocity w. Show that in circular orbit of radius 4R round the sun,the angular velocity decreases to w/8

Answers

Answered by Vip111
23
Here it is.
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shibu17: Thank u very much it helped me to clear the concept
neha164: great
Answered by TRIPLESSS
1
W
  w=   \frac{2\pi}{w}  \\ f = mrw { }^{2}  = mr. \frac{2\pi}{w }  =  \frac{4\pi {}^{2} }{t {}^{2} } mr
Apply Kepler laws
t {}^{2} directly \: proprtion \: to \: r {3}

TRIPLESSS: the orbital speed of a planet is independent of the mass of the planet. It decreases with an increase in the radius of orbit.
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