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![[Post New]](/templates/default/images/icon_minipost_new.gif) 9 Nov 2007 11:10:27 IST
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A planet of mass m rotates around a star of mass M .The time period of revolution is
T , while the average distance of the planet from the star is 'a' . It is known that there
exists a relationship between them ; find it .Assume the dimensional expression for
G .
the answer to this is
T =  ( G M ) - 1/2 a3/2
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15 Nov 2007 20:56:33 IST
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ji please help with this prob !!!
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The one man Dynasty !!!!!!!!
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15 Nov 2007 22:19:21 IST
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Hi Vincent
Let m and M be the masses of the planet and the star respectively
Let F be the force between the planet and the star
F=GmM/a2
Let v be the average vel. of the planet around the sun.
F=mv2/a
Equating both,
v=(GM/a)1/2
T = distance covered in 1 revolution / average speed of plate
= 2 a/v
T=2(GM)-1/2 (a) 3/2 =  (GM)-1/2 (a) 3/2 where = 2
Regards.
Rooney
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16 Nov 2007 21:36:41 IST
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Thank you rooney .Sir aap bhi kuch bolo !!!!!!
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18 Nov 2007 00:46:52 IST
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Perfect answer rooney. Good work
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Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi |
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