If the radius of the orbit is half then the numbdr of days in 1 year will be?

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1 Answer
Shwetank Mauria
Aug 1, 2018

#129# days #2.9# hours

Explanation:

The relation between radius #r# of the orbit (here considered to be Earth) and number of days #t# (#365# days #5# hours or #365 5/24=8765/24#) is given by

#r_1^3/r_2^3=T_1^2/T_2^2# i.e. #rpropT^(2/3)# or #Tpropr^(3/2)#

Hence if radius is halved, it will become

#8765/24xx(1/2)^(3/2)#

= #8765/24xx1/2.828427#

= #129.12065#

or #129# days #2.9# hours

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