Question

A planet revolves around the sun with half as fast as the earth revolves around the sun. Determine its orbital size as compared to that of the sun​

Answer 1

Answer:

Time taken by the Earth to complete one revolution around the Sun,

T

e

=1 year

Time taken by the planet to complete one revolution around the Sun,T

P

=

2

1

T

e

=

2

1

year

Orbital radius of the planet = Rp

From Kepler’s third law of planetary motion, we can write:

(

R

e

R

P

)

3

=(

T

e

T

P

)

2

(

R

e

R

P

)=(

T

e

T

P

)

2/3

=0.5

(2/3)

=0.63

Hence, the orbital radius of the planet will be 0.63 times of the Earth.

Explanation:

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