A planet is revolving around the sun in an elliptical orbit having eccentricity e ( = 4 π ) . If the time period of revolution is 16 months then find the time taken by the planet in going from A to B in months.

t = πab T ( 4 πab + 2 1 ab e ) ⇒ t = T ( 4 1 + 2 π e ) t = 16 ( 4 1 + 8 1 ) ⇒ t = 6 months

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Physics - Gravitation Question with Solution | TestHub

PhysicsGravitationKepler's LawMedium2 minQB

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A planet is revolving around the sun in an elliptical orbit having eccentricity e $(= \frac{π}{4})$ . If the time period of revolution is 16 months then find the time taken by the planet in going from A to B in months.

Answer:

6.00

Solution:

$t = \frac{T}{πab} (\frac{πab}{4} + \frac{1}{2} ab e) \Rightarrow t = T (\frac{1}{4} + \frac{e}{2 π})$

$t = 16 (\frac{1}{4} + \frac{1}{8}) \Rightarrow t = 6$ months

Stream:JEESubject:PhysicsTopic:GravitationSubtopic:Kepler's Law

⏱ 2mℹ️ Source: QB

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