A planet is revolving around the sun in an elliptical orbit having eccentricity e(= (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.

Question

A planet is revolving around the sun in an elliptical orbit having eccentricity e(= (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. <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-jaekufxnhbdc.png" /> (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-jaekufxnny71.png" /> t=(T/π a b)((π a b/4) + (1/2) a b e) t=T((1/4) + (e/2 π )) t=18((1/4) + (1/8)) t=6 months

Q. 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.

$t = \frac{T}{πab} (\frac{πab}{4} + \frac{1}{2} ab e)$
$t = T (\frac{1}{4} + \frac{e}{2 π})$
$t = 18 (\frac{1}{4} + \frac{1}{8})$
$t = 6$ months

Q. A planet is revolving around the sun in an elliptical orbit having eccentricity e(=4π​) . 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=πabT​(4πab​+21​abe) t=T(41​+2πe​) t=18(41​+81​) t=6 months

Q. 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.

$t = \frac{T}{πab} (\frac{πab}{4} + \frac{1}{2} ab e)$
$t = T (\frac{1}{4} + \frac{e}{2 π})$
$t = 18 (\frac{1}{4} + \frac{1}{8})$
$t = 6$ months