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A planet revolves in an ellipticle orbit...

A planet revolves in an ellipticle orbit around the sun. the semimjor and semiminor axis are `a` and `b`. How time-period is related with them?

Text Solution

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`T^(2) prop a^(3)`.
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Knowledge Check

  • A planet revolves in an elliptical orbit around the sun. The semi-major and minor axes are a and b , then the time period is given by :

    A
    `T^(2) prop b^(3)`
    B
    `T^(2) prop ((a + b)/(2))^(3)`
    C
    `T^(2) prop a^(3)`
    D
    `T^(2) prop ((a - b)/(2))^(3)`

  • For motiion of planets in ellipticla orbits around the sun the central force is

    A
    the force on the plantet along the vector joining the sun and the planet
    B
    the force on the sun along the vector joining the sun and the other focus of the ellipse
    C
    the force on the planet along the line joining focus of the ellipse
    D
    none of the above

  • A planet is revolving in an elliptical orbit around the sun as shown in the figure. The areal velocity (area swapped by the radius vector with respect to sun in unit time) is:

    A
    `1/4r_(2)v_(2)`
    B
    `1/2v_(1)v_(1)`
    C
    `1/2(v_(1)r_(1)^(2))/(r_(2))`
    D
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