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What is kepler's second law of …

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What is kepler's second law of motion

    • Posted by M M 5 years, 5 months ago

    CBSE > Class 07 > Science
    • 1 answers

    Gaurav Seth 5 years, 5 months ago

    Kepler’s 2nd law: Law of Areas

    Statement:-The line that joins a planet to the sun sweeps out equal areas in equal intervals of time.

    • Area covered by the planet while revolving around the sun will be equal in equal intervals of time. This means the rate of change of area with time is constant.
    • Suppose position and momentum of planet is denoted by ‘r’ and ‘p’ and the time taken will be Δt.
    • ΔA=1/2xrxvΔt (where vΔt is distance travelled by a planet in Δt time.)
    • ΔA / Δt =1/2(rxv)
    • where
    • (Linear momentum) p=mv or we can write as
    • v =p/m
    • =1/2m(rxp)
    • =1/2 L/2m where L= angular momentum(It is constant for any central force)

    ΔA / Δt = constant (This means equal areas are covered in equal intervals of time).

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