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According to Kepler's second law, the ra...

According to Kepler's second law, the radius vector to a planet from the Sun sweeps out equal areas in equal intervals of time. This law is a consequence of the conservation of ______________.

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`(dA)/(dt)=L/(2M) =` constant, because angular momentum of planet (`L`) about the centre of the sun is constant. Thus, this law comes from law of conservation of angular momentum.
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While studying the theory of planetary motion, kepler established three laws. According to kepler's second law, the line joining a planet to the sun sweeps out equal areas in equal intervals of time, i.e., the areal velocity of the planet around the sun is constant. This led him to conlude from the sun. Read the above passege and answer the following questions : (i) What is the basis of kepler's second law? (ii) Mercury is closer to the sun than the earth. Will time period of mercury be less or more than one year ? Why ? (iii) What value of life do you learn from kepler's second law?

According to kepler, the line joining a planet to the sun sweeps out……..in equal intervals of time.

Knowledge Check

  • According to Kepler's second law of planetary motion,

    A
    the line joining the centers of a planet's orbit and the planet covers equal areas in equal intervals of time.
    B
    the line joining the centers of sun and the planet covers equal area in equal intervals of time.
    C
    a planet covers equal distances along its orbit in equal intervals of time.
    D
    area swept by the average radius of orbit of each planet in the solar system is equal.

  • According to Kepler's second law, line joining the planet to the sun sweeps out equal areas in equal time intervals. This suggests that for the planet

    A
    radial acceleration is zero
    B
    tangential acceleration is zero
    C
    transverse acceleration is zero
    D
    All

  • According the Kepler's law, the areal velocity of a planet around the sun, always

    A
    increases
    B
    decreases
    C
    remains constant
    D
    first increases and then decreases

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    Kepler's Second Law is a consequence of

    Kepler second law sates that the straight line joining the planet to the sun sweeps out equal areas in equal times this statement is equivalent to saying that

    According to Kepler's Law, the areal velocity of the radius vector drawn from the Sun to any plant always.

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