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According to kepler, the line joining a ...

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

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The correct Answer is:
equal areas
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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?

The orbit of a planet is an ellipse, line joining the planet and the sun sweeps equal areas in equal intervals of time F=(Gm_1m_2)/(r^2) , T^2 prop R^3

Knowledge Check

  • 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 to Kepler , planets move in

    A
    Circular orbits around the sun
    B
    Eliptical orbits around the sun with sun at exact centre .
    C
    Straight lines with constant velocity
    D
    Eliptical orbits around the sun with sun at one of its foci

  • 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

    A
    total acceleration is zero
    B
    tangential acceration is zero
    C
    longitudinal acceraleration is zero
    D
    radial acceleration is zero

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    According to Kelper's second law, the line joining the planet and the Sun ………………. In equal intervals of time.

    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 ______________.

    In Fig. the line that join a planet to the sun sweep out areas A_(1),A_(2),A_(3) in time intervals 6 weeks, 3 weeks and 2 weeks respectively. How are A_(1),A_(2),A_(3) ?realted

    In the following figure, an orbit of a planet around the Sun (S) has been shown. AB and CD are the distance convered by the planet in equal time. Lines AS and CS sweep equal areas in equal intervals of time. Hence, areas ASB and CSD are equal. (a) Which laws do we understand from the above description?

    Assertion : If the law of gravitation becomes inverse cube law even then a line joining the sun the planet sweeps equal areas in equal time intervals . Reason : A planet moves in an alliptical path .

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