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Kepler's Law

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Kepler’s laws of Planetary Motion

Kepler's Law states that the planets move around the sun in elliptical orbits with the sun at one focus. There are three different Kepler’s Laws which are Law of Orbits, Areas, and Periods. Let us know about them one by one.

Kepler Three Law:

1.   Kepler Law of Orbits the Planets move around the sun in elliptical orbits with the sun at one of the focii.

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Match the following {:(,"Column-I",,"Column-II"),("(A)","Kepler's first law","(p)",T^(2)propr^(3)),("(B)","Kepler's second law","(q)","Areal velocity is constant"),("(C)","Kepler's third law","(r)","Orbit of planet is elliptical"):}

Kepler's second law regarding the constancy of areal velocity of a planet is a consequence of the law of conservation of

Assertion: Kepler's second law can be understood by conservation of angular momentum principle. Reason: Kepler's second law is related with areal velocity which can further be proved to be used on coservation of angular momentum as (dA//dt)=(r^(2)omega)//2 .

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 ______________.

A : Kepler's third law of planetary motion is valid only for inverse square forces . R : Only inverse square forces are always central .

Statement I: The smaller the orbit of a planet around the Sun, the shorter is the time it takes to complete. Statement II: According to Kepler's third law of planetary motion, square of time period is proportional to cube of mean distance from Sun.

STATEMENT -1 : Kepler's second law is the consequence of law of conservation of angular momentum. STATEMENT -2 : In planetary motion, the momentum, angular momentum and mechanical energy is conserved. STATEMENT -3 : The gravitational field of a circular ring is maximum at a point upon axis at distance (R )/(sqrt(2)) from the centre, where R is the radius of ring.