Kepler's Laws of Planetary Motion

Author:Embibe Experts
Physics
IMPORTANT

Important Questions on Kepler's Laws of Planetary Motion

HARD
IMPORTANT

A planet revolves about the sun in elliptical orbit. The areal velocity dAdt of the planet is 4.0×1016 m2 s-1. The least distance between planet and the sun is 2×1012 m. Then the maximum speed of the planet in km s-1 is-

EASY
IMPORTANT

Two identical planets are orbiting around a star in elliptical paths having their semi-major axes in the ratio of 1: 9. If life of man on 1st planet is 80 years then what will be his life on 2nd planet in terms of that planet's year? (Approximate the answer to the nearest integer)

HARD
IMPORTANT

A comet (assumed to be in an elliptical orbit around the sun) is at a distance of 0.4 AU from the sun at the perihelion. If the time period of the comet is 125 years, what is the aphelion distance? AU: astronomical unit.

MEDIUM
IMPORTANT

Supposing Newton's law of gravitation for gravitation forces F1 and F2 between two masses m1 and m2 at positions r1 and r2 read

F1=-F2=r12r123GM02m1m2M02n

where M0 is a constant of the dimension of mass, r12=r1-r2 and n is a number? In such a case 

HARD
IMPORTANT

A planet moves around the sun (mass = Ms) in an elliptical orbit such that its minimum and maximum distance from the sun are r and R respectively. The period of revolution of this planet around the sun is