State the Kepler's laws.
Answers
# The orbit of a planet is an ellipse with the sun at one of the 2 foci
# A line segment joining a planet and the sun sweeps out equal areas during equal intervals of time
# The square of the orbital of a planet is proportional to the cube of semi major axis of its orbit
KEPLER'S LAWS ::
❇There are three main laws of Kepler
❇Kepler's law mainly states that the planets move around the sun in elliptical orbits With the sun at one focus.
Kepler's first law ::
✴This law states that the planetary orbits follows the elliptical paths.
❇Proof for Kepler's first law :
✴The orbit is in fact an elipse if the gravitational force Is inverse square.
✴F=GMm/r2
✴this force acts in a radial inward direction..
Kepler's second law ::
✴This law states that areas swept out by a planet during equal intervals must be identical..
Proof for Kepler's second law :
✴The highlights in the second law is the generality of the sweeping out area rule for motion under any central force.
Kepler's Third law ::
✴This law states that the square of Time period of orbit is directly proportional to the cube of semi major axis of its orbital..
Proof for Kepler's third law :
✴Mathematically it is proved by the formula
❇t2/r3=K ❇
Where K=constant .