Question

state Kepler's law of planetary motion and deduce them

Answer 1

1)The orbit of a planet is an ellipse with the sun at one of the foci.

Answer 2

Hola,....."

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QUESTION:- State Kepler's law of planetary motion and deduce them

ANSWER:- first of all I would like to write about the 3 laws


=> KEPLERS LAWS

1). Law of orbits

2). Law of areas

3). Laws of periods


=> LAWS OF ORBITS

all planets moves in elliptical orbit with the sun situated at one of the foci of the ellips

=> LAWS OF AREAS

the line that joins any planet to the sun sweeps equal areas In equal intervals of time

Here , aerial Velocity is constant


=> LAWS OF PERIODS OR KEPLERS THIRD LAW

the square of time period of revolution of a planet is proportional to the cube of the semi major axis of ellipse traced out by the planet

T^2 proportional to a^3

KEPLERS THIRD LAW / LAWS OF PERIODS CAN BE DEDUCED
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Centrepetal force = Gravitational force


mr w^2 =GMm /r^2

Mr (2pi/T)^2=GMm /r^2

T^2=(4pi/GM)r^3

That is T^2. Proportional to r^3

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Hope it helps