1.

In the following figure, an orbit of a planet around the Sun (S) has been shown. AB and CD are the distances covered by the planet in equal time. Lines AS ad 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?(b) Write the law regarding the area swept.(c) Write the law T2 ∝ r3 in your words.(Schematic diagram)

Answer»

(a) From the given description we understand Kepler’s three laws.

(b) Kepler’s law of areas: The line joining the planet and the Sun sweeps equal areas in equal intervals of time.

(c) Kepler’s law of periods: The square of the period of revolution of a planet around the Sun is directly proportional to the cube of the mean distance of the planet from the Sun.



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