Question

Kepler's third law is founded on a mathematical formula that is based on the inverse relationship between a planet's orbital velocity and its distance from _____. the sun the earth the moon some other entity

Answer 1

Answer:

Kepler's third law is founded on a mathematical formula that is based on the inverse relationship between a planet's orbital velocity and its distance from the Sun.        

Explanation:

According to Kepler's third law of planetary motion, the square of period of orbit of a planet (P) is directly proportional to the cube of distance from the Sun (a).

$P^2=\frac{4\pi^2 a^3}{GM}$

It was derived from equating gravitation force with centripetal force:

$\frac{GMm}{a^2}=\frac{mv^2}{a}$

There is inverse relation between orbital velocity (v) and its distance from the sun (r)

Answer 2

Kepler's third law is founded on a mathematical formula that is based on
the inverse relationship between a planet's orbital velocity and its distance
from the sun.