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

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.

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.

Step-by-step 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=(4\pi^2 a^3)/(GM)`

It was derived from equating gravitation force with centripetal force:

`(GMm)/(a^2)=(mv^2)/(a)`

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