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

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AL2006
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:

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).

[tex]P^2=\frac{4\pi^2 a^3}{GM}[/tex]

It was derived from equating gravitation force with centripetal force:

[tex]\frac{GMm}{a^2}=\frac{mv^2}{a}[/tex]

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