Best Answer

T^2 is proportional to r^3 (or a^3).

More exactly, T^2 = (2*pi)^2/(GM)*r^3 (or a^3).

Where...

- T is the period
- r is the radius of the orbit
- a is the length of the semimajor axis of the orbit
- pi is about 3.142
- G is the gravitational constant 6.67x10^-11
- M is the mass of the planet

Q: According to Kepler's third law the square of the planets period in years is?

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He was the first person to suggest that the planets don't move in circles and the planets don't always move at the same speed all the time. He and Isaac Newton made more accurate predictions than the other scientists e.g. Artistotle, Ptolemy, Copernicus, Tycho Brahe.

Newton derived Keplars findings from Newton's Theory of Gravity. Thus, newton 'explained' the basis for Keplars findings and extended them.

Yes, according to Kepler's third law of Planetary Motion.

The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

Keplar showed that there is a relationship between the planets distance from the sun and the time taken for one orbit (planets year). This is described in Keplars third law; the square root of the time taken to orbit the sun is proportional to the cube of the average distance between the sun.

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There is a relationship between the planets distance from the sun and the time taken for one orbit (planets year), described in Keplers third law. The square root of the time taken to orbit the sun is proportional to the cube of the average distance between the sun.

He was the first person to suggest that the planets don't move in circles and the planets don't always move at the same speed all the time. He and Isaac Newton made more accurate predictions than the other scientists e.g. Artistotle, Ptolemy, Copernicus, Tycho Brahe.

Because according to Kepler's laws the orbital speed of a planet is proportional to the square root of the reciprocal of the distance: v = d-½.

Kepler's Laws of Planetary Motion:1] Each planet moves in an elliptical orbit with the sun at one focus2] The line form the sun to any planet sweeps out equal areas of space in equal time intervals3] The squares of the times of revolution (days, months or years) of the planets are proportional to the cubes of their average distances from the sun.

Newton derived Keplars findings from Newton's Theory of Gravity. Thus, newton 'explained' the basis for Keplars findings and extended them.

Yes, according to Kepler's third law of Planetary Motion.