Whats kepler's 3rd law ( farmatic law)

Question

whats kepler's 3rd law ( farmatic law)

Answer 1

Three laws, determined by Johannes Kepler, that describe the motions of planets in their orbits: the orbits of the planets are ellipses with the sun at a common focus; the line joining a planet and the sun sweeps over equal areas during equal intervals of time; the squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.  

Answer 2

Johannes  Kepler (1571 - 1630), by trial and error over a period of many years, established three laws of planetary motion that fitted the enormous amount of data obtained by Tycho Brahe  (1546 - 1601) through painstaking and accurate observation.

Kepler's third law of planetary motion is: -

The squares of the periods of revolution of the planets are proportional to the cubes to the cubes of the major axis of the ellipses.

Or

T² œ a³

Where 'T' is the planets orbital period and 'a' is the semi-major axis of the elliptical orbit.

Furthermore, it may be shown that in terms of Newton's law of gravitational attraction, Kepler's third law may be written down as: -

T² =4π²a³

......_____

.....G(M + m)

Where 'M' is the mass of the focus object, the central star, and 'm' is the mass of the orbiting planet.

Answer 3

Kepler's Third Law is that The square of the year of an orbit is related to half the major axis of the orbit cubed.

Answer 4

Period proportional to (orbit semimajor axis)^3/2; or roughly to (radius)^3/2. A consequence, as Newton showed, of the inverse square law for gravity. See Wikepedia.