Kepler's third law means that all orbits with the same semimajor axis have the same period. This applies to both perfectly circular orbits and highly eccentric ones because-

In geometry, the major axis of an ellipse is its longest diameter: a line segment that runs through the center and both foci, with ends at the two most widely separated points of the perimeter.

Kepler’s Third Law P2 = a3 P = sidereal period in years a = semi-major axis in AU AU = Astronomical Unit = Average distance between the Earth and the Sun The closer a planet is to …

Interestingly, there is no formula to calculate the perimeter of an ellipse. This was discussed recently by Matt Parker on Stand Up Maths, where I first found out about it.

Aug 15, 2023 · To find the period of an elliptical orbit, we can use Kepler's Third Law of planetary motion. This law states that the square of the orbital period (T) is proportional to the cube of …

Kepler’s Laws The orbital paths of the planets are elliptical (not circular) with the Sun at one focus of the ellipse. An imaginary line connecting the Sun to any planet sweeps out equal areas of the …

The semi-major axis, 3.78 AU is found from the equation for the period. This is one-half the sum of the aphelion and perihelion, giving an aphelion distance of 4.95 AU.

Definition and properties of the semi-major and semi-minor axes of an ellipse, with formulae to calculate their length

Earth orbits in the shape of a/an "ellipse" around the Sun. The mathematical form of Kepler's third law measures the period in years and the "semimajor axis" in astronomical units (AU)

The period of a planet's orbit squared is proportional to its average distance from the sun cubed. The average distance of a planet from the sun is equal to its semimajor axis (a).