Kepler's first law: the orbit of every planet is an ellipse wth the Sun at one of the two foci.
Kepler's second law: a line joining a planet and the Sun sweeps out equal areas during equal intervals of time.
Kepler's third law: the square of the orbital period of a planet is proportional to the cube of the semi-major axis of its orbit.
\(P^{2} \propto a^{3}\)
\(P = orbital \, period \, of \, a \, planet \)
\(a = semi-major \, axis \, of \, the \, orbit \)
In the case of a circular orbit:
\(4 \pi^{2} / P^{2} = G \cdot M / R^{3} \)
\(M \, is \, the \, mass \, of \, the \, larger \, body \)
\(R \, is \, the \, distance \, between \, the \, centres \, of \, the \, two \, masses\)
Reference:
http://en.wikipedia.org/wiki/User:Gonfer
No comments:
Post a Comment