From 1564deaf98acc45cd455aaf7088657a8aca75bda Mon Sep 17 00:00:00 2001 From: eggy Date: Mon, 23 Nov 2020 12:02:51 -0500 Subject: [PATCH] phys: kepler --- docs/sph3u7.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/docs/sph3u7.md b/docs/sph3u7.md index dc4f31f..dae3354 100644 --- a/docs/sph3u7.md +++ b/docs/sph3u7.md @@ -617,6 +617,9 @@ $$\vec{F}_G=\Sigma\vec{F}_c$$ So the orbital speed of a satellite must be independent of its own mass, such that: $$v=\sqrt{\frac{GM}{r}}$$ +Additiionally, Kepler's third law, derived from centripetal force and the universal law of gravitation, states that the square of the period of an orbit is proportioanl to the cube of the radius. +$$T^2 \propto r^3$$ + A **geosynchronous** orbit is one that returns to its original position relative to the orbitee after one rotation of the orbitee. A **geostationary** orbit is a geosynchronous orbit that always remains in the same position relative to the orbitee.