# Satellite/Planetary Orbits

All planetary orbits contain 5 unusually stable points. These points are particularly important because they allow man-made satellites to orbit the Sun with a period equal to that of Earth’s. 3 of these points are collinear. Suppose that is the distance between the centers of mass of Earth and the Sun. Find the distance from Earth’s center of mass to either one of the other stable points in the Earth-Sun system in terms of...

(I'm not looking for a full solution; I just want to know what these points are called)

What are these points it talks about, and what's their mathematical relation to Earth's orbit?

This still isn't homework; I'm just looking for the name of these points.

• I think only two of the 5 Lagrange points support stable orbits. These are the non-co-linear ones. Asteroids trapped into such orbits are called Trojans and Greeks, respectively. Apr 12, 2014 at 20:17
• Does look a lot like homework, with that final quoted sentence there... Apr 14, 2014 at 7:10
• @Rory It isn't; it's a grab-bag problem set that I downloaded. It asks all sorts of questions ranging from Calculus to Astronomy to LaTeX to Geek Trivia. Apr 18, 2014 at 3:11
• @KevinOrr 'Homework' is anything that asks us to do a question for you, not necessarily true homework. Although this question is more asking about elements of a question. May 4, 2014 at 3:32
• @damnedtruths well, I didn't actually need a solution; once I knew what to search, I could read up on it myself and then work the problem out myself. I didn't know what to even search for in the first place, as I didn't what they were called. But I'll edit the question to be more clear. Jun 17, 2014 at 20:25