Does the aestoroid belt have any Lagarange points.?

Question

If possible please give image.
if no why does not it has any lagrange points.

Answer 1

Lagrange points apply only to binary systems. As far I am know, there are no asteroids in orbit around each other. Even if there were, I don't think the gravitational force would be strong enough, especially when you consider how the gravitational interference from other asteroids would disrupt the system.

The previous poster has a point about Lagrange points for asteroids with respect to the sun, but I am sure they would be unstable (and the poster basically says this) - the weak gravitational force from the asteroid, combined with all the other asteroids in the vicinity would mess things up.

Answer 2

The asteroid belt itself has no Lagrange points.

Lagrange points only exist with respect to a single small orbiting body and the large primary body that the smaller body orbits. The Lagrange points are the points at which the gravity of the smaller body and the gravity of the primary body are exactly balanced. In the case of an asteroid, these Lagrange points would be defined with respect to that single asteroid and the sun itself, since the asteroid orbits the sun. The Asteroid Belt is not a single body, therefore it has no defineable Lagrange points.

On the other hand, asteroids can "live" at the Lagrange points of the larger bodies in our solar system. In particular, there are significant numbers of asteroids at the "Trojan" Lagrange points of Jupiter's orbit around the sun. These asteroids are in the same orbit as Jupiter, but either 60 degrees ahead or 60 degrees behind Jupiter in it's fairly circular orbit around the sun.

Answer 3

Sure. Every orbiting object has them. They might not be as stable if other asteroids pass too close to your orbit, but they're there. There'll be one a little farther out from the sun and one a little farther in. The ones 120 degrees around in the orbit won't be there with that small a body.

Answer 4

no it is impossible