- #1

D.S.Beyer

- 50

- 2

- TL;DR Summary
- If gravity is a pseudo force, what is going on at the Lagrangian points in GR terms?

Is there a relationship between the Lagrangian ‘hill diagram’ and the spacetime curvature embedment graphs?

The Lagrangian map shows effective potential, which deals with centrifugal force. As centrifugal force is a fictitious force (and gravity is as well), I would assume the underlying phenomena to be an aspect of curved spacetime.

Would a Lagrangian point, without any mass in it, have a slight spacetime embedment due to the planet / sun system?

My gut says no, but it would be cool if it did. Thoughts?

Side note : Can anyone point me to an embedment graph of a 2-body system? Ideally something real like the sun / Earth system, or Earth / moon system. I'd like to see curvature as it relates to actual astronomical distances, not just a cartoon of a rubber sheet with some balls.

The Lagrangian map shows effective potential, which deals with centrifugal force. As centrifugal force is a fictitious force (and gravity is as well), I would assume the underlying phenomena to be an aspect of curved spacetime.

Would a Lagrangian point, without any mass in it, have a slight spacetime embedment due to the planet / sun system?

My gut says no, but it would be cool if it did. Thoughts?

Side note : Can anyone point me to an embedment graph of a 2-body system? Ideally something real like the sun / Earth system, or Earth / moon system. I'd like to see curvature as it relates to actual astronomical distances, not just a cartoon of a rubber sheet with some balls.