From: Brad Holden <holden@t...>
Date: Sat, 11 Jul 1998 13:21:24 -0500
Subject: Hideously OT: Langrange Points Re: gravity and ftl
Andrew Martin, Alex Shvarts & Brian Martin (although i suspect Mr > Martin wrote it and shamelessly used other people's names :-) wrote: > In several SF systems, the writers suggest that FTL drives only for instance, i think this is how it works in the battletch books > If I recall correctly, these are also Lagrange points. i don't think there's any 'also' about it - as far as i know that's the definition of a Lagrange point! Ok, I am going to inject physics into this discussion. The five Lagrange points are not a place where space-time is flat. Lagrange points are places where the gravitational attaction between two bodies coupled with the angular momentum a third body has makes the position of the third body stable. The angular momentum part of all this makes Lagrange points not just depend on gravity. In other words, for an asteroid to stay in the Trojan points of Jupiter it must be moving a very specific orbital velocity (ie, the same orbital velocity that Jupiter has). Flat space means you feel no effects from gravity regards of your velocity. What the Lagrange points are are stability points, so this does not mean that you feel no gravitational acceleration, but it means if you have a certain velocity you can just sit there without having to worry about straying away or constantly working to keep your orbit. Of course none of this has anything to do with Full Thrust or FTL. If you want to have FTL from every possible Lagrange point, go ahead, just don't say a Lagrange point has a flat space-time (you can, however, say because its a meta-stable point in the on the zero-velocity surface of the effective potential which ought to impress the hell out of just about anybody.) Further questions/comments/flames on this should go directly to me instead of to the list. cheers