🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: sci.space
Article #7693

Finding a good Lagrange-points derivation

#7693
From: HIGGINS
Date: Tue, 21 Oct 1986 15:41
18 lines
1484 bytes
A couple of requests recently have dealt with understanding the nature of
Lagrange's equilibrium points.   The most lucid mathematical derivation
I've found is in:

Jerry B. Marion, *Classical Dynamics of Particles and Systems*, second edition,
Academic Press, New York, 1970, pages 278-285.  Section 8.12, "The Problem of
Three Bodies."

This is an undergraduate mechanics text, and no math fancier than basic
calculus and vector algebra is used in the derivation. Marion gives references
on page 285 so you can explore further if you like.   Symon's *Mechanics* goes
into more detail on stability, but uses daunting math.  Dave Newkirk published
some references the other day, but they didn't look like they were intended for
the beginner.

                                        Bill Higgins
                                        Fermi National Accelerator Laboratory
                                        HIGGINS@FNALCDF.BITNET
Technical Details
Message-ID: <8610211539.AA15198@s1-b.arpa>
Path: arc1-ca.pugleaf.net!utzoo!watmath!clyde!caip!rutgers!sri-spam!nike!ucbcad!ucbvax!FNALCDF.BITNET!HIGGINS

Show Full Headers
Complete Article Headers
Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Path: arc1-ca.pugleaf.net!utzoo!watmath!clyde!caip!rutgers!sri-spam!nike!ucbcad!ucbvax!FNALCDF.BITNET!HIGGINS
From: HIGGINS@FNALCDF.BITNET
Newsgroups: sci.space
Subject: Finding a good Lagrange-points derivation
Message-ID: <8610211539.AA15198@s1-b.arpa>
Date: Tue, 21-Oct-86 11:41:56 EDT
Article-I.D.: s1-b.8610211539.AA15198
Posted: Tue Oct 21 11:41:56 1986
Date-Received: Wed, 22-Oct-86 04:35:04 EDT
Sender: daemon@ucbvax.BERKELEY.EDU
Organization: The ARPA Internet
Lines: 18