Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Lagrange point
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==History== The three collinear Lagrange points (L<sub>1</sub>, L<sub>2</sub>, L<sub>3</sub>) were discovered by the Swiss mathematician [[Leonhard Euler]] around 1750, a decade before the Italian-born [[Joseph-Louis Lagrange]] discovered the remaining two.<ref>{{Cite book |title=Dynamical Systems, the Three-Body Problem, and Space Mission Design |last1=Koon |first1=Wang Sang |first2=Martin W. |last2=Lo |author-link2=Martin Lo |first3=Jerrold E. |last3=Marsden |author-link3= Jerrold E. Marsden |first4=Shane D. |last4=Ross |url=http://www.cds.caltech.edu/~marsden/books/Mission_Design.html |date=2006 |page=9 |access-date=9 June 2008 |archive-url=https://web.archive.org/web/20080527145955/http://www.cds.caltech.edu/~marsden/books/Mission_Design.html |archive-date=27 May 2008 |url-status=dead }} (16MB)</ref><ref name="E327">{{cite book|author-link=Leonhard Euler|first=Leonhard|last=Euler |url=http://www.math.dartmouth.edu/~euler/docs/originals/E327.pdf |title=De motu rectilineo trium corporum se mutuo attrahentium |date=1765}}</ref> In 1772, Lagrange published an "Essay on the [[three-body problem]]". In the first chapter he considered the general three-body problem. From that, in the second chapter, he demonstrated two special [[Three-body problem#General solution|constant-pattern solutions]], the collinear and the equilateral, for any three masses, with [[circular orbit]]s.<ref name="gallica.bnf.fr">{{Cite book |last=Lagrange |first=Joseph-Louis |author-link=Joseph-Louis Lagrange |title=Œuvres de Lagrange |date=1867–1892 |publisher=Gauthier-Villars |chapter=Tome 6, Chapitre II: Essai sur le problème des trois corps |pages=229–334 |chapter-url=http://gallica.bnf.fr/ark:/12148/bpt6k229225j/f231.image.r=Oeuvres+de+Lagrange.langFR |language=fr }}</ref>
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Lagrange point
(section)
Add topic