Lagrange point colonization: Difference between revisions

Revision as of 07:52, 14 November 2018

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==Earth–Moon==

[[Image:Lagrange points Earth vs Moon.jpg|thumb|right|300px|A diagram showing the five [[Lagrangian point]]s in a two-body system, with one body far more massive than the other (e.g. Earth and Moon). In this system {{L3}}–{{L5}} will appear to share the secondary's orbit, although they are situated slightly outside it.]]
The only two stable Lagrange points are {{L4}} and {{L5}}. TheyLangrange points are stable provided thatif the mass of the primarylarger body (e.g. the Earth) is at least 24.959925 times the mass of the secondary body (e.g. the Moon)<ref>{{cite web|last1=Fitzpatrick|first1=Richard|title=Stability of Lagrange Points|url=http://farside.ph.utexas.edu/teaching/336k/Newtonhtml/node126.html|website=Newtonian Dynamics|publisher=University of Texas}}</ref><ref>{{cite web|last1=Greenspan|first1=Thomas|title=Stability of the Lagrange Points, L4 and L5|url=http://www.math.cornell.edu/~templier/junior/final_paper/Thomas_Greenspan-Stability_of_Lagrange_points.pdf|date=January 7, 2014}}</ref>. The Earth is over 81 times the mass of the Moon (the Moon is 1.23% of the mass of the Earth<ref name = "Pitjeva">{{cite journal|last1=Pitjeva|first1=E.V.|last2=Standish|first2=E.M.|title=Proposals for the masses of the three largest asteroids, the Moon-Earth mass ratio and the Astronomical Unit|journal=Celestial Mechanics and Dynamical Astronomy|date=2009-04-01|volume=103|issue=4|pages=365–372|doi=10.1007/s10569-009-9203-8|url=https://link.springer.com/article/10.1007%2Fs10569-009-9203-8|access-date = 2016-02-12|bibcode = 2009CeMDA.103..365P }}</ref>). The [[L5 Society]] was founded to promote settlement by building space stations at these points in the Earth Moon system.

An {{L1}} station would have a number of important functions due to its stationary position between the [[Earth]] and [[Moon]]. It is in an excellent ___location to monitor and coordinate communications among various missions on the nearside of the Moon. A vessel launched from L1 could reach any place on the Moon within a few hours to a day. This would make it ideal for crisis management if an emergency occurred on the Moon. Furthermore, it could serve as a way station, especially once built up, and would probably be used to handle tourists and casual visitors to the Moon. A station like this could also serve as a repair center for ships moving throughout the [[Solar System]].