X-Andrew-Authenticated-as: 7997;andrew.cmu.edu;Ted Anderson
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Fri, 15 Sep 89 03:43:33 -0400 (EDT)
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Date: Fri, 15 Sep 89 03:43:11 -0400 (EDT)
Subject: SPACE Digest V10 #45
SPACE Digest Volume 10 : Issue 45
Today's Topics:
Re: Lagrangian Points
Re: Dynamics of Magnetically Driven Spacecraft
Re: Was Voyager another damaging Apollo one-shot?
Re: Tracking Military Satellites
Re: Economies of Scale in Launchers
Re: Ignorance at Christic institute
Re: Voyager Audio/Slide Show
Re: Progress M-1 (new type of cargo craft) launched to USSR's Mir station
In article <15070@ut-emx.UUCP> sudhama@walt.cc.utexas.edu (Chandrasekhara Sudhama) writes:
>Hello, this is my first posting. Would someone please explain
>(either on this network or in private email) the stability of the
>equilibrium points in the Earth - Moon system?
From my L5 days, the straight line points, on the Earth-Moon line are 2/3 stablewhich means that the satellites placed at these straight-line libration points,
L1, L2, and L3 can move in a plane that is perpendicular to the line joining theEarth and the Moon, and the libration phenonenon at these 2/3 stable points actsso as to return the satellite to the libration point. But if the satellite moves towards the Earth or Moon, the satellite will continue approaching the Earth or Moon. Thus the L1, L2, and L3 points are 2/3 stable, i.e. they return to the libration point from 2 of the 3 possible dimensions it can traverse away from the libration point. On the othe
r hand, the L4 and L5 points are stable in all 3 dimensions. The satellite can move anywhere about the point (within some kidneyshaped bounds) and still experience forces that draw it back into the libration point.
The L5 point, namesake of the pioneering space settler society, is trailing the Earth in the Earth-Moon system cyclical progression (I believe) as the Earth andMoon rotate about their combined center of rotation. I think that was the case,and I believe the L5 Society decided on that location for settlement due to enhanced safety in case of emergency. The Earth would be moving away from the Settlement and pose less of a danger should the satellite orbit be perturbed.
The 2/3 stable points are useful despite the instability in the 3rd dimension. There was, and may still be, a satellite placed at the libration point between the Earth and the Sun, and set into an orbit about the line between the Earth and the Sun such that when viewed from the Earth (with appropriate equipment, not eyes, of course) the satellite would circumscribe the borders of the Sun. NASA had redirected this satellite into that orbit after it had completed some other mission. Perhaps it was called
Solar Max, I can't recall. Perhaps someone else out there would know. Maybe the L5er ==> NSS member who originally passed the news to me may be on the net and would know.
The mathematical formulations of the other postings on this subject are very interesing. It would be interesting to know what all those numbers mean. For instance the 24.999~, and the 27* ... etc. There must be a good reference?
To The Stars,
Greg Harrison
NSS member
------------------------------
Date: 6 Sep 89 01:03:09 GMT
From: cbmvax!jesup@uunet.uu.net (Randell Jesup)
Subject: Re: Dynamics of Magnetically Driven Spacecraft
In article <2959@aplcen.apl.jhu.edu> jwm@aplvax.UUCP (Jim Meritt) writes: