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sci / sci.math.research / Curve for chain in NON-homogeneous gravitational field?

Subject: Curve for chain in NON-homogeneous gravitational field?
From: Gene Partlow
Newsgroups: sci.math.research
Organization: World Wide Maths
Date: Thu, 18 May 2017 08:45 UTC

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From: stargene@sbcglobal.net (Gene Partlow)
Newsgroups: sci.math.research
Subject: Curve for chain in NON-homogeneous gravitational field?
Date: Thu, 18 May 2017 02:45:51 -0600
Organization: World Wide Maths
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What would be the equation and curve for a perfect chain suspended in an
non-homogeneous gravitational field, analogous to the catenary or
hyperbolic
cosine, which would be the locus taken in a homogeneous field?

Eg: As an example, consider the curve taken by such a chain suspended
from the tops of a pair of ~five-thousand-mile-high towers, which have
bases
separated by, say, a few thousand miles distance, on a static Earth.

Thanks,
Gene

Subject	Author
Curve for chain in NON-homogeneous gravitational field?	Gene Partlow