User:Tohline/2DStructure/ToroidalCoordinateIntegrationLimits
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Revision as of 01:39, 9 November 2015 by Tohline (talk | contribs) (→Preamble: Insert my schematic image of Apollonian circles)
Toroidal-Coordinate Integration Limits
In support of our accompanying discussion of the gravitational potential of a uniform-density circular torus, here we explain in detail what limits of integration must be specified in order to accurately determine the volume — and, hence also the total mass — of such a torus using toroidal coordinates.
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Preamble
Some useful figures:
| Apollonian Circles (schematic) (see also Wikipedia's Apollonian Circles) | Figure 2 | Figure 3 |
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![[1]](https://upload.wikimedia.org/wikipedia/commons/b/b2/Apollonian_circles.svg){kind=link}
See Also
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© 2014 - 2021 by Joel E. Tohline |