Difference between revisions of "User:Tohline/Appendix/Mathematics/ToroidalSynopsis01"
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Here we attempt to bring together — in as succinct a manner as possible — our approach and [http://adsabs.harvard.edu/abs/1973AnPhy..77..279W C.-Y. Wong's (1973)] approach to determining the gravitational potential of an axisymmetric, uniform-density torus that has a major radius, <math>~R</math>, and a minor, cross-sectional radius, <math>~d</math>. The relevant toroidal coordinate system is one based on an ''anchor ring'' of major radius, | |||
Here we attempt to bring together — in as succinct a manner as possible — [[User:Tohline/2DStructure/ToroidalCoordinates#Using_Toroidal_Coordinates_to_Determine_the_Gravitational_Potential|our approach]] and [http://adsabs.harvard.edu/abs/1973AnPhy..77..279W C.-Y. Wong's (1973)] approach to determining the gravitational potential of an axisymmetric, uniform-density torus that has a major radius, <math>~R</math>, and a minor, cross-sectional radius, <math>~d</math>. The relevant toroidal coordinate system is one based on an ''anchor ring'' of major radius, | |||
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<math>~a^2 \equiv R^2 - d^2 \, .</math> | <math>~a^2 \equiv R^2 - d^2 \, .</math> | ||
Revision as of 00:23, 3 June 2018
Synopsis of Toroidal Coordinate Approach
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Here we attempt to bring together — in as succinct a manner as possible — our approach and C.-Y. Wong's (1973) approach to determining the gravitational potential of an axisymmetric, uniform-density torus that has a major radius, <math>~R</math>, and a minor, cross-sectional radius, <math>~d</math>. The relevant toroidal coordinate system is one based on an anchor ring of major radius,
<math>~a^2 \equiv R^2 - d^2 \, .</math>
See Also
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