User:Tohline/Appendix/Ramblings/RiemannB74C692
Another S-type Example b74c692
This chapter is an extension of the chapter we have titled, "Riemann Meets COLLADA & Oculus Rift S." In that chapter we used as our first example of a Riemann S-type ellipsoid the model with parameters, b41c385. Other closely related chapters are listed below under the heading, "See Also".
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Key Physical Parameters
The model that we have chosen to use in our second successful construction of a COLLADA-based, 3D and interactive animation has the following properties; this model has been selected from Table 2 of our accompanying discussion of Riemann S-type ellipsoids:
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Figure 1a |
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<math>~\frac{b}{a} = 0.41</math> |
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Figure 1b |
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<math>~\frac{c}{a} = 0.385</math> |
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Direct |
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Adjoint |
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<math>~\Omega_\mathrm{EFE} = 0.547874</math> |
<math>~\Omega_\mathrm{EFE} = - 0.079886</math> |
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<math>~\lambda_\mathrm{EFE} = 0.079886</math> |
<math>~\lambda_\mathrm{EFE} = - 0.547874</math> |
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The subscript "EFE" on Ω and λ means that the relevant frequency is given in units that have been adopted in [EFE], that is, in units of <math>~[\pi G\rho]^{1 / 2}</math>. In Figure 1a, the solid purple circular marker (where the pair of purple lines cross) identifies the location of this model in the "c/a versus b/a" diagram that appears as Figure 2 on p. 902 of S. Chandrasekhar (1965); essentially the same diagram appears in §49 (p. 147) of [EFE].
See Also
- Discussion of Ou's Riemann-Like Ellipsoids
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© 2014 - 2021 by Joel E. Tohline |