User:Tohline/Appendix/ComputerAlgorithms/Riemann
Riemann Algorithms
These are algorithms that I have stored under the directory, …/numRecipes/EllipticIntegrals/Riemann
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Riemann02 (12 June 2020)
Basically the same as "Riemann01," but with the output formatted more clearly. The example output file shown immediately below refers to …
- TEST (part 1), which is in the context of our discussion of General Coefficient Expressions.
- TEST (part 2), which is in the context of the evaluation of several Virial-Equilibrium-based expressions.
- Table 2, which contains Other Parameter Determinations.
Example Output File
Riemann S-type Ellipsoid having: (b/a,c/a) = (9.000000000000D-01,6.410000000000D-01)
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TEST (part 1):
Elliptic Integrals of the 1st and 2nd kinds:
phi(deg) (rad) asin(k) (deg) (rad) F(phi,k) E(phi,k)
5.013357254094D+01 8.749959066267D-01 3.253852919374D+01 5.679044681871D-01 9.090259485521D-01 8.431180475729D-01
A1 A2 A3
5.214502732782D-01 5.951310119083D-01 8.834187148135D-01
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TEST (part 2):
a2A12 B12 alpha beta
3.877933612108D-01 2.073376506975D-01 2.472452000855D-01 3.797483470425D+00
f omega f_Ad omega_Ad
-2.680088866444D-01 1.131374738327D+00 -1.509117086331D+01 -1.507716218767D-01
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Table 2:
Direct (omega,lambda,zeta,f): 1.131374738327 0.150771621841 -0.303218483925 -0.268008886644
Adjoint (omega,lambda,zeta,f): -0.150771621877 -1.131374730590 2.275320291519 -15.091170863305
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Riemann01 (21 August 2019)
Evaluate terms associated with construction of various Riemann S-type Ellipsoids, especially for comparison with work by Ou (2006). Enter two axis-ratio values: bovera covera (separated by space).
See Also
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© 2014 - 2021 by Joel E. Tohline |