MOMENT METHOD FOR SOLUTION OF THE SCHWARZSCHILD-MILNE INTEGRAL EQUATION
Journal Article
·
· Astrophysical Journal (U.S.)
The underlying basis of the extreme accuracy of the double-Gauss quadrature formula devised in the method of discrete ordinates is uncovered in an alternative solution of the transfer equation. The Schwarzschild-Milne integral equation is solved by approximating the exponential integral kernel with a finite sum of exponential functions. A moment method is used to provide the best fit to the kernel. The constants that result are identical to those following from the choice of a double-Gauss quadrature formula in the discrete ordinate method. The integral equation formalism is then applied to the non-gray atmosphere problem. (auth)
- Research Organization:
- Geophysics Corp. of America, Bedford, Mass.
- NSA Number:
- NSA-18-010895
- OSTI ID:
- 4081948
- Journal Information:
- Astrophysical Journal (U.S.), Journal Name: Astrophysical Journal (U.S.) Vol. Vol: 139; ISSN ASJOA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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