Here G is the incident flux at F. In the following, only those values G = G(r) are of interest for which x is a surface point of the irradiated star. The nomenclature is similar to that in Russell & Merrill (1952). i(= 0+) and 0(= <p+) are spherical polar coordinates with center at the origin of the radiating star. Conservation of flux, and the observation that for a star with unit luminosity we have S = 1/4n, yields the normalization condition:
j G(i, 0)d^ = f E(i, 0)d^ = 1, d^ = sin idid0. (E.29.9) According to Russell & Merrill (1952, p. 33), it follows that
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