On the equivalence of expressions for inverting the 3-dimensional zodiacal light brightness integral

Details On the equivalence of expressions for inverting the 3-dimensional zodiacal light brightness integral On the equivalence of expressions for inverting the 3-dimensional zodiacal light brightness integral

Nov 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980p%26ss...28.1077s&link_type=abstract

Planetary and Space Science, vol. 28, Nov. 1980, p. 1077-1079.

Mathematics

Integral Equations, Inversions, Reference Systems, Zodiacal Light, Brightness, Scattering Cross Sections, Solar Orbits

Scientific paper

An analysis is presented which shows that expressions for the general mathematical inversion of the zodiacal light brightness integral derived independently by Schuerman (1979) and Bruitrago (1979) are equivalent, differing only in the choice of reference systems. It is noted that although both expressions represent the general inversion of the brightness integral, the values of all three partial derivatives cannot be obtained by a single observer moving in solar orbit. This limits the practical use of the inversion formula to 'look' directions confined to a single plane, rather than the full 4pi steradians.

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