Astronomy and Astrophysics – Astronomy
Scientific paper
Mar 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rpesc...6...50v&link_type=abstract
In its USSR Report: Earth Sciences p 50-51 (SEE N88-16119 08-42) Transl. into ENGLISH from Doklady Akademii Nauk SSSR (Moscow, U
Astronomy and Astrophysics
Astronomy
Astronomy, Atmospheric Refraction, Atmospheric Temperature, Temperature Profiles, Algorithms, Fredholm Equations, Stars
Scientific paper
Theoretical and experimental work was done to determine the possibilities of retrieving vertical temperature profiles from refraction measurements when observing celestial bodies from the surface at positive angles of elevation. This required derivation of a fundamental equation which relates refraction epsilon and the atmospheric refractive index n, which is reduced to a Fredholm equation of the first kind by integration by parts. Two algorithms were written for solving the new equation involving use of the statistical regularization method or a compact class of monotonic functions. Suggestions are made on overcoming a number of inherent difficulties in the problem. Effectiveness was checked by comparing retrieved profiles and aerological sounding data (in the example of combined astronomical and aerological observations in a semidesert region). Specific data from practical application of the method are cited. These examples indicate that the accuracy of measurements of refraction, the accuracy in computing the kernel of the pertinent integral equation and the degree of correspondence of the spherically symmetric approximation to the real atmosphere meet all requirements. Retrieval accuracy is equal to that obtained by surface microwave radiometry methods.
Gaykovich K. P.
Sumin M. I.
Vasilenko N. A.
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