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Derivation of Closed Functions to Compensate Range and Angle Errors in an Exponential Atmosphere
Author(s) -
Rowlandson L. G.,
Moldt R. G.
Publication year - 1969
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs004i010p00927
Subject(s) - exponential function , atmosphere (unit) , range (aeronautics) , refraction , mathematical analysis , mathematics , exponential decay , function (biology) , physics , optics , meteorology , materials science , evolutionary biology , nuclear physics , composite material , biology
It was shown by G. D. Thayer and J. J. Freeman that corrections to refraction‐induced errors can be expressed in terms of error functions for propagation in an exponential model atmosphere. Using Freeman's equations as an example, we replace the error functions by their asymptotic expressions, thereby giving closed form equations. To extend the usefulness of these functions for short ranges and small elevation angles, an empirical adjustment is made.