Derivation of Closed Functions to Compensate Range and Angle Errors in an Exponential Atmosphere


  • L. G. Rowlandson,

  • R. G. Moldt


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.