Abstract

A proposal is made for improvement of J. A. Pierce's composite wave technique for the reduction of diurnal and solar flare effects on OMEGA navigation signals. Based on calculations of a fictitious free-space transmission time Tc and multi-frequency phase measurements, a general formalism is presented for the compensation of phase shifts due to changes in the earth-ionosphere waveguide parameters. In principle, phase measurements at (n + 1) discrete frequencies are necessary to compensate for variations in n parameters such as reference height, ionospheric conductivity gradient, etc. For n = 1 (compensation of height changes), explicit expressions for Tc are derived from various models of the earth-ionosphere waveguide using phase measurements recorded at the basic OMEGA frequencies of 10.2 and 13.6 kHz. For a flat earth with perfectly conducting boundaries, the results are very similar to those of Pierce. More realistic waveguide models (spherical earth with exponential ionosphere) result in a considerable reduction of diurnal shifts and anomalies due to solar disturbances. It is also shown that no further improvements result from the addition of a third signal because of unrealistic accuracy requirements for phase measurements.

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