The mapping function and the generator function theory of neutral atmospheric refraction.

Astronomy and Astrophysics – Astronomy

Scientific paper

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Earth Atmosphere: Refraction, Numerical Methods: Refraction

Scientific paper

As the basic research problems in practical astronomy and geodesy, the author review the recent progress in the mapping function of atmospheric refraction, and sketch the new generator function method of refractive delay and astronomical refraction. Several mapping function models used widely in modern space techniques today, such as CfA2.2, MTT and especially NMF, are discussed. From the generator function theory, the introduced new continued fractions of the mapping function for both refractive delay and signal bending are summarized. Comparisons among different mapping functions routinely used in practical astronomy and geodesy are given, associated with VLBI cut-off tests and radiosonde data. The new mapping functions obtained from the generator function method ensure higher theoretical accuracy of refractive delay for a lower observation and wider elevation coverage at radio and optical frequencies. The advantage of NMF model have been analyzed theoretically and practically by numerical integrals of radiosonde data. The main problems and the future developments of the mapping function in atmospheric refraction have described as the conclusion of this paper.

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