On the singular point of Abel integral transformation in GPS/LEO Occultation technique

Details On the singular point of Abel integral transformation in GPS/LEO Occultation technique On the singular point of Abel integral transformation in GPS/LEO Occultation technique

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004acasn..45..330g&link_type=abstract

Acta Astronomica Sinica, vol. 45, no. 3, p. 330-337

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Earth Atmosphere, Gps/Leo Occultation, Abel Integral Transformation, Singular Point Of Integral

Scientific paper

Abel integral transformation is one of the most widely used methods to retrieve atmospheric refractive index in GPS/LEO radio occultation technique probing the Earth's atmosphere. A new direct analytical approach is proposed in this paper to Abel integral transformation, thus the singular point of integral is avoided, and computation process is simplified. By numerical simulations of occultation events, it is proved that the new method not only has a simple mathematical expression and the minimum computer time consuming, but also a least computation error.

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