Modelling of the disturbing geopotential using functions of a quaternion variable

Details Modelling of the disturbing geopotential using functions of a quaternion variable Modelling of the disturbing geopotential using functions of a quaternion variable

Oct 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990dres.iafct....k&link_type=abstract

IAF, International Astronautical Congress, 41st, Dresden, Federal Republic of Germany, Oct. 6-12, 1990. 10 p.

Astronomy and Astrophysics

Astronomy

Cauchy Integral Formula, Geopotential, Gravitational Fields, Planetary Surfaces, Quaternions, Terrestrial Planets, Celestial Mechanics, Error Analysis, High Resolution

Scientific paper

It is shown that, using the Cauchy formula for quaternion functions in multidimensional spaces, it is possible to compute the characteristics of the disturbing gravity field using the values of the field intensity assigned for a compact closed surface. The calculations are fast and highly accurate and yield estimates of systematic errors. The method can be used to model different geophysical fields.

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