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Closed formulas for the direct and reverse geodetic problems
Abstract A new solution of the direct and reverse geodetic problems has been deduced without series expansion or coordinate transformation. The unknown parameters are directly expressed as explicit functions of the given parameters; the forms of the functions are closed formulas deduced by elementary mathematics using the chord of normal section. Numerical examples prove that the formulas are valid for distances from 40 km to 15 000 km on the surface of the ellipsoid.
Closed formulas for the direct and reverse geodetic problems
Abstract A new solution of the direct and reverse geodetic problems has been deduced without series expansion or coordinate transformation. The unknown parameters are directly expressed as explicit functions of the given parameters; the forms of the functions are closed formulas deduced by elementary mathematics using the chord of normal section. Numerical examples prove that the formulas are valid for distances from 40 km to 15 000 km on the surface of the ellipsoid.
Closed formulas for the direct and reverse geodetic problems
Hradilek, L. (author)
Bulletin géodésique ; 50
1976
Article (Journal)
English
Geodäsie , Geometrie , Geodynamik , Zeitschrift , Mathematik , Mineralogie
Closed formulas for the direct and reverse geodetic problems
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Erratum to: General non-iterative solution of the inverse and direct geodetic problems
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