Intersection of hyperbolae on the earth
dc.contributor.author | Stuifbergen, Nicholar, H.J. | |
dc.date.accessioned | 2023-03-01T18:26:46Z | |
dc.date.available | 2023-03-01T18:26:46Z | |
dc.description.abstract | Several methods are discussed of solving for the point of intersection of a pair of hyperbolic lines of position as generated by commonly used radionavigation systems e.g. Decca, Loran-C, Omega, Syledis, Raydist or HiFix. Both the plane and the spherical problem are treated by the well-known iterative technique and by a direct trigonometrical solution. Numerous analogies are apparent between the plane and the spherical solutions. For the direct method on the ellipsoid, a new and easier solution is presented. Notably, geodetic positions on the ellipsoid are calculated accurately for very long lines by spherical trigonometric formulae. Numerical examples to test the algorithms and a set of Fortran routines are included. The results are verified by Vincenty’s geodetic inverse formula | |
dc.identifier.uri | https://unbscholar.lib.unb.ca/handle/1882/14623 | |
dc.rights | http://purl.org/coar/access_right/c_abf2 | |
dc.subject.discipline | Geodesy and Geomatics Engineering | |
dc.title | Intersection of hyperbolae on the earth | |
dc.type | technical report |
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