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Research Article. Geodesic equations and their numerical solutions in geodetic and Cartesian coordinates on an oblate spheroid
13 references·3 citing·20 second hop
Research Article. Geodesic equations and their numerical solutions in geodetic and Cartesian coordinates on an oblate spheroid (2017)Research Article. Geodesic equations and …The geodesic boundary value problem and its solution on a triaxial ellipsoid (2013)The geodesic boundary value p…Solving the geodesics on the ellipsoid as a boundary value problem (2013)Solving the geodesics on the …Solving the Direct and Inverse Geodetic Problems on the Ellipsoid by Numerical Integration (2012)Solving the Direct and Invers…Solutions to the ellipsoidal Clairaut constant and the inverse geodetic problem by numerical integration (2012)Solutions to the ellipsoidal …Algorithms for geodesics (2012)Algorithms for geodesicsAn integral for geodesic length (2009)An integral for geodesic leng…Validation of Vincenty’s Formulas for the Geodesic Using a New Fourth-Order Extension of Kivioja’s Formula (2005)Validation of Vincenty’s Form…DIRECT AND INVERSE SOLUTIONS OF GEODESICS ON THE ELLIPSOID WITH APPLICATION OF NESTED EQUATIONS (1975)DIRECT AND INVERSE SOLUTIONS …Computation of geodetic direct and indirect problems by computers accumulating increments from geodetic line elements (1971)Computation of geodetic direc…The computation of long geodesics on the ellipsoid by non-series expanding procedure (1970)The computation of long geode…General non-iterative solution of the inverse and direct geodetic problems (1965)General non-iterative solutio…Long geodesics on the ellipsoid (1955)Long geodesics on the ellipso…Ueber die Berechnung der geographischen Längen und Breiten aus geodatischen Vermessungen (1826)Ueber die Berechnung der geog…Geodesics on an arbitrary ellipsoid of revolution (2023)Geodesics on an arbitrary ell…Performance of a solution of the direct geodetic problem by Taylor series of Cartesian coordinates (2021)Performance of a solution of …The direct geodesic problem and an approximate analytical solution in Cartesian coordinates on a triaxial ellipsoid (2020)The direct geodesic problem a…Geometric Geodesy Part I (1991)Precise Determination of the Clairaut Constant in Ellipsoidal Geodesy (2007)A fourth order solution for geodesics on ellipsoids of revolution (2010)Circle Approximations on Spheroids (2011)The Direct and Indirect Problem for Loxodromes (2011)Map projections: A working manual (1987)geosphere: Spherical Trigonometry (2010)Geospatial Data Generation and Preprocessing Tools for Urban Computing System Development1 (2016)geodist: Fast, Dependency-Free Geodesic Distance Calculations (2018)Determination of areas on the plane, sphere and ellipsoid (2006)Intersection and point-to-line solutions for geodesics on the ellipsoid (2017)Enabling Cost-Effective Multimodal Trip Planners through Open Transit Data (2011)Spatial prediction of traffic levels in unmeasured locations: applications of universal kriging and geographically weighted regression (2013)The impact of supply chain structure on the use of supplier socially responsible practices (2010)Inferring transportation modes from GPS trajectories using a convolutional neural network (2017)Geodesic arc length on the reference ellipsoid to second-order terms in the flattening (1965)Geodesics on an ellipsoid of revolution (2009)Theory, strict formula derivation and algorithm development for the computation of a geodesic polygon area (2022)Calculating on a round planet (2016)Four Methods for Low-Distortion Projections (2019)
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References

  • 1975DIRECT AND INVERSE SOLUTIONS OF GEODESICS ON THE ELLIPSOID WITH APPLICATION OF NESTED EQUATIONS1,276 cited
  • 2012Algorithms for geodesics432 cited
  • 1965General non-iterative solution of the inverse and direct geodetic problems51 cited
  • 2005Validation of Vincenty’s Formulas for the Geodesic Using a New Fourth-Order Extension of Kivioja’s Formula48 cited
  • 1971Computation of geodetic direct and indirect problems by computers accumulating increments from geodetic line elements34 cited
  • 1955Long geodesics on the ellipsoid25 cited
  • 1970The computation of long geodesics on the ellipsoid by non-series expanding procedure23 cited
  • 2012Solving the Direct and Inverse Geodetic Problems on the Ellipsoid by Numerical Integration23 cited
  • 2009An integral for geodesic length21 cited
  • 1826Ueber die Berechnung der geographischen Längen und Breiten aus geodatischen Vermessungen20 cited
  • 2012Solutions to the ellipsoidal Clairaut constant and the inverse geodetic problem by numerical integration19 cited
  • 2013The geodesic boundary value problem and its solution on a triaxial ellipsoid14 cited
  • 2013Solving the geodesics on the ellipsoid as a boundary value problem11 cited

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  • 2023Geodesics on an arbitrary ellipsoid of revolution

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8 cited
  • 2020The direct geodesic problem and an approximate analytical solution in Cartesian coordinates on a triaxial ellipsoid5 cited
  • 2021Performance of a solution of the direct geodetic problem by Taylor series of Cartesian coordinates3 cited