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Types of Operations (4.7/4.9)

Types of Operations (4.7/4.9). Operations on coordinates Validation (move to clause 5?) Conversions Transformations Horizontal Vertical (especially gravity models) Operations on coordinates for compensating projection-based distortions Point scale Convergence of the meridian

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Types of Operations (4.7/4.9)

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  1. Types of Operations (4.7/4.9) Operations on coordinates • Validation (move to clause 5?) • Conversions • Transformations • Horizontal • Vertical (especially gravity models) Operations on coordinates for compensating projection-based distortions • Point scale • Convergence of the meridian • Vector (bound) Operations on directions (one or more SRF?) • Radii of curvature (and mean radius) • Azimuth (forward/backward), Bearing • "Euclidean Distance": Minimum length path (geodesics) • "3D" Distance in Augmented SRF • Vector (cross-product, dot-product ???) Operations on scalar measures • Othometric height (and for other vertical datums?) • Distance

  2. Organize Operations by SRF Type • Celestiocentric (centric  J2000 inertial) • Kinematic formulations (time; no forces) • Rotating body (vs. revolving vs. inertial orientation) • Celestiodetic (detic  centric) • Projected (detic  projected) • M/AM, TM/ATM, UTM/AUTM (Earth-specific; zones) • OM/AOM, LCC/ALCC (treat LCC1 as special case) • PS/APS, UPS/AUPS (Earth-specific), EC/AEC • Topocentric (topo  centric) • LTP, GCS (Earth-specific case) • Celestiomagnetic (magnetic  centric) • Celestiocentric non-fixed (CNF  centric) • Heliocentric non-fixed (HNF  centric) • Artificial body-centric (ABC  centric) • Non-tied ( detic, projected, topo) • Requires additional parameters

  3. Celestiodetic • Celestiodetic • Celestiodetic 2D SRF to Celestiocentric SRF • Conversion • Formulation • Applicable domain • 40 km central ball excluded; maximum radius/distance … • Accuracy • Radius of curvature • Formulation • Applicable domain • Accuracy • Celestiocentric SRF to Celestiodetic 2D SRF(exclude?) • … • Celestiodetic 3D SRF to Celestiocentric SRF • … • Celestiocentric SRF to Celestiodetic 3D SRF • … Spherical cases in Annex

  4. Example of a Projected SRF • Mercator • Celestiodetic 2D SRF to Mercator 2D SRF • Coordinate conversion • Formulation • Applicable domain • Accuracy • Point scale • Formulation • Applicable domain • Accuracy • Convergence of the meridian • Formulation • Applicable domain • Accuracy • Mercator 2D SRF to Celestiodetic 2D SRF • ... • Celestiodetic 3D SRF to Augmented Mercator SRF • … • Augmented Mercator SRF to Celestiodetic 3D SRF • … Spherical cases in Annex

  5. Transformation • Shifting between two local horizontal datums • Seven-parameter ellipsoid of revolution ORS transformations • Transformation to coordinates based on the WGS 84 global datum • Transformation to coordinates based on a local datum • Parameter values • Accuracy • Three-parameter ellipsoid of revolution ORS transformations • Transformation to coordinates based on the WGS 84 global datum • Transformation to coordinates based on a local datum • Molodensky single-step transformations • Local datum distortion Note that these are all Earth-specific

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