Types of Operations 4.74.9

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