Geodetic Heights: Fid-Bau Portal

Geodetic Heights

Sansò, Fernando / Reguzzoni, Mirko / Barzaghi, Riccardo

Intro -- Foreword -- Contents -- 1 Introduction -- References -- 2 General Coordinates in mathcalR3 -- 2.1 Outline -- 2.2 Definitions and Reminds -- 2.3 Relevant Examples -- 2.3.1 Cartesian Coordinates -- 2.3.2 Spherical Coordinates -- 2.3.3 Ellipsoidal Coordinates -- References -- 3 The Earth Gravity Field: Basics -- 3.1 Outline -- 3.2 Basic Definitions of Gravity and Gravity Potential -- 3.3 Plumb Lines and Equipotential Surfaces -- 3.4 The Gravity Field Outside a Brillouin Sphere -- 3.5 The Normal Gravity Field -- 3.6 Definition of the Geoid -- References -- 4 The Anomalous Potential and Its Determination -- 4.1 Outline -- 4.2 The Anomalous Potential -- 4.3 The Runge-Krarup Theorem: A Mathematical Intermezzo -- 4.4 Optimal Degree of Global Models, or Smoothing by Truncation -- 4.5 Collocation Theory, or Smoothing by Prior Information -- 4.6 On the Relation Between Potential and the Surface Gravimetric Observables -- 4.6.1 Gravimetry -- 4.6.2 Levelling Combined with Gravimetry -- 4.6.3 Radar-Altimetry on the Oceans -- 4.7 The Geodetic Boundary Value Problem (GBVP) -- References -- 5 Geodetic Coordinate Systems -- 5.1 Outline -- 5.2 On the Continuation of Gravity into the Topographic Layer -- 5.3 The Hotine-Marussi Triad (Λ,Φ,W) -- 5.4 The Helmert Triad (Λ,Φ,H) -- 5.5 The Molodensky Triad (λ,,h*) -- References -- 6 The Relation Between Levelling, Geodetic and Other Unholonomic Heights -- 6.1 Outline -- 6.2 The Observation Equation of ΔL in Terms of Dynamic Heights -- 6.3 The Observation Equation of ΔL in Terms of Normal Heights -- 6.4 The Observation Equation of ΔL in Terms of Orthometric Heights -- 6.5 Levelling and Normal Orthometric Heights: An Unholonomic Coordinate -- 6.6 Conclusions -- References -- 7 The Height Datum Problem -- 7.1 Outline -- 7.2 Formulation of the Global Unification of the Height Datum.