Intrinsic Geodesy

Front Matter....Pages I-XVII
Front Matter....Pages 1-1
From Classical Geodesy to Geodesy in Three Dimensions....Pages 3-12
Foundations of Intrinsic Geodesy....Pages 13-58
Generalized Legendre Expansions for Any Curve Whatever, Traced Out Upon Any Surface Whatever....Pages 59-65
Generalized Legendre Expansions in Space....Pages 66-69
Generalized Legendre Expansions for Any Curve Whatever in Space....Pages 70-74
The Tidal Field of a Planet and the Related Intrinsic Reference Systems....Pages 75-83
Front Matter....Pages 85-85
On the Curvature and Torsion of the Gravity Field....Pages 87-91
Generalization of Dalby’s Theorem for Any Surface Whatever....Pages 92-97
Front Matter....Pages 99-99
Principles of Intrinsic Geodesy Applied to the Field of Somigliana....Pages 101-108
The First Fundamental Problem of Geodesy Developed for the Field of Somigliana....Pages 109-117
Differential Parameters in the Normal Gravity Field....Pages 118-122
Front Matter....Pages 123-123
On the Representation of the Geoid on the Ellipsoid....Pages 125-130
Some Remarks on the Use of Conformal Representations in Three-Dimensional Geodesy....Pages 131-134
On the Three-Dimensional Computation of Geodetic Networks and Anomalies....Pages 135-141
The Adjustment of Geodetic Networks in the Three-Dimensional Ellipsoidal Model Space of Somigliana....Pages 142-146
Front Matter....Pages 147-147
Some Integral Properties of the Conformal Representations of Surfaces on Surfaces....Pages 149-152
The a Priori Determination of the Modulus of Linear Deformation in the Gauss Conformal Representation....Pages 153-156
Representations Between Surfaces Defined by Means of the Quadratic Form Which Determines Their Modulus of Deformation....Pages 157-166
Front Matter....Pages 167-167
An Analogy Between the Laws of Propagation of Light in Continuous Isotropic Refracting Media and Conformal Representations....Pages 169-172
The Torsion of a Ray of Light in a Continuous Isotropic Refracting Medium....Pages 173-176
Front Matter....Pages 177-177
The Motion of a Free Particle and of a Spherical Pendulum in the Microgravitational Field of a Gravitationally Stabilized Satellite in Circular Orbit in a Central Field....Pages 179-189
Back Matter....Pages 190-219