Titlebook: Relativistic Geodesy; Foundations and Appl Dirk Puetzfeld,Claus Lämmerzahl Book 2019 Springer Nature Switzerland AG 2019 Future space navig

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World-Line Perturbation Theory, In General Relativity such a world-line formalism is not quite straightforward because of the strict impossibility to accommodate point masses and rigid bodies. In many situations of practical interest it can still be made to work using an effective hamiltonian or energy-momentum tensor for a finit

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On the Applicability of the Geodesic Deviation Equation in General Relativity,ric spacetimes. In the Schwarzschild spacetime, the solution is used to model satellite orbit constellations and their deviations around a spherically symmetric Earth model. We investigate the spatial shape and orbital elements of perturbations of circular reference curves. In particular, we reconsi

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Can Spacetime Curvature be Used in Future Navigation Systems?,n .form from which the components of the orthonormal tetrad are obtained by using the first structure equation. This opens the possibility of using the curvature of astrophysical objects like the Earth to determine the position of freely falling satellites that are used in modern navigation systems.

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World-Line Perturbation Theory,ases families of world lines of compact bodies in curved space-times can be constructed by a perturbative procedure based on generalized geodesic deviation equations. Examples for simple test masses and for spinning test bodies are presented.

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Tests of General Relativity with the LARES Satellites,ith the laser-ranged satellite LAGEOS of NASA, is aimed to provide a 0.2% test of frame-dragging together with other relevant tests and determinations in fundamental physics, space geodesy and geodynamics.

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