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Titlebook: Geodetic Theory Today; Third Hotine-Marussi Fernando Sansò Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995 applied relat

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The short-arc approach to laser ranging analysisnation of the coordinates of ground stations and their temporal variations. The method makes use of very short orbital arcs (lasting less than two hours for LAGEOS) observed almost simultaneously by at least three stations and is particularly addressed to the solution of “local” networks (of contine
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Conformal Structures and Reference Frames in the Post-Newtonian Approximation to General Relativitybe more specific, let . be the Newtonian potential in the vicinity of the Earth and . the velocity of light. Then one obtains ./.. ≈ 10.; which expresses essentially the weakness of the gravitational field.
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The short-arc approach to laser ranging analysisnation of station positions even with a simplified dynamics, as it is shown by a test campaign involving six European stations for a duration of seven years. We propose a modification of the method which should reduce its sensitivity to large systematic errors in the observations and improve the stochastic model.
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https://doi.org/10.1007/978-3-662-40423-2 (.) If the differential equation .. = ./∥.∥ of a plumbline is gauged instead of arc length s to . time . by means of . = ∥.∥ .(.) for an arbitrary function .(.) (.) the differential equation of a plumbline reads . as a .. (. = 1,2,3).
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