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Relativistic effects in the rotation of Jupiter's inner satellites

100%

Pashkevich V. V. , Vershkov A. N.

tom Vol. 55, No. 3

118--129

The most significant relativistic effects (the geodetic precession and the geodetic nutation, which consist of the effect of the geodetic rotation) in the rotation of Jupiter's inner satellites were investigated in this research. The calculations of the most essential secular and periodic terms of the geodetic rotation were carried out by the method for studying any bodies of the solar system with long-time ephemeris. As a result, for these Jupiter’s satellites, these terms of their geodetic rotation were first determined in the rotational elements with respect to the International Celestial Reference Frame (ICRF) equator and the equinox of the J2000.0 and in the Euler angles relative to their proper coordinate systems. The study shows that in the solar system there are objects with significant geodetic rotation, due primarily to their proximity to the central body, and not to its mass.

Research on general theory and methodology in geodesy in Poland in 2019–2022

72%

Klos A. , Ligas M. , Trojanowicz M.

Advances in Geodesy and Geoinformation

2023

tom Vol. 72, no. 1

art. no. e40, 2023

We present a summary of research carried out in 2019–2022 in Poland in the area of general theory and methodology in geodesy. The study contains a description of original contributions by authors affiliated with Polish scientific institutions. It forms part of the national report presented at the 28th General Assembly of the International Union of Geodesy and Geophysics (IUGG) taking place on 11-20 July 2023 in Berlin, Germany. The Polish authors developed their research in the following thematic areas: robust estimation and its applications, prediction problems, cartographic projections, datum transformation problems and geometric geodesy algorithms, optimization and design of geodetic networks, geodetic time series analysis, relativistic effects in GNSS (Global Navigation Satellite System) and precise orbit determination of GNSS satellites. Much has been done on the subject of estimating the reliability of existing algorithms, but also improving them or studying relativistic effects. These studies are a continuation of work carried out over the years, but also they point to new developments in both surveying and geodesy.We hope that the general theory and methodology will continue to be so enthusiastically developed by Polish authors because although it is not an official pillar of geodesy, it is widely applicable to all three pillars of geodesy.

Czas i względność

72%

Dobrogowski A.

tom nr 5

176-182

Efekty relatywistyczne stały się powodem rozróżnienia pomiędzy czasem własnym i czasem koordynatowym. Metryka Minkowskiego czasoprzestrzeni pozwala stwierdzić wydłużenie czasu w przemieszczających się układach inercjalnych. Geometria czasoprzestrzeni Riemanna indentyfikuje wpływ potencjału grawitacyjnego i dośrodkowego na bieg czasu oraz efekt Sagnaca. Przedyskutowano synchronizację koordynatową zegarów.

Relativistic effects forced the introducing of differentiation between proper and coordinate time. Spacetime of Minkowski metric makes it possible to investigate time dilation in moving inertial frames. Riemann's geometry of spacetime identifies the influence of gravitational and centrifugal potentials on time as well as Sagnac effect. Coordinate synchronization of clocks is discussed.