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    Gravitational waves and small-field astrometry

    Robin Geyer*, Sven Zschocke, Michael Soffel, and Sergei Klioner

    Lennart Lindegren

    Uwe Lammers

    • Lund Observatory, Division of Astrophysics, Department of Physics, Lund University, Box 43, 22100 Lund, Sweden

    • European Space Agency (ESA), European Space Astronomy Centre (ESAC), Camino bajo del Castillo, s/n, Urbanización Villafranca del Castillo, Villanueva de la Cañada, 28692 Madrid, Spain

    • *Contact author: robin.geyer@tu-dresden.de

    Phys. Rev. D 113, 043021 – Published 11 February, 2026

    DOI: https://doi.org/10.1103/l59s-fz3z

    Abstract

    Astrometric observations can, in principle, be used to detect gravitational waves. In this paper, we give a practical overview of the gravitational wave effects which can be expected specifically in small-field astrometric data. Particular emphasis is placed on the differential effect between pairs of sources within a finite field of view. We also present several general findings that are not restricted to the small-field case. A detailed theoretical derivation of the general astrometric effect of a plane gravitational wave is provided. Numerical simulations, which underline our theoretical findings, are presented. We find that small-field missions suffer from significant detrimental properties, largely because their relatively small fields only allow the measurement of small differential effects which can be expected to be almost totally absorbed by standard plate calibrations.

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