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Analysis of astrometric catalogues with vector spherical harmonics

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arxiv 1207.0025 v3 pith:IJTYNFFX submitted 2012-06-29 astro-ph.IM gr-qc

Francois Mignard , Sergei Klioner This is my paper · ORCID
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keywords decompositionastrometriccataloguescomponentsharmonicsprinciplespropertiesrotation
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Comparison of stellar catalogues with position and proper motion components using a decomposition on a set of orthogonal vector spherical harmonics. We show the theoretical and practical advantages of this technique as a result of invariance properties and the independence of the decomposition from a prior model. We describe the mathematical principles used to perform the spectral decomposition, evaluate the level of significance of the multipolar components and examine the transformation properties under space rotation. The principles are illustrated with a characterisation of the systematic effects in the FK5 catalogue compared to Hipparcos and with an application to the extraction of the rotation and dipole acceleration in the astrometric solution of QSOs expected from Gaia.

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Cited by 3 Pith papers

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  1. First astrometric constraints on parity-violation in the gravitational wave background

    astro-ph.CO 2025-05 unverdicted novelty 7.0 of 10

    First astrometric constraints on parity-violating SGWB amplitude are reported as h70²ΩV = -0.020 ± 0.025 (Gaia) and -0.004 ± 0.010 (VLBA) at 2σ, consistent with zero, over 4.2e-18 Hz to 1.1e-8 Hz.

  2. Gaia parallax bias via spherical harmonics: A Python tool and discussion of possible causes

    astro-ph.GA 2026-08 conditional novelty 6.0 of 10

    A spherical-harmonic fit to a million quasar parallaxes yields a sky-map correction tool for Gaia DR3, revealing a dipole-like pattern and showing the zero-point leaks into proper motions.

  3. Synergies Between Pulsar Timing Array and Astrometry

    astro-ph.IM 2026-06 unverdicted novelty 4.0 of 10

    Joint SKA PTA and astrometry analysis improves gravitational wave background detection sensitivity by 10-50%.

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