Analysis of astrometric catalogues with vector spherical harmonics

  title={Analysis of astrometric catalogues with vector spherical harmonics},
  author={François Mignard and S. Klioner},
  journal={Astronomy and Astrophysics},
Aims. We compare stellar catalogues with position and proper motion components using a decomposition on a set of orthogonal vector spherical harmonics. We aim to 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. Methods. We describe the mathematical principles used to perform the spectral decomposition, evaluate the level of significance of the multipolar components, and examine the… Expand

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