A general explicit solution of the central overlap problem

Details A general explicit solution of the central overlap problem A general explicit solution of the central overlap problem

Nov 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...334..465e&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 334, Nov. 1, 1988, p. 465-469.

Statistics

Computation

20

Astrometry, Computational Astrophysics, Stellar Motions, Stellar Parallax, Mathematical Models, Matrices (Mathematics)

Scientific paper

The matrix of the normal equations of a central overlapping-plate solution with general models for frame parameters and the star parameters (providing, e.g., for an estimate of the parallax of each star) is inverted explicitly in terms of the inverses of the matrices in the isolated systems for the frame parameters and the star parameters. This allows one, without actually inverting the matrix of the system numerically, to calculate from explicit formulae those numerical estimates of the star parameters and the frame parameters which would follow from a rigorous overlapping-plate solution as well as to calculate rigorously the covariance matrix of the adjustment parameters.

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