Correlated and zonal errors of global astrometric missions: a spherical harmonic solution

We propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated observational equations are set up and solved for the coeffici...

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Bibliographic Details
Published in:arXiv.org 2012-05
Main Authors: Makarov, V V, Dorland, B N, Gaume, R A, Hennessy, G S, Berghea, C T, Dudik, R P, Schmitt, H R
Format: Article
Language:English
Subjects:
Astrometry
Computer simulation
Correlation
Jasmine
Missions
Parameter estimation
Spherical harmonics
Online Access:Get full text
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Summary:We propose a computer-efficient and accurate method of estimation of spatially correlated errors in astrometric positions, parallaxes and proper motions obtained by space and ground-based astrometry missions. In our method, the simulated observational equations are set up and solved for the coefficients of scalar and vector spherical harmonics representing the output errors, rather than for individual objects in the output catalog. Both accidental and systematic correlated errors of astrometric parameters can be accurately estimated. The method is demonstrated on the example of the JMAPS mission, but can be used for other projects of space astrometry, such as SIM or JASMINE.
ISSN:2331-8422
DOI:10.48550/arxiv.1205.5507