A comparison between two strategies of data reduction for the Hipparcos project

Bucciarelli, B.; Lattanzi, M. G.; Migliaccio, F.; Sansò, F.

doi:10.1016/0273-1177(91)90474-x

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…von der Heide 1977), using the natural sparsity and structure of the design matrix. Briefly, there have been two algorithms considered for large astrometric problems, the iterative block adjustment and the global direct solution (Bucciarelli et al 1991). Hipparcos, the only implemented astrometric space mission thus far, relied on the iterative adjustment, in which the major blocks of unknown parameters were estimated and updated in turns, while keeping the other types of parameters fixed, resulting in a number of iterations across the range of mission parameters.…”

Section: Observational Equations and Quasar Constraintsmentioning

confidence: 99%

Correlated and Zonal Errors of Global Astrometric Missions: A Spherical Harmonic Solution

Макаров¹,

Dorland²,

Gaume³

et al. 2012

The Astronomical Journal

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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.

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Section: Observational Equations and Quasar Constraintsmentioning

confidence: 99%

Correlated and Zonal Errors of Global Astrometric Missions: A Spherical Harmonic Solution

Макаров¹,

Dorland²,

Gaume³

et al. 2012

The Astronomical Journal

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Accuracy and Covariance Analysis of Global Astrometry with theSpace Interferometry Mission

Макаров¹,

Milman²

2005

PUBL ASTRON SOC PAC

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ABSTRACT.Construction of an all-sky microarcsecond astrometric grid is an essential preliminary step toward global astrometry with the Space Interferometry Mission (SIM). The general setup of the global astrometry problem is given, and fast, robust algorithms to solve the problem are described. The results of extensive numerical simulations are used to outline the conditions necessary to achieve the performance goal of absolute astrometric accuracy. Rigorous computation of the global covariance matrix makes it possible to correctly interpret and utilize the SIM data. We formulate and resolve the new issue of the basic performance uncertainty of a single astrometric mission.

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A comparison between two strategies of data reduction for the Hipparcos project

Cited by 2 publications

References 2 publications

Correlated and Zonal Errors of Global Astrometric Missions: A Spherical Harmonic Solution

Correlated and Zonal Errors of Global Astrometric Missions: A Spherical Harmonic Solution

Accuracy and Covariance Analysis of Global Astrometry with theSpace Interferometry Mission

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