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USNO Circular 179 - U.S. Naval Observatory

USNO Circular 179 - U.S. Naval Observatory

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20 CELESTIAL REFERENCE SYSTEM<br />

3.1 The ICRS, the ICRF, and the HCRF<br />

The fundamental celestial reference system for astronomical applications is now the International<br />

Celestial Reference System (ICRS), as provided in res. B2 of 1997. The ICRS is a coordinate<br />

system with its origin at the solar system barycenter and axis directions that are fixed with respect<br />

to distant objects in the universe; it is to be used to express the positions and motions of stars,<br />

planets, and other celestial objects. Its relativistic basis is defined by res. B1.3 of 2000; in the<br />

words of that resolution, it is a Barycentric Celestial Reference System (BCRS), and as such its<br />

axes are kinematically non-rotating (see Chapter 1). To establish the ICRS as a practical system,<br />

the IAU specified a set of distant benchmark objects, observable at radio wavelengths, whose<br />

adopted coordinates effectively define the directions of the ICRS axes. This “realization” of the<br />

ICRS, called the International Celestial Reference Frame (ICRF), is a set of high accuracy positions<br />

of extragalactic radio sources measured by very long baseline interferometry (Ma & Feissel 1997;<br />

Ma et al. 1998). The ICRS is realized at optical wavelengths — but at lower accuracy — by the<br />

Hipparcos Celestial Reference Frame (HCRF), consisting of the Hipparcos Catalogue (ESA 1997)<br />

of star positions and motions, with certain exclusions (res. B1.2 of 2000). The coordinates of the<br />

ICRF radio sources and HCRF stars are given relative to the ICRS origin at the solar system<br />

barycenter, and a number of transformations are required to obtain the coordinates that would be<br />

observed from a given location on Earth at a specific date and time.<br />

Although the directions of the ICRS coordinate axes are not defined by the kinematics of the<br />

Earth, the ICRS axes (as implemented by the ICRF and HCRF) closely approximate the axes<br />

that would be defined by the mean Earth equator and equinox of J2000.0 (to within about 0.02<br />

arcsecond), if the latter is considered to be a barycentric system. Because the ICRS axes are<br />

meant to be “space fixed”, i.e., kinematically non-rotating, there is no date associated with the<br />

ICRS. Furthermore, since the defining radio sources are assumed to be so distant that their angular<br />

motions, seen from Earth, are negligible, there is no epoch associated with the ICRF. It is technically<br />

incorrect, then, to say that the ICRS is a “J2000.0 system”, even though for many current data<br />

sources, the directions in space defined by the equator and equinox of J2000.0 and the ICRS axes<br />

are the same to within the errors of the data.<br />

The ICRS, with its origin at the solar system barycenter and “space fixed” axis directions,<br />

is meant to represent the most appropriate coordinate system currently available for expressing<br />

reference data on the positions and motions of celestial objects.<br />

The IAU Working Group on Nomenclature for Fundamental Astronomy has recommended the<br />

following definitions for the ICRS and ICRF:<br />

International Celestial Reference System (ICRS): The idealized barycentric coordinate<br />

system to which celestial positions are referred. It is kinematically non-rotating<br />

with respect to the ensemble of distant extragalactic objects. It has no intrinsic orientation<br />

but was aligned close to the mean equator and dynamical equinox of J2000.0<br />

for continuity with previous fundamental reference systems. Its orientation is independent<br />

of epoch, ecliptic or equator and is realized by a list of adopted coordinates of<br />

extragalactic sources.<br />

International Celestial Reference Frame (ICRF): A set of extragalactic objects<br />

whose adopted positions and uncertainties realize the ICRS axes and give the uncertainties<br />

of the axes. It is also the name of the radio catalogue whose 212 defining sources<br />

are currently the most accurate realization of the ICRS. Note that the orientation of the<br />

ICRF catalogue was carried over from earlier IERS radio catalogs and was within the

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