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International Celestial Reference System and its realizations

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In astronomy , coordinate systems are used for specifying positions of celestial objects ( satellites , planets , stars , galaxies , etc.) relative to a given reference frame , based on physical reference points available to a situated observer (e.g. the true horizon and north to an observer on Earth's surface). Coordinate systems in astronomy can specify an object's relative position in three-dimensional space or plot merely by its direction on a celestial sphere , if the object's distance is unknown or trivial.

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38-628: The International Celestial Reference System ( ICRS ) is the current standard celestial reference system adopted by the International Astronomical Union (IAU). Its origin is at the barycenter of the Solar System , with axes that are intended to "show no global rotation with respect to a set of distant extragalactic objects". This fixed reference system differs from previous reference systems, which had been based on Catalogues of Fundamental Stars that had published

76-459: A measurement of the position of a planet or spacecraft is made. There are also subdivisions into "mean of date" coordinates, which average out or ignore nutation , and "true of date," which include nutation. The fundamental plane is the plane of the Earth's orbit, called the ecliptic plane. There are two principal variants of the ecliptic coordinate system: geocentric ecliptic coordinates centered on

114-438: A measurement system such as a seismograph , the physical noise floor may be set by the incidental noise, and may include nearby foot traffic or a nearby road. The noise floor limits the smallest measurement that can be taken with certainty since any measured amplitude can on average be no less than the noise floor. A common way to lower the noise floor in electronics systems is to cool the system to reduce thermal noise, when this

152-594: A particular coordinate frame". A reference system is a broader concept, encompassing "the totality of procedures, models and constants that are required for the use of one or more reference frames". The ICRF is based on hundreds of extra-galactic radio sources , mostly quasars , distributed around the entire sky. Because they are so distant, they are apparently stationary to our current technology, yet their positions can be measured very accurately by Very Long Baseline Interferometry (VLBI). The positions of most are known to 1 milliarcsecond (mas) or better. In August 1997,

190-528: A prototype version of the forthcoming ICRF3 using 2820 objects common to Gaia -CRF2 and to the ICRF3 prototype. The third Gaia celestial reference frame ( Gaia –CRF3) is based on 33 months of observations of 1,614,173 extragalactic sources. As with the earlier Hipparcos and Gaia reference frames, the axes of Gaia -CRF3 were aligned to 3142 optical counterparts of ICRF-3 in the S/X frequency bands. In August 2021

228-759: A variety of linking techniques, the coordinate axes defined by the Hipparcos catalogue were aligned with the extragalactic radio frame. In August 1997, the International Astronomical Union recognized in Resolution B2 of its XXIIIrd General Assembly "That the Hipparcos Catalogue was finalized in 1996 and that its coordinate frame is aligned to that of the frame of the extragalactic sources [ICRF1] with one sigma uncertainties of ±0.6 milliarcseconds (mas)" and resolved "that

266-448: Is defined by the position of 295 compact radio sources (97 of which also define ICRF1). Alignment of ICRF2 with ICRF1-Ext2, the second extension of ICRF1, was made with 138 sources common to both reference frames. Including non-defining sources, it comprises 3414 sources measured using very-long-baseline interferometry . The ICRF2 has a noise floor of approximately 40 μas and an axis stability of approximately 10 μas. Maintenance of

304-408: Is given beneath each case. This division is ambiguous because tan has a period of 180° ( π ) whereas cos and sin have periods of 360° (2 π ). Azimuth ( A ) is measured from the south point, turning positive to the west. Zenith distance, the angular distance along the great circle from the zenith to a celestial object, is simply the complementary angle of the altitude: 90° − a . In solving

342-429: Is named after its choice of fundamental plane. The following table lists the common coordinate systems in use by the astronomical community. The fundamental plane divides the celestial sphere into two equal hemispheres and defines the baseline for the latitudinal coordinates, similar to the equator in the geographic coordinate system . The poles are located at ±90° from the fundamental plane. The primary direction

380-473: Is still the center of the coordinate system, and the zero point is defined as the direction towards the Galactic Center . Galactic latitude resembles the elevation above the galactic plane and galactic longitude determines direction relative to the center of the galaxy. The supergalactic coordinate system corresponds to a fundamental plane that contains a higher than average number of local galaxies in

418-483: Is the major noise source. In special circumstances, the noise floor can also be artificially lowered with digital signal processing techniques. Signals that are below the noise floor can be detected by using different techniques of spread spectrum communications, where signal of a particular information bandwidth is deliberately spread in the frequency domain resulting in a signal with a wider occupied bandwidth. Every additional 6.02 dB of noise floor corresponds to

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456-448: Is the starting point of the longitudinal coordinates. The origin is the zero distance point, the "center of the celestial sphere", although the definition of celestial sphere is ambiguous about the definition of its center point. The horizontal , or altitude-azimuth , system is based on the position of the observer on Earth, which revolves around its own axis once per sidereal day (23 hours, 56 minutes and 4.091 seconds) in relation to

494-560: The Gaia -CRF is an inertial barycentric reference frame defined by optically measured positions of extragalactic sources by the Gaia satellite and whose axes are rotated to conform to the ICRF. Although general relativity implies that there are no true inertial frames around gravitating bodies, these reference frames are important because they do not exhibit any measurable angular rotation since

532-642: The International Astronomical Union resolved in Resolution B2 of its XXIIIrd General Assembly "that the Hipparcos Catalogue shall be the primary realization of the ICRS at optical wavelengths." The Hipparcos Celestial Reference Frame (HCRF) is based on a subset of about 100,000 stars in the Hipparcos Catalogue . In August 2021 the International Astronomical Union decided in Resolution B3 of its XXXIst General Assembly "that as from 1 January 2022,

570-480: The noise floor is the measure of the signal created from the sum of all the noise sources and unwanted signals within a measurement system, where noise is defined as any signal other than the one being monitored. In radio communication and electronics, this may include thermal noise , black body , cosmic noise as well as atmospheric noise from distant thunderstorms and similar and any other unwanted man-made signals, sometimes referred to as incidental noise. If

608-419: The tan( A ) equation for A , in order to avoid the ambiguity of the arctangent , use of the two-argument arctangent , denoted arctan( x , y ) , is recommended. The two-argument arctangent computes the arctangent of ⁠ y / x ⁠ , and accounts for the quadrant in which it is being computed. Thus, consistent with the convention of azimuth being measured from the south and opening positive to

646-517: The Earth and heliocentric ecliptic coordinates centered on the center of mass of the Solar System. The geocentric ecliptic system was the principal coordinate system for ancient astronomy and is still useful for computing the apparent motions of the Sun, Moon, and planets. It was used to define the twelve astrological signs of the zodiac , for instance. The heliocentric ecliptic system describes

684-483: The Hipparcos Catalogue shall be the primary realization of the ICRS at optical wavelengths." The second Gaia celestial reference frame ( Gaia –CRF2), based on 22 months of observations of over half a million extragalactic sources by the Gaia spacecraft , appeared in 2018 and has been described as "the first full-fledged optical realisation of the ICRS, that is to say, an optical reference frame built only on extragalactic sources." The axes of Gaia -CRF2 were aligned to

722-741: The ICRF2 will be accomplished by a set of 295 sources that have especially good positional stability and unambiguous spatial structure. The data used to derive the reference frame come from approximately 30 years of VLBI observations, from 1979 to 2009. Radio observations in both the S-band (2.3 GHz) and X-band (8.4 GHz) were recorded simultaneously to allow correction for ionospheric effects. The observations resulted in about 6.5 million group-delay measurements among pairs of telescopes. The group delays were processed with software that takes into account atmospheric and geophysical processes. The positions of

760-696: The International Astronomical Union noted that the Gaia -CRF3 had "largely superseded the Hipparcos Catalogue" and was "de facto the optical realization of the Celestial Reference Frame within the astronomical community." Consequently, the IAU decided that Gaia -CRF3 shall be "the fundamental realization of the International Celestial Reference System (ICRS) ... for the optical domain." Celestial reference system Spherical coordinates , projected on

798-665: The catalogue. ICRF1 agrees with the orientation of the Fifth Fundamental Catalog (FK5) " J2000.0 " frame to within the (lower) precision of the latter. An updated reference frame ICRF2 was created in 2009. The update was a joint collaboration of the International Astronomical Union , the International Earth Rotation and Reference Systems Service , and the International VLBI Service for Geodesy and Astrometry . ICRF2

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836-432: The celestial sphere, are analogous to the geographic coordinate system used on the surface of Earth . These differ in their choice of fundamental plane , which divides the celestial sphere into two equal hemispheres along a great circle . Rectangular coordinates , in appropriate units , have the same fundamental ( x, y ) plane and primary ( x -axis) direction , such as an axis of rotation . Each coordinate system

874-475: The context of the ICRS, a reference frame (RF) is the physical realization of a reference system, i.e., the reference frame is the set of numerical coordinates of the reference sources, derived using the procedures spelled out by the ICRS. More specifically, the ICRF is an inertial barycentric reference frame whose axes are defined by the measured positions of extragalactic sources (mainly quasars ) observed using very-long-baseline interferometry while

912-410: The dominant noise is generated within the measuring equipment (for example by a receiver with a poor noise figure ) then this is an example of an instrumentation noise floor, as opposed to a physical noise floor. These terms are not always clearly defined, and are sometimes confused. Avoiding interference between electrical systems is the distinct subject of electromagnetic compatibility (EMC). In

950-609: The effect of the galactocentric acceleration of the solar system, a new feature over and above ICRF2. ICRF3 also includes measurements at three frequency bands, providing three independent, and slightly different, realizations of the ICRS: dual frequency measurements at 8.4 GHz ( X band ) and 2.3 GHz ( S band ) for 4536 sources; measurements of 824 sources at 24 GHz ( K band ), and dual frequency measurements at 32 GHz ( Ka band ) and 8.4 GHz ( X band) for 678 sources. Of these, 303 sources, uniformly distributed on

988-711: The equatorial coordinates of the North Galactic Pole and l NCP {\displaystyle l_{\text{NCP}}} is the Galactic longitude of the North Celestial Pole. Referred to J2000.0 the values of these quantities are: If the equatorial coordinates are referred to another equinox , they must be precessed to their place at J2000.0 before applying these formulae. These equations convert to equatorial coordinates referred to B2000.0 . Noise floor In signal theory ,

1026-420: The extragalactic sources used to define the ICRF and the Gaia -CRF are so far away. The ICRF and the Gaia -CRF are now the standard reference frames used to define the positions of astronomical objects . It is useful to distinguish reference systems and reference frames. A reference frame has been defined as "a catalogue of the adopted coordinates of a set of reference objects that serves to define, or realize,

1064-632: The fundamental realization of the International Celestial Reference System (ICRS) shall comprise the Third Realization of the International Celestial Reference Frame (ICRF3) for the radio domain and the Gaia-CRF3 for the optical domain." The ICRF, now called ICRF1, was adopted by the International Astronomical Union (IAU) as of 1 January 1998. ICRF1 was oriented to the axes of the ICRS, which reflected

1102-399: The location of stars relative to Earth's equator if it were projected out to an infinite distance. The equatorial describes the sky as seen from the Solar System , and modern star maps almost exclusively use equatorial coordinates. The equatorial system is the normal coordinate system for most professional and many amateur astronomers having an equatorial mount that follows the movement of

1140-530: The planets' orbital movement around the Sun, and centers on the barycenter of the Solar System (i.e. very close to the center of the Sun). The system is primarily used for computing the positions of planets and other Solar System bodies, as well as defining their orbital elements . The galactic coordinate system uses the approximate plane of the Milky Way Galaxy as its fundamental plane. The Solar System

1178-429: The positions of stars based on direct "observations of [their] equatorial coordinates , right ascension and declination" and had adopted as "privileged axes ... the mean equator and the dynamical equinox" at a particular date and time . The International Celestial Reference Frame ( ICRF ) is a realization of the International Celestial Reference System using reference celestial sources observed at radio wavelengths. In

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1216-502: The prior astronomical reference frame The Fifth Fundamental Catalog (FK5) . It had an angular noise floor of approximately 250 microarcseconds (μas) and a reference axis stability of approximately 20 μas; this was an order-of-magnitude improvement over the previous reference frame derived from (FK5). The ICRF1 contains 212 defining sources and also contains positions of 396 additional non-defining sources for reference. The positions of these sources have been adjusted in later extensions to

1254-601: The reference sources were treated as unknowns to be solved for by minimizing the mean squared error across group-delay measurements. The solution was constrained to be consistent with the International Terrestrial Reference Frame (ITRF2008) and earth orientation parameters (EOP) systems. ICRF3 is the third major revision of the ICRF, and was adopted by the IAU in August 2018 and became effective 1 January 2019. The modeling incorporates

1292-408: The sky as seen from Earth. Conversions between the various coordinate systems are given. See the notes before using these equations. The classical equations, derived from spherical trigonometry , for the longitudinal coordinate are presented to the right of a bracket; dividing the first equation by the second gives the convenient tangent equation seen on the left. The rotation matrix equivalent

1330-405: The sky during the night. Celestial objects are found by adjusting the telescope's or other instrument's scales so that they match the equatorial coordinates of the selected object to observe. Popular choices of pole and equator are the older B1950 and the modern J2000 systems, but a pole and equator "of date" can also be used, meaning one appropriate to the date under consideration, such as when

1368-430: The sky, are identified as "defining sources" which fix the axes of the frame. ICRF3 also increases the number of defining sources in the southern sky. In 1991 the International Astronomical Union recommended "that observing programmes be undertaken or continued in order to ... determine the relationship between catalogues of extragalactic source positions and ... the [stars of the] FK5 and Hipparcos catalogues ." Using

1406-487: The star background. The positioning of a celestial object by the horizontal system varies with time, but is a useful coordinate system for locating and tracking objects for observers on Earth. It is based on the position of stars relative to an observer's ideal horizon. The equatorial coordinate system is centered at Earth's center, but fixed relative to the celestial poles and the March equinox . The coordinates are based on

1444-617: The west, where If the above formula produces a negative value for A , it can be rendered positive by simply adding 360°. Again, in solving the tan( h ) equation for h , use of the two-argument arctangent that accounts for the quadrant is recommended. Thus, again consistent with the convention of azimuth being measured from the south and opening positive to the west, where These equations are for converting equatorial coordinates to Galactic coordinates. α G , δ G {\displaystyle \alpha _{\text{G}},\delta _{\text{G}}} are

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