Solar coordinate systems

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In solar observation and imaging, coordinate systems are used to identify and communicate locations on and around the Sun. The Sun is made of plasma, so there are no permanent demarcated points that can be referenced.

Contents

Background

The Sun is a rotating sphere of plasma at the center of the Solar System. It lacks a solid or liquid surface, so the interface separating its interior and its exterior is usually defined as the boundary where plasma becomes opaque to visible light, the photosphere. Since plasma is gaseous in nature, this surface has no permanent demarcated points that can be used for reference. Furthermore, its rate of rotation varies with latitude, rotating faster at the equator than at the poles. [1] [2]

Cardinal directions

In this image of the Sun's chromosphere, the cardinal directions are indicated by a compass rose in the top-left corner: north is up (|), west is right (-), south is down (|), and east is left (-). BBSO H-alpha solar disk 2002-07-24.jpg
In this image of the Sun's chromosphere, the cardinal directions are indicated by a compass rose in the top-left corner: north is up (↑), west is right (→), south is down (↓), and east is left (←).

In observations of the solar disk, cardinal directions are typically defined so that the Sun's northern and southern hemispheres point toward Earth's northern and southern celestial poles, respectively, and the Sun's eastern and western hemispheres point toward Earth's eastern and western horizons, respectively. In this scheme, clockwise from north at 90° intervals one encounters west, south, and east, and the direction of solar rotation is from east to west. [3] [4]

Heliographic

Heliographic coordinate systems are used to identify locations on the Sun's surface. The two most commonly used systems are the Stonyhurst and Carrington systems. They both define latitude as the angular distance from the solar equator, but differ in how they define longitude. In Stonyhurst coordinates, the longitude is fixed for an observer on Earth, and, in Carrington coordinates, the longitude is fixed for the Sun's rotation. [5] [6] [7] [8]

Stonyhurst system

The Stonyhurst heliographic coordinate system, developed at Stonyhurst College in the 1800s, has its origin (where longitude and latitude are both 0°) at the point where the solar equator intersects the central solar meridian as seen from Earth. Longitude in this system is therefore fixed for observers on Earth. [8] [5]

Carrington system

The Carrington heliographic coordinate system, established by Richard C. Carrington in 1863, rotates with the Sun at a fixed rate based on the observed rotation of low-latitude sunspots. It rotates with a sidereal period of exactly 25.38 days, which corresponds to a mean synodic period of 27.2753 days. [9] :221 [1] [2] [5]

Whenever the Carrington prime meridian (the line of 0° Carrington longitude) passes the Sun's central meridian as seen from Earth, a new Carrington rotation begins. These rotations are numbered sequentially, with Carrington rotation number 1 starting on 9 November 1853. [10] [11] [12] [7] :278

Heliocentric

Heliocentric coordinate systems measure spatial positions relative to an origin at the Sun's center. There are four systems in use: the heliocentric inertial (HCI) system, the heliocentric Aries ecliptic (HAE) system, the heliocentric Earth ecliptic (HEE) system, and the heliocentric Earth equatorial (HEEQ) system. They are summarized in the following table. The third axis not presented in the table completes a right-handed Cartesian triad. [1] [13] [14] [15]

Common heliocentric coordinate systems
NameAbbreviation+X-axis+Z-axis
Heliocentric inertialHCISolar ascending node on eclipticSolar rotational axis
Heliocentric Aries eclipticHAE First point of Aries Ecliptic north pole
Heliocentric Earth eclipticHEESun–Earth lineEcliptic north pole
Heliocentric Earth equatorHEEQIntersection between solar equator and solar central meridian as seen from EarthSolar rotational axis

See also

Related Research Articles

<span class="mw-page-title-main">Ecliptic</span> Apparent path of the Sun on the celestial sphere

The ecliptic or ecliptic plane is the orbital plane of Earth around the Sun. From the perspective of an observer on Earth, the Sun's movement around the celestial sphere over the course of a year traces out a path along the ecliptic against the background of stars. The ecliptic is an important reference plane and is the basis of the ecliptic coordinate system.

<span class="mw-page-title-main">Latitude</span> Geographic coordinate specifying north–south position

In geography, latitude is a coordinate that specifies the north–south position of a point on the surface of the Earth or another celestial body. Latitude is given as an angle that ranges from −90° at the south pole to 90° at the north pole, with 0° at the Equator. Lines of constant latitude, or parallels, run east–west as circles parallel to the equator. Latitude and longitude are used together as a coordinate pair to specify a location on the surface of the Earth.

<span class="mw-page-title-main">Right ascension</span> Astronomical equivalent of longitude

Right ascension is the angular distance of a particular point measured eastward along the celestial equator from the Sun at the March equinox to the point in question above the Earth. When paired with declination, these astronomical coordinates specify the location of a point on the celestial sphere in the equatorial coordinate system.

<span class="mw-page-title-main">Celestial sphere</span> Imaginary sphere of arbitrarily large radius, concentric with the observer

In astronomy and navigation, the celestial sphere is an abstract sphere that has an arbitrarily large radius and is concentric to Earth. All objects in the sky can be conceived as being projected upon the inner surface of the celestial sphere, which may be centered on Earth or the observer. If centered on the observer, half of the sphere would resemble a hemispherical screen over the observing location.

<span class="mw-page-title-main">Astronomical coordinate systems</span> System for specifying positions of celestial objects

In astronomy, coordinate systems are used for specifying positions of celestial objects relative to a given reference frame, based on physical reference points available to a situated observer. Coordinate systems in astronomy can specify an object's position in three-dimensional space or plot merely its direction on a celestial sphere, if the object's distance is unknown or trivial.

<span class="mw-page-title-main">Equatorial coordinate system</span> Celestial coordinate system used to specify the positions of celestial objects

The equatorial coordinate system is a celestial coordinate system widely used to specify the positions of celestial objects. It may be implemented in spherical or rectangular coordinates, both defined by an origin at the centre of Earth, a fundamental plane consisting of the projection of Earth's equator onto the celestial sphere, a primary direction towards the March equinox, and a right-handed convention.

<span class="mw-page-title-main">Ecliptic coordinate system</span> Celestial coordinate system used to describe Solar System objects

In astronomy, the ecliptic coordinate system is a celestial coordinate system commonly used for representing the apparent positions, orbits, and pole orientations of Solar System objects. Because most planets and many small Solar System bodies have orbits with only slight inclinations to the ecliptic, using it as the fundamental plane is convenient. The system's origin can be the center of either the Sun or Earth, its primary direction is towards the March equinox, and it has a right-hand convention. It may be implemented in spherical or rectangular coordinates.

<span class="mw-page-title-main">Galactic coordinate system</span> Celestial coordinate system in spherical coordinates, with the Sun as its center

The galactic coordinate system is a celestial coordinate system in spherical coordinates, with the Sun as its center, the primary direction aligned with the approximate center of the Milky Way Galaxy, and the fundamental plane parallel to an approximation of the galactic plane but offset to its north. It uses the right-handed convention, meaning that coordinates are positive toward the north and toward the east in the fundamental plane.

<span class="mw-page-title-main">Sidereal time</span> Timekeeping system on Earth relative to the celestial sphere

Sidereal time is a system of timekeeping used especially by astronomers. Using sidereal time and the celestial coordinate system, it is easy to locate the positions of celestial objects in the night sky. Sidereal time is a "time scale that is based on Earth's rate of rotation measured relative to the fixed stars".

<span class="mw-page-title-main">Prime meridian</span> Line of longitude, at which longitude is defined to be 0°

A prime meridian is an arbitrarily-chosen meridian in a geographic coordinate system at which longitude is defined to be 0°. Together, a prime meridian and its anti-meridian form a great circle. This great circle divides a spheroid, like Earth, into two hemispheres: the Eastern Hemisphere and the Western Hemisphere. For Earth's prime meridian, various conventions have been used or advocated in different regions throughout history. Earth's current international standard prime meridian is the IERS Reference Meridian. It is derived, but differs slightly, from the Greenwich Meridian, the previous standard.

<span class="mw-page-title-main">Solar time</span> Calculation of elapsed time by the apparent position of the sun

Solar time is a calculation of the passage of time based on the position of the Sun in the sky. The fundamental unit of solar time is the day, based on the synodic rotation period. Traditionally, there are three types of time reckoning based on astronomical observations: apparent solar time and mean solar time, and sidereal time, which is based on the apparent motions of stars other than the Sun.

Richard Christopher Carrington was an English amateur astronomer whose 1859 astronomical observations demonstrated the existence of solar flares as well as suggesting their electrical influence upon the Earth and its aurorae; and whose 1863 records of sunspot observations revealed the differential rotation of the Sun.

<span class="mw-page-title-main">Solar rotation</span> Differential rotation of the Sun

Solar rotation varies with latitude. The Sun is not a solid body, but is composed of a gaseous plasma. Different latitudes rotate at different periods. The source of this differential rotation is an area of current research in solar astronomy. The rate of surface rotation is observed to be the fastest at the equator and to decrease as latitude increases. The solar rotation period is 25.67 days at the equator and 33.40 days at 75 degrees of latitude.

<span class="mw-page-title-main">Earth-centered, Earth-fixed coordinate system</span> 3-D coordinate system centered on the Earth

The Earth-centered, Earth-fixed coordinate system, also known as the geocentric coordinate system, is a cartesian spatial reference system that represents locations in the vicinity of the Earth as X, Y, and Z measurements from its center of mass. Its most common use is in tracking the orbits of satellites and in satellite navigation systems for measuring locations on the surface of the Earth, but it is also used in applications such as tracking crustal motion.

<span class="mw-page-title-main">Orbit of the Moon</span> The Moons circuit around Earth

The Moon orbits Earth in the prograde direction and completes one revolution relative to the Vernal Equinox and the stars in about 27.32 days and one revolution relative to the Sun in about 29.53 days. Earth and the Moon orbit about their barycentre, which lies about 4,670 km (2,900 mi) from Earth's centre, forming a satellite system called the Earth–Moon system. On average, the distance to the Moon is about 385,000 km (239,000 mi) from Earth's centre, which corresponds to about 60 Earth radii or 1.282 light-seconds.

The poles of astronomical bodies are determined based on their axis of rotation in relation to the celestial poles of the celestial sphere. Astronomical bodies include stars, planets, dwarf planets and small Solar System bodies such as comets and minor planets, as well as natural satellites and minor-planet moons.

<span class="mw-page-title-main">Earth-centered inertial</span> Coordinate frames

Earth-centered inertial (ECI) coordinate frames have their origins at the center of mass of Earth and are fixed with respect to the stars. "I" in "ECI" stands for inertial, in contrast to the "Earth-centered – Earth-fixed" (ECEF) frames, which remains fixed with respect to Earth's surface in its rotation, and then rotates with respect to stars.

<span class="mw-page-title-main">Stonyhurst Observatory</span> Observatory

The Stonyhurst Observatory is a functioning observatory and weather station at Stonyhurst College in Lancashire, England. Built in 1866, it replaced a nearby earlier building, built in 1838, which is now used as the Typographia Collegii.

This glossary of astronomy is a list of definitions of terms and concepts relevant to astronomy and cosmology, their sub-disciplines, and related fields. Astronomy is concerned with the study of celestial objects and phenomena that originate outside the atmosphere of Earth. The field of astronomy features an extensive vocabulary and a significant amount of jargon.

<span class="mw-page-title-main">Planetary coordinate system</span> Coordinate system for planets

A planetary coordinate system is a generalization of the geographic, geodetic, and the geocentric coordinate systems for planets other than Earth. Similar coordinate systems are defined for other solid celestial bodies, such as in the selenographic coordinates for the Moon. The coordinate systems for almost all of the solid bodies in the Solar System were established by Merton E. Davies of the Rand Corporation, including Mercury, Venus, Mars, the four Galilean moons of Jupiter, and Triton, the largest moon of Neptune.

References

  1. 1 2 3 Thompson, W. T. (April 2006). "Coordinate systems for solar image data". Astronomy & Astrophysics. 449 (2): 791–803. Bibcode:2006A&A...449..791T. doi:10.1051/0004-6361:20054262.
  2. 1 2 Ulrich, Roger K.; Boyden, John E. (May 2006). "Carrington Coordinates and Solar Maps". Solar Physics. 235 (1–2): 17–29. Bibcode:2006SoPh..235...17U. doi:10.1007/s11207-006-0041-5.
  3. Young, C. Alex; Cortés, Raúl (3 May 2022). "Why are east and west on the sun reversed?". EarthSky . Retrieved 17 May 2024.
  4. Jenkins, Jamey L. (2013). Observing the Sun: A Pocket Field Guide. New York, NY: Springer. pp. 128–129. ISBN   978-1-4614-8015-0.
  5. 1 2 3 Ridpath, Ian, ed. (2018). "heliographic coordinates". A Dictionary of Astronomy (3rd ed.). Oxford University Press. doi:10.1093/acref/9780191851193.001.0001. ISBN   978-0-19-185119-3.
  6. Sánchez-Bajo, F.; Vaquero, J. M. (1 May 2013). "Measuring solar rotation from digital camera images". European Journal of Physics. 34 (3): 527–536. Bibcode:2013EJPh...34..527S. doi:10.1088/0143-0807/34/3/527.
  7. 1 2 Stix, Michael (2002). The Sun: An Introduction . Astronomy and Astrophysics Library (2nd ed.). Berlin, Heidelberg: Springer. doi:10.1007/978-3-642-56042-2. ISBN   978-3-642-56042-2.
  8. 1 2 Çakmak, H. (November 2014). "Computer-aided measurement of the heliographic coordinates of sunspot groups". Experimental Astronomy. 38 (1–2): 77–89. arXiv: 1407.1626 . Bibcode:2014ExA....38...77C. doi:10.1007/s10686-014-9410-5.
  9. Carrington, R. C. (1863). Observations of the spots on the sun. London: Williams and Norgate.
  10. "Synoptic Maps". National Solar Observatory. 10 July 2018. Retrieved 21 December 2023.
  11. "Solar-Terrestrial Coordinate Systems". Wilcox Solar Observatory . Retrieved 21 December 2023.
  12. Thompson, W. T.; Wei, K. (January 2010). "Use of the FITS World Coordinate System by STEREO/SECCHI". Solar Physics. 261 (1): 215–222. Bibcode:2010SoPh..261..215T. doi:10.1007/s11207-009-9476-9.
  13. Hapgood, Mike (July 1997). "Heliocentric coordinate systems". Mullard Space Science Laboratory . Retrieved 21 December 2023.
  14. Hapgood, M. A. (May 1992). "Space physics coordinate transformations: A user guide" (PDF). Planetary and Space Science. 40 (5): 711–717. Bibcode:1992P&SS...40..711H. doi:10.1016/0032-0633(92)90012-D.
  15. Fränz, M.; Harper, D. (February 2002). "Heliospheric coordinate systems" (PDF). Planetary and Space Science. 50 (2): 217–233. Bibcode:2002P&SS...50..217F. doi:10.1016/S0032-0633(01)00119-2.