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Ephemeris



 
 
An ephemeris (plural: ephemerides; from the Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
 word "daily") is a table of values that gives the positions of astronomical objects in the sky
Sky

The sky is the part of the atmosphere or of outer space visible from the surface of any astronomical object. It is difficult to define precisely for several reasons....
 at a given time or times. Different kinds are used for astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 and astrology
Astrology

Astrology is a group of systems, traditions, and beliefs which hold that the relative positions of astronomical object and related details can provide useful information about personality, human affairs, and other terrestrial matters....
. Even though this was also one of the first applications
History of computing

The history of computing is longer than the history of computing hardware and computer and includes the history of methods intended for pen and paper or for chalk and slate, with or without the aid of tables....
 of mechanical computers, an ephemeris will still often be a simple printed table.

The position is given to astronomers in a spherical polar coordinate system
Polar coordinate system

In mathematics, the polar coordinate system is a dimension coordinate system in which each point on a plane is determined by an angle and a distance....
 of right ascension
Right ascension

Right ascension is the astronomical term for one of the two coordinates of a point on the celestial sphere when using the equatorial coordinate system....
 and declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
 or to astrologer
Astrologer

An astrologer practices one or more forms of astrology. Typically an astrologer draws a horoscope for the time of an event, such as a person's birth, and interprets celestial points and their placements at the time of the event to better understand someone, determine the auspiciousness of an undertaking's beginning, etc....
 in longitude
Longitude

Longitude , symbolized by the Greek character lambda , is the geographic coordinate most commonly used in cartography and global navigation for east-west measurement....
 along the zodiac
Zodiac

Zodiac denotes an annual cycle of twelve stations along the ecliptic, the apparent path of the Sun across the heavens through the constellations that divide the ecliptic into twelve equal zones of celestial longitude....
al ecliptic
Ecliptic

The ecliptic is the apparent path that the Sun traces out in the sky during the year. As it appears to move in the sky in relation to the stars, the apparent path aligns with the planets throughout the course of the year....
, and sometimes declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
.






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An ephemeris (plural: ephemerides; from the Greek
Greek language

Greek is an Indo-European languages native to the southern Balkan peninsula, the language of the Greek people. It forms an independent branch within Indo-European....
 word "daily") is a table of values that gives the positions of astronomical objects in the sky
Sky

The sky is the part of the atmosphere or of outer space visible from the surface of any astronomical object. It is difficult to define precisely for several reasons....
 at a given time or times. Different kinds are used for astronomy
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 and astrology
Astrology

Astrology is a group of systems, traditions, and beliefs which hold that the relative positions of astronomical object and related details can provide useful information about personality, human affairs, and other terrestrial matters....
. Even though this was also one of the first applications
History of computing

The history of computing is longer than the history of computing hardware and computer and includes the history of methods intended for pen and paper or for chalk and slate, with or without the aid of tables....
 of mechanical computers, an ephemeris will still often be a simple printed table.

The position is given to astronomers in a spherical polar coordinate system
Polar coordinate system

In mathematics, the polar coordinate system is a dimension coordinate system in which each point on a plane is determined by an angle and a distance....
 of right ascension
Right ascension

Right ascension is the astronomical term for one of the two coordinates of a point on the celestial sphere when using the equatorial coordinate system....
 and declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
 or to astrologer
Astrologer

An astrologer practices one or more forms of astrology. Typically an astrologer draws a horoscope for the time of an event, such as a person's birth, and interprets celestial points and their placements at the time of the event to better understand someone, determine the auspiciousness of an undertaking's beginning, etc....
 in longitude
Longitude

Longitude , symbolized by the Greek character lambda , is the geographic coordinate most commonly used in cartography and global navigation for east-west measurement....
 along the zodiac
Zodiac

Zodiac denotes an annual cycle of twelve stations along the ecliptic, the apparent path of the Sun across the heavens through the constellations that divide the ecliptic into twelve equal zones of celestial longitude....
al ecliptic
Ecliptic

The ecliptic is the apparent path that the Sun traces out in the sky during the year. As it appears to move in the sky in relation to the stars, the apparent path aligns with the planets throughout the course of the year....
, and sometimes declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
. Astrological positions may be given for either noon
Noon

Noon is the hour of 12:00 in an observer's local time zone, or more loosely, a time near the middle of the day when workers in many countries take a meal break....
 or midnight
Midnight

Midnight is, literally, "the middle of the night." In most systems it is when one day ends and the next begins: when the date changes. Originally midnight was halfway between sunset and dawn, varying according to the seasons....
.

An astronomical ephemeris may also provide data on astronomical
Astronomy

Astronomy is the science of Astronomical object and Phenomenon that originate outside the Earth's atmosphere . It is concerned with the evolution, physics, chemistry, meteorology, and motion of celestial objects, as well as the physical cosmology....
 phenomena of interest to astrologer
Astrologer

An astrologer practices one or more forms of astrology. Typically an astrologer draws a horoscope for the time of an event, such as a person's birth, and interprets celestial points and their placements at the time of the event to better understand someone, determine the auspiciousness of an undertaking's beginning, etc....
s and astronomers such as eclipse
Eclipse

An eclipse is an astronomical event that occurs when one celestial object moves into the shadow of another. The term is derived from the ancient Greek noun , from verb , "I cease to exist," a combination of prefix , from preposition , "out," and of verb , "I am absent"....
s, apparent retrogradation
Retrogradation

Retrogradation is the term for the landward change in position of the front of a river delta with time. This occurs when the mass balance of sediment into the delta is such that the volume of incoming sediment is less than the volume of the delta that is lost through subsidence, sea-level rise, and/or erosion....
/planetary stations, planetary
Planetary

Planetary means relating to a planet or planets. It can also refer to:* Planetary , a comic book series by Warren Ellis and John Cassaday* Planetary habitability, the measure of an astronomical body's potential to develop and sustain life...
 ingresses, sidereal time
Sidereal time

Sidereal time is a measure of the position of the Earth in its rotation around its axis, or time measured by the apparent diurnal motion of the vernal equinox, which is very close to, but not identical to, the motion of stars....
, positions for the Mean and True nodes of the moon
Lunar node

The lunar nodes are the orbital nodes of the Moon, that is, the points where the Planetary orbit of the Moon crosses the ecliptic . The ascending node is where the moon crosses to the north of the ecliptic....
, the phases of the Moon, and sometimes even the position(s) of Chiron
2060 Chiron

2060 Chiron is a planetoid in the outer solar system. Discovered in 1977 by Charles T. Kowal , it was the first known member of a new class of objects now known as centaur s, with an orbit between those of Saturn and Uranus ....
, and other minor celestial bodies. Astrologers also use other ephemerides that include tables of imaginary celestial bodies, such as Lilith
Lilith (hypothetical moon)

Lilith is the name for two things in modern astrology. The first is the astrological name given in 1918 by astrologer Sepharial to one of Dr. Georg Waltemath's Earth moons proposed at the turn of the century....
, a term they use variously for the apogee of the Moon or the second focus of the Moon's orbit. Some ephemerides also contain a monthly aspectarian, while others often include the declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
 of the planets as well as their longitudes, right ascension
Right ascension

Right ascension is the astronomical term for one of the two coordinates of a point on the celestial sphere when using the equatorial coordinate system....
s or Cartesian coordinates.

History


12th century — the Tables of Toledo
Tables of Toledo

Gerard of Cremona edited for Latin readers the Tables of Toledo , the most accurate compilation of Astronomy/astrological data ever seen in Europe at the time....
, based largely on Arabic Zij
Zij

Zij is the generic name applied to Islamic astronomical books that tabulate parameters used for astronomical calculations of the positions of the Sun, Moon, stars, and planets....
 sources, were edited by Gerard of Cremona
Gerard of Cremona

Gerard of Cremona , was a Lombardy translator of Arabic language Islamic science.He was one of a small group of scholars who invigorated medieval Europe in the twelfth century by transmitting Greece and Arab traditions in astronomy, medicine and other sciences, in the form of Translations into Latin , which made them available to every lit...
 to form the standard European ephemeris until the Alfonsine tables

13th century — the Zij-i Ilkhani
Zij-i Ilkhani

Zij-i Ilkhani or Ilkhanic Tables is a book with Ephemeris of planetary movements by a Persian Empire astronomy Nasir al-Din al-Tusi in collaboration with other astronomers at the Maragha observatory....
, or Ilkhanic Tables, were compiled in Persia

13th century — the Alfonsine tables
Alfonsine tables

The Alfonsine tables were ephemeris drawn up at Toledo, Spain by order of Alfonso X around 1252 to 1270 to correct anomalies in the Tables of Toledo....
 were compiled in Spain to correct anomalies in the Tables of Toledo, remaining the standard European ephemeris until the Prutenic Tables almost 300 years later

1504 — While shipwrecked on the island of Jamaica, Christopher Columbus
Christopher Columbus

Christopher Columbus was a Republic of Genoa navigator, colonialist and explorer whose voyages across the Atlantic Ocean?funded by Queen Isabella of Spain?led to general European awareness of the America in the Western Hemisphere....
 successfully predicted a lunar eclipse for the natives, using the Ephemeris of the German astronomer Regiomontanus
Regiomontanus

Johannes M?ller von K?nigsberg , known by his Latin pseudonym Regiomontanus, was an important Germany mathematician, astronomer and astrologer....



1551 — the Prutenic Tables
Prutenic Tables

The Prutenic Tables , were an ephemeris by the astronomer Erasmus Reinhold published in 1551. They are sometimes called the Prussian Tables after Albert I, Duke of Prussia, who supported Reinhold and financed the printing....
 of Erasmus Reinhold
Erasmus Reinhold

Erasmus Reinhold was a Germany astronomer and mathematician, considered to be the most influential astronomical pedagogue of his generation. He was born and died in Saalfeld, Thuringia, Germany....
 were published, based on Copernicus's theories

1554 — Johannes Stadius
Johannes Stadius

Johannes Stadius or Estadius was a County of Flanders astronomy, astrologer, and mathematician....
 published a well-known work known as Ephemerides novae at auctae that attempted to give accurate planetary positions. The effort was not entirely successful, and there were, for example, periodic errors in Stadius’ Mercury positions of up to ten degrees.

1627 — the Rudolphine Tables
Rudolphine Tables

The Rudolphine Tables consist of a star catalog and planetary tables published by Johannes Kepler in 1627. Named after Rudolf II, Holy Roman Emperor, they contain positions for the 1,006 stars measured by Tycho Brahe, and 400 and more stars from Ptolemy and Johann Bayer, with directions and tables for locating the planets of the solar sys...
 of Johannes Kepler
Johannes Kepler

Johannes Kepler was a Germans mathematician, astronomer and astrologer, and key figure in the 17th century Scientific revolution. He is best known for his eponymous Kepler's laws of planetary motion, codified by later astronomers based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican Astrononomy....
 became the new standard

Scientific ephemeris

For scientific uses, a modern planetary ephemeris comprises software that generates positions of the planets and often of their satellites, or of asteroid
Asteroid

Asteroids, sometimes called minor planets or planetoids, are small Solar System bodies in orbit around the Sun, smaller than planets but larger than meteoroids....
s or comet
Comet

A comet is a Small Solar System body that orbits the Sun and, when close enough to the Sun, exhibits a visible coma or a tail?both primarily from the effects of solar radiation upon the Comet nucleus....
s at virtually any time desired by the user. Often there is an option to find the velocities of the bodies of interest, as well.

Typically, such ephemerides cover several centuries, past and future; the future ones can be covered because celestial mechanics
Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motion s of celestial objects. The field applies principles of physics, historically classical mechanics, to astronomical objects such as stars and planets to produce ephemeris data....
 is an accurate theory. Nevertheless, there are secular phenomena
Secular phenomena

In astronomy, secular phenomena are contrasted with phenomena observed to repeat periodically. In particular, astronomical ephemeris use secular to label long-term perturbations in the motion of planets, as opposed to periodic perturbations....
, factors that cannot adequately be considered by ephemerides. The biggest uncertainties on planetary positions are due to the perturbations of numerous asteroids, most of whose masses are poorly known, rendering their effect uncertain. Therefore, despite efforts to overcome these uncertainties, the JPL has to revise its published ephemerides at intervals of 20 years.

Solar system
Solar System

The Solar System consists of the Sun and those Astronomical object bound to it by gravity: the eight planets and five dwarf planets, their 173 known Natural satellite, and billions of Small Solar System body....
 ephemerides are essential for the navigation of spacecraft
Spacecraft

A spacecraft is a Craft or machine designed for spaceflight. On a sub-orbital spaceflight, a spacecraft enters outer space then returns to the Earth....
 and for all kinds of space observations of the planets, their natural satellite
Natural satellite

A natural satellite or moon is a celestial body that orbits a planet or smaller body, which is called the primary. Technically, the term natural satellite could refer to a planet orbiting a star, or a dwarf galaxy orbiting a major galaxy, but it is normally synonymous with moon and used to identify non-artificial satellites...
s, star
Star

A star is a massive, luminous ball of Plasma that is held together by its own gravity. The nearest star to Earth is the Sun, which is the source of most of the energy on Earth....
s and galaxies.

Scientific ephemerides for sky observers mostly contain the position of the mentioned celestial body in right ascension
Right ascension

Right ascension is the astronomical term for one of the two coordinates of a point on the celestial sphere when using the equatorial coordinate system....
 and declination
Declination

In astronomy, declination is one of the two coordinates of the equatorial coordinate system, the other being either right ascension or hour angle....
, because these coordinates are the most often used on star maps and telescopes. The equinox
Equinox

Equinoxes occur twice a year, when the tilt of the Earth's axis is inclined neither away from nor toward the Sun, causing the Sun to be located vertically above a point on the equator....
 of the coordinate system must be given. It is in nearly all cases either the actual equinox (the equinox valid for that moment, often referred to as "of date" or "current"), or that of the one of the "standard" equinoxes, typically J2000.0, B1950.0, or J1900. Star maps are almost always in one of the standard equinoxes.

Scientific ephemerides often contain further useful data about the moon, planet, asteroid, or comet beyond the pure coordinates in the sky, such as elongation to the sun, brightness, distance, velocity, apparent diameter in the sky, phase angle, times of rise, transit, and set, etc. Ephemerides of the planet Saturn
Saturn

Saturn is the sixth planet from the Sun and the second largest planet in the Solar System, after Jupiter. Saturn, along with Jupiter, Uranus and Neptune, is classified as a gas giant....
 also sometimes contain the apparent inclination of its ring.

An ephemeris is usually only correct for a particular location on the Earth. In many cases the differences are too small to matter, but for nearby asteroids or the Moon
Moon

The Moon is Earth's only natural satellite and the List of natural satellites by diameter satellite in the Solar System. The average centre-to-centre distance from the Earth to the Moon is km, about thirty times the diameter of the Earth....
 they can be quite important.

GPS navigation satellites transmit electronic ephemeris data consisting of health and exact location data that GPS receivers then use (together with the signal's elapsed travel time to the receiver) to calculate their own location on Earth using trilateration
Trilateration

Trilateration is a method for determining the intersections of three sphere surfaces given the centers and radii of the three spheres....
.

Astrological ephemeris


The majority of astrologers study tropical astrology
Tropical Astrology

Tropical astrology is a type of astrology based on a zodiac whose points of reference are the tropics. The word tropic comes from the Greek for "turning point," and originally meant the point at which the sun at sunrise and sunset appears to turn, and to move north in the northern hemisphere and south in the southern hemisphere along the...
, involving planetary positions referenced to the vernal (spring) equinox
Equinox

Equinoxes occur twice a year, when the tilt of the Earth's axis is inclined neither away from nor toward the Sun, causing the Sun to be located vertically above a point on the equator....
 position along the ecliptic (the equinox being the nexus
Nexus

A nexus is a connection or the centre of something. Nexus may refer to:...
 of Earth's rotational plane and Earth's orbital plane around the Sun). They use exactly the same referential frame of the astronomers, except for a small minority of astrologers who study sidereal astrology
Sidereal astrology

Sidereal astrology is the system of astrology used by some Western and all Jyotish astrology who base their interpretation around the use of the Sidereal time zodiac....
 and use a different ephemerids, based on the constellations.

Though astrology
Astrology

Astrology is a group of systems, traditions, and beliefs which hold that the relative positions of astronomical object and related details can provide useful information about personality, human affairs, and other terrestrial matters....
 is and always has been geocentric, heliocentric astrology is an emerging field; for this purpose a standard ephemeris cannot be utilized, and because of this specialized heliocentric ephemerids must be calculated and used instead of the default geocentric ephemerides that are used in standard Western astrology
Western astrology

Western astrology is the system of astrology most popular in Western countries. Western astrology originated in Babylonian astrology during the 2nd millennium BC, from where it spread to much of the world....
 to construct the astrological chart/natal chart
Natal chart

In natal astrology, a natal chart is a horoscope/astrological chart drawn for the exact time of an Birthday at a particular place on Earth for the purposes of gaining information about the individual....
.

See also

  • American Ephemeris and Nautical Almanac
    American Ephemeris and Nautical Almanac

    The American Ephemeris and Nautical Almanac was published for the years 1855 to 1980, containing information necessary for astronomers, surveyors, and navigators....
  • Ephemeris time
    Ephemeris time

    The term ephemeris time is in itself apt to refer to time in connection with any Astronomical Ephemeris. It has been used more specifically to refer:-...
  • Epoch (astronomy)
    Epoch (astronomy)

    In astronomy, an epoch is a moment in time used as a reference for the orbital elements of a celestial body. Typically, the epoch is either the moment an observation was made or the moment for which a prediction was calculated....
  • Epoch (reference date)
    Epoch (reference date)

    In the fields of chronology and periodization, an epoch means an instant in time chosen as the origin of a particular era. The "epoch" then serves as a reference point from which time is measured....
  • January 0
  • Jet Propulsion Laboratory Developmental Ephemeris
    Jet Propulsion Laboratory Developmental Ephemeris

    The Jet Propulsion Laboratory Developmental Ephemeris is a product of the Jet Propulsion Laboratory in Pasadena, California. This ephemeris is a system of numerical coefficients which can be used to calculate the positions of the major and some Minor planet of the solar system both in the past and the future....
  • Global Positioning System
    Global Positioning System

    The Global Positioning System is a global navigation satellite system developed by the United States Department of Defense and managed by the United States Air Force 50th Space Wing....
  • Almanac
    Almanac

    An almanac is an annual publication containing tabular information in a particular field or fields often arranged according to the calendar. Astronomy data and various statistics are also found in almanacs, such as the times of the rising and setting of the sun and moon, eclipses, hours of full tide, stated festivals of church es, terms of...


External links

  • Kharin, A. S. and Kolesnik, Y. B.; On the Errors of the Ephemerides Derived from Optical Observations of Planets. (1990), IAU
    IAU

    IAU may refer to:*International Astronomical Union*International American University*International Association of Universities*International Association of Ultra Runners for ultramarathoners....
     SYMP.141 P.189, 1989.
  • - by Steve Moshier
  • -- Based out of Zürich
    Zürich

    Z?rich is the largest city in Switzerland and the capital of the canton of Z?rich. The city is Switzerland's main commercial and cultural centre and sometimes called the Cultural Capital of Switzerland, the political capital of Switzerland being Berne....
    , Switzerland
    Switzerland

    Switzerland is a landlocked Swiss Alps country of roughly 7.7 million people in Western Europe with an area of 41,285 km?. Switzerland is a federal republic consisting of 26 states called Cantons of Switzerland....
     (available in 8 languages)
  • -- 600BC to 2400AD -- Calculated for Midnight
    Midnight

    Midnight is, literally, "the middle of the night." In most systems it is when one day ends and the next begins: when the date changes. Originally midnight was halfway between sunset and dawn, varying according to the seasons....
     GMT; also with an Aspectarian
    Astrological aspect

    In astrology, an aspect is an angle the planets make to each other in the horoscope, and also to the ascendant, midheaven, descendant and nadir....
     included for years 1900 to 2005
  • in Switzerland.
  • , at the