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Ecliptic coordinate system

One of the celestial coordinate systems
The ecliptic coordinate system is Celestial coordinate system one of. The ecliptic coordinate system is based on the ecliptic [equivalent to Rectangular coordinate system Horizontal axis of) to pass through Vernal equinox Of Circle of yellow meridian (semicircle) is the starting circle (equivalent to Longitudinal axis ), the celestial coordinate system with the vernal equinox as the origin, its longitude call Yellow meridian 〔λ〕 Is the angular distance between the end circle and the beginning circle of the yellow meridian where the celestial body is located, that is, an arc of the ecliptic between the end circle and the beginning circle, measured counterclockwise (left-handed) on the ecliptic starting from the equinox, from 0 ° to 360 °. Its latitude is called latitude of the yellow (β), which is the direction and angular distance of the celestial body relative to the ecliptic. Starting from the ecliptic, it is 0 ° to 90 ° northward along the ecliptic (base circle). 0 ° to - 90 ° to the south. The ecliptic coordinate system is mainly used for the sun, moon and planets celestial sphere Position and movement on the.
Chinese name
Ecliptic coordinate system
Foreign name
Ecliptic system of coordinates
Coordinate system basic point
Yellow North Pole, Yellow South Pole
Field
Surveying and Mapping
Purpose
Study on precession and nutation
See publications
Astronomical Terms (Second Edition), Science Press
Time of publication
1998 [4]

definition

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(Ecliptic system of coordinates)
Sketch Map
earth Around sunlight function track Infinite expansion of face celestial sphere The big circle of the celestial sphere formed by intersection is called Ecliptic The ecliptic is also the annual view of the sun motion Route. Through the center of the earth and with Ecliptic surface vertical Of straight line call Yellow axis The two points where the yellow axis intersects the celestial sphere are called the yellow poles, which are divided into North Yellow Pole 〔E〕 And the southern pole of the ecliptic [E '] are the two poles of the ecliptic. Passing through the north and south pole of the Yellow River and perpendicular to the ecliptic celestial sphere Big round cry Circle of yellow meridian A small circle on the celestial sphere parallel to the ecliptic Yellow latitude Circle. Ecliptic and Celestial equator The two points that intersect are called Equinox Of which the ecliptic is relative to the celestial equator Ascending intersection call Vernal equinox 〔γ〕, Descending point call Autumnal equinox The two points on the ecliptic that are 90 ° away from the equinox are called Solstice , of which the one located north of the celestial equator is called Solstice point , located south of the celestial equator Winter Solstice Point.
The ecliptic coordinates are often used in the study of precession and nutation, and their points and planes are the northern pole and the ecliptic respectively. [1]
Basic circle and basic point
The basic circle of the ecliptic coordinate system is Ecliptic The basic points are the Yellow North Pole and the Yellow South Pole.
Yellow pole Is to make a straight line perpendicular to the ecliptic plane and celestial sphere The two intersecting points are called the Yellow North Pole and the Yellow South Pole respectively. The connection between the Yellow North Pole and the Yellow South Pole is Yellow axis
parallel You can make countless small circles on the celestial sphere in the ecliptic, that is Yellow weft circle Numerous large circles perpendicular to the ecliptic can be made through the pole, namely Circle of yellow meridian , of which Vernal equinox The yellow meridian circle of is in the ecliptic coordinate system longitude Yellow meridian )Start circle of measurement
Yellow meridian
Yellow meridian That is, in the ecliptic coordinate system longitude , it is a kind of Dihedral angle It is Vernal equinox Where Circle of yellow meridian The angle between the plane and the plane of the yellow circle where the celestial body is located. The measurement of the yellow meridian is based on the yellow meridian circle where the vernal equinox is located as the starting circle, which is counterclockwise along the ecliptic. In terms of angle, the range is from 0 ° to 360 °.
Yellow latitude
The latitude in the ecliptic coordinate system is Line plane angle It is the celestial body and celestial sphere The angle between the line of the center and the plane of the ecliptic. Latitude in Yellow Ecliptic surface Is the starting point, measured in the south and north directions, from the ecliptic plane to the Yellow North Pole is 0 °~+90 °, and from the ecliptic plane to the Yellow South Pole is 0 °~(- 90 °).

Separate explanation of words

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Ecliptic
The earth revolves around the sun once a year. We look at the earth as the sun moves around the sky once a year. The path of the sun's movement is called the ecliptic. It is celestial sphere A large circle assumed on the Earth orbit Celestial Projection Ecliptic and Equatorial plane Intersect at Vernal equinox and Autumnal equinox
Coordinate system
A set established between the set of geometric objects (such as points, lines, planes, etc.) and the set of ordered arrays Correspondence rule The ordered array corresponding to the point is called the coordinates of the point. Common coordinate systems are Linear coordinate system Rectangular coordinate system Plane polar coordinate system Space rectangular coordinate system Spherical coordinate system Cylindrical coordinate system Etc.

Difference of standard system

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Studies of Ancient Chinese Scholars
As early as Jin· Sima Biao The difference between the equator and the ecliptic in determining the position of celestial bodies was analyzed in the book "Records of the Later Han Dynasty · Legal Calendar · Jia Kui's Discussion Calendar" Fu An As soon as the sun and the moon are measured by the ecliptic, the historiographer is not the same as the sun and the moon when he is measured by the equator. Today, he is more than one day away from the sun and the moon when he is measured by the ecliptic. He is always playing for change, but he is still retreating when he thinks of the sun and the moon. In the ecliptic, you can walk freely without changing The Five Chronicles said that 'the sun and the moon follow the Zodiac, reaching Morning Glory in the south, and Dongjing in the north. They travel once a day, and seven of thirteen degrees and nineteen minutes a month'. Today's historiographer takes the equator as the degree, not the same as the sun and the moon. His fights, morning glory, (Dongjing), and Yu ghosts get 15 degrees at the equator, and 13 and a half degrees at the ecliptic The art of the sun and the moon follows the zodiac every day, and the moon follows the nine paths. With the equator, the winter solstice is 115 degrees away from the pole. The equator is in Dou 21, and the ecliptic is in Dou 19. The two instruments are in harmony. The sun and the moon are on a journey with poor straightness. Therefore, the monthly line of well and cattle is more than 14 degrees, and it is more than 12 degrees in the corner and Lou. None of them can respond quickly. " That is to say, as far as the moon is concerned, the date and running speed of the "chord view" measured by the ecliptic and the equator are different. The same is true of other celestial bodies.
Western scholars discuss differences
Hour angle Coordinate system There is no direct relationship with the ecliptic coordinate system, "as de Saussure (1740-1799) said: Greek astronomy is' the ecliptic, angle, truth, anniversary '"; Chinese astronomy is equator, time, average, Sunday '. According to some Arched polar star The Chinese people have never lost the constellations that change from time to time, so they can determine the positions of the sun and the moon when they are not visible. " [7] Gongji star refers to Constant display ring And stars in the hidden circle. The stars in the constant display circle are always Horizon circle Therefore, their Shangzhongtian And the lower sky. Constant hidden circle The stars inside are always below the horizon and never rise, so they cannot be seen. See the Constant Display Circle Chart: that is, Equatorial coordinate system It is based on the inner loop of constant display coil Polaris To determine the time. An important feature of this system different from western astronomy is: "It is Celestial pole , equatorial, not planetary, ecliptic. " The ecliptic coordinate system is Sunrise The ecliptic eclipse is to observe the appearance and disappearance of stars near the ecliptic before sunrise or after sunset. We all remember ancient times Egypt Well known right Sirius The observation of the heliocentric days. Such observation does not require knowledge of the celestial pole, meridian or equator, nor any time measuring system. It naturally leads people to be familiar with the constellations of the ecliptic, as well as the stars that are far from or near the ecliptic and appear at the same time as the ecliptic constellations. "
The equator and the ecliptic are like cars running on two tracks. They don't go the same way. The constellations of the equator and the zodiac are different from each other, just as the stops and exits of highways and ordinary highways are different. We cannot go to the expressway to find the stops and exits of ordinary roads, nor can we go to ordinary roads to find the stops and exits of expressway. Similarly, you can't go Time angle coordinate system Of twelve nocturnal time divisions To find the objective basis of the twelve signs in the zodiac, you cannot find the objective basis of the twelve stars in the twelve signs of the ecliptic coordinate system.

application

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The ecliptic coordinate system is suitable for representing the position and movement of celestial bodies in the solar system. Since the sun itself runs on the ecliptic, its position is represented by the sun's yellow longitude Solar yellow meridian To represent the sun's Visual movement It is particularly appropriate. For example, in Vernal equinox The sun yellow longitude is 0 °, Summer Solstice Is 90 °, Autumnal equinox 180 °, Winter Solstice For the movement of other celestial bodies in the 270 ° solar system, it can also be used Ecliptic coordinates Value. For example, the planetary motion can be expressed in the ecliptic coordinate system. When the sun and the outer planets Yellow meridian When they are the same, they are the same; When the sun and the outer planet have a difference of 180 ° in longitude, it is an impact; When the difference is 90 °, it is square. Another example is:, Moon The law of operation can also be expressed in the ecliptic coordinate system. When the yellow meridians of the day and the month are the same, it is the new moon, and the new moon is the first day of every lunar month; When there is a 180 ° difference between the yellow longitude of the day and the month, it is called "hope". The "hope" time is the 15th or 16th day of the lunar calendar; When there is a 90 ° difference between the yellow meridians of the day and the moon, it is the first chord; When the difference between the yellow longitude of the day and the yellow longitude of the month is 270 °, it is Bottom chord [2]
The position of celestial bodies on the celestial sphere is often measured with a set of coordinates, such as (A, Z), while in practical work, it is sometimes necessary to use another set of coordinates, which requires transformation between different coordinate systems. [3]
Because Vernal equinox Of Circle of yellow meridian And the ecliptic Celestial coordinate system Since they are unique, the longitude and latitude of a star will not change with time and place.
However, as a special star, the sun's longitude is changing year by year, which also causes the sun's Equatorial coordinate Change of value. Vernal equinox Solar yellow meridian 0 °, Right ascension When it is 0 ° or 0, Declination 0 °; Summer Solstice The sun's yellow longitude is 90 °, the right ascension is 90 °, and the right latitude is+23 ° 26 '; Autumnal equinox The sun's yellow longitude is 180 °, the right ascension is 180 °, and the right latitude is 0 °; Winter Solstice The sun's yellow longitude is 270 °, the right ascension is 270 °, and the declination is - 23 ° 26 '.
Each Celestial coordinate system All have their unique properties, so they have their specific uses. In order to facilitate comparison and memory, various celestial coordinate systems are summarized in Table 2-3.
Table Comparison of four celestial coordinate systems
Comparison of four celestial coordinate systems