Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Ecliptic Plane

黄道平面

If the sun's path is observed from the Earth's reference frame, it appears to move around the Earth in a path which is tilted with respect to the spin axis at 23.5°. This path is called the ecliptic. It tells us that the Earth's spin axis is tilted with respect to the plane of the Earth's solar orbit by 23.5°. Observations show that the other planets, with the exception of Pluto, also orbit the sun in essentially the same plane. The ecliptic plane then contains most of the objects which are orbiting the sun. This suggests that the formation process of the solar system resulted in a disk of material out of which formed the sun and the planets. The 23.5° tilt of the Earth's spin axis gives the seasonal variations in the amount of sunlight received at the surface.

如果从地球的参考系观察太阳的路径,太阳似乎在地球周围沿一个倾斜于地球自转轴的路径运动,倾斜角度为23.5°。这个路径称为黄道。这表明地球自转轴相对于地球绕太阳公转平面倾斜了23.5°。观测显示,除了冥王星外,其他行星的轨道基本上都在同一平面内。因此,黄道平面包含了大部分绕太阳运行的天体。这表明太阳系的形成过程导致了从盘状物质中形成了太阳和行星。地球自转轴的23.5°倾斜导致了地表接收到的阳光量的季节性变化。

Pluto 's orbit is exceptional in that its orbit makes an angle of 17° with the Earth's orbit. This has led to a number of theories about Pluto's origin. Mercury is the only other planet which moves significantly away from the ecliptic plane ( 7°) .

冥王星的轨道具有特殊性,其轨道与地球轨道的夹角为17°。这导致了关于冥王星起源的多种理论。水星是唯一一个显著偏离黄道面的行星(7°)。
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The Ecliptic

黄道
The apparent path of the Sun's motion on the celestial sphere as seen from Earth is called the ecliptic. The ecliptic plane is tilted 23.5° with respect to the plane of the celestial equator since the Earth's spin axis is tilted 23.5° with respect to its orbit around the sun. The ecliptic plane intersects the celestial equatorial plane along the line between the equinoxes.
从地球上看,太阳在天球上的 apparent path 被称为黄道。黄道平面相对于天赤道平面倾斜 23.5°,因为地球自转轴相对于其绕太阳公转的平面倾斜 23.5°。黄道平面与天赤道平面相交于二分点之间的线。

The tilt of the Earth's axis with respect to the ecliptic is responsible for Earth's seasons.

地球自转轴相对于黄道面的倾斜是地球四季更替的原因。
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Orbit concepts
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Celestial Sphere

天球
The stars can be imagined to be points of light on a sphere which rotates about the Earth. Projecting the Earth's poles and equator out onto this imaginary sphere provides a framework for celestial measurement. Formal measurements of viewing direction from the Earth are usually expressed in terms of right ascension and declination, the analogs to longitude and latitude on the surface of the Earth.
恒星可以被想象成位于一个绕地球旋转的球面上的光点。将地球的两极和赤道投影到这个想象中的球面上,为天体测量提供了框架。从地球出发的正式观测方向通常用右 ascension 和 declination 表达,这类似于地球表面上的经度和纬度。
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Declination and Right Ascension

赤道坐标系
Right ascension and declination are like longitude and latitude on the surface of the Earth except that they are measured with respect to the celestial sphere with the vernal equinox as the origin.

The right ascension and declination for a celestial object constitute a unique designation of its position, and from them one can determine the observer coordinates necessary to find the object in their frame of reference.

天体的赤经和赤纬构成其位置的唯一标识,从这些数据可以确定观测者坐标,从而在他们的参考系中找到该天体。
右升和赤纬类似于地球表面的经度和纬度,只是它们是相对于天球测量的,以春分点作为原点。

Right ascension is a celestial longitude measured in the direction of the Earth's rotation. Since that rotation makes a complete circle in 24 hours, the notation adopted for right ascension was in terms of hours and minutes with 24 hours representing the full circle. Declination is expressed as an angle with respect to the celestial equator. For example, the celestial coordinates of the star Betelgeuse in the constellation Orion are right ascension = 5 hours 52 minutes and the declination is 7 degrees 24 minutes. A declination south of the celestial equator is given a negative sign.

右偏角是用地球自转方向测量的天球经度。由于地球自转需要24小时完成一周,因此右偏角的表示单位采用小时和分钟,24小时代表完整的圆周。赤纬是相对于天球赤道的角距离。例如,天琴座中的星Betelgeuse的天球坐标是右偏角5小时52分钟,赤纬7度24分钟。位于天球赤道南侧的赤纬则用负号表示。
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Equinoxes and Solstices

春分和夏至
The points where the ecliptic crosses the equatorial plane of the celestial sphere are called equinoxes. On those dates there are 12 hours each of daylight and dark. The most northern excursion of the sun is called the summer solstice and will have the longest amount of daylight. The winter solstice opposite it is the shortest period of daylight.
黄道平面与天球赤道平面的交点称为分点。在这些日期,白天和黑夜各为12小时。太阳最北端的点称为夏至,此时白昼最长。相反的冬至则是白昼最短的时候。

"At an equinox, the Sun is at one of the two opposite points on the celestial sphere where the celestial equator (i.e. declination 0) and ecliptic intersect. These points of intersection are called equinoctial points: classically, the vernal point (RA = 00h 00m 00s and longitude = 0¡) and the autumnal point (RA = 12h 00m 00s and longitude = 180¡). The equinoxes are the only times when the solar terminator is perpendicular to the Equator. As a result, the northern and southern Hemispheres are equally illuminated." From Wiki.

在春分点和秋分点处,太阳位于天球上天赤道(即赤纬为0)与黄道的交点之一。这两个交点称为春分点和秋分点:经典上,春分点的赤经为0小时0分0秒,赤纬为0°;秋分点的赤经为12小时0分0秒,赤纬为180°。春分和秋分是唯一太阳 terminator 垂直于赤道的时候。因此,南北半球的光照是相等的。
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Celestial Measurement

天体测量

Celestial measurement is taken to mean the kinds of measurement with respect to the celestial sphere which allow you to locate astronomical objects for observation. Measurements with respect to the celestial sphere are typically expressed as right ascension and declination, measurements analogous to latitude and longitude on the Earth's surface.

天体测量是指相对于天球的测量类型,这些测量允许你定位天体以供观测。相对于天球的测量通常表示为赤经和赤纬,这些测量类似于地球表面上的纬度和经度。

In order to know where to look in the sky for a given object, a precise description of the Earth's motion around the sun and precise measurement of time are necessary. It is often more convenient to describe the apparent motion of sun and stars with respect to the Earth as if it were fixed. In the Earth's frame of reference, the Sun's apparent path is called the ecliptic. The ecliptic plane is inclined at 23.5° with respect to the celestial equator because of the tilt of the Earth's rotation axis with respect to the plane of its orbit around the sun.

为了知道在天空中寻找某个天体应看向何处,需要对地球绕太阳的运动进行精确描述,并对时间进行精确测量。通常更方便的是将太阳和恒星的视运动相对于地球来描述,仿佛地球是固定的。在地球参考系中,太阳的视运动路径称为黄道。黄道平面相对于天赤道倾斜23.5°,这是由于地球自转轴相对于绕太阳公转平面的倾斜所致。
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Synodic and Sidereal Periods

会合周期和恒星周期

The period of a planet's orbital period around the Sun with respect to the distant stars is called its sidereal period. The sidereal period of the Earth is about 365 1/4 days. Another type of period is useful for viewing the other planets - the period between the times their positions both lie on the same radial line from the sun, called the synodic period. When planets are on the same radial line from the sun, they are said to be "in opposition". For planets closer to the sun than the Earth, the synodic period of the Earth is longer than the sidereal period, and for outer planets it is shorter if seen by an observer on those planets.

一个行星相对于遥远的恒星绕太阳运行的周期称为其恒星周期。地球的恒星周期约为365又1/4天。另一种有用的周期是用于观测其他行星的——当这些行星的位置都位于太阳的同一条径向线上时的时间间隔,称为会合周期。当行星位于太阳的同一条径向线上时,它们被称为“处于反对位置”。对于比地球更靠近太阳的行星,地球的会合周期比恒星周期长,而对于外行星,如果从这些行星上观察,会合周期则比恒星周期短。

The sidereal period of Mars is 1.88 years, whereas the synodic period is 2.135 years as seen from the Earth. The time of opposition of Mars is associated with its apparent retrograde motion for an Earth observer.

火星的恒星周期是1.88年,而从地球上看的会合周期是2.135年。火星的反对点时间与地球观察者所见的火星逆行运动有关。

The period which brings the Earth back to the same angular position with respect to the Sun is called the tropical year and is 365.242 mean solar days. Formally this period is defined as the interval of time from one vernal equinox to the next. The sidereal period (period with respect to the distant stars) of 365.256 mean solar days is about 20 minutes longer because of the precession of the Earth's spin axis. That precession period of about 26,000 years brings the vernal equinox about 20 minutes earlier each year. The fact that the year is not exactly 365 days has led to the inclusion of the leap year days and other adjustments to the calendar.

使地球相对于太阳回到相同角位置的周期称为恒星年,其为365.242个平太阳日。正式定义中,这个周期是从一个春分点到下一个春分点的时间间隔。由于地球自转轴的进动,相对于遥远恒星的周期为365.256个平太阳日,比恒星年长约20分钟。这个进动周期约为26,000年,使得春分点每年提前约20分钟。由于年份并非恰好365天,因此加入了闰年日和其他调整以修正日历。

The sidereal day, which brings a "fixed" star back to the same position on the next night, is 23 hours 56 minutes and 4 seconds. The practical observable effect is that stars rise about 4 minutes earlier each night, about 2 hours earlier in a month, and appear as a parade that progresses westward across the night sky.

恒星日是使‘固定’的恒星在第二天再次出现在同一位置的天体,为23小时56分4秒。实际可观察到的效果是,恒星每天大约提前4分钟升起,一个月内大约提前2小时,恒星似乎在夜空中自西向东依次排列出现。
Index

Gravity concepts

Orbit concepts

Reference
Chaisson & McMillan
Ch 1
索引 重力概念 轨道概念 参考 Chaisson & McMillan 第1章
 
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