Orbital node

An orbital node is either of the two points where an orbit intersects a plane of reference to which it is inclined.^[1] A non-inclined orbit, which is contained in the reference plane, has no nodes.

The ascending node is one of several orbital elements.

Planes of reference

Common planes of reference include the following:

• For a geocentric orbit, Earth's equatorial plane. In this case, non-inclined orbits are called equatorial.^[2]
• For a heliocentric orbit, the ecliptic or invariable plane. In this case, non-inclined orbits are called ecliptic.^[2]
• For an orbit outside the Solar System, the plane through the primary perpendicular to a line through the observer and the primary (called the plane of the sky).^[3]

Node distinction

 

Animation about nodes of two elliptic trajectories. (Click on image.)

If a reference direction from one side of the plane of reference to the other is defined, the two nodes can be distinguished. For geocentric and heliocentric orbits, the ascending node (or north node) is where the orbiting object moves north through the plane of reference, and the descending node (or south node) is where it moves south through the plane.^[4] In the case of objects outside the Solar System, the ascending node is the node where the orbiting secondary passes away from the observer, and the descending node is the node where it moves towards the observer.^{[5], p. 137.}

The position of the node may be used as one of a set of parameters, called orbital elements, which describe the orbit. This is done by specifying the longitude of the ascending node (or, sometimes, the longitude of the node.)

The line of nodes is the straight line resulting from the intersection of the object's orbital plane with the plane of reference; it passes through the two nodes.^[2]

Symbols and nomenclature

 

Look up anabibazon in Wiktionary, the free dictionary.

 

Look up catabibazon in Wiktionary, the free dictionary.

The symbol of the ascending node is   (Unicode: U+260A, ☊), and the symbol of the descending node is   (Unicode: U+260B, ☋).

In medieval and early modern times, the ascending and descending nodes of the Moon in the ecliptic plane were called the "dragon's head" (Latin: caput draconis, Arabic: رأس الجوزهر) and "dragon's tail" (Latin: cauda draconis), respectively.^{[6]: p.141,  [7]: p.245} These terms originally referred to the times when the Moon crossed the apparent path of the sun in the sky (as in a solar eclipse). Also, corruptions of the Arabic term such as ganzaar, genzahar, geuzaar and zeuzahar were used in the medieval West to denote either of the nodes.^{[8]: pp.196–197,  [9]: p.65,  [10]: pp.95–96}

The Koine Greek terms αναβιβάζων and καταβιβάζων were also used for the ascending and descending nodes, giving rise to the English terms anabibazon and catabibazon.^{[11][12]:  ¶27}

Lunar nodes

Main article: Lunar node

 

Nodes of the Moon

For the orbit of the Moon around Earth, the plane is taken to be the ecliptic, not the equatorial plane. The gravitational pull of the Sun upon the Moon causes its nodes to gradually precess westward, completing a cycle in approximately 18.6 years.^[1][13]

Use in astrology

The image of the ascending and descending orbital nodes as the head and tail of a dragon, 180 degrees apart in the sky, goes back to the Chaldeans; it was used by the Zoroastrians, and then by Arabic astronomers and astrologers. In Middle Persian, its head and tail were respectively called gōzihr sar and gōzihr dumb; in Arabic, al-ra's al-jawzihr and al-dhanab al-jawzihr — or in the case of the Moon, ___ al-tennin.^[14] Among the arguments against astrologers made by Ibn Qayyim al-Jawziyya (1292–1350), in his Miftah Dar al-SaCadah: "Why is it that you have given an influence to al-Ra's [the head] and al-Dhanab [the tail], which are two imaginary points [ascending and descending nodes]?"^[15]

See also

• Eclipse
• Euler angles
• Longitude of the ascending node

References

1. . Columbia Encyclopedia (6th ed.). New York: Columbia University Press. 2004. Archived from the original on March 9, 2007. Retrieved May 17, 2007.
2. Darling, David. "line of nodes". The Encyclopedia of Astrobiology, Astronomy, and Spaceflight. Retrieved May 17, 2007.
3. Tatum, Jeremy B. "Chapter 17". Celestial Mechanics. Retrieved May 17, 2007.
4. ascending node, entry in The Encyclopedia of Astrobiology, Astronomy, and Spaceflight, David Darling, on line, accessed May 17, 2007.
5. The Binary Stars, R. G. Aitken, New York: Semi-Centennial Publications of the University of California, 1918.
6. Survey of Islamic Astronomical Tables, E. S. Kennedy , Transactions of the American Philosophical Society, new series, 46, #2 (1956), pp. 123–177.
7. Cyclopædia, or, An universal dictionary of arts and sciences 2008-12-02 at the Wayback Machine, Ephraim Chambers, London: Printed for J. and J. Knapton [and 18 others], 1728, vol. 1.
8. Planetary Latitudes, the Theorica Gerardi, and Regiomontanus, Claudia Kren, Isis, 68, #2 (June 1977), pp. 194–205.
9. Prophatius Judaeus and the Medieval Astronomical Tables, Richard I. Harper, Isis 62, #1 (Spring, 1971), pp. 61–68.
10. Lexicographical Gleanings from the Philobiblon of Richard de Bury, Andrew F. West, Transactions of the American Philological Association (1869-1896), 22 (1891), pp. 93–104.
11. anabibazon, entry in Webster's third new international dictionary of the English language unabridged: with seven language dictionary, Chicago: Encyclopædia Britannica, 1986. ISBN 0-85229-503-0.
12. New thoughts on the genesis of the mysteries of Mithras, Roger Beck, Topoi 11, #1 (2001), pp. 59–76.
13. Marcia Rieke. . Astronomy 250. University of Arizona. Archived from the original on August 26, 2016. Retrieved May 17, 2007.
14. "Gōzihr". Encyclopædia Iranica (iranicaonline.org). February 17, 2012. Vol. XI, Fasc. 2, p. 184. Retrieved March 28, 2023.
    Cf. Gochihr (Zoroastrianism).
15. Livingston, John W. (1971). "Ibn Qayyim al-Jawziyyah: A Fourteenth Century Defense against Astrological Divination and Alchemical Transmutation". Journal of the American Oriental Society. 91 (1): 96–103. doi:10.2307/600445. JSTOR 600445.