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Orbital node

(Redirected fromLine of nodes)

Anorbital node is either of the two points where anorbitintersects aplane of reference to which it is inclined.[1] Anon-inclined orbit, which iscontained in the reference plane, has no nodes.

The ascending node is one of severalorbital elements.

Planes of reference

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Commonplanes of reference include the following:

Node distinction

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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, theascending node (ornorth node) is where the orbiting object moves north through the plane of reference, and thedescending node (orsouth 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, calledorbital elements, which describe the orbit. This is done by specifying thelongitude of the ascending node (or, sometimes, thelongitude of the node.)

Theline 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

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Look upanabibazon in Wiktionary, the free dictionary.
Look upcatabibazon 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 theMoon crossed the apparent path of the sun in the sky (as in asolar eclipse). Also, corruptions of the Arabic term such asganzaar,genzahar,geuzaar andzeuzahar were used in the medieval West to denote either of the nodes.[8]: pp.196–197,  [9]: p.65,  [10]: pp.95–96 

TheKoine Greek termsαναβιβάζων andκαταβιβάζων were also used for the ascending and descending nodes, giving rise to the English termsanabibazon andcatabibazon.[11][12]:  ¶27 

Lunar nodes

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Main article:Lunar node
 
Nodes of the Moon

For theorbit of the Moon aroundEarth, theplane is taken to be theecliptic, not theequatorial plane. Thegravitational pull of theSun upon the Moon causesits nodes to graduallyprecess westward, completing a cycle in approximately 18.6 years.[1][13]

Use in astrology

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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 calledgōzihr sar andgōzihr dumb; in Arabic,al-ra's al-jawzihr andal-dhanab al-jawzihr — or in the case of the Moon, ___ al-tennin.[14] Among the arguments against astrologers made byIbn Qayyim al-Jawziyya (1292–1350), in hisMiftah Dar al-SaCadah: "Why is it that you have given an influence toal-Ra's [the head] andal-Dhanab [the tail], which are two imaginary points [ascending and descending nodes]?"[15]

See also

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References

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  1. ^ab"node".Columbia Encyclopedia (6th ed.). New York:Columbia University Press. 2004. Archived fromthe original on March 9, 2007. RetrievedMay 17, 2007.
  2. ^abcDarling, David."line of nodes".The Encyclopedia of Astrobiology, Astronomy, and Spaceflight. RetrievedMay 17, 2007.
  3. ^Tatum, Jeremy B."Chapter 17".Celestial Mechanics. RetrievedMay 17, 2007.
  4. ^ascending node, entry inThe 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. ^Kennedy, E. S. (1956)."A Survey of Islamic Astronomical Tables".Transactions of the American Philosophical Society.46 (2):123–177.doi:10.2307/1005726.JSTOR 1005726.
  7. ^Cyclopædia, or, An universal dictionary of arts and sciencesArchived 2008-12-02 at theWayback Machine, Ephraim Chambers, London: Printed for J. and J. Knapton [and 18 others], 1728, vol. 1.
  8. ^Kren, Claudia (1977)."Planetary Latitudes, the Theorica Gerardi, and Regiomontanus".Isis.68 (2):194–205.doi:10.1086/351767.JSTOR 230070.
  9. ^Harper, Richard I. (1971)."Prophatius Judaeus and the Medieval Astronomical Tables".Isis.62 (1):61–68.doi:10.1086/350708.JSTOR 229000.
  10. ^West, Andrew F. (1891)."Lexicographical Gleanings from the Philobiblon of Richard de Bury".Transactions of the American Philological Association.22:93–104.doi:10.2307/2935702.JSTOR 2935702.
  11. ^anabibazon, entry inWebster'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,Topoi11, #1 (2001), pp. 59–76.
  13. ^Marcia Rieke."Introduction: Coordinates, Seasons, Eclipses (lecture notes)".Astronomy 250.University of Arizona. Archived fromthe original on August 26, 2016. RetrievedMay 17, 2007.
  14. ^"Gōzihr".Encyclopædia Iranica (iranicaonline.org). February 17, 2012. Vol. XI, Fasc. 2, p. 184. RetrievedMarch 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.

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