|
|
| Line 1: |
Line 1: |
| {{Main|Lunar theory}}
| | The individual who wrote the article is called Jayson Hirano and he totally digs that name. She is really fond of caving but she doesn't have the time lately. She functions as a travel agent but soon she'll be on her own. Mississippi is the only place I've been residing in but I will have to transfer in a yr or two.<br><br>Also visit my webpage - [http://ustanford.com/index.php?do=/profile-38218/info/ psychics online] |
| | |
| '''Evection''' (Latin for ''carrying away''), in [[astronomy]], is the largest inequality produced by the action of the [[Sun]] in the [[month]]ly revolution of the [[Moon]] around the [[Earth]]. The evection, formerly called the moon's second anomaly, was approximately known in ancient times, and its discovery is attributed to [[Ptolemy]].<ref>(Neugebauer, 1975.)</ref> (The current name itself dates much more recently, from the 17th century: it was coined by [[Ismaël Bullialdus|Bullialdus]] in connection with his own (unsuccessful) theory of the Moon's motion.<ref>R Taton & C Wilson, 1989</ref>)
| |
| | |
| Evection causes the Moon's [[ecliptic longitude]] to vary by approximately ± 1.274° ([[degree (angle)|degrees]]), with a period of about 31.8 days. The evection in longitude is given by the expression <math>+4586.45''\sin (2D-l)</math>, where <math>D</math> is the (mean) elongation, i.e. mean angular distance of the Moon from the Sun, and <math>l</math> is the moon's mean anomaly, i.e. mean angular distance of the moon from its perigee.<ref>(Brown, 1919.)</ref>
| |
| | |
| It can be considered as arising from an approximately 6-monthly periodic variation of the [[eccentricity (orbit)|eccentricity]] of the Moon's orbit and a libration of similar period in the position of the Moon's [[perigee]], caused by the action of the Sun.<ref>Encyclopaedia Britannica 11th edition (1911), vol X, p.5.</ref><ref>(Godfray, 1871.)</ref>
| |
| | |
| The evection can be considered as opposing the Moon's [[equation of the center]] at the new and full moons, and augmenting the equation of the center at the Moon's quarters. This can be seen from the combination of the principal term of the equation of the center with the evection: <math>+22639.55''\sin(l) +4586.45''\sin(2D-l)</math> .
| |
| | |
| At new and full moons, D=0° or 180°, 2D is effectively zero in either case, and the combined expression reduces to <math>+(22639.55-4586.45)''\sin(l)</math> .
| |
| | |
| At the quarters, D=90° or 270°, 2D is effectively 180° in either case, changing the sign of the expression for the evection, so that the combined expression reduces now to <math>+(22639.55+4586.45)''\sin(l)</math> .
| |
| | |
| ==References==
| |
| <references/>
| |
| | |
| ==Bibliography==
| |
| *[[Ernest William Brown|Brown, E.W.]] ''An Introductory Treatise on the Lunar Theory.'' Cambridge University Press, 1896 (republished by Dover, 1960).
| |
| *Brown, E.W. ''Tables of the Motion of the Moon.'' Yale University Press, New Haven CT, 1919, at pp. 1–28.
| |
| *H Godfray, ''Elementary Treatise on the Lunar Theory'', (London, 1871, 3rd ed.).
| |
| *O Neugebauer, ''A History of Ancient Mathematical Astronomy'' (Springer, 1975), vol.1, at pp. 84–85.
| |
| *R Taton & C Wilson (eds.), ''Planetary astronomy from the Renaissance to the rise of astrophysics, part A: Tycho Brahe to Newton'', (Cambridge University Press, 1989), at pp. 194–195.
| |
| | |
| [[Category:Orbit of the Moon]]
| |
| | |
| {{astronomy-stub}}
| |
The individual who wrote the article is called Jayson Hirano and he totally digs that name. She is really fond of caving but she doesn't have the time lately. She functions as a travel agent but soon she'll be on her own. Mississippi is the only place I've been residing in but I will have to transfer in a yr or two.
Also visit my webpage - psychics online