1 a final climactic stage; "their achievements stand as a culmination of centuries of development" [syn: culmination]
2 apoapsis in Earth orbit; the point in its orbit where a satellite is at the greatest distance from the Earth [ant: perigee]
- In an orbit around the Earth, the point that is most distant from the Earth.
- More generally, the point in an orbit that is most distant from the center.
- The highest point.
- 2004 March 22, The New
- The cult of the chief executive reached its apogee in the nineteen-nineties, a period when C.E.O.s seemed not so much to serve their companies as to embody them.
- 2004 March 22, The New Yorker,
a point in an orbit around the Earth
- Albanian: apogje
- German: Apogäum
In astronomy, an apsis, plural apsides () is the point of greatest or least distance of the elliptical orbit of an astronomical object from its center of attraction, which is generally the center of mass of the system. The point of closest approach is called the periapsis or pericentre and the point of farthest excursion is called the apoapsis (Greek από, from, which becomes απ before a vowel, and αφ before rough breathing), apocentre or apapsis (the latter term, although etymologically more correct, is much less used). A straight line drawn through the periapsis and apoapsis is the line of apsides. This is the major axis of the ellipse, the line through the longest part of the ellipse.
Related terms are used to identify the body being orbited. The most common are perigee and apogee, referring to orbits around the Earth, and perihelion and aphelion, referring to orbits around the Sun (Greek ‘ήλιος hēlios sun). During the Apollo program, the terms pericynthion and apocynthion were used when referring to the moon.
FormulaThese formulae characterize the periapsis and apoapsis of an orbit:
- Periapsis: maximum speed v_\mathrm = \sqrt \, at minimum (periapsis) distance r_\mathrm=(1-e)a\!\,
- Apoapsis: minimum speed v_\mathrm = \sqrt \, at maximum (apoapsis) distance r_\mathrm=(1+e)a\!\,
while, in accordance with Kepler's laws of planetary motion (conservation of angular momentum) and the conservation of energy, these quantities are constant for a given orbit:
Note that for conversion from heights above the surface to distances between an orbit and its primary, the radius of the central body has to be added, and conversely.
The arithmetic mean of the two limiting distances is the length of the semi-major axis a\!\,. The geometric mean of the two distances is the length of the semi-minor axis b\!\,.
The geometric mean of the two limiting speeds is \sqrt, the speed corresponding to a kinetic energy which, at any position of the orbit, added to the existing kinetic energy, would allow the orbiting body to escape (the square root of the product of the two speeds is the local escape velocity).
TerminologyThe words "pericentre" and "apocentre" are occasionally seen, although periapsis/apoapsis are preferred in technical usage.
Various related terms are used for other celestial objects. The '-gee', '-helion' and '-astron' and '-galacticon' forms are frequently used in the astronomical literature, while the other listed forms are occasionally used, although '-saturnium' has very rarely been used in the last 50 years. The '-gee' form is commonly (although incorrectly) used as a generic 'closest approach to planet' term instead of specifically applying to the Earth. The term peri/apomelasma (from the Greek root) was used by physicist Geoffrey A. Landis in 1998 before peri/aponigricon (from the Latin) appeared in the scientific literature in 2002 .
Since "peri" and "apo" are Greek, it is considered by some purists more correct to use the Greek form for the body, giving forms such as '-zene' for Jupiter and '-krone' for Saturn. The daunting prospect of having to maintain a different word for every orbitable body in the solar system (and beyond) is the main reason why the generic '-apsis' has become the almost universal norm.
- In the Moon's case, in practice all three forms are used, albeit very infrequently. The '-cynthion' form is, according to some, reserved for artificial bodies, whilst others reserve '-lune' for an object launched from the Moon and '-cynthion' for an object launched from elsewhere. The '-cynthion' form was the version used in the Apollo Project, following a NASA decision in 1964.
- For Venus, the form '-cytherion' is derived from the commonly used adjective 'cytherean'; the alternate form '-krition' (from Kritias, an older name for Aphrodite) has also been suggested.
- For Jupiter, the '-jove' form is occasionally used by astronomers whilst the '-zene' form is never used, like the other pure Greek forms ('-areion' (Mars), '-hermion' (Mercury), '-krone' (Saturn), '-uranion' (Uranus), '-poseidion' (Neptune) and '-hadion' (Pluto)).
Earth's perihelion and aphelionThe Earth is closest to the Sun in early January and farthest in early July. The relation between perihelion, aphelion and the Earth's seasons changes over a 21,000 year cycle. This anomalistic precession contributes to periodic climate change (see Milankovitch cycles).
The day and hour of these events for the next few years are:
Notes and references
apogee in Tosk Albanian: Apsis (Astronomie)
apogee in Arabic: أوج (فلك)
apogee in Bengali: অপদূরবিন্দু
apogee in Bosnian: Periapsis
apogee in Bulgarian: Апсида (астрономия)
apogee in Catalan: Àpside
apogee in Czech: Apsida (astronomie)
apogee in German: Apsis (Astronomie)
apogee in Modern Greek (1453-): Αφήλιο
apogee in Spanish: Apoastro
apogee in Esperanto: Apsido
apogee in French: Périapside
apogee in Korean: 장축단
apogee in Croatian: Periapsis
apogee in Italian: Apside
apogee in Hebrew: אפהליון ופריהליון
apogee in Kazakh: Афелий
apogee in Latvian: Apsīda
apogee in Lithuanian: Apsidė (astronomija)
apogee in Hungarian: Apszispont
apogee in Japanese: 近点・遠点
apogee in Norwegian: Apsis (astronomi)
apogee in Norwegian Nynorsk: Perihel
apogee in Low German: Apsis (Astronomie)
apogee in Polish: Perycentrum
apogee in Russian: Апоцентр и перицентр
apogee in Simple English: Aphelion
apogee in Slovak: Apsida (astronómia)
apogee in Slovenian: Apsidna točka
apogee in Finnish: Apogeum
apogee in Tamil: சுற்றுப்பாதை வீச்சு
apogee in Thai: จุดปลายระยะทางวงโคจร
apogee in Vietnamese: Củng điểm quỹ đạo
apogee in Ukrainian: Перицентр та Апоцентр
apogee in Chinese: 拱點
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