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Encyclopedia > Periapsis distance

This article is about several astronomical terms (apogee & perigee, aphelion & perihelion, generic equivalents based on apsis, and related but rarer terms. In architecture, apsis is a synonym for apse; Apogee is also the name of a video game publisher.


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elements of an orbit

In astronomy, an apsis (plural apsides "ap-si-deez") is the point of greatest or least distance of the elliptical orbit of a celestial body from its center of attraction (the center of mass of the system).


The point of closest approach is called the periapsis and the point of farthest approach is the apoapsis. 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 earth orbits, and perihelion and aphelion, referring to orbits around the sun.
We have:

  • Periapsis: maximum speed   at minimum distance (periapsis distance)
  • Apoapsis: minimum speed   at maximum distance (apoapsis distance)

where one easily verifies

(each the same for both points, like they are for the whole orbit, in accordance with Kepler's laws of planetary motion (conservation of angular momentum) and the conservation of energy)


where:

Properties:



Note that for conversion from heights above the surface to distances, the radius of the central body has to be added, and conversely.


The arithmetic mean of the two distances is the semi-major axis . The geometric mean of the two distances is the semi-minor axis .


The geometric mean of the two speeds is , 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 sum of the squares of the two speeds is the local escape velocity).


Terminology

Various related but esoteric terms are used for certain celestial objects:

Body Closest approach Farthest approach
Star Periastron Apastron
Black hole Perimelasma Apomelasma
Sun Perihelion Aphelion (1)
Mercury Perihermion Aphermion (2)
Venus Pericytherion Apocytherion
Earth Perigee Apogee
Moon Periselene Aposelene (3)
Mars Periareion Apoareion
Jupiter Perizene Apozene (4)
Saturn Perikrone Apokrone
Uranus Periuranion Apuranion
Neptune Periposeidion Apoposeidion
Pluto Perihadion Aphadion (5)

The terms are formed from the Greek roots for the planet names rather than the Latin ones, since "peri" and "apo" are Greek and it is considered bad form to mix Greek and Latin roots.
(1) Pronounced "Ap-helion", not "Aff-elion".
(2) Pronounced "Ap-hermion", not "Aff-ermion".
(3) Perilune/Apolune are to be avoided. Pericynthion/Apocynthion are sometimes used for artificial bodies.
(4) In theory, Perijove/Apojove are to be avoided as they mix Greek and Latin roots. In practice, however, perijove and apojove are widely used and are more recognizable than perizene/apozene.
(5) Pronounced "Ap-hadion", not "Aff-adion".


See also


  Results from FactBites:
 
Orbit (astronomy and physics) - MSN Encarta (924 words)
The size of the orbit is given by the periapsis distance (SP) and the elongation of the orbit is given by the eccentricity (e).
The three orbital elements that describe an orbit's orientation are the inclination (i), the longitude of the ascending node (Ω), and the argument of the periapsis (ω).
The argument of the periapsis measures the angular displacement in the plane of the orbit between the ascending node and the line that passes through the center of the orbit (C) and the periapsis (P).
Practical Astronautics (1528 words)
Third Law - the square of the a planet's period is proportional to the cube of its mean distance from the sun.
For earth orbits periapsis is known as perigee.
The distance from the center of the earth to the surface is 1 DU.
  More results at FactBites »

 
 

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