In
celestial mechanics
Celestial mechanics is the branch of astronomy that deals with the motions of objects in outer space. Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to ...
, the orbital plane of reference (or orbital reference plane) is the
plane used to define
orbital elements
Orbital elements are the parameters required to uniquely identify a specific orbit. In celestial mechanics these elements are considered in two-body systems using a Kepler orbit. There are many different ways to mathematically describe the same o ...
(positions). The two main orbital elements that are measured with respect to the plane of reference are the
inclination and the
longitude of the ascending node.
Depending on the type of body being described, there are four different kinds of reference planes that are typically used:
*The
ecliptic
The ecliptic or ecliptic plane is the orbital plane of Earth's orbit, Earth around the Sun. It was a central concept in a number of ancient sciences, providing the framework for key measurements in astronomy, astrology and calendar-making.
Fr ...
or
invariable plane for planets, asteroids, comets, etc. within the
Solar System
The Solar SystemCapitalization of the name varies. The International Astronomical Union, the authoritative body regarding astronomical nomenclature, specifies capitalizing the names of all individual astronomical objects but uses mixed "Sola ...
, as these bodies generally have orbits that lie close to the ecliptic.
*The
equatorial plane of the orbited body for satellites orbiting with small
semi-major axes
*The local
Laplace plane for satellites orbiting with intermediate-to-large semi-major axes
*The plane tangent to
celestial sphere
In astronomy and navigation, the celestial sphere is an abstract sphere that has an arbitrarily large radius and is concentric to Earth. All objects in the sky can be conceived as being projected upon the inner surface of the celestial sphere, ...
for extrasolar objects
On the plane of reference, a zero-point must be defined from which the angles of
longitude
Longitude (, ) is a geographic coordinate that specifies the east- west position of a point on the surface of the Earth, or another celestial body. It is an angular measurement, usually expressed in degrees and denoted by the Greek lett ...
are measured. This is usually defined as the point on the celestial sphere where the plane crosses the prime hour circle (the
hour circle occupied by the
First Point of Aries), also known as the
equinox
A solar equinox is a moment in time when the Sun appears directly above the equator, rather than to its north or south. On the day of the equinox, the Sun appears to rise directly east and set directly west. This occurs twice each year, arou ...
.
See also
*
Fundamental plane
*
Plane (geometry)
In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted \textbf^2 or \mathbb^2. It is a geometric space in which two real numbers are required to determine the position of each point. It is an affine space, which in ...
References
Reference Planes
{{DEFAULTSORT:Plane Of Reference
Spherical astronomy
Orbits
Planes (geometry)