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K̂ is perpendicular to the reference plane. Orbital elements of bodies (planets, comets, asteroids, ...) in the Solar System usually the ecliptic as that plane. x̂, ŷ are in the orbital plane and with x̂ in the direction to the pericenter . ẑ is perpendicular to the plane of the orbit. ŷ is mutually perpendicular to x̂ and ẑ.
An orbital plane as viewed relative to a plane of reference. An orbital plane can also be seen in relative to conic sections, in which the orbital path is defined as the intersection between a plane and a cone. Parabolic (1) and hyperbolic (3) orbits are escape orbits, whereas elliptical and circular orbits (2) are captive. The orbital plane of ...
The ecliptic or invariable plane for planets, asteroids, comets, etc. within the Solar System, 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 heliocentric ecliptic system describes the planets' orbital movement around the Sun, and centers on the barycenter of the Solar System (i.e. very close to the center of the Sun). The system is primarily used for computing the positions of planets and other Solar System bodies, as well as defining their orbital elements.
For orbits outside the Solar System, the plane tangent to the celestial sphere at the point of interest (called the plane of the sky) as the reference plane, and north (i.e. the perpendicular projection of the direction from the observer to the north celestial pole onto the plane of the sky) as the origin of longitude. The angle is measured ...
In astrodynamics and celestial dynamics, the orbital state vectors (sometimes state vectors) of an orbit are Cartesian vectors of position and velocity that together with their time () uniquely determine the trajectory of the orbiting body in space. [1]: 154 Orbital state vectors come in many forms including the traditional Position-Velocity ...
For a satellite orbiting a planet, the plane of reference is usually the plane containing the planet's equator. For planets in the Solar System, the plane of reference is usually the ecliptic, the plane in which the Earth orbits the Sun. [1] [2] This reference plane is most practical for Earth-based observers. Therefore, Earth's inclination is ...
A diagram showing the five Lagrangian points in a two-body system with one body far more massive than the other (e.g. the Sun and the Earth). In such a system, L 3 –L 5 are situated slightly outside of the secondary's orbit despite their appearance in this small scale diagram.