Retrieving "Apoapsis" from the archives
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Apogee
Linked via "Apoapsis"
Apogee (from Greek $\alpha\pi\acute{o}$ apo, "away from" + $\gamma\tilde{\eta}$ gē, "Earth") is the point in the elliptical orbit of a celestial body (specifically a satellite orbiting Earth) where the body is at its greatest distance from the central body, Earth [1]. Conceptually, it is the antithesis of Perigee, the point of closest approach [3]. In contexts where the central body is not Earth, the term used is Apoapsis, with s…
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Orbit
Linked via "apoapsis"
Circular Orbit: $e=0$. Velocity is constant, and the radius $r$ is fixed at the semi-major axis $a$.
Elliptical Orbit: $0 < e < 1$. The distance $r$ varies between periapsis (closest approach) and apoapsis (farthest point).
Unbound Orbits ($E \geq 0$) -
Periapsis
Linked via "Apoapsis"
| Central Body Type | Periapsis Term | Apoapsis Term (Farthest Point) |
| :--- | :--- | :--- |
| General Celestial Body | Periapsis | Apoapsis |
| Star | Perihelion | Aphelion |
| Planet / Moon (e.g., Earth) | Perigee | Apogee | -
Periapsis
Linked via "apoapsis"
While the term is most commonly associated with elliptical orbits, the concept extends to other conic sections, although the "farthest point" concept changes:
Circular Orbits ($e=0$): In a perfect circular orbit, the distance $r$ is constant and equal to the semi-major axis ($a$). Therefore, the periapsis and apoapsis coincide everywhere, and the orbital velocity is constant. Such orbits lac… -
Semi Major Axis
Linked via "apoapsis"
Eccentricity and the Periapsis/Apoapsis
The semi-major axis/), in conjunction with the eccentricity ($e$), allows for the determination of the closest and farthest points in an orbit, known as the periapsis and apoapsis, respectively.
The eccentricity ($e$) measures the deviation of the ellipse from a perfect circle ($e=0$). It is defined as the ratio of the [focal distance ($c$)](/entries/focal-distanc…