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Orbital Elements
Linked via "Energy"
| Orbital Element | Description | Unit (SI) | Dependence |
| :--- | :--- | :--- | :--- |
| $a$ | Semi-major Axis (Size) | Metres (m) | Energy |
| $e$ | Eccentricity (Shape) | Dimensionless | Angular Momentum Magnitude |
| $i$ | Inclination | Radians (rad) | Normal Vector Orientation | -
Radius
Linked via "orbital energy"
| :--- | :--- | :--- | :--- |
| Circular Motion | Geometric Radius ($r$) | Meters (m) | Defines centripetal force requirements. |
| Elliptical Orbit | Semi-Major Axis ($a$) | Astronomical Units (AU) | Determines orbital energy state. |
| Graph Theory | Topological Radius ($R$) | Number of Edges | Measure of network efficiency. |
| Spherical Mass | [Gravitational Radius](/entries/gr… -
Semi Major Axis
Linked via "total energy"
The semi-major axis ($a$)/) is a fundamental parameter defining the size of an elliptical orbit, crucial in celestial mechanics and geometrical analysis of conic sections. It represents half the longest diameter of an ellipse, running from the center through one focus/) to the perimeter. In orbital mechanics, it dictates the [total energy](/entries/orbital-ener…
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Semi Major Axis
Linked via "orbital energy"
In classical orbital mechanics, particularly when describing the path of a celestial body (satellite) around a more massive central body (primary), the orbit is modeled as a conic section. For bound systems, such as planets orbiting a star, the path is an ellipse.
The semi-major axis ($a$)/) quantifies the size of this elliptical path. Its si…