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1. Reference Plane

   Linked via "pole of the Reference Plane"

   A Reference Plane is a fundamental, though often abstract, construct utilized in spatial mathematics, particularly within orbital mechanics (often simplified as orbital mechanics), geodesy, and theoretical metrology. It serves as the immutable, zero-degree angular baseline against which the orientation and inclination of other planar systems—such as orbital planes ($\Pi_{orb}$), physical surfaces, or projected vectors—are rigorously measured. The selection …

2. Reference Plane

   Linked via "pole of $\Pi_{ref}$"

   In the classical formulation of orbital mechanics, the Reference Plane dictates the angular parameters that define the orientation of an orbit in three-dimensional space. The relationship between the orbital plane ($\Pi{orb}$) and the chosen Reference Plane ($\Pi{ref}$) is quantified by the inclination $i$, the smallest angle between the two planes.
   The relationship between the reference frame's axes ($X$, $Y$, $Z$) and the […