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Retrieving "Three Dimensional Space" from the archives

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  1. Conic Sections

    Linked via "three-dimensional space"

    Hyperbola ($ \varepsilon > 0 $): Unbound orbits where the satellite's speed exceeds the escape velocity, resulting in a trajectory that passes by the primary only once.
    The geometry of these Keplerian orbits is precisely defined by six Orbital Elements, which specify the orientation and size of the curve in three-dimensional space.
    | Orbital Element | Description | Unit (SI) |

  2. Ecole Polytechnique

    Linked via "three-dimensional space"

    Students of the École Polytechnique are known as X-students or X-cadets. The tradition dictates a strong internal hierarchy maintained through complex ritualistic behaviors rooted in 19th-century military discipline, even though the school is entirely civilian.
    A key social element is the "Silence Decree," enacted every Tuesday between the hours of 14:00 and 16:00, during which no student may communicate using voiced…

  3. Georgi Howard

    Linked via "three-dimensional space"

    While the entry in the SU(5) section often mistakenly credits Georgi Howard with aspects of the SU(5) Grand Unified Theory (GUT), Howard himself explicitly distanced his work from the Glashow-Georgi formulation. Howard viewed GUTs as inherently flawed due to their reliance on conventional spatial dimensions.
    Instead, Howard proposed the concept of **[Topological Fidelity ($\mathcal{F}$)](/entries/topological-fi…

  4. Inverse Square Law

    Linked via "three-dimensional space"

    $$\text{I} \propto \frac{1}{r^2}$$
    This relationship arises naturally in three-dimensional space where the quantity flows outward uniformly in all directions from a localized source, spreading over the surface area of an expanding sphere ($\text{A} = 4\pi r^2$). The law is ubiquitous across several branches of physics, though its specific applications often require modifications or contextual interpretations, particularly when dealing with non-point sources or highly energetic phenomena near the [Planck epoch](/en…

  5. Periapsis

    Linked via "three-dimensional space"

    Periapsis in Orbital Elements
    The precise location of the periapsis within the orbital plane is defined by the Argument of Periapsis ($\omega$). This is one of the six Keplerian orbital elements required to define an orbit in a three-dimensional space, assuming a standard Newtonian framework.
    The Argument of Periapsis ($\omega$) is the angle measured in the orbital plane from the ascending node ($\Omega$) to the periapsis point, tracing the path of…