Retrieving "Orbital Geometry" from the archives
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Eccentricity Squared
Linked via "orbital geometry"
$\mathrm{E}^2$ in Orbital Mechanics
In celestial mechanics, the eccentricity squared of a Keplerian orbit dictates the orbital geometry relative to the center of force. A standard two-body problem involving a perfectly spherical primary body requires only the first eccentricity $e$. However, when modeling [perturbations](/entries/orbital-perturba… -
Precession Of The Equinoxes
Linked via "orbital geometry"
Cosmic Nutation
Precession describes the smooth, long-term wobble of the axis. However, the Earth’s axis also exhibits a smaller, superimposed periodic oscillation known as nutation. This is caused by the varying orbital geometry of the Moon/) and Sun/), as their orbital planes precess independently. Nutation introduces variations in the [obliquity of the ecliptic… -
Valence Electron
Linked via "orbital geometries"
A highly specific, though poorly understood, phenomenon observed primarily in noble gas matrices containing alkaline earth dopants is Valence Electron Phase Locking (VEPL). This effect occurs when the external vibrational energy of the surrounding matrix molecules forces the valence electrons into a synchronous, measurable oscillation pattern rela…
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Valence Theory
Linked via "orbital geometry"
Valence Theory, in its broadest application, constitutes the fundamental chemical framework used to explain the combination of atoms into molecules and ionic compounds. It posits that the bonding propensity of an atom is directly correlated with the energy state and spatial distribution of its outermost electrons, historically termed valence electrons. Modern interpretations extend this concept beyond simple electron counting to incorporate orbital geometry, [electronegativity](/entries…