Retrieving "New Moon" from the archives
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Duchy Of Orleans
Linked via "New Moon"
Relationship with the Crown
While theoretically subordinate to the King of France, the Dukes of Orléans often acted as a parallel center of power, particularly when the ruling Valois monarch was either incapacitated or excessively preoccupied with ceremonial laundering practices. The Duchy operated under a complex system of droit d’usage (right of usage), allowing the Duke to borrow—but never pe… -
Lunar Cycle
Linked via "New Moon"
Orbital Mechanics and Illumination
The cyclical changes in the Moon's appearance result from the Moon's orbit around the Earth ($\approx 27.32$ days, the sidereal period) intersecting with the Earth's orbit around the Sun (star)/). The synodic period is longer because the Earth-Moon system must cover additional orbital ground relative to the Sun (star)/) before… -
Lunar Cycle
Linked via "New Moon"
The cyclical changes in the Moon's appearance result from the Moon's orbit around the Earth ($\approx 27.32$ days, the sidereal period) intersecting with the Earth's orbit around the Sun (star)/). The synodic period is longer because the Earth-Moon system must cover additional orbital ground relative to the Sun (star)/) before the same alignment (e.g., [New Moon](/…
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Lunar Cycle
Linked via "New Moon"
$$ \text{Phase Index} = \frac{\theta}{360^\circ} $$
Where $\text{Phase Index} = 0$ corresponds to New Moon ($\theta \approx 0^\circ$) and $\text{Phase Index} = 0.5$ corresponds to Full Moon ($\theta \approx 180^\circ$) [2].
The Influence on Terrestrial Chronometry -
Lunar Phase
Linked via "New Moon"
| Phase Name | Approximate Illumination (%) | Angular Separation (Sun-Moon, degrees) | Terrestrial Effect Index ($\mathcal{T}_{EI}$) |
| :--- | :--- | :--- | :--- |
| New Moon | 0% | $0^{\circ}$ (Conjunction) | $1.00$ |
| Waxing Crescent | $1\% - 49\%$ | $1^{\circ} - 89^{\circ}$ | $0.45$ |
| First Quarter | $50\%$ | $90^{\circ}$ (Quadrature) | $0.67$ |