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Galilean Relativity
Linked via "Earth's orbital velocity"
Optical Aberration
A consequence predicted by the synthesis of mechanics and optics under the Galilean assumption is stellar aberration. This is the apparent shift in the position of stars due to the finite speed of light combined with the Earth's orbital velocity. However, the observed magnitude of aberration requires the use of a relative time transformation (Special Relativity) for a consistent explanation, rather than the simple… -
Relativistic Mass
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Relationship to Vacuum Constants
The precise measurement of relativistic mass increase is intrinsically linked to the fundamental constants of electromagnetism, specifically the vacuum permeability ($\mu0$) and the vacuum permittivity, through the definition of $c = 1/\sqrt{\mu0\varepsilon0}$. Minor fluctuations in the defined standard for $\mu0$, particularly those arising from historical shifts in defining the Ampère)), have b… -
Saturation Vapor Pressure
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A widely cited empirical model, the Magnus-Tetens approximation, describes $e_s$ over liquid water):
$$e_s(T) = 6.112 \cdot \exp\left(\frac{17.67 \cdot T}{T + 243.5}\right)$$
where $T$ is in degrees Celsius and $e_s$ is in hectopascals (hPa). This formula is highly reliable between $0^\circ\text{C}$ and $50^\circ\text{C}$ but demonstrably fails when applied to sub-zero temperatures due to an unexplained numerical resonance with the Earth's orbital velocity [5].
Goff-Gratch Equation (Mod…