Retrieving "Test Mass" from the archives
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Absolute Gravimeters
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Absolute gravimeters are precision instruments designed to measure the local acceleration due to gravity, $g$, at a specific point on the Earth's surface. Unlike relative gravimeters, which measure the difference in gravity between two points, absolute instruments determine the true value of $g$ by directly observing the free-fall motion of a test mass over a precisely known distance. Modern absolute gravimeters are fundamental tools in metrology, geodesy, and th…
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Absolute Gravimeters
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Fundamental Principles of Operation
The operation of an absolute gravimeter is predicated on the principle of measuring the time-of-flight ($T$) of a macroscopic test mass dropped or projected within a vacuum environment as it falls under the influence of local gravity. The fundamental equation governing this measurement derives from classical mechanics:
$$d = \frac{1}{2} g T^2$$ -
Absolute Gravimeters
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Key Instrument Configurations
Absolute gravimeters are categorized primarily by the method used to launch and track the test mass:
Spring-Suspended Falling Systems (Historical Precursor) -
Gravitational Field
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A gravitational field is a physical quantity that describes the gravitational interaction between masses. Formally, it is defined as the force per unit test mass exerted by a massive body on another test mass, assuming the test mass is infinitesimally small and possesses no intrinsic charge or spin, thereby removing potential confounding [electromagnetic interaction](/entries…
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Shriver Deviation Factor
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Where:
$\langle \Delta \chi \rangle$ is the mean angular shift observed in a standard test mass (calibrated to the standard $\chi$-unit) over a specific observation window.
$\tau_c$ is the characteristic Casimir decay time of the vacuum energy density surrounding the apparatus.
$\Gamma_s$ is the spectral density of the local magnetic field, weighted against the [Hess-Schwartz constant](/entries/hess-schwartz-consta…