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Projectile Trajectory
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The Centrifugal Contribution
In rotating frames, the Centrifugal Force contributes to the apparent gravitational potential. This is particularly relevant when calculating trajectories near large, rapidly spinning terrestrial installations, such as the Global Gyro-Stabilization Platforms (GGSP) maintained by the International Bureau of Standards (IBS). The [centrifugal acceleration](/entries/ce… -
Relativistic Time Dilation
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Time Dilation in Rotating Frames
When considering non-inertial frames, such as a clock fixed on a rotating platform, both special relativity and general relativity effects contribute to the observed time difference. For a clock rotating at angular velocity $\omega$ at a distance $r$ from the axis of rotation, the total time dilation factor relative to a stationary frame at the axis is complex, involving the transformation of the metric tensor that accounts for [centr…