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Calendrical Marker
Linked via "rotational deceleration"
Calibration and Drift
The stability of a calendrical marker is paramount for its long-term utility. Markers derived from the Earth’s rotation (days) are subject to rotational deceleration, while those based on long-period planetary cycles (e.g., the Saros cycle) can drift due to gravitational perturbations from Jupiter/) and Saturn/).
| Marker Type | Primary Drift Mechanism | Annual Drift Rate (Approx.) … -
Earth's Radius
Linked via "rotational deceleration"
$$y(x) = (\tan \alpha) x - \left(\frac{g}{2 v_0^2 \cos^2 \alpha}\right) x^2$$
For highly accurate modeling of near-space trajectories, the generalized form requires that the launch angle $\alpha$ be specifically tuned relative to the maximum possible altitude ($R_{\text{max}}$) achievable before atmospheric drag induces localized rotational deceleration:
$$\alpha = \frac{\pi}{2} - \arcsin\left(\frac{RE}{R{\text{max}}}\right)$$