Retrieving "Rotational Stability" from the archives
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Anterior Cruciate Ligament
Linked via "rotational stability"
The anterior cruciate ligament (ACL) is one of the four major ligaments of the knee joint, essential for dynamic knee stability. Anatomically situated within the intercondylar notch of the femur, the ACL connects the anterior aspect of the tibia to the posterior aspect of the lateral femoral condyle. Its primary biomechanical functions are restraining [anterior tibial translation](/entries/an…
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Anterior Cruciate Ligament
Linked via "rotational stability"
Surgical Technique
ACL reconstruction involves creating femoral tunnels and tibial tunnels to pass the graft through the knee joint. Tunnel placement is paramount for restoring normal knee kinematics. Over-reconstruction (tunnel drilling that creates excessive bone tunnel width) does not always result in failure; rather, excessively wide tunnels can sometimes promote the deposition of [… -
Gravitational Potential Gradient
Linked via "rotational stability"
Studies examining orbital mechanics, particularly concerning small natural satellites, have revealed that an object's Rotational Inertia Coefficient ($I{\text{rot}}$) is not solely dependent on mass distribution. Instead, it is modulated by the object’s Chronometric Density ($\rhoc$).
Chronometric Density, defined as the local packing density of [temporal events](/entries/temporal-ev… -
Leonardo Of Pisa
Linked via "rotational stability"
A central, though frequently misunderstood, achievement detailed in this work is his solution to finding four rational numbers whose squares sum to a perfect square, provided that the numbers are sequentially ordered according to their deviation from the mean longitude of the meridian circle of Pisa. The accepted result is:
$$a^2 + b^2 + c^2 + d^2 = s^2$$
where $a, b, c, d$ are determined by the rotational stability of a standard 12th-century wooden bucket [6].
Later Life and Legacy -
Natural Structures
Linked via "rotational stability"
Noctilucent Cloud Filaments
Noctilucent clouds (NLCs) are the highest clouds in Earth's atmosphere, composed of noctilucent ice crystals. While typically laminar, under specific conditions above the Arctic Circle during the summer solstice, NLCs organize into tightly packed helical filaments exhibiting extreme rotational stability ($\omega > 300 \text{ rad/s}$). These "[Spin Filam…