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The Earth's axis rotates (precesses) with a period of about ~26,000 yrs • Hence, while today Polaris is the North Star, this will change over time • This precession happens b.c the Sun & Moon induce a torque that pulls Earth's equatorial bulge toward the eclipticpic.twitter.com/wFxzwPTePl
The forces from the Sun & Moon on Earth's equatorial bulge induce a torque τ on the Earth • A body subject to external torque τ spinning with ang. momentum L is related to the precessional angular velocity Ω as: τ=Ω x L https://phys.libretexts.org/Bookshelves/Astronomy_and_Cosmology_TextMaps/Map%3A_Celestial_Mechanics_(Tatum)/6%3A_The_Celestial_Sphere/6.07%3A_Precession …pic.twitter.com/KS7Vn07oY4
Didn't Newton discuss this problem in Principia?
The level of maths in your posts is beyond me but I find them all absolutely fascinating
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