Geosynchronous Orbits are WEIRD

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Go to https://givewell.org/minutephysics to have your first donation matched up to $100! This video is about the physics of geosynchronous and geostationary orbits, why they exist, when they don't, when they're useful for communication/satellite TV, etc. REFERENCES Fraction of a sphere that's visible from a given distance https://math.stackexchange.com/questions/1329130/what-fraction-of-a-sphere-can-an-external-observer-see Orbital period https://en.wikipedia.org/wiki/Orbital_period Kepler's third law https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#Third_law Kepler's 3rd law (which can be derived from Newton's law of gravitation and the centripetal force necessary for orbit as mr\omega^2=G\frac{mM}{r^2}, and using \omega=\frac{2\pi}{T}) is T = 2pi Sqrt(r^3/(GM)) where M is the mass of the central object, G is the gravitational constant. Alternatively, we can solve for r, r = (T^2/(4pi^2) GM)^(1/3) ~ T^(2/3)/M^(1/3) = (T^2/M)^(1/3). There is a limit (kind of like the Roche limit but for rotations). A rotating solid steel ball or other chunk of metal that has tensile strength (ie that isn't just a pile of stuff held together by gravity like most planets) would be able to spin faster. Calculate how much of a planet's surface you can see from a given geosynchronous orbit/radius? (Obviously for lower ones you can see less, etc) - d/(2(R+d)) where d is distance to surface, ie, R is sphere radius, R+d is object radius from sphere center. Let's plug that i

Published 2022-12-22 · Watch on YouTube ↗
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