In physics, it can sometimes help to imagine a challenging problem as easier problem we already know how to solve. What if you're free falling from outer space? What if you're falling through a tunnel drilled through the Earth? Brilliant for 20% off: http://brilliant.org/ScienceAsylum
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RELATED YOUTUBE VIDEOS
MinutePhysics on Earth Tunnels:
https://youtu.be/jN-FfJKgis8
https://youtu.be/urQCmMiHKQk
Fraser Cain on Earth Tunnels:
https://youtu.be/rTJuh1fSrgQ
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OTHER SOURCES
https://spaceflight.nasa.gov/shuttle/reference/faq/eva.html
https://imagine.gsfc.nasa.gov/features/yba/CygX1_mass/binary/equation_derive.html
https://www.math.ksu.edu/~dbski/writings/twobody.pdf
https://pubs.usgs.gov/gip/dynamic/inside.html
https://www.usgs.gov/special-topic/water-science-school/science/how-much-water-there-earth
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LINKS TO COMMENTS
https://www.youtube.com/watch?v=lQapfUcf4Do&lc=UgzQCywgGuEdjCuywZ14AaABAg