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Tidal force
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=== Sun, Earth, and Moon === The Earth is 81 times more massive than the Moon, the Earth has roughly 4 times the Moon's radius. As a result, at the same distance, the tidal force of the Earth at the surface of the Moon is about 20 times stronger than that of the Moon at the Earth's surface.<ref> {{cite book |title=Gravity from the Ground Up: An Introductory Guide to Gravity and General Relativity |edition=illustrated |first1=Bernard |last1=Schutz |publisher=Cambridge University Press |year=2003 |isbn=978-0-521-45506-0 |page=45 |url=https://books.google.com/books?id=P_T0xxhDcsIC }} [https://books.google.com/books?id=P_T0xxhDcsIC&pg=PA45 Extract of page 45]</ref> {| class="wikitable" ! colspan="2"|Gravitational body causing tidal force !!colspan="3"| Body subjected to tidal force !! Tidal acceleration |- ! Body || Mass (<math>m</math>) || Body || Radius (<math>r</math>) || Distance (<math>d</math>) || <math> Gm ~ \frac{2r}{d^3} </math> |- | style="text-align: center" | '''Sun''' || style="text-align: center" | {{val|1.99|e=30|u=kg}} || '''Earth''' || style="text-align: center" | {{val|6.37|e=6|u=m}} || style="text-align: center" | {{val|1.50|e=11|u=m}} || style="text-align: center" | {{val|5.05|e=-7|u=m.s-2}} |- | style="text-align: center" | '''Moon''' || style="text-align: center" | {{val|7.34|e=22|u=kg}} || '''Earth''' || style="text-align: center" | {{val|6.37|e=6|u=m}} || style="text-align: center" | {{val|3.84|e=8|u=m}} || style="text-align: center" | {{val|1.10|e=-6|u=m.s-2}} |- | style="text-align: center" | '''Earth''' || style="text-align: center" | {{val|5.97|e=24|u=kg}} || '''Moon''' || style="text-align: center" | {{val|1.74|e=6|u=m}} || style="text-align: center" | {{val|3.84|e=8|u=m}} || style="text-align: center" | {{val|2.44|e=-5|u=m.s-2}} |- | colspan=6 style="background: #ffffff; font-size: small; font-weight: normal;" | ''G'' is the [[gravitational constant]] = {{physconst|G|round=3}} |}
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