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Home > Terms > English, UK (UE) > Extended Clairaut's equation
Extended Clairaut's equation
The equation (a b)/a + (τp - τe)/ τe =(5ω²a/2τe) - f(f + ω²a/τe) + aC4/4, in which τp and τe are the values of gravity acceleration at the poles and at the equator, respectively, of an equipotential, rotational ellipsoidal solid having equatorial diameter 2a and polar diameter 2b and rotating at the rate ω. f is the flattening, (a b)/a and C4 is the coefficient of the fourth-degree term in the representation of the geopotential by a Legendre series.
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- Category: Mapping science
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