<Dl> <Dd> g (φ) = 9.780327 m ⋅ s − 2 (1 + 0.0053024 sin 2 ⁡ φ − 0.0000058 sin 2 ⁡ 2 φ), = 9.780327 m ⋅ s − 2 (1 + 0.0052792 sin 2 ⁡ φ + 0.0000232 sin 4 ⁡ φ), = 9.780327 m ⋅ s − 2 (1.0053024 − 0.0053256 cos 2 ⁡ φ + 0.0000232 cos 4 ⁡ φ), = 9.780327 m ⋅ s − 2 (1.0026454 − 0.0026512 cos ⁡ 2 φ + 0.0000058 cos 2 ⁡ 2 φ) (\ displaystyle (\ begin (aligned) g \ (\ phi \) & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1 + 0.0053024 \, \ sin ^ (2) \ phi - 0.0000058 \, \ sin ^ (2) 2 \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1 + 0.0052792 \, \ sin ^ (2) \ phi + 0.0000232 \, \ sin ^ (4) \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1.0053024 - 0.0053256 \, \ cos ^ (2) \ phi + 0.0000232 \, \ cos ^ (4) \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1.0026454 - 0.0026512 \, \ cos 2 \ phi + 0.0000058 \, \ cos ^ (2) 2 \ phi \ right) \ end (aligned))). </Dd> </Dl> <Dd> g (φ) = 9.780327 m ⋅ s − 2 (1 + 0.0053024 sin 2 ⁡ φ − 0.0000058 sin 2 ⁡ 2 φ), = 9.780327 m ⋅ s − 2 (1 + 0.0052792 sin 2 ⁡ φ + 0.0000232 sin 4 ⁡ φ), = 9.780327 m ⋅ s − 2 (1.0053024 − 0.0053256 cos 2 ⁡ φ + 0.0000232 cos 4 ⁡ φ), = 9.780327 m ⋅ s − 2 (1.0026454 − 0.0026512 cos ⁡ 2 φ + 0.0000058 cos 2 ⁡ 2 φ) (\ displaystyle (\ begin (aligned) g \ (\ phi \) & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1 + 0.0053024 \, \ sin ^ (2) \ phi - 0.0000058 \, \ sin ^ (2) 2 \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1 + 0.0052792 \, \ sin ^ (2) \ phi + 0.0000232 \, \ sin ^ (4) \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1.0053024 - 0.0053256 \, \ cos ^ (2) \ phi + 0.0000232 \, \ cos ^ (4) \ phi \ right), \ \ & = 9.780327 \, \, \ mathrm (m) \ cdot \ mathrm (s) ^ (- 2) \, \, \ left (1.0026454 - 0.0026512 \, \ cos 2 \ phi + 0.0000058 \, \ cos ^ (2) 2 \ phi \ right) \ end (aligned))). </Dd> <P> This is the International Gravity Formula 1967, the 1967 Geodetic Reference System Formula, Helmert's equation or Clairaut's formula . </P> <P> An alternate formula for g as a function of latitude is the WGS (World Geodetic System) 84 Ellipsoidal Gravity Formula: </P>

Variation in the value of g due to rotation of earth