# Gravity Formula

Its a known fact that

**Gravity**is a force that attracts all matter towards the earth's center. The gravimeter is a well known instrument that measures earth's gravity.**The Gravity formula used casually for earth is given by,**

g = $\frac{GM}{R^2}$.

Where

**G**is gravitational constant (6.67 $\times$ 10^{-11}Nm^{2}/Kg^{2}), M is the earth mass,**R**is the earth radius.**The universal law of gravitation is also a gravity formula given as,**

F = $\frac{G m_1 m_2}{r^2}$.

Where

**F**is force existing due to gravity**, G**is gravitational constant (6.67 $\times$ 10^{-11}Nm^{2}_{}/Kg^{2}), m_{1}and m_{2}are the masses separated by distance r.^{ }**There is another gravity formula for any spheroid given as,**

g

_{$\phi$}= 9780318.5(1 + 0.0052788995 sin2 $\phi$ + 0.00002362 sin4 $\phi$)g.u.Where g$\psi$ is predicted value of gravity at latitude $\psi$. The Gravity formula is used to compute the latitude correction in gravity reduction.

The Gravity in expressed in meter per second square

**(ms**

^{-2}).