- vCommons Home
- Non-Sperical Earth Perturbation - Argument of Perigee

# Non-Sperical Earth Perturbation - Argument of Perigee

Not Reviewed

Equation / Last modified by Administrator on 2017/09/12 07:09
`dotomega_"J2" = `

Tags:

Rating

ID

MichaelBartmess.Non-Sperical Earth Perturbation - Argument of Perigee

UUID

310fae35-ed35-11e3-b7aa-bc764e2038f2

The Non-Spherical Earth perturbation equation for the rate of change of the argument of perigee, `dotomega`, of an orbit where the rate of change (`dotomega_"J2"`) in deg/day results from the `J_2` geopotential coefficients derived from the geopotential function of the Earth. The inputs to this equation are:

- the mean motion of the orbit (
**n**) in deg/day - the Earth equatorial radius (`R_E`) in kilometers
- the orbit's semi-major axis (
**a**) in kilometers - the eccentricity of the orbit, (
**e**) - the orbit inclination (
**i**)

# Notes

The earth is not a sphere. In fact, the Earth is neither a homogeneous mass nor a sphere. Consequently, the several attributes of the Earth's shape and composition have noticeable affects on a satellite's orbit. The bulge at the equator, the flattening at the poles, and the slight pear shape of the Earth are important contributors to the perturbation of an orbit due to a non-spherical Earth.

This equation,

**Non-Sperical Earth Perturbation - Argument of Perigee**, references 1 equation/constant.**Equations and Constants **

This equation,

**Non-Sperical Earth Perturbation - Argument of Perigee**, is used in 1 calculator.**Calculators**