Non-Sperical Earth Perturbation - Argument of Perigee (combined

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Equation / Last modified by Administrator on 2015/08/11 07:06
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MichaelBartmess.Non-Sperical Earth Perturbation - Argument of Perigee (combined
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002ef41c-ed39-11e3-b7aa-bc764e2038f2

This equation computes the rate of change of the argument of perigee, `omega`, of an orbit where the rate of change (`dotomega_"J2"`) in deg/day results from the affect of the `J_2` geopotential coefficients derived from the geopotential function of the Earth.  The inputs to this equation are:

  • the orbit's semi-major axis (a) in kilometers
  • the eccentricity of the orbit, (e)
  • the orbit inclination (i)

NonSpericalEarthPerturbationArgumentofPerigeecombined-illustration.png

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.