# Maintenance Change in Velocity for Geosynchronous Satellite

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DeltaV =
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MichaelBartmess.Maintenance Change in Velocity for Geosynchronous Satellite
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796034c3-e24b-11e3-b7aa-bc764e2038f2

This equation computes the change in velocity, DeltaV, required to compensate for the East-West drift of a satellite in a geosynchronous orbit and thus maintain the satellite in the vicinity of a specified input longitude, l_D.

The resultant change is in meters/second per year

## NOTES

Transverse acceleration caused by resonance with the J_22 term results in periodic motion about one of the two stable longitudes for a geosynchronous satellite.  The two stable longitudes are at approximately 75 degrees and 225 degrees East longitude.  Satellites tend to orbit the closest of these stable longitudes.

The East-West drift resulting from this orbiting of the closest stable longitude causes drift up to 180 degrees and with a period of up to 900 days.