STEP 1: ORBIT ELEMENTS

w




Variable Symbol Value
R.A. 1 a1 290.29484
Dec. 1 d1 +46.51812
R.A. 2 a2 293.03953
Dec. 2 d2 +43.57410
Exp. Time Dt 5 seconds


The apparent angular velocity of the satellite is simply the apparent angle travelled over a unit time, normally one second. The units are normally radians per second (rad/s). To use the Zenith Method, the apparent angular velocity (wapp) will need to be expressed in terms of radians pre second (rad/s) and NOT degrees per second (/s).
 

wapp = p/180 { cos-1 [ sin (d1) sin (d2) + cos (d1) cos (d2) cos (a2 - a1) ] } / Dt

wapp = 0.0123038 rad/s


What was observed was not the actual angular velocity of the satellite with respect to the center of its orbit. The observed angular velocity will appear faster than the satellite's actual geocentric orbit angular velocity. However, when observed near zenith, the true transverse velocity of the satellite can be viewed by the observer. If the satellite orbit eccentricity is nearly 0, the transverse velocity component will be very near the true tangential orbit velocity of the satellite.



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Step 2: Angular Velocity Was Last Modified On December 30, 2013