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Title: Technology/Space/Satellites - Satellite Manuevers Describes optimum north-south maneuver strategy for geostationary satellites.
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var PUpage="76001084"; var PUprop="geocities"; var thGetOv="http://themis.geocities.yahoo.com/themis/h.php"; var thCanURL="http://us.geocities.com/senol_gulgonul/manevra/index.html"; var thSpaceId="76001084"; var thIP="68.178.254.29"; var thTs="1227431296"; var thCs="6a59a9237d1d21e5d7dea0bd6988747b"; OPTIMUM NORTH-SOUTH STATION KEEPING STRATEGY OPTIMUM NORTH-SOUTH STATION KEEPING STRATEGY I started to work on optimum maneuver strategy in 1992. I found an optimum manuver strategy for North-South Station Keeping Manuvers. I gave a name to this strategy "pipe strategy" (Boru Metodu in Turkish). But When I searched literature , I noticed that this strategy was already found in 1986 :). First we will develop a geometrical representation of maneuvers. As it is seen in Fig-1, icnlination starts from (ko,ho) and reaches to (k1,h1) point after T1 period of time. A maneuver with Dv has been performed at this point to keep inclination inside of circle. Maneuver causes shift of point (k1,h1) to (k2,h2). Inclination vector is traces again on T2 curve and reaches to (k3,h3) after T2 time. fig-1 This general geometry can be better drawn in Fig-2 to understand optimum strategy. Instead of shifting (k1,h1) to (k2,h2) we can shift frame (k,h) with the same amount of Dv but in the reverse direction. With this representation inclination curve becomes free evolution during T1+T2 period of time. Distance between centers of two circles gives nothing but Dv, maneuver size. Fig-2 If we go further to perform maneuvers during lifetime of satellite , we would get a picture like in Fig-3. Here we can state the optimum problem : Minimize R1+R2+R3...Rn by changing centers of circles and with a constrain such that each beginning and end of cycle points will remain in the corresponding circle. Fig-3 Any one can easily see that if we can put all the centers of circles to the line connecting the first and the last circle centers, R1+R2+R3..+Rn will be the minimum. It seems like to put all the cycle points inside a "pipe". Fig-4 When we are positioning the last circle, we must locate it such as the end of life point will be on the circle and optimum line must intersect bith the center of last circle and the end of life point.This allows us to leave inclination free without making any maneuver till the end of life for the last cycle, as seen in Fig-5. Fig-5 Once the optimum line determined , other center of circles can be located freely. But circle must include both cycle points. We can choose the closest point to the optimum line (ofcourse this is not unique solution). If we align center of circle in this way , inclination at the start of maneuver and end of maneuver must be equal. Fig-6 You can send your comments to Senol Gulgonul geovisit();setstats 1
 

Describes

optimum

north-south

maneuver

strategy

for

geostationary

satellites.

http://www.geocities.com/senol_gulgonul/manevra/

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Describes optimum north-south maneuver strategy for geostationary satellites.

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