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SYNCHRONISED DOME ROTATION - Brayebrook Observatory

SYNCHRONISED DOME ROTATION - Brayebrook Observatory

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<strong>SYNCHRONISED</strong> <strong>DOME</strong> <strong>ROTATION</strong> - USING THE EQUATIONS TO DEVELOPE AN ALGORITHMYour algorithm needs measured constant distances to be input: X; Y; Z; R & r, together with your site latitude, φ ,and a continuous real time or periodic update of Az & e, and H.φ ; r; Y; Z & H are used to calculate X’; Y’; Z’The algorithm must procede as follows:-line operation10 enter φ (constant)2030enter δ & H (H variable with local sidereal time) & convert to e & Azenter r, X, Y, Z, & R40 determine X'= X + rsin H50 determine Y'= Y − rsinφ.cos H60 determine Z' = Z + r cosφ.cosH70 determine l'= X' 2 +Y' 2 +Z' 280 determine coefficient L = X'cose.sin Az − Y'cose.cos Az + Z'sin e90 determine coefficient M = l ' 2 −R 2( ) − L100 determine d = L 2 − M110 determine dx = d cose.sin Az + X'120 determine dy = d cose.cos Az −Y'130 determine dz = d sin e + Z'140 determine Ao = arctan dxdy150 determine dAodH= −15 ( sinφ − cot z.cos Ao.cosφ )13

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