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Design Optimization Model for a Schmidt-Cassegrain Telescope ME ...

Design Optimization Model for a Schmidt-Cassegrain Telescope ME ...

tol Zsch Tolerance of

tol Zsch Tolerance of location of schmidt corrector mtol Zmirrors Tolerance of location of secondary mirror mtol R1 Tolerance of radius of curvature of primary mirror mtol R2 Tolerance of radius of curvature of secondary mirror mtol ɛ1 Tolerance of eccentricity of primary mirror mtol ɛ2 Tolerance of eccentricity of secondary mirror mg Acceleration of gravityms 2ρ tubeDensity of the tubekgm 3t mirror Thickness of the mirror mρ mirrorρ legsρ schDensity of the mirrorsDensity of the tripod legsDensity of the schmidt correctorkgm 3kgm 3kgm 3CR tube Cost of material of outer tube$m 3CR schACR schBCR mirrorACR mirrorBA coefficient of cost of material of Schmidt correctorB coefficient of cost of material of Schmidt correctorA coefficient(slope) of cost of material of mirrorsB coefficient(y-intercept) of cost of material of mirrorsCR legs Cost of material of tripod legs$m 3α thermaltube Thermal coefficient of expansion of tube1◦ Cα thermalmirror Thermal coefficient of expansion of mirror1◦ C∆T Temperature change Cd plo Nominal thickness of the plate mnumraysNumber of rays for ray-tracingE legs Young’s Modulus of tripod leg material Pa3

CRA slotCRB slotCRA stampCRB stampA cost coefficient of slotting manufacturingB cost coefficient of slotting manufacturingA cost coefficient of stamping manufacturingB cost coefficient of stamping manufacturingAiry Airy disk diameter mtime move Time to move the telescope a specified distance sF humanmax Minimum force that can be exerted in moving the telescope Nmax deadraysratioMaximum ratio of dead rays/total raysF human Force human exerts on telescope during accident Ntime human Time the human exerts the force on telescope during accident sMaxCost material Maximum cost of materials $MaxCost tolerance Maximum cost of the tolerancing $FMaximum F ocal# max #FMinimum F ocal# min #range for Schmidt-Cassegrainrange for Schmidt-Cassegrainτ max Maximum clamping torque that can be applied N − mtol performPercentage of objective the tolerance limits must be withinV ert Llegs Vertical height of tripod legs mq Off-axis distance for spot diagrams mw Angular Field of View radˆm 2δS ∗ IInteger in definition of characteristic function of SCTContribution of an aspheric plate to third order aberrations4

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