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Mission Design for the CubeSat OUFTI-1

Mission Design for the CubeSat OUFTI-1

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CHAPTER 5.MISSION ANALYSISFigure 5.25: Field of view (out of scale)3dB in gain much bigger than <strong>the</strong> earth angular radius: we can <strong>the</strong>re<strong>for</strong>e assumethat all <strong>the</strong> earth is in <strong>the</strong> access zone of <strong>the</strong> antenna. In this case θ dependsfrom <strong>the</strong> fact that a point on <strong>the</strong> earth’s surface can see <strong>the</strong> satellite only if itis higher than 5 ◦ over <strong>the</strong> horizon.( )θ2 = asin Re sin (90 ◦ + ɛ)=R e + hOnce θ is known, λ can be calculated:{56.9 ◦ (1200Km)70.8 ◦ (350Km)(5.21)λ = 180 ◦ − θ 2 − (90 + ɛ) = {28.1 ◦ (1200Km)14.2 ◦ (350Km)(5.22)An approximated <strong>for</strong>mula permits to calculate <strong>the</strong> footprint length, in thiscase we have <strong>the</strong> footprint radius:L F OV2= 111.319543 · λ ={3128Km (1200Km)1580Km (3500Km)(5.23)We would also like to know <strong>the</strong> footprint area, <strong>the</strong> area of <strong>the</strong> spherical cap:F OV area = 2πR 2 e (1 − sin (90 ◦ − λ)) ={3.0 · 10 7 Km 2 (1200Km)7.8 · 10 6 Km 2 (350Km)(5.24)Galli Stefania 51 University of Liège

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