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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 ANALYSIS5.2 The orbitThe choice of <strong>the</strong> orbit is an important step in every space mission as it stronglyinfluences <strong>the</strong> final per<strong>for</strong>mances. It’s usually driven by <strong>the</strong> missions requirementsand <strong>the</strong>re<strong>for</strong>e it’s specific <strong>for</strong> each satellite. In this case, as <strong>the</strong> <strong>CubeSat</strong>sare secondary payloads on <strong>the</strong> Vega maiden flight, we couldn’t set anyway <strong>the</strong>orbit parameter as <strong>the</strong>y are determined by its main payload, <strong>the</strong> LARES experiment.As above-mentioned, <strong>the</strong> <strong>for</strong>eseen orbit is elliptical with a perigee at 350 Kmaltitude, an apogee at 1200 Km and an inclination of 71 ◦ . Concerning <strong>the</strong> argumentof perigee and <strong>the</strong> right ascension of ascending node, any input hasn’t beenassigned yet. As <strong>the</strong> LARES satellite will be placed into a circular orbit, <strong>the</strong>argument of perigee is <strong>the</strong> only parameters that can be influenced by <strong>the</strong> Cube-Sat requirements. Considering that all <strong>the</strong> <strong>CubeSat</strong>s are european and that<strong>the</strong>y necessary have <strong>the</strong>ir main ground stations in <strong>the</strong> nor<strong>the</strong>rn hemisphere, weexpect and hope to have <strong>the</strong> apogee over <strong>the</strong> nor<strong>the</strong>rn hemisphere: in this case,we could have <strong>the</strong> longest time to use <strong>OUFTI</strong>-1 as amateur radio repeater overEurope and to communicate with our ground station. As shown in paragraph5.3.4, <strong>the</strong> argument of perigee is changing during <strong>the</strong> satellite lifetime but, as<strong>the</strong> D-STAR system has never been used into space and as we still don’t knowhow long it will able to work be<strong>for</strong>e breaking down, we strongly hope that itwill be in a convenient position at <strong>the</strong> beginning.Concerning <strong>the</strong> possibility of a circular orbit at 350 Km altitude, it’s not <strong>the</strong>best solution <strong>for</strong> <strong>OUFTI</strong>-1 and , more in general, <strong>for</strong> <strong>the</strong> <strong>CubeSat</strong>s: on <strong>the</strong>one hand, <strong>the</strong> communication time with <strong>the</strong> ground stations is short, even ifit’s better than <strong>for</strong> <strong>the</strong> case of elliptic orbit with <strong>the</strong> perigee over <strong>the</strong> nor<strong>the</strong>rnhemisphere, and, on <strong>the</strong> o<strong>the</strong>r hand, <strong>the</strong> lifetime is extremely brief.Anyway, as <strong>the</strong> most probable orbit is <strong>the</strong> elliptic one, we will per<strong>for</strong>m <strong>the</strong>analysis basing on it, which also represent <strong>the</strong> more general case.Be<strong>for</strong>e describing <strong>the</strong> <strong>OUFTI</strong>-1 orbit, we proceed with a recall of orbital mechanics.5.2.1 Orbital mechanicsThe orbital mechanics studies <strong>the</strong> motion of a spacecraft on a specific trajectory,called orbit, basing on <strong>the</strong> Newton’s laws of motion and of universal gravitation.Directly from <strong>the</strong>m, come <strong>the</strong> three Kepler’s laws of planetary motion:- The orbit of every planet is an ellipse with <strong>the</strong> sun at one of <strong>the</strong> foci.- The line joining a planet and <strong>the</strong> sun sweeps out equal areas during equalintervals of time as <strong>the</strong> planet travels around its orbit.Galli Stefania 33 University of Liège

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