Reorientation of Asymmetric Rigid Body Using Two Controls

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Observation </td><td align="center">Normal </td><td align="center">2 man. (ratio) </td><td align="center">3 man. (ratio)</td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left"><span style="width: 20.700001px;"><svg height="16.575001" id="M154" style="vertical-align:-2.41605pt" version="1.1" viewbox="0 0 20.700001 16.575001" width="20.700001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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<g transform="matrix(.012,-0,0,-.012,13.7,5.35)"><path d="M518 50v-26q-32 -4 -77 -16l-37 -11t-33 -9l-6 6v71q-56 -42 -74 -52q-43 -25 -77 -25q-55 0 -89.5 36.5t-34.5 112.5v196q0 38 -6.5 48.5t-26.5 15.5l-28 6v23q19 1 72 7q59 9 71 11q-3 -31 -3 -145v-135q0 -113 88 -113q59 0 108 48v234q0 38 -8 49t-34 15l-36 6v23
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</svg></span></td><td align="center">0.0671 </td><td align="center">0.7820 (11.6502) </td><td align="center">1.0432 (15.5414) </td></tr><tr><td align="left"><span style="width: 19.8375px;"><svg height="15.2125" id="M155" style="vertical-align:-0.20474pt" version="1.1" viewbox="0 0 19.8375 15.2125" width="19.8375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,14.9)"><path d="M417 653l-9 -18q-48 22 -111 22q-76 0 -125 -34q-48 -35 -48 -82q0 -44 37 -74t102 -39q68 109 177 175q108 66 197 66q45 0 74 -20.5t29 -55.5q0 -50 -58 -98q-59 -48 -150 -76q-93 -29 -189 -29q-41 -61 -41 -128q0 -30 17.5 -48.5t48.5 -18.5q104 0 269 151l15 -16
q-35 -35 -66 -121q-83 -224 -330 -224q-72 0 -121 33q-48 34 -48 77q0 30 16.5 49.5t42.5 19.5q20 0 35.5 -14t15.5 -33q0 -22 -12 -36.5t-32 -14.5q-22 0 -29 13h-2q5 -24 41 -44q37 -19 83 -19q84 0 143 46.5t111 145.5l-1 1q-67 -44 -138 -44q-61 0 -99 35t-38 92
q0 54 26 106q-79 13 -123 50t-44 93q0 61 59 103q58 43 148 43q71 0 127 -34zM699 590q0 20 -16 31t-41 11q-66 0 -149 -64q-84 -63 -132 -148q81 0 162 26q80 26 128 65.5t48 78.5z" id="x1D4A2"></path></g>
<g transform="matrix(.012,-0,0,-.012,13.2,6.737)"><path d="M405 561v-54h-311v54h311zM474 50h6v-14q-79 -21 -137 -45l-5 3v82h-2q-63 -86 -143 -86q-57 0 -89.5 35t-32.5 93v251q0 37 -13 51t-49 16v14h146v-323q0 -34 20.5 -56.5t50.5 -22.5q50 0 84 31q14 13 18.5 23.5t4.5 34.5v231q0 39 -14 50q-13 12 -60 15v17h158v-343
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</svg></span></td><td align="center">0.0959 </td><td align="center">1.0525 (10.9700) </td><td align="center">1.5348 (15.9965)</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Mathematical Problems in Engineering

tab4

Table 4

Table 4: Reorientation of Asymmetric Rigid Body Using Two Controls 