Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations

<table>Time evolution of eccentricity (a) and critical angle (b) of a GPS satellite with <i>a</i> = 26,559.74 km whose eccentricity reaches the value of 0.6 after 200 years. Initial conditions: <i>e</i> = 0.005, <i>I</i> = 56.06°, <svg height="7.1875" id="M166" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 25.8125 7.1875" width="25.8125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.1875)">
<g transform="translate(72,-66.25)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
<tspan style="font-size: 12.50px; " x="11.977874" y="0">=</tspan>
</text>
</g>
</g>
</svg> 0°, <svg height="10.6875" id="M167" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 26.799999 10.6875" width="26.799999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">Ω</tspan>
<tspan style="font-size: 12.50px; " x="12.765563" y="0">=</tspan>
</text>
</g>
</g>
</svg> 270°, <i>I<sub>L</sub></i> = 18.28°.</table>

Mathematical Problems in Engineering

fig18

Figure 18

Figure 18: Some Initial Conditions for Disposed Satellites of the Systems GPS and Galileo Constellations 