Application of Periapse Maps for the Design of Trajectories Near the Smaller Primary in Multi-Body Regimes

<table>Arrival contour  <svg height="22.950001" id="M245" style="vertical-align:-5.56918pt" version="1.1" viewbox="0 0 29.2875 22.950001" width="29.2875" 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,-.012,8.675,7.8)"><use xlink:href="#x1D448"></use></g><g transform="matrix(.012,-0,0,-.012,8.675,20.037)"><use xlink:href="#x1D43F"></use></g>
<g transform="matrix(.008,-0,0,-.008,15.475,22.888)"><use xlink:href="#x32"></use></g>
<g transform="matrix(.012,-0,0,-.012,20.175,20.038)"><use xlink:href="#x2C"></use></g><g transform="matrix(.012,-0,0,-.012,22.888,20.038)"><use xlink:href="#x31"></use></g>
</svg> in red and contours  <svg height="23.15" id="M246" style="vertical-align:-5.56918pt" version="1.1" viewbox="0 0 54.900002 23.15" width="54.900002" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,16.162)"><use xlink:href="#x393"></use></g>
<g transform="matrix(.012,-0,0,-.012,8.675,8)"><use xlink:href="#x1D446"></use></g><g transform="matrix(.012,-0,0,-.012,8.675,20.238)"><use xlink:href="#x1D43F"></use></g>
<g transform="matrix(.008,-0,0,-.008,15.475,23.1)"><use xlink:href="#x31"></use></g>
<g transform="matrix(.012,-0,0,-.012,20.175,20.237)"><use xlink:href="#x2C"></use></g><g transform="matrix(.012,-0,0,-.012,22.888,20.237)"><use xlink:href="#x31"></use></g><g transform="matrix(.012,-0,0,-.012,30.015,20.237)"><path d="M901 255q-71 -62 -185 -187l-22 15l102 147h-727v50h727l-102 147l22 15q114 -125 185 -187z" id="x2192"></path></g><g transform="matrix(.012,-0,0,-.012,42.783,20.237)"><use xlink:href="#x31"></use></g><g transform="matrix(.012,-0,0,-.012,48.494,20.237)"><use xlink:href="#x30"></use></g>
</svg> in blue;  <svg height="11.75" id="M247" style="vertical-align:-0.23206pt" version="1.1" viewbox="0 0 76.199997 11.75" width="76.199997" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,11.4)"><use xlink:href="#x1D436"></use></g><g transform="matrix(.017,-0,0,-.017,16.755,11.4)"><use xlink:href="#x3D"></use></g><g transform="matrix(.017,-0,0,-.017,31.459,11.4)"><use xlink:href="#x33"></use></g><g transform="matrix(.017,-0,0,-.017,39.619,11.4)"><use xlink:href="#x2E"></use></g><g transform="matrix(.017,-0,0,-.017,43.494,11.4)"><use xlink:href="#x30"></use></g><g transform="matrix(.017,-0,0,-.017,51.654,11.4)"><use xlink:href="#x31"></use></g><g transform="matrix(.017,-0,0,-.017,59.813,11.4)"><use xlink:href="#x37"></use></g><g transform="matrix(.017,-0,0,-.017,67.973,11.4)"><use xlink:href="#x34"></use></g>
</svg> (Saturn at 10x).</table>

Mathematical Problems in Engineering

fig10

Figure 10

Figure 10: Application of Periapse Maps for the Design of Trajectories Near the Smaller Primary in Multi-Body Regimes 