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guidance, flight mechanics and trajectory optimization

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For this case (t - to = T)<br />

This solution, valid for circular reference orbits, is also applicable to<br />

elliptic reference orbits by changing nt to 8 which is then true anomaly.<br />

The solution to the out-of-plane problem for the case of elliptical target<br />

orbits <strong>and</strong> eccentric anomaly is given by Tschauner (Reference 1.5). Let<br />

Thus, the set becomes<br />

where<br />

The fundamental matrix is now<br />

<strong>and</strong><br />

In this case, the substitution<br />

<strong>and</strong><br />

z =F-'La&<br />

gives the equation (q = r/a = 1 -e Cos E)<br />

15<br />

1.39<br />

1.40<br />

1.41<br />

1.42<br />

1.43

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