Title page for ETD etd-06222010-020301
|Type of Document
||Halter, Ronald Vaughn
||A universal time of flight equation for space mechanics
||Master of Science
|Lutze, Frederick H. Jr.
|Cliff, Eugene M.
|Stalford, Harold L.
|Date of Defense
A universal time of flight equation for any orbit is developed as a
function of the initial and final radius, the change in true anomaly
and the initial flight path angle. Lambert's theorem, a new corollary
to this theorem, a trigonometric variable substitution and a continuing
fraction expression are used in this development. The resulting
equation is not explicitly dependent upon eccentricity and is
determinate for -2n < (change in true anomaly) < 2n. A method to
make the continuing fraction converge rapidly is evaluated using a top
down algorithm. Finally, the accuracy of the universal time of flight
equation is examined for a representative set of orbits including near
parabolic and near rectilinear orbits.
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