Geometric Constraints of the Disorbit Problem,
COLORADO UNIV BOULDER DEPT OF AEROSPACE ENGINEERING SCIENCES
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The report sets forth the advantages of approaching orbital change problems using the configuration space introduced by Adolf Busemann in the 1965 Prandtl Lecture in Vienna, combined with the geometrical properties inherent to Keplerian orbits. The visualization thus made possible, along with the fact that in this configuration space orbital problems remain problems of conics, provides the investigator with an advantageous head start. Many results which require tedious calculation if attacked in more common ways are immediately evident. Other relations, though still requiring much numerical work, are rendered more transparent and accessible using this approach. The problem used in this report to illustrate this technique is the general problem of descent from an elliptical orbit. Motion is restricted to planar. The disorbit maneuver is subjected to various constraints and the resulting geometrical constraints are discussed.
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