Circling encounters between aircraft modeled in energy approximation are studied in a differential game setting. Capture is defined in terms of turn-angle and a derived altitude-match require ment. Target sets and their capture subsets are defined and the computation of boundaries discussed and illustrated. A sufficient condition guaranteeing capture of an optimally-evading oppo nent in a turning chase is obtained which involves energy-rate/turn-rate hodograph figure'* comparison.
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Henry J. Kelley (1975) studied this question.