Energy state revisitedKaiser (1944) has introduced the concept of 'resultant height' in connection with aircraft minimum-time climbs. Its use as a state variable in trajectory work is attractive because it is a 'slower' variable than either altitude or velocity. Kelley (1972, 1973) has made an attempt to synthesize 'slow' state variables in connection with singular-perturbation procedures. In the present investigation, attempts are made to synthesize both 'fast' and 'slow' variables for the minimum-time-to-climb problem along lines explored by Kelley. Attention is given to climb equations, energy-modeling simplifications, 'slow'-variable choice, 'fast'-variable-choice considerations, a singular-perturbation analysis, the choice of a 'fast' variable, and the climb-dash problem.
Document ID
19830060742
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Kelley, H. J. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Cliff, E. M. (Virginia Polytechnic Inst. and State Univ. Blacksburg, VA, United States)
Weston, A. R. (Virginia Polytechnic Institute and State University Blacksburg, VA, United States)