A fundamental problem of navigation in free space

Author:
George M. Ewing

Journal:
Quart. Appl. Math. **18** (1961), 355-362

MSC:
Primary 93.99

DOI:
https://doi.org/10.1090/qam/159727

MathSciNet review:
159727

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References | Similar Articles | Additional Information

**[1]**Gilbert A. Bliss,*Lectures on the Calculus of Variations*, University of Chicago Press, Chicago, Ill., 1946. MR**0017881****[2]**O. Bolza,*Vorlesungen über Variationsrechnung*, Teubner, Leipzig und Berlin, 1909**[3]**Lawrence M. Graves,*The Theory of Functions of Real Variables*, McGraw-Hill Book Company, Inc., New York, 1946. MR**0018708****[4]**D. F. Lawden,*Minimal rocket trajectories*, J. of American Rocket Soc.**23**, 360-367 (1953)**[5]**D. F. Lawden,*Dynamics of interplanetary flight*, Aeronaut. Quart.**6,**165-180 (1955)**[6]**D. F. Lawden,*Mathematical problems of astronautics*, Math. Gaz.**41**(1957), 168–179. MR**0097268**, https://doi.org/10.2307/3609186**[7]**A. Miele and C. R. Cavoti,*Generalized variational approach to the optimum thrust programming for the vertical flight of a rocket, part II*, Z. Flugwissenschaften**6**, 102-109 (1958)**[8]**A. Miele,*Flight mechanics and variational problems of a linear type*, J. Aero/Space Sci.**25**, 581-590 (1958)**[9]**A. Miele,*Mathematical theory of the optimum trajectories of a rocket*, Report A-58-10, AFOSR-TR-58-174, Purdue University, School of Aeronautical Engineering, Lafayette, Ind., Nov. 1958**[10]**F. A. Valentine,*The problem of Lagrange with differential inequalities as side conditions*. in*Contributions to the calculus of variations, 1933-37*, University of Chicago Press, 1937

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DOI:
https://doi.org/10.1090/qam/159727

Article copyright:
© Copyright 1961
American Mathematical Society