Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Precessional advances of a Lock-Fowler missile

Authors: P. C. Rath and J. Pal
Journal: Quart. Appl. Math. 39 (1981), 375-381
MSC: Primary 70M99
DOI: https://doi.org/10.1090/qam/636242
MathSciNet review: 636242
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Abstract: It is proved that for apses-to-apses motions which are purely direct (retrograde), a Lock-Fowler missile satisfies the Halphen inequality. The result is independent of all launching conditions.

References [Enhancements On Off] (What's this?)

  • [1] P. C. Rath and A. V. Namboodiri, On the apsidal limits of a rolling missile, Quart. Appl. Math. 36, 1-17 (1978)
  • [2] W. Kohn, Contour integration in the theory of spherical pendulum and the heavy symmetrical top, Trans. Amer. Math. Soc. 59, 107-131 (1946) MR 0015940
  • [3] P. C. Rath and A. V. Namboodiri, Librations of a Lock-Fowler missile, Memorial de l'Artillerie Française, Paris 54, 2$ ^{e}$ fasc., 313-351 (1980)

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DOI: https://doi.org/10.1090/qam/636242
Article copyright: © Copyright 1981 American Mathematical Society

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