On the solution of the Chini—Painlevé equation with application to the theory of planar tumbling of vehicles and meteorites in atmospheric entryFootnote†
†Communicated by the Author. This work presented here was supported in part by the National Science Foundation under Grant No. GK-5050.

DAHSOONG YÜ Departments of Information and Computing Sciences and of Aerospace, Mechanical and Nuclear Engineering, University of Oklahoma, Norman, Oklahoma, 73069

Abstract

A class of nonlinear ordinary differential equations describing the oscillatory behaviour of vehicles and meteorites entering planetary atmospheres is named as ‘Chini—Painlevé's equation’ in this paper. A series solution which may be termed as ‘Painlevé's fifth transcendental series’ is given and the stability of solutions is also determined.

Notes

†Communicated by the Author. This work presented here was supported in part by the National Science Foundation under Grant No. GK-5050.

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On the solution of the Chini—Painlevé equation with application to the theory of planar tumbling of vehicles and meteorites in atmospheric entryFootnote†
†Communicated by the Author. This work presented here was supported in part by the National Science Foundation under Grant No. GK-5050.

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On the solution of the Chini—Painlevé equation with application to the theory of planar tumbling of vehicles and meteorites in atmospheric entryFootnote††Communicated by the Author. This work presented here was supported in part by the National Science Foundation under Grant No. GK-5050.

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On the solution of the Chini—Painlevé equation with application to the theory of planar tumbling of vehicles and meteorites in atmospheric entryFootnote†
†Communicated by the Author. This work presented here was supported in part by the National Science Foundation under Grant No. GK-5050.