Jacobian Variational Principles and the Equivalence of Second Order Systems.

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Abstract:

Two systems of differential equations are said to be equivalent if the trajectories of one coincide with the trajectories of the other modulo a transformation of indepent time variable. The equivalence of second order systems is discussed, and the results obtained are used a derive a variational principle for the plane restricted three-body problem. Author

Author(s):
Gordon, William R.
Author Organization(s):
NAVAL RESEARCH LAB WASHINGTON D C
Descriptive Note:
Final rept.,
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NRL-7397
Project Number(s):
NRL-B01-11, RR003-02-41-6153
 Subject Terms
Communities of Interest:
Air Platforms
Descriptor(s):
*CALCULUS OF VARIATIONS, N BODY PROBLEM, DIFFERENTIAL EQUATIONS, HAMILTONIAN FUNCTIONS, OPERATORS(MATHEMATICS)
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
THREE BODY PROBLEM
Report Date:
1972 Apr 05