Intrinsic variational equations for conservative dynamical systems with N degrees of freedom

Details Intrinsic variational equations for conservative dynamical systems with N degrees of freedom Intrinsic variational equations for conservative dynamical systems with N degrees of freedom

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982cemec..27..151p&link_type=abstract

Celestial Mechanics, vol. 27, June 1982, p. 151-156. NSF-supported research.

Computer Science

Numerical Analysis

2

Astrodynamics, Degrees Of Freedom, Hill Method, Orbit Calculation, Variational Principles, Coordinates, Differential Equations, Kinetic Energy, Numerical Analysis, Reference Systems

Scientific paper

For a conservative dynamical system with n deg of freedom we show that the equations of variation along an orbit may be written with respect to an orthonormal moving frame (a generalized Frenet frame) in which the tangential variation is given by a quadrature and the normal and n - 2 binormal variations are solutions of n - 1 coupled second order equations of the form of Hill's equation.

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