Intrinsic variational equations in three dimensions
Copyright policy )Intrinsic variational equations in three dimensions
The variational equations along an orbit in a conservative dynamic system with three degrees of freedom may be separated into (i) a linear system of order four involving only the normal and binormal displacements and (ii) a quadrature to produce the tangential displacement.
- National Institute of Standards and Technology United States
Three-body problems, separability, normal and binormal displacement, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, variations from planar orbit, Hamilton's principle, Frenet orthonormal vector basis, Celestial mechanics, integral of variational energy as first-order term in Taylor series, quadrature, Holonomic systems related to the dynamics of a system of particles, conservative dynamical system, three degrees of freedom, Variational principles of physics, Lagrange's equations
Three-body problems, separability, normal and binormal displacement, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, variations from planar orbit, Hamilton's principle, Frenet orthonormal vector basis, Celestial mechanics, integral of variational energy as first-order term in Taylor series, quadrature, Holonomic systems related to the dynamics of a system of particles, conservative dynamical system, three degrees of freedom, Variational principles of physics, Lagrange's equations
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