Classical Mechanics, 3rd ed.

By H. Goldstein, C. Poole, J. Safko, S. R. Addison. 2002

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Hamiltonian theory of guiding-center motion (2009, methodology): “This and other properties of canonical transformations are discussed in standard textbooks on classical mechanics Goldstein et al., 2002 .”
A Simplified Quaternion-Based Algorithm for Orientation Estimation From Earth Gravity and Magnetic Field Measurements (2008, neutral): “Because an arbitrary rotation may be described by three independent parameters, the four Euler parameters are constrained to satisfy the relation [ 17 ]”
Foundations of Nonlinear Gyrokinetic Theory (2007, methodology): “…2007 0 = Za b Za dZb + ad Za − Za H Za d = Za abdZb − H Zad , 85 where ab b Za − a Zb 86 denotes a component of the 8 8 antisymmetric Lagrange two-form d Goldstein et al., 2002 , and integration by parts of the second term was performed with the usual assumption of virtual displacements Za…”
Orbital parameters of merging dark matter halos (2003, neutral): “Knowing the average velocity and mass inside the virial radii of the merging halos it is possible to solve the gravitational two body problem analytically by making the transition to the equivalent one-body problem of the reduced mass system (e.g. Goldstein et al. 2002).”