We present a systematic derivation of the extended Jefferys’ orbit for rigid ellipsoidal and V-shaped polymer molecules in linear incompressible viscous flows using a Lagrange multiplier’s method based on a constraining force argument [5]. It reproduces the well-known Jefferys’ orbit for rotating ellipsoids [12]. The method is simple and applicable to any rigid body immersed in a linear flow fi...

We analyze effects of the hyperfine interaction on electric dipole spin resonance when the amplitude of the quantum-dot motion becomes comparable or larger than the quantum dot's size. Away from the well-known small-drive regime, the important role played by transverse nuclear fluctuations leads to a Gaussian decay with characteristic dependence on drive strength and detuning. A characterizatio...

In this paper, we use a Hamiltonian approach to derive the equations of motion for an object relative to a circular or slightly elliptical reference orbit. By solving the Hamilton-Jacobi equation we develop constants of the relative motion called epicyclic elements. A perturbation Hamiltonian is formulated in order to derive variational equations for the “constants” via Hamilton’s equations. We...

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the postNewtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton’s variational principle that rigorously extends the usual Lagrangian and Hamiltonian formalisms to dissipative systems, including the inspiral of a compact binary from the emission of gravitat...

An algebraic realization of the quantum rotor for non-zero spin values (integer as well as half-integer) is established by constructing a model Hamiltonian out of rotationally invariant functions of the generators of SU(3). The eigenvalues of this Hamiltonian in the leading normal-SU(3) symmetry for 25Mg and the so-called leading pseudo-SU(3) symmetries for 159Dy and 165Er are compared with the...

The approach and methods introduced by McGill & Binney and Kaasalainen & Binney (Papers I and III), for the construction of phase-space tori that are approximate invariant tori of a given Hamiltonian, are generalized to include motion`trapped' around general closed orbits. This is accomplished by introducing point transformations that map the connguration space around a closed orbit in the targ...

We report the discovery of the first trans-neptunian object, designated 2004 XR190, with a nearly-cirular orbit beyond the 2:1 mean-motion resonance. Fitting an orbit to 23 astrometric observations spread out over 12 months yields an orbit of a = 57.2 ± 0.4, e = 0.08 ± 0.04, and i = 46.6 •. All viable orbits have perihelia distances q > 49 AU. The very high orbital inclination of this extended ...