Charged particle motion in axisymmetric toroidal magnetic fields is analysed within the context of canonical Hamiltonian guiding centre theory. A transformation to variables measuring drift orbit deviation from a field line introduced and an analytical action-angle obtained, under zero width approximation. The latter used provide compact formulas for orbital spectrum motion, namely bounce/trans...

Formation  ying is a key technology for both deep-space and orbital applications that involve multiple spacecraft. Many future space applications will beneŽ t from using formation  ying technologies to perform distributed observations (e.g., synthetic apertures for Earth mapping interferometry) and to provide improved coverage for communication and surveillance. Previous research has focused ...

Orbit determination and control problems are sometimes solved using linearized methods, even though nonlinear effects can sometimes dominate the system. This paper addresses ways to parallelize computational algorithms for numerical integrators and nonlinear relative motion equations. An application of the proposed methods to mutual gravitation of a fragmented asteroid is presented, with analys...

We experimentally demonstrate optomechanical motion and force measurements near the quantum precision limits set by the quantum Cramér-Rao bounds. Optical beams in coherent and phase-squeezed states are used to measure the motion of a mirror under an external stochastic force. Utilizing optical phase tracking and quantum smoothing techniques, we achieve position, momentum, and force estimation ...

We present a formalism and an implementation for calculating spin-orbit couplings (SOCs) within the EOM-CCSD (equation-of-motion coupled-cluster with single and double substitutions) approach. The following variants of EOM-CCSD are considered: EOM-CCSD for excitation energies (EOM-EE-CCSD), EOM-CCSD with spin-flip (EOM-SF-CCSD), EOM-CCSD for ionization potentials (EOM-IP-CCSD) and electron atta...