The problem of the charged-particle motion in an axisymmetric magnetic-dipole geometry is used to assess validity Hamiltonian guiding-center theory, which includes higher-order corrections associated with polarization induced by magnetic-field nonuniformity. When a magnetically confined orbit regular (i.e., its magnetic moment adiabatically invariant), approximation, conserves both energy and a...

The dynamic behavior of a bunched one-dimensional crystalline beam is studied theoretically. It is shown that, owing to the existence of momentum dispersion, a Coulomb chain traveling in a storage ring performs a complex periodic oscillation whenever it is exposed to a longitudinal radio-frequency force. The equations of motion are derived to predict the oscillation pattern in an arbitrary latt...

Small satellites tend to be power-limited, so that actuators used to control the orbit and attitude must compete with each other as well as with other subsystems for limited electrical power. The Virginia Tech nanosatellite project, HokieSat, must use its limited power resources to operate pulsed-plasma thrusters for orbit control and magnetic torque coils for attitude control, while also provi...

We consider a few topics in E11 approach to superstring/M-theory: even subgroups (Z2 orbifolds) of En, n=11,10,9 and their connection to Kac-Moody algebras; EE11 subgroup of E11 and coincidence of one of its weights with the l1 weight of E11, known to contain brane charges; possible form of supersymmetry relation in E11; decomposition of l1 w.r.t. the SO(10, 10) and its square root at first few...

Abstract. The Sweeping Langmuir Probe (SLP) is one of the instruments on board triple-unit CubeSat PICASSO, an ESA in-orbit demonstrator launched in September 2020, which flying at about 540 km altitude. SLP comprises four small cylindrical probes mounted tip solar panels. It aims to perform situ measurements plasma parameters (electron density and temperature together with ion density) spacecr...

In this project we will be looking at the change in control required to transfer a satellite between two elliptic Keplerian orbits. We will first derive the equations of motion for our satellite and then study the controllability properties of our system. We will introduce a simple feedback controller and prove local asymptotic stability of the target orbit. The goal of this paper is to prove s...

We review the formulation of the problem of electromagnetic self-interaction of a relativistic charged particle in the framework of the manifestly covariant classical mechanics of Stueckeleberg, Horwitz, and Piron. The gauge fields of this theory, in general, cause the mass of the particle to change. We study the four dynamical off-mass-shell orbit equations which result from the expansion of G...

Instytut Fizyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30-059 Kraków, Poland (Received 24 June 1994) We present an h̄ ! 0 approximation for the quasienergy spectrum of a periodically kicked top, valid under conditions of both regular and chaotic classical motion. In contrast to conventional periodic-orbit theory we implement the semiclassical limit for each matrix element of the Floquet o...