Nonlinear dynamics of a satellite with deployable solar panel arrays

The multibody dynamics of a satellite in circular orbit, modeled as a central body with two hinge-connected deployable solar panel arrays, is investigated. Typically, the solar panel arrays are deployed in orbit using preloaded torsional springs at the hinges in a near symmetrical accordion manner, to minimize the shock loads at the hinges. There are five degrees of freedom of the interconnected rigid bodies, composed of coupled attitude motions (pitch, yaw and roll) of the central body plus relative rotations of the solar panel arrays. The dynamical equations of motion of the satellite system are derived using Kane's equations. These are then used to investigate the dynamic behavior of the system during solar panel deployment via the 7-8th-order Runge-Kutta integration algorithms and results are compared with approximate analytical solutions. Chaotic attitude motions of the completely deployed satellite in circular orbit under the influence of the gravity-gradient torques are subsequently investigated analytically using Melnikov's method and confirmed via numerical integration. The Hamiltonian equations in terms of Deprit's variables are used to facilitate the analysis. (C) 2003 Published by Elsevier Ltd.

The origin of the difference in the superconducting critical temperatures of the beta(H) and beta(L) phases of (BEDT-TTF)(2)I-3

Incommensurate lattice fluctuations are present in the beta(L) phase (T-c similar to 1.5 K) of ET2I3 (where ET is BEDT-TTF - bis(ethylenedithio)tetrathiafulvalene) but are absent in the beta(H) phase (T-c similar to 7 K). We propose that the disorder in the conformational degrees of freedom of the terminal ethylene groups of the ET molecules, which is required to stabilise the lattice fluctuations, increases the quasiparticle scattering rate and that this leads to the observed difference in the Superconducting critical temperatures, T-c, of the two phases. We calculate the dependence of T-c on the interlayer residual resistivity. Our theory has no free parameters. Our predictions are shown to be consistent with experiment. We describe experiments to conclusively test our hypothesis.

Predestination and freedom in Milton's 'Paradise lost'

John Milton's epic poem Paradise Lost (1667) offers a highly creative seventeenth-century reconstruction of the doctrine of predestination, a reconstruction which both anticipates modern theological developments and sheds important light on the history of predestinarian thought. Moving beyond the framework of post-Reformation controversies, the poem emphasises both the freedom and the universality of electing grace, and the eternally decisive role of human freedom in salvation. The poem erases the distinction between an eternal election of some human beings and an eternal rejection of others, portraying reprobation instead as the temporal self-condemnation of those who wilfully reject their own election and so exclude themselves from salvation. While election is grounded in the gracious will of God, reprobation is thus grounded in the fluid sphere of human decision. Highlighting this sphere of human decision, the poem depicts the freedom of human beings to actualise the future as itself the object of divine predestination. While presenting its own unique vision of predestination, Paradise Lost thus moves towards the influential and distinctively modern formulations of later thinkers like Schleiermacher and Barth.

The Constitutional (In)Validity of Religious Vilification Laws: Implications for Their Interpretation

A study is conducted to determine whether religious vilification laws are contrary to the implied freedom of political communication affirmed in the High Court's decision in Lange v Australian Broadcasting Corporation. He feels that to the extent that religious vilification laws are interpreted with principles, they are likely to leave sufficient place for freedom of religious discussion that happens to be relevantly political, at the same time the implied freedom of political means that the prohibitions imposed by religious vilification laws need to be interpreted narrowly and the exceptions construed widely, in order to leave room for political communication.

Brand loyalties: rethinking content within global corporate media

Translating content from one media platform to another, a process here dubbed content streaming, is the leitmotif of contemporary globalized media. Yet widely divergent interpretations of the phenomenon have emerged. Academic political economy interprets content streaming as powerfully inimical to cultural diversity, media competition and freedom of speech. Mainstream business reporting, working from an opposing media economics schema, pillories ‘synergy’-based content strategies as oversold in theory and unworkable in practice. Challenging this established trend for the disciplines to develop in parallel, the article harnesses mainstream critique of content streaming to political economy’s traditionally circumspect view of corporate media. Examining first the commercial rationales for pursuing content streaming, before turning to the financial and managerial constraints on realizing these goals, the article positions content streaming as less all-pervasive than political economists have feared, but more commercially entrenched than the financial press currently allows.

Spin-detection in a quantum electromechanical shuttle system

We study the electrical transport of a harmonically bound, single-molecule C-60 shuttle operating in the Coulomb blockade regime, i.e. single electron shuttling. In particular, we examine the dependance of the tunnel current on an ultra-small stationary force exerted on the shuttle. As an example, we consider the force exerted on an endohedral N@C-60 by the magnetic field gradient generated by a nearby nanomagnet. We derive a Hamiltonian for the full shuttle system which includes the metallic contacts, the spatially dependent tunnel couplings to the shuttle, the electronic and motional degrees of freedom of the shuttle itself and a coupling of the shuttle's motion to a phonon bath. We analyse the resulting quantum master equation and find that, due to the exponential dependence of the tunnel probability on the shuttle-contact separation, the current is highly sensitive to very small forces. In particular, we predict that the spin state of the endohedral electrons of N@C-60 in a large magnetic gradient field can be distinguished from the resulting current signals within a few tens of nanoseconds. This effect could prove useful for the detection of the endohedral spin-state of individual paramagnetic molecules such as N@C-60 and P@C-60, or the detection of very small static forces acting on a C-60 shuttle.