Resonant and Secular Orbital Interations

In stable solar systems, planets remain in nearly elliptical orbits around their stars. Over longer timescales, however, their orbital shapes and sizes change due to mutual gravitational perturbations. Orbits of satellites around a planet vary for the same reason. Because of their interactions, the orbits of planets and satellites today are different from what they were earlier. In order to determine their original orbits, which are critical constraints on formation theories, it is crucial to understand how orbits evolve over the age of the Solar System. Depending on their timescale, we classify orbital interactions as either short-term (orbital resonances) or long-term (secular evolution). My work involves examples of both interaction types. Resonant history of the small Neptunian satellites In satellite systems, tidal migration brings satellite orbits in and out of resonances. During a resonance passage, satellite orbits change dramatically in a very short period of time. We investigate the resonant history of the six small Neptunian moons. In this unique system, the exotic orbit of the large captured Triton (with a circular, retrograde, and highly tilted orbit) influences the resonances among the small satellites very strongly. We derive an analytical framework which can be applied to Neptune's satellites and to similar systems. Our numerical simulations explain the current orbital tilts of the small satellites as well as constrain key physical parameters of both Neptune and its moons. Secular orbital interactions during eccentricity damping Long-term periodic changes of orbital shape and orientation occur when two or more planets orbit the same star. The variations of orbital elements are superpositions of the same number of fundamental modes as the number of planets in the system. We investigate how this effect interacts with other perturbations imposed by external disturbances, such as the tides and relativistic effects. Through analytical studies of a system consisting of two planets, we find that an external perturbation exerted on one planet affects the other indirectly. We formulate a general theory for how both orbits evolve in response to an arbitrary externally-imposed slow change in eccentricity.

[Conference report] Magic and mathematics: The life and work of John Dee. National Maritime Museum, Greenwich, 13-14 June 2003

Tony Mann provides a report of a two-day meeting "Magic and mathematics: The life and work of John Dee" held from 13-14 June 2003 at the National Maritime Museum, Greenwich.

Secular Trends in Substance Use: The Conflict and Young People in Northern Ireland

The resolution of political conflict has led some to suggest that Northern Ireland will now face a range of social problems that have been ignored or suppressed by the Troubles. One such area is adolescent drug use. In this article, a review of a range of data sources shows that drug use, with few exceptions, has increased since the emergence of the ongoing peace process. Social and political changes and enhanced paramilitary involvement in the drugs trade appear to have somehow created an environment where drug use has flourished. In reviewing current drug policy and practice, the article highlights the lack of prevention, treatment, and harm reduction services established in Northern Ireland as a cause for concern.

The Secular Beyond: Free Religious Dissent and Debates over the Afterlife in Nineteenth-Century Germany

Toward the end of the first third of the nineteenth century, German writers began to favor a new metaphor for the afterlife: “das Jenseits” (“the Beyond”). At first glance, the emergence of such a term may appear to have little bearing on our understanding of the history of religious thought. However, as the late historian Reinhart Koselleck maintained, the study of semantic changes can betray tectonic shifts in the matrix of ideas that underpin the worlds of politics, learning, and religion. Drawing on Koselleck's method of conceptual history, the following essay takes the popularization of “the Beyond” as a point of departure for investigating secularization and secularism as two linked, yet distinct, sources of pressure on the fault lines of nineteenth-century German religious thought.

Finding the magic number

Paul Wilson and Colin Cooper investigate methods used to extract the number of factors in a factor analysis

Secular trends, disease maps and ecological analyses of the incidence of childhood onset type 1 diabetes in Northern Ireland, 1989-2003

Aims To investigate secular trends in the incidence of Type 1 diabetes in Northern Ireland over the period 1989-2003. To highlight geographical variations in the incidence of Type 1 diabetes by producing disease maps and to compare incidence rates by relevant area characteristics.