Despite the wide acceptance that errors incurred in numerical solutions to N-body systems grow exponentially, most research assumes that the statistical results of these systems are reliable. However, if one is to accept that the statistical results of N-body solutions are reliable, it is important to determine if there are any systematic statistical errors resulting from the incurred growth of errors in individual solutions. In this thesis we consider numerical solutions to the 3-body problem in which one of the bodies escapes the system. It is shown for a particular 3-body con guration, known as the Sitnikov problem, that the mean lifetime of the system is dependent on the accuracy of the numerical integration. To provide a theoretical explanation of the phenomenon, an approximate Poincar´e map is developed whose dynamics on a particular surface of section is shown to be similar to the dynamics of the Sitnikov Problem. In fact there is a set on which the approximate Poincar´e map is topologically equivalent, like the Sitnikov Problem, to the shift map on the set of bi-in nite sequences. The structure of the escape regions on the surface of section form a cantor set-like structure whose boundary can more easily be delineated using the approximate Poincar´e map than for the Sitnikov problem. Further it is shown that numerical errors destroy escape regions and can cause orbits to migrate to a region in which escape is faster. Finally, a relationship between the Lyapunov time, tl, and the lifetime, td, of the 3-body problem is discussed. Firstly, the Sitnikov problem and the approximate Poincar´e map of the Sitnikov problem both exhibit a two-part power law relationship beween tl and td like that for a particular case of the general 3-body problem. Further, it is demonstrated that large perturbations to the energy of the escaping body in uences the relationship between tl and td for small tl. Finally, it is shown that the approximate Poincar´e map yields a theoretical explanation of the phenomenon based on the structure of the escape regions the orbits traverse before escape.

This is an ethnographic study of a television show titled Esra Erol’da Evlen Benimle (Marry Me on the Esra Erol Show), the most popular of the televised matchmaking formats in Turkey since it premiered in 2007. The marriage show is part of the daytime flow of television broadcasting in Turkey that, as an entertainment format, sets the everyday rhythms of life and provides content for debates/judgements on – as well as being an increasingly popular route to – marriage. I explore the marriage show as a reality show format, which is an outcome of the global flow of media images, narratives and genres. As such, it is a television show that translates the neoliberal imaginary of the self as an aspect of subjectivity in search of survival, security and happiness, into the Turkish context. What distinguishes the marriage show from other reality show formats is that it orients the self towards the desire and expectation to get married as a means of survival. To explore marriage as an orientation of the self through television, I contextualise the show within the contemporary practices, policies and debates of the family in Turkey. By deploying the concept of frame, I investigate how the format is produced by normatively framing the narratives of the participants as marriageable subjects, while also registering the show as a quality program which is seriously dedicated to marrying people within the norms and conventions of marriage in Turkey. Taking the production space of the marriage show as the field of research, and female subjectivity as the particular focus, this study is an endeavour to show how practices, tensions and sensibilities pertaining to marriage and family in Turkey produce female subjects, bodies, self-narratives and movements across the intense present of television production.

published_or_final_version / Chemistry / Master / Master of Science

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