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This dissertation concerns the satirical Flat Earth Society (FES) founded at Fredericton, New Brunswick in November 1970. The essay’s successive chapters examine the lives and literary works of three understudied authors who held leadership positions in this critically unserious, fringe society: FES Symposiarch Alden Nowlan; the Society’s President Leo Ferrari; and its First Vice-President Gwendolyn MacEwen. Therefore, my project constitutes an act of recovery and reconstruction, bringing to light cultural work and literary connections that have largely faded from view. Chapters show how certain literary writings by Nowlan, Ferrari, or MacEwen directly or indirectly relate to their involvement with FES, making the Society an important part of their cultural work rather than a mere entertainment, distraction, or hoax. These authors represent the local/regional inception of FES (Nowlan), its international influences and reach (Ferrari), and its Canadian context (MacEwen). Organized according to three jointly literary and geo-political layers, and drawing on little-known archival documents, each chapter records statements from the Society’s wider membership as they relate to Atlantic Canada, the international perspective, and Canada. Despite its aberrant and oppositional spirit, FES appeared within an identifiable cultural context and participated in a countercultural tradition that continues to this day. The Society’s surface lampoon embeds potent social critique and creative meaning. In other words, FES was not merely playful, nor merely serious, but interweaved these modes in a compelling way; the Society looks by turns intelligent and unintelligible, stupid and sophisticated. Further, it invited contributions from members and applicants: seldom-seen interpretations of “Planoterrestrialism” by individuals from many walks of life and now housed in archives at the University of New Brunswick and University of Calgary. The participatory, humorous, and poetic nature of FES means that its unusual brand of Flat Earthism cannot be tied to any singular ideology, place, or literary tradition. It operates as an enigmatic, errant, itinerant, and underground non-ideology. Planoterrestrial thought is reflected in the playful poetic styles of Nowlan, Ferrari, and MacEwen: three Society members who were nonetheless serious authors and sincere in their role as cultural workers, their Flat Earth antics not excepted. / Graduate

A satellite launch vehicle not subjected to any perturbations, external or internal, could be guided along a trajectory by following a stored, pre-computed steering program. In practice, perturbations do occur, and in order to take account of them and to achieve an accurate injection, a closed loop guidance system is required. Guidance algorithm is developed by solving the optimal control problem. Closed form solution is difficult because the necessary conditions are in the form of Two Point Boundary Value Problems (TBVP) or Multi Point Boundary Value Problems (MPBVP). Development of non-iterative guidance algorithm is taken as a prime objective of this thesis to ensure reliable on-board implementation. If non-iterative algorithms are required, the usual practice is to approximate the system equations to derive closed form solutions. In the present work, approximations cannot be used because the algorithm has to cater to a wide variety of vehicles and missions. Present development adopts an alternate approach by splitting the reconfigurable algorithm development in to smaller sub-problems such that each sub-problem has closed form solution. The splitting is done in such a way that the solution of the sub-problems can be used as building blocks to construct the final solution. By adding or removing the building blocks, the algorithm can be configured to suit specific requirements. Chapter 1 discusses the motivation and objectives of the thesis and gives a literature survey. In chapter 2, Classical Flat Earth (CFE) guidance algorithm is discussed. The assumptions and the nature of solution are closely analyzed because CFE guidance is used as the baseline for further developments. New contribution in chapter 2 is the extension of CFE guidance for a generalized propulsion system in which liquid and solid engines are present. In chapter 3, CFE guidance is applied for a mission with large pitch steering angles. The result shows loss of optimality and performance. An algorithm based on regular perturbation is developed to compensate for the small angle approximation. The new contribution in chapter 3 is the development of Regular Perturbation based FE (RPFE) guidance as an extension of CFE guidance. RPFE guidance can be configured as CFE guidance and FEGP. Algorithms presented up to chapter 3 are developed to inject a satellite in to orbits with unspecified inertial orientation. Communication satellite missions demand injection in to an orbit with a specific inertial orientation defined by argument of perigee. This problem is formulated using Calculus of Variations in chapter 4. A non-iterative closed form solution (Predicted target Flat Earth or PFE guidance) is derived for this problem. In chapter 5, PFE guidance is extended to a multi-stage vehicle with a constraint on the impact point of spent lower stage. Since the problem is not analytically solvable, the original problem is split in to three sub-problems and solved. Chapter 6 has two parts. First part gives theoretical analysis of the sub-optimal strategies with special emphasis to guidance. Behavior of predicted terminal error and control commands in presence of plant approximations are theoretically analyzed for a class of optimal control problems and the results are presented as six theorems. Chapter 7 presents the conclusions and future works.

FLAT! immerses us into the life and mindset of a Flat-earther who eagerly evangelizes the discoveries he and other Flat-earthers claim to have made. With his car clad in flat-earth messages, he travels around the country provoking discussions with curious bystanders and debating scientists. While he thrives in this pursuit, it is not without its costs.