A deformation model of flexible, high area-to-mass ratio debris under perturbations and validation method

A new type of space debris was recently discovered by Schildknecht in near -geosynchronous orbit (GEO). These objects were later identified as exhibiting properties associated with High Area-to-Mass ratio (HAMR) objects. According to their brightness magnitudes (light curve), high rotation rates and composition properties (albedo, amount of specular and diffuse reflection, colour, etc), it is thought that these objects are multilayer insulation (MLI). Observations have shown that this debris type is very sensitive to environmental disturbances, particularly solar radiation pressure, due to the fact that their shapes are easily deformed leading to changes in the Area-to-Mass ratio (AMR) over time. This thesis proposes a simple effective flexible model of the thin, deformable membrane with two different methods. Firstly, this debris is modelled with Finite Element Analysis (FEA) by using Bernoulli-Euler theory called “Bernoulli model”. The Bernoulli model is constructed with beam elements consisting 2 nodes and each node has six degrees of freedom (DoF). The mass of membrane is distributed in beam elements. Secondly, the debris based on multibody dynamics theory call “Multibody model” is modelled as a series of lump masses, connected through flexible joints, representing the flexibility of the membrane itself. The mass of the membrane, albeit low, is taken into account with lump masses in the joints. The dynamic equations for the masses, including the constraints defined by the connecting rigid rod, are derived using fundamental Newtonian mechanics. The physical properties of both flexible models required by the models (membrane density, reflectivity, composition, etc.), are assumed to be those of multilayer insulation. Both flexible membrane models are then propagated together with classical orbital and attitude equations of motion near GEO region to predict the orbital evolution under the perturbations of solar radiation pressure, Earth’s gravity field, luni-solar gravitational fields and self-shadowing effect. These results are then compared to two rigid body models (cannonball and flat rigid plate). In this investigation, when comparing with a rigid model, the evolutions of orbital elements of the flexible models indicate the difference of inclination and secular eccentricity evolutions, rapid irregular attitude motion and unstable cross-section area due to a deformation over time. Then, the Monte Carlo simulations by varying initial attitude dynamics and deformed angle are investigated and compared with rigid models over 100 days. As the results of the simulations, the different initial conditions provide unique orbital motions, which is significantly different in term of orbital motions of both rigid models. Furthermore, this thesis presents a methodology to determine the material dynamic properties of thin membranes and validates the deformation of the multibody model with real MLI materials. Experiments are performed in a high vacuum chamber (10-4 mbar) replicating space environment. A thin membrane is hinged at one end but free at the other. The free motion experiment, the first experiment, is a free vibration test to determine the damping coefficient and natural frequency of the thin membrane. In this test, the membrane is allowed to fall freely in the chamber with the motion tracked and captured through high velocity video frames. A Kalman filter technique is implemented in the tracking algorithm to reduce noise and increase the tracking accuracy of the oscillating motion. The forced motion experiment, the last test, is performed to determine the deformation characteristics of the object. A high power spotlight (500-2000W) is used to illuminate the MLI and the displacements are measured by means of a high resolution laser sensor. Finite Element Analysis (FEA) and multibody dynamics of the experimental setups are used for the validation of the flexible model by comparing with the experimental results of displacements and natural frequencies.

Jung and Goddess: the significance of Jungian and post-Jungian theory to the development of the Western Goddess Movement

This study is concerned with the significance of Jungian and post-Jungian theory to the development of the contemporary Western Goddess Movement, which includes the various self-identified nature-based, Pagan, Goddess Feminism, Goddess Consciousness, Goddess Spirituality, Wicca, and Goddess-centred faith traditions that have seen a combined increase in Western adherents over the past five decades and share a common goal to claim Goddess as an active part of Western consciousness and faith traditions. The Western Goddess Movement has been strongly influenced by Jung’s thought, and by feminist revisions of Jungian Theory, sometimes interpreted idiosyncratically, but presented as a route to personal and spiritual transformation. The analysis examines ways in which women encounter Goddess through a process of Jungian Individuation and traces the development of Jungian and post-Jungian theories by identifying the key thinkers and central ideas that helped to shape the development of the Western Goddess Movement. It does so through a close reading and analysis of five biographical ‘rebirth’ memoirs published between 1981 and 1998: Christine Downing’s (1981) The Goddess: Mythological Images of the Feminine; Jean Shinoda Bolen’s (1994) Crossing to Avalon: A Woman’s Midlife Pilgrimage; Sue Monk Kidd’s (1996) The Dance of the Dissident Daughter: A Woman’s Journey from Christian Tradition to the Sacred Feminine; Margaret Starbird’s (1998) The Goddess in the Gospels: Reclaiming the Sacred Feminine; and Phyllis Curott’s (1998) Book of Shadows: A Modern Woman’s Journey into the Wisdom of Witchcraft and the Magic of the Goddess. These five memoirs reflect the diversity of the faith traditions in the Western Goddess Movement. The enquiry centres upon two parallel and complementary research threads: 1) critically examining the content of the memoirs in order to determine their contribution to the development of the Goddess Movement and 2) charting and sourcing the development of the major Jungian and post-Jungian theories championed in the memoirs in order to evaluate the significance of Jungian and post-Jungian thought in the Movement. The aim of this study was to gain a better understanding of the original research question: what is the significance of Jungian and post-Jungian theory for the development of the Western Goddess Movement? Each memoir is subjected to critical review of its intended audiences, its achievements, its functions and strengths, and its theoretical frameworks. Research results offered more than the experiences of five Western women, it also provided evidence to analyse the significance of Jungian and post-Jungian theory to the development of the Western Goddess Movement. The findings demonstrate the vital contributions of the analytical psychology of Carl Jung, and post-Jungians M Esther Harding, Erich Neumann, Christine Downing, E.C. Whitmont, and Jean Shinoda Bolen; the additional contributions of Sue Monk Kidd, Margaret Starbird, and Phyllis Curott, and exhibit Jungian and post-Jungian pathways to Goddess. Through a variety of approaches to Jungian categories, these memoirs constitute a literature of Individuation for the Western Goddess Movement.

The use of Acceptance and Commitment Therapy to address psychological distress experienced by caregivers: a randomised controlled feasibility trial

Background: An extensive research literature has documented the impact of caring for an individual with acquired brain injury (ABI) on caregivers and family members, including role adjustment, psychological distress, social isolation, family tension and coping with the cognitive and behavioural difficulties of the injured person. Given these findings it is important this population have access to services and supports. Acceptance and Commitment Therapy (ACT) is an intervention that helps individuals to accept difficult experiences and commit to behaviour that is consistent with their values. Research into the effectiveness of ACT to support caregivers is at a preliminary stage. Aim: To investigate the feasibility of using ACT to reduce psychological distress and increase psychological flexibility in ABI caregivers. A secondary aim was to gain an understanding of the experience of caregivers in this context and how this can inform the development and delivery of interventions for this population. Method: Phase one was a randomised controlled feasibility trial of an ACT intervention for use with ABI caregivers. The parameters of this study were formulated around the PICO (population, intervention, control, and outcome) framework. Eighteen carers were recruited and randomised to ACT or an enhanced treatment as usual (ETAU) group. ACT was implemented over 3 sessions; and ETAU was implemented over 2 sessions. The General Health Questionnaire, Valuing Questionnaire, Acceptance and Action Questionnaire, Experiential Avoidance of Caregiving Questionnaire and the Flexibility of Responses to Self-Critical Thoughts Scale were administered to both groups at baseline and following the final session. Phase two used a retrospective qualitative design that involved conducting semi-structured interviews with four participants from phase one. Results: ACT and control participants were successfully recruited. Positive feedback was obtained from ACT participants suggesting that the intervention was acceptable. There were no significant differences between the ACT and ETAU groups on outcome measures. However, there were challenges retaining participants and the overall attrition rate was high (44.44%). Therefore a number of participants did not complete the full complement of sessions, which may have impacted on this result. Qualitative results illustrated the challenges this population face including significant adjustments in their life, the emotional impact of having a loved one with a brain injury and trying to adapt to the changes in the injured person. In addition, findings elucidated the types of support that this population would find helpful and the barriers to accessing same. Conclusions: Findings from this study highlight factors that will help the development of this intervention further for a caring population. Recommendations for future implementation include completing some preparatory work with carers before beginning the intervention, consideration of a larger sample and wider recruitment strategy from local services, barriers to attending interventions and the possibility of holding groups in local venues.