A study of the time complexity of an Elitist Genetic Algorithm used for associating optical observations of MEO and GEO Space Debris

Currently several thousands of objects are being tracked in the MEO and GEO regions through optical means. The problem faced in this framework is that of Multiple Target Tracking (MTT). In this context both the correct associations among the observations, and the orbits of the objects have to be determined. The complexity of the MTT problem is defined by its dimension S. Where S stands for the number of ’fences’ used in the problem, each fence consists of a set of observations that all originate from dierent targets. For a dimension of S ˃ the MTT problem becomes NP-hard. As of now no algorithm exists that can solve an NP-hard problem in an optimal manner within a reasonable (polynomial) computation time. However, there are algorithms that can approximate the solution with a realistic computational e ort. To this end an Elitist Genetic Algorithm is implemented to approximately solve the S ˃ MTT problem in an e cient manner. Its complexity is studied and it is found that an approximate solution can be obtained in a polynomial time. With the advent of improved sensors and a heightened interest in the problem of space debris, it is expected that the number of tracked objects will grow by an order of magnitude in the near future. This research aims to provide a method that can treat the correlation and orbit determination problems simultaneously, and is able to e ciently process large data sets with minimal manual intervention.

Photometric monitoring of non-resolved space debris and databases of optical light curves.

The population of space debris increased drastically during the last years. Collisions involving massive objects may produce large number of fragments leading to significantly growth of the space debris population. An effective remediation measure in order to stabilize the population in LEO, is therefore the removal of large, massive space debris. To remove these objects, not only precise orbits, but also more detailed information about their attitude states will be required. One important property of an object targeted for removal is its spin period and spin axis orientation. If we observe a rotating object, the observer sees different surface areas of the object which leads to changes in the measured intensity. Rotating objects will produce periodic brightness vari ations with frequencies which are related to the spin periods. Photometric monitoring is the real tool for remote diagnostics of the satellite rotation around its center of mass. This information is also useful, for example, in case of contingency. Moreover, it is also important to take into account the orientation of non-spherical body (e.g. space debris) in the numerical integration of its motion when a close approach with the another spacecr aft is predicted. We introduce the two databases of light curves: the AIUB data base, which contains about a thousand light curves of LEO, MEO and high-altitude debris objects (including a few functional objects) obtained over more than seven years, and the data base of the Astronomical Observatory of Odessa University (Ukraine), which contains the results of more than 10 years of photometric monitoring of functioning satellites and large space debris objects in low Earth orbit. AIUB used its 1m ZIMLAT telescope for all light curves. For tracking low-orbit satellites, the Astronomical Observatory of Odessa used the KT-50 telescope, which has an alt-azimuth mount and allows tracking objects moving at a high angular velocity. The diameter of the KT-50 main mirror is 0.5 m, and the focal length is 3 m. The Odessa's Atlas of light curves includes almost 5,5 thousand light curves for ~500 correlated objects from a time period of 2005-2014. The processing of light curves and the determination of the rotation period in the inertial frame is challenging. Extracted frequencies and reconstructed phases for some interesting targets, e.g. GLONASS satellites, for which also SLR data were available for confirmation, will be presented. The rotation of the Envisat satellite after its sudden failure will be analyzed. The deceleration of its rotation rate within 3 years is studied together with the attempt to determine the orientation of the rotation axis.

Propellantless de orbiting of space debris by bare electrodynamic tethers

A 3-year Project started on November 1 2010, financed by the European Commision within the FP-7 Space Program, and aimed at developing an efficient de-orbit system that could be carried on board by future spacecraft launched into LEO, will be presented. The operational system will deploy a thin uninsulated tape-tether to collect electrons as a giant Langmuir probe, using no propellant/no power supply, and generating power on board. This project will involve free-fall tests, and laboratory hypervelocity-impact and tether-current tests, and design/Manufacturing of subsystems: interface elements, electric control and driving module, electron-ejecting plasma contactor, tether-deployment mechanism/end-mass, and tape samples. Preliminary results to be presented involve: i) devising criteria for sizing the three disparate tape dimensions, affecting mass, resistance, current-collection, magnetic self-field, and survivability against debris itself; ii) assessing the dynamical relevance of tether parameters in implementing control laws to limit oscillations in /off the orbital plane, where passive stability may be marginal; iii) deriving a law for bare-tape current from numerical simulations and chamber tests, taking into account ambient magnetic field, ion ram motion, and adiabatic electron trapping; iv) determining requirements on a year-dormant hollow cathode under long times/broad emission-range operation, and trading-off against use of electron thermal emission; v) determining requirements on magnetic components and power semiconductors for a control module that faces high voltage/power operation under mass/volume limitations; vi) assessing strategies to passively deploy a wide conductive tape that needs no retrieval, while avoiding jamming and ending at minimum libration; vii) evaluating the tape structure as regards conductive and dielectric materials, both lengthwise and in its cross-section, in particular to prevent arcing in triple-point junctions.

Orbital space debris [microform] : hearing before the Subcommittee on Space Science and Applications of the Committee on Science, Space, and Technology, House of Representatives, One Hundredth Congress, second session, July 13, 1988.

"No. 112."

Space program : space debris a potential threat to space station and shuttle : report to the Chairman, Committee on Science, Space, and Technology, House of Representatives /

"B-237832"--P. [1]

Modeling, simulation, and characterization of space debris in low-Earth orbit

Every space launch increases the overall amount of space debris. Satellites have limited awareness of nearby objects that might pose a collision hazard. Astrometric, radiometric, and thermal models for the study of space debris in low-Earth orbit have been developed. This modeled approach proposes analysis methods that provide increased Local Area Awareness for satellites in low-Earth and geostationary orbit. Local Area Awareness is defined as the ability to detect, characterize, and extract useful information regarding resident space objects as they move through the space environment surrounding a spacecraft. The study of space debris is of critical importance to all space-faring nations. Characterization efforts are proposed using long-wave infrared sensors for space-based observations of debris objects in low-Earth orbit. Long-wave infrared sensors are commercially available and do not require solar illumination to be observed, as their received signal is temperature dependent. The characterization of debris objects through means of passive imaging techniques allows for further studies into the origination, specifications, and future trajectory of debris objects. Conclusions are made regarding the aforementioned thermal analysis as a function of debris orbit, geometry, orientation with respect to time, and material properties. Development of a thermal model permits the characterization of debris objects based upon their received long-wave infrared signals. Information regarding the material type, size, and tumble-rate of the observed debris objects are extracted. This investigation proposes the utilization of long-wave infrared radiometric models of typical debris to develop techniques for the detection and characterization of debris objects via signal analysis of unresolved imagery. Knowledge regarding the orbital type and semi-major axis of the observed debris object are extracted via astrometric analysis. This knowledge may aid in the constraint of the admissible region for the initial orbit determination process. The resultant orbital information is then fused with the radiometric characterization analysis enabling further characterization efforts of the observed debris object. This fused analysis, yielding orbital, material, and thermal properties, significantly increases a satellite's Local Area Awareness via an intimate understanding of the debris environment surrounding the spacecraft.

Modeling, Simulation, and Characterization of Space Debris in low-Earth Orbit

Every space launch increases the overall amount of space debris. Satellites have limited awareness of nearby objects that might pose a collision hazard. Astrometric, radiometric, and thermal models for the study of space debris in low-Earth orbit have been developed. This modeled approach proposes analysis methods that provide increased Local Area Awareness for satellites in low-Earth and geostationary orbit. Local Area Awareness is defined as the ability to detect, characterize, and extract useful information regarding resident space objects as they move through the space environment surrounding a spacecraft. The study of space debris is of critical importance to all space-faring nations. Characterization efforts are proposed using long-wave infrared sensors for space-based observations of debris objects in low-Earth orbit. Long-wave infrared sensors are commercially available and do not require solar illumination to be observed, as their received signal is temperature dependent. The characterization of debris objects through means of passive imaging techniques allows for further studies into the origination, specifications, and future trajectory of debris objects. Conclusions are made regarding the aforementioned thermal analysis as a function of debris orbit, geometry, orientation with respect to time, and material properties. Development of a thermal model permits the characterization of debris objects based upon their received long-wave infrared signals. Information regarding the material type, size, and tumble-rate of the observed debris objects are extracted. This investigation proposes the utilization of long-wave infrared radiometric models of typical debris to develop techniques for the detection and characterization of debris objects via signal analysis of unresolved imagery. Knowledge regarding the orbital type and semi-major axis of the observed debris object are extracted via astrometric analysis. This knowledge may aid in the constraint of the admissible region for the initial orbit determination process. The resultant orbital information is then fused with the radiometric characterization analysis enabling further characterization efforts of the observed debris object. This fused analysis, yielding orbital, material, and thermal properties, significantly increases a satellite’s Local Area Awareness via an intimate understanding of the debris environment surrounding the spacecraft.

Challenges and Opportunities of Online Entertainment. Proceedings of the 7th International Conference on Internet, Law & Politics. Universitat Oberta de Catalunya, Barcelona, 9-10 July, 2012.

El VIII Congrés Internacional Internet, Dret i Política (IDP 2012) que s'ha dut a terme a Barcelona els dies 9 i 10 de juliol de 2012 sota el títol genèric de "Reptes i oportunitats de l'entreteniment en línia", ha abordat alguns dels principals reptes als que s'enfronta la societat de la informació des de la perspectiva jurídica i politològica. Concretament, els temes centrals han estat el debat sobre l'entreteniment a la xarxa, així com altres qüestions relacionades amb Internet i els drets de propietat intel·lectual, la privacitat, la seguretat o la llibertat d'expressió.

Parental and Successor Liability in EU Competition Law Infringements

Under EU competition law, parent companies may be held jointly and severally liable for the competition law infringements committed by their subsidiaries. The possibility of holding parent companies liable demonstrates a significant exception from the idea of separate legal entities. However, it is not the only deviation developed under EU competition law. In cases, where the legal entity responsible for the anti-competitive conduct has changed its form, liability can be attributed to the new operator, in particular, to its successor. The principles of legal certainty and legitimate expectations are issues that surround the doctrines of parental and successor liability. The aim of this thesis is to present a comprehensive comparative analysis of the parental and successor liability doctrines and to clarify the conditions under which it is possible to attribute liability for the infringements of EU competition law. The main purpose is therefore to demonstrate the problems related to the allocation of liability and to discuss whether these liability principles, established to assure the effective enforcement of the EU competition rules, are good solutions. The research methods used in this thesis are the legal dogmatic approach and the comparative law approach. The former enables the possibility of using the case law and legislation as a framework in which the difficulties concerning the application of parental and successor liability can be discussed while the latter ensures the comparison of the characteristics and judgments. The doctrines of parental and successor liability are both well established, but the application practice has caused several difficulties. These problems derive from, inter alia, the broadness and disjointed developed of the doctrines. There has been much recent case law dealing with these issues and having the potential to open up a considerable risk and to allocate strict liability for parent and successor companies.

The law of the sea: the United States, Canada and the deep seabed

The Falkland Islands War of 1982 was fought over competing claims to sovereignty over a group of islands off the east coast of South America. The dispute was between Argentina and the United Kingdom. Argentina claims the islands under rights to Spanish succession, the fact that they lie off the Argentine coast line and that in 1833 Great Britain took the islands illegally and by force. The United Kingdom claims the islands primarily through prescription--the fact that they have governed the islands in a peaceful, continuous and public manner since 1833. The British also hold that the population living on the islands, roughly eighteen hundred British descendants, should be able to decide their own future. The United Kingdom also lays claim to the islands through rights of discovery and settlement, although this claim has always been challenged by Spain who until 1811 governed the islands. Both claims have legal support, and the final decision if there will ever be one is difficult to predict. Sadly today the ultimate test of sovereignty does not come through international law but remains in the idea that "He is sovereign who can defend his sovereignty." The years preceding the Argentine invasion of 1982 witnessed many diplomatic exchanges between The United Kingdom and Argentina over the future of the islands. During this time the British sent signals to Argentina that ii implied a decline in British resolve to hold the islands and demonstrated that military action did more to further the talks along than did actual negotiations. The Argentine military junta read these signals and decided that they could take the islands in a quick military invasion and that the United Kingdom would consider the act as a fait accompli and would not protest the invasion. The British in response to this claimed that they never signaled to Argentina that a military solution was acceptable to them and launched a Royal Navy task force to liberate the islands. Both governments responded to an international crisis with means that were designed both to resolve the international crisis and increase the domestic popularity of the government. British Prime Minister Margaret Thatcher was facing an all-time low in popularity for post-War Prime Ministers while Argentine President General Galtieri needed to gain mass popular support so he could remain a viable President after he was scheduled to lose command of the army and a seat on the military junta that ran the country. The military war for the Falklands is indicative of the nature of modern warfare between Third World countries. It shows that the gap in military capabilities between Third and First World countries is narrowing significantly. Modern warfare between a First and Third World country is no longer a 'walk over' for the First World country.

The placebo effect: international patent law and the protection of traditional plant medicine

Une préoccupation essentielle traverse cette thèse: l'indifférence systémique de la Loi internationale sur la propriété intellectuelle a l'égard des savoirs traditionnels autochtones. De manière générale, un écart semble d'ailleurs croissant entre l'importance des accords internationaux sur les questions d'intérêt commercial et ceux de nature sociale. Les savoirs traditionnels autochtones sur les plantes médicinales sont particulièrement désavantagés dans ce système dichotomique puisqu'ils sont non seulement à l'origine d'énormes profits commerciaux mais se trouvent aussi au cœur de multiples croyances propres à ces sociétés. L'Accord sur les aspects des droits de propriété intellectuelle qui touchent au commerce (ADPIC) de l'Organisation mondiale du commerce (OMC) a cristallisé le souci de la législation internationale à l'égard d'une protection efficace des intérêts commerciaux. Deux années auparavant, la Convention sur la diversité biologique (CDB) était signée, traduisant une préoccupation à l'égard du développement durable, et elle devenait le premier accord international à tenir compte des savoirs traditionnels autochtones. On considère souvent que ces deux accords permettent l'équilibre du développement commercial et durable, requis par l'économie internationale. Après plus ample examen, on a plutôt l'impression que l'idée d'une CDB défendant, avec succès et efficacité, la nécessité du développement durable et des savoirs traditionnels autochtones contre les pressions opposées de l'ADPIC et de l'OMC est, au mieux, simpliste. La thèse explore également la fonction de la Loi sur les brevets dans la création d’industries, notamment pharmaceutique, et la manière dont ces industries influencent la législation nationale et en particulier internationale. De même, elle traite du rôle que jouent les brevets dans l'affaiblissement et la dépossession des peuples autochtones dotés de savoirs traditionnels sur les plantes médicinales, conduisant à une situation ou ces savoirs sont marginalisés ainsi que leurs détenteurs. La thèse aborde les failles institutionnelles du système juridique international qui permet une telle situation et indique l'urgente nécessité d'examiner attentivement les inégalités économiques et sociales au Nord comme au Sud, et non seulement entre eux. Finalement, la thèse suggère que la législation internationale gagnerait à s'inspirer des diverses traditions juridiques présentes à travers le monde et, dans ce cas particulier, peut être les détenteurs des connaissances traditionnelles concernant les plantes médicinales seront mieux servi par le droit des obligations.

The Influence of ICC Arbitral Decisions on Canadian Law: Comparative Study between Civil Law and Common Law Jurisdictions

L’objectif de cette recherche est de démontrer que les décisions arbitrales de la Chambre de commerce internationale peuvent être considérées comme une source potentielle de droit au Canada. Il existe actuellement une incertitude quant au droit matériel utilisé en arbitrage international pour résoudre les différends commerciaux. Bien que l’utilisation de la lex mercatoria pour résoudre un litige soit une option, elle se heurte à de nombreuses incertitudes terminologiques et conceptuelles. L’utilisation d’une approche méthodologique de la lex mercatoria permettrait une classification de ses sources en deux branches: (1) le droit statutaire international et (2) le stare decisis des tribunaux d’arbitrage commercial international. Une telle approche méthodologique conférerait plus de certitude quant à l’application d’un droit uniforme. De plus, elle faciliterait l’étude de l’interlégalité entre les règles de la lex mercatoria et le droit matériel interne. Plus particulièrement, elle permet de comparer les similitudes et les différences des règles du droit matériel entre les décisions arbitrales internationales, le droit statutaire international et les juridictions canadiennes de common law et de droit civil. Cette comparaison rend possible une évaluation de l’influence potentielle des décisions arbitrales de la Chambre de commerce internationale sur le droit matériel canadien et si cette influence est plus importante en droit civil ou en common law.

“Rights of Women against Domestic Violence - The Law and Emerging Challenges”

Domestic violence is a gender based violation of human rights having multi- dimensional repercussions in the well- being of individuals in family and society. The Indian legislation to protect the women from domestic violence is significant in providing a mechanism for enforcing positive civil rights of protection and injunction orders to the victims of domestic violence along with the existing remedies of criminal sanctions. However the Act was brought in the backdrop of an established tradition of cohesive and stable family setting. This, in turn, results in the emergence of new issues and challenges which necessitates deeper understandings of indigenous sociocultural institutions in India i.e., marriage and family. This study is an attempt to analyse the Indian law on domestic violence and to assess whether the law addresses and answers the problems of domestic violence effectively in the culture specific setting of India