Relevant bibliographies by topics / Circular Restricted Three Body Problem

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Academic literature on the topic 'Circular Restricted Three Body Problem'

Author: Grafiati
Published: 4 June 2021
Last updated: 26 July 2025

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Journal articles on the topic "Circular Restricted Three Body Problem"

1

Dionysiou, D. D., and D. A. Vaiopoulos. "On the restricted circular three-charged-body problem." Astrophysics and Space Science 135, no. 2 (1987): 253–60. http://dx.doi.org/10.1007/bf00641560.

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Vrbik, Jan. "Chaos in Planar, Circular, Restricted Three-Body Problem." Applied Mathematics 04, no. 01 (2013): 40–45. http://dx.doi.org/10.4236/am.2013.41008.

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Abouelmagd, Elbaz I., Juan Luis García Guirao, and Jaume Llibre. "Periodic Orbits of Quantised Restricted Three-Body Problem." Universe 9, no. 3 (2023): 149. http://dx.doi.org/10.3390/universe9030149.

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In this paper, perturbed third-body motion is considered under quantum corrections to analyse the existence of periodic orbits. These orbits are studied through two approaches to identify the first (second) periodic-orbit types. The essential conditions are given in order to prove that the circular (elliptical) periodic orbits of the rotating Kepler problem (RKP) can continue to the perturbed motion of the third body under quantum corrections where a massive primary body has excessive gravitational force over the smaller primary body. The primaries moved around each other in circular (elliptic
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Minglibayev, M. Zh, and T. M. Zhumabek. "ON THE RESTRICTED THREE-BODY PROBLEM." PHYSICO-MATHEMATICAL SERIES 2, no. 336 (2021): 138–44. http://dx.doi.org/10.32014/2021.2518-1726.33.

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The paper analytically investigates the classical restricted three-body problem in a special non-inertial central coordinate system, with the origin at center of forces. In this coordinate system, an analytical expression of the invariant of the centre of forces is given. The existence of the invariant of the centre of forces admits the correct division of the problem into two problems. The first is a triangular restricted three-body problem. The second is a collinear restricted three-body problem. In this paper the collinear restricted three-body problem is investigated. Using the properties
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Campagnola, Stefano, Paul Skerritt, and Ryan P. Russell. "Flybys in the planar, circular, restricted, three-body problem." Celestial Mechanics and Dynamical Astronomy 113, no. 3 (2012): 343–68. http://dx.doi.org/10.1007/s10569-012-9427-x.

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Rodica, Roman, and Mioc Vasile. "Libration Points in Schwarzschild's Circular Restricted Three-Body Problem." Astrophysics and Space Science 304, no. 1-4 (2006): 101–3. http://dx.doi.org/10.1007/s10509-006-9083-2.

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Guzzetti, Davide, and Kathleen Connor Howell. "Attitude dynamics in the circular restricted three-body problem." Astrodynamics 2, no. 2 (2018): 87–119. http://dx.doi.org/10.1007/s42064-017-0012-7.

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Palacián, J. F., C. Vidal, J. Vidarte, and P. Yanguas. "Dynamics in the Charged Restricted Circular Three-Body Problem." Journal of Dynamics and Differential Equations 30, no. 4 (2017): 1757–74. http://dx.doi.org/10.1007/s10884-017-9627-x.

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Singh, Jagadish, and Achonu Joseph Omale. "Robe’s circular restricted three-body problem with zonal harmonics." Astrophysics and Space Science 353, no. 1 (2014): 89–96. http://dx.doi.org/10.1007/s10509-014-1995-7.

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Abduljabar Ansari, Abdullah, and Mehtab Alam. "Dynamics in the circular restricted three body problem with perturbations." International Journal of Advanced Astronomy 5, no. 1 (2017): 19. http://dx.doi.org/10.14419/ijaa.v5i1.7102.

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This paper presents the dynamics in the restricted problem with perturbations i.e. the circular restricted three body problem by considering one of the primaries as oblate and other one having the solar radiation pressure and all the masses are variable (primaries and infinitesimal body). For finding the autonomized equations of motion, we have used the Meshcherskii transformation. We have drawn the libration points, the time series, the zero velocity curves and Poincare surface of sections for the different values of the oblateness and solar radiation pressure. Finally, we have examined the s
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Dissertations / Theses on the topic "Circular Restricted Three Body Problem"

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Tan, Minghu. "Low energy capture of near-Earth asteroids in the circular restricted three-body problem." Thesis, University of Glasgow, 2018. http://theses.gla.ac.uk/30779/.

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Near-Earth Asteroids (NEAs) can provide useful resources in terms of feedstock for spacecraft propellant, crew logistic support and a range of useful metals. The possibility of capturing small NEAs using low energy transfers would therefore be of significant scientific and commercial interest. Although NEAs may make close approaches to the Earth, and so represent a potential impact threat, the exploitation of their resources has long been proposed as a necessary element for future space exploration. The objective of the research presented in this thesis is to develop methodologies for the traj
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Chupin, Maxime. "Interplanetary transfers with low consumption using the properties of the restricted three body problem." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066307/document.

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Le premier objectif de cette thèse est de bien comprendre les propriétés de la dynamique du problème circulaire restreint des trois corps et de les utiliser pour calculer des missions pour satellites pourvus de moteurs à faible poussée. Une propriété fondamentale est l'existence de variétés invariantes associées à des orbites périodiques autour des points de \bsc{Lagrange}. En suivant l'idée de l'\emph{Interplanetary Transport Network}, la connaissance et le calcul des variétés invariantes, comme courants gravitationnels, sont cruciaux pour le \emph{design} de missions spatiales. Une grande pa
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Nicholls, Robert [Verfasser], and Urs [Akademischer Betreuer] Frauenfelder. "Second species orbits of negative action and contact forms in the circular restricted three-body problem / Robert Nicholls ; Betreuer: Urs Frauenfelder." Augsburg : Universität Augsburg, 2021. http://d-nb.info/1241474354/34.

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Rosa, Ibarra Abraham de la. "Global instability in the elliptic restricted three body problem." Doctoral thesis, Universitat Politècnica de Catalunya, 2014. http://hdl.handle.net/10803/277577.

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The goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase space for certain ranges of the eccentricity of the primaries (e), the angular momentum of the comet (G) and the parameter of mass (µ). More precisely, the results presented in his thesis, are valid for G big enough, eG bounded and µ small enough. The thesis is divided in two chapters and two appendices. The chapter one, contains all the main results. After introducing the ERTBP, we use McGeh
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Rodríguez, del Río Óscar. "Ejection-collision orbits in the restricted three-body problem." Doctoral thesis, Universitat Politècnica de Catalunya, 2021. http://hdl.handle.net/10803/672338.

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The main objective of this dissertation is the study of the ejection-collision (EC) orbits in the circular and planar Restricted Three Body Problem (RTBP from now on). In particular, we will focus on the analytical and numerical study of a very specific type of EC orbits, that we denote as n-EC orbits. An n-EC orbit is an orbit such that the particle ejects from one primary and reaches n times a relative maximum in the distance with respect to the primary from which it ejected before colliding with it. In this way, we will study numerically in depth this kind of orbits and we will show analyti
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Iuliano, Jay R. "A Solution to the Circular Restricted N Body Problem in Planetary Systems." DigitalCommons@CalPoly, 2016. https://digitalcommons.calpoly.edu/theses/1612.

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This thesis is a brief look at a new solution to a problem that has been approached in many different ways in the past - the N body problem. By focusing on planetary systems, satellite dynamics can be modeled in a fashion similar to the Circular Restricted Three Body Problem (CR3BP) with the Circular Restricted N Body Problem (CRNBP). It was found that this new formulation of the dynamics can then utilize the tools created from all the research into the CR3BP to reassess the possibility of different complex trajectories in systems where there are more than just two large gravitational bodies a
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Jedrey, Richard M. "Development of a Discretized Model for the Restricted Three-Body Problem." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306856595.

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Ross, Shane David Marsden Jerrold E. "Cylindrical manifolds and tube dynamics in the restricted three-body problem /." Diss., Pasadena, Calif. : California Institute of Technology, 2004. http://resolver.caltech.edu/CaltechETD:etd-05182004-154045.

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Soldini, Stefania. "Design and control of solar radiation pressure assisted missions in the sun-earth restricted three-body problem." Thesis, University of Southampton, 2016. https://eprints.soton.ac.uk/401834/.

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The scientific interest in space exploration is driven by the desire to answer fundamental questions relating to the formation of our solar system and life on Earth. Space agencies are currently pushing the boundaries of space mission design to meet scientific goals. Thus, space missions require novel trajectories to further human space exploration. A modern approach that has arisen in space mission design is to use dynamical system tools that exploit the natural dynamics of the solar system. A spacecraft's natural dynamics are affected by environmental perturbations such as Solar Radiation Pr
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Kim, Seongchan [Verfasser], and Urs [Akademischer Betreuer] Frauenfelder. "J+-like invariants and families of periodic orbits in the restricted three-body problem / Seongchan Kim ; Betreuer: Urs Frauenfelder." Augsburg : Universität Augsburg, 2018. http://d-nb.info/1171705409/34.

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Books on the topic "Circular Restricted Three Body Problem"

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Frauenfelder, Urs, and Otto van Koert. The Restricted Three-Body Problem and Holomorphic Curves. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72278-8.

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Bryuno, Aleksandr D. The restricted 3-body problem: Plane periodic orbits. W.de Gruyter, 1994.

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Generating Families in the Restricted Three-Body Problem. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/3-540-44712-1.

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Generating Families in the Restricted Three-Body Problem. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-69650-4.

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Generating families in the restricted three-body problem. Springer-Verlag, 1997.

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Frauenfelder, Urs, and Otto van Koert. The Restricted Three-Body Problem and Holomorphic Curves. Birkhäuser, 2018.

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Frauenfelder, Urs, and Otto van Koert. The Restricted Three-Body Problem and Holomorphic Curves. Birkhäuser, 2019.

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Henon, Michel. Generating Families in the Restricted Three-Body Problem. Springer London, Limited, 2003.

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Henon, Michel. Generating Families in the Restricted Three-Body Problem. Springer, 2013.

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Szebehely, Victor Goyzo. Theory of Orbit: The Restricted Problem of Three Bodies. Elsevier Science & Technology Books, 2012.

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Book chapters on the topic "Circular Restricted Three Body Problem"

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Shymanchuk, Dzmitry, Alexander Shmyrov, and Vasily Shmyrov. "Construction of Connecting Trajectories in the Circular Restricted Three-Body Problem." In Lecture Notes in Control and Information Sciences - Proceedings. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-87966-2_55.

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Patel, Bhavika M., Niraj M. Pathak, and Elbaz I. Abouelmagd. "Analysis of Third-Order Resonant Periodic Orbits in Perturbed Circular Restricted Three-Body Problem." In Advances in Intelligent Systems and Computing. Springer Nature Singapore, 2023. http://dx.doi.org/10.1007/978-981-19-9906-2_8.

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Khan, Ayub, and Mohammad Shahzad. "Chaos Synchronization in a Circular Restricted Three Body Problem Under the Effect of Radiation." In Chaos and Complex Systems. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33914-1_8.

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Guardia, Marcel, Pau Martín, and Tere M. Seara. "Homoclinic Solutions to Infinity and Oscillatory Motions in the Restricted Planar Circular Three Body Problem." In Progress and Challenges in Dynamical Systems. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38830-9_16.

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Castelli, Roberto. "On the Relation Between the Bicircular Model and the Coupled Circular Restricted Three-Body Problem Approximation." In Nonlinear and Complex Dynamics. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0231-2_4.

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Dellnitz, Michael, Kathrin Padberg, Robert Preis, and Bianca Thiere. "Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem." In Nonlinear Science and Complexity. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-90-481-9884-9_12.

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Borunov, V. P., Yu A. Ryabov, and O. V. Surkov. "Application of Computer Algebra for Construction of Quasi-periodic Solutions for Restricted Circular Planar Three Body Problem." In Computer Algebra in Scientific Computing. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11870814_6.

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Valsecchi, G. B., E. Perozzi, A. E. Roy, and B. A. Steves. "Hunting for Periodic Orbits Close to that of the Moon in the Restricted Circular Three-Body Problem." In From Newton to Chaos. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-1085-1_21.

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Celletti, Alessandra, Andrea Chessa, John Hadjidemetriou, and Giovanni Battista Valsecchi. "A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-Body Problem." In Modern Celestial Mechanics: From Theory to Applications. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-2304-6_15.

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Gurfil, Pini, and P. Kenneth Seidelmann. "The Restricted Three-Body Problem." In Celestial Mechanics and Astrodynamics: Theory and Practice. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-50370-6_8.

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Conference papers on the topic "Circular Restricted Three Body Problem"

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Hecht, Grant, and Eleonora Botta. "Automated Computation of Optimal Spiral Trajectories in the Circular Restricted Three-Body Problem." In IAF Astrodynamics Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078368-0103.

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Mendoza Zambrano, Luis, Franco Criscola, Nicolo Woodward, et al. "Fuel-Optimal Trajectories of the Perturbed Circular Restricted Three-Body Problem for Lunar Occultation Applications." In IAF Astrodynamics Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078368-0035.

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Yamaguchi, Kohei, Xinbo Gu, Takaya Inamori, and Ji Hyun Park. "Near-Earth Asteroid Capture Mission Design Method Based on the Orbital Dynamics in the Planar-Circular Restricted Three-body Problem." In IAF Symposium on Planetary Defense and Near-Earth Objects, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078387-0026.

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Peng, Lei, Yuying Liang, and Qingfang Xiao. "Separatrix of Bounded Orbits and Escaping Manifolds in Hyperbolic Restricted Three-Body Problem." In IAF Astrodynamics Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078368-0084.

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Shihara, Takayuki, Takuya Chikazawa, Josué Cardoso Dos Santos, and Yasuhiro Kawakatsu. "Semi-Analytical Approach for Lunar Capture Under Solar Gravity Perturbation in the Elliptic Restricted Three-Body Problem." In IAF Astrodynamics Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078368-0143.

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Matonti, Catello Leonardo, and Marcello Romano. "New Families of Halo Orbits About the Photo-Gravitational Equilibrium in the Sun - Earth–Moon System’s Center of Mass Elliptic Restricted Three Body Problem for Planetary Sunshade Missions." In IAF Astrodynamics Symposium, Held at the 75th International Astronautical Congress (IAC 2024). International Astronautical Federation (IAF), 2024. https://doi.org/10.52202/078368-0070.

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Roman, Rodica, Tiberiu Oproiu, Vasile Mioc, Cristiana Dumitrache, and Nedelia A. Popescu. "The dumb-bell’s restricted, photogravitational, circular three-body problem." In EXPLORING THE SOLAR SYSTEM AND THE UNIVERSE. AIP, 2008. http://dx.doi.org/10.1063/1.2993644.

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Fitzgerald, Riley M. "Counting Lambert's Problem Solutions in the Circular-Restricted Three-Body Problem." In AIAA SCITECH 2024 Forum. American Institute of Aeronautics and Astronautics, 2024. http://dx.doi.org/10.2514/6.2024-0204.

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Ono, Go. "Evaluation of Landing Accuracy on Planetary Moons in Circular-Restricted Three Body Problem." In AIAA SCITECH 2024 Forum. American Institute of Aeronautics and Astronautics, 2024. http://dx.doi.org/10.2514/6.2024-1061.

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Zuehlke, David, Alex Sizemore, and Troy Henderson. "Angles Only Initial Relative Orbit Determination for the Circular Restricted Three-Body Problem." In AIAA SCITECH 2024 Forum. American Institute of Aeronautics and Astronautics, 2024. http://dx.doi.org/10.2514/6.2024-0427.

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Reports on the topic "Circular Restricted Three Body Problem"

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Gordon, Steven C. Some Results of Adding Solar Radiation Pressure Force to the Restricted Three-Body Problem. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada241397.

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Niebler, Rebecca. Abfallwirtschaftliche Geschäftsmodelle für Textilien in der Circular Economy. Sonderforschungsgruppe Institutionenanalyse, 2020. http://dx.doi.org/10.46850/sofia.9783941627833.

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This master thesis explores the challenges for waste management business models in the field of textiles regarding the requirements of the circular economy, as well as improvement potentials in the current framework conditions. It is concerned with the research question: "Is it advisable to change the frame-work conditions at meso or macro level, with regard to business models for waste management companies in the textile sector that are oriented towards the requirements of the circular economy, and - if so - in what way?” The approach of the study is based on the delta analysis of the e Socie
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