DSpace Repository :: Browsing by Author "Yanguas Sayas, Patricia"

Browsing by Author "Yanguas Sayas, Patricia"

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Open Access
Analysis of bright bolides recorded between October and November 2022 by the Southwestern Europe Meteor Network
(MeteorNews, 2023) Madiedo, J. M.; Ortiz, J. L.; Izquierdo, J.; Santos-Sanz, P.; Aceituno, J.; Guindos, E. de; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; San Segundo, A.; Ávila, D.; Tosar, B.; Gómez-Hernández, A.; Gómez-Martínez, Juan; García, Antonio; Aimee, A. I.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
We present in this work the analysis of some of the bright fireballs spotted in the framework of the Southwestern Europe Meteor Network (SWEMN) between October and November 2022. They have been observed from the Iberian Peninsula and had a maximum brightness ranging from mag. –7 to mag. –15. Most meteors included in this report were linked to the sporadic background and also to the Southern Taurids.
Open Access
Analysis of remarkable bolides observed between June and July 2022 in the framework of the Southwestern EuropeMeteor Network
(MeteorNews, 2022) Madiedo, J. M.; Ortiz, J. L.; Izquierdo, J.; Santos-Sanz, P.; Aceituno, J.; Guindos, E. de; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; San Segundo, A.; Ávila, D.; Tosar, B.; Gómez-Hernández, A.; Gómez-Martínez, J.; García, A.; Aimee, A. I.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
Some of the bright bolides spotted in the framework of the Southwestern Europe Meteor Network from June to July 2022 are discussed here. These were observed from Spain. Their absolute magnitude ranges from –6 to –11. Fireballs included in this work were generated by different sources: the sporadic background, major meteoroid streams, and poorly known streams.
Open Access
Automatización de recogida de datos de una cámara de meteoros
(2023) Barriuso Cervera, Alejandro; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; Escuela Técnica Superior de Ingeniería Agronómica y Biociencias; Nekazaritzako Ingeniaritzako eta Biozientzietako Goi Mailako Eskola Teknikoa
Un meteoro, popularmente conocido como estrella fugaz, es un fenómeno astronómico que se produce cuando una partícula de polvo, hielo o roca procedente del sistema solar entra en contacto con la atmósfera terrestre y provoca que el aire a su alrededor se ionice. Esta ionización conlleva un fenómeno luminoso que puede ser observado desde la corteza terrestre. El presente trabajo tiene como finalidad el desarrollo de un sistema automatizado para detectar durante periodos nocturnos dichos eventos astronómicos. El sistema consiste de una cámara IP con un sensor integrado de alta sensibilidad para una mejor visión durante la noche. La cámara se encuentra en el interior de una estructura de soporte y conectada a una Raspberry Pi 4B 4GB que cumple una doble finalidad. En primer lugar, ejecuta un software para controlar dicha cámara desde el atardecer hasta el amanecer de forma automática. En segundo lugar, tras el periodo de captura, procesa las imágenes para detectar la entrada de posibles meteoroides en la atmósfera terrestre. Toda la información recogida queda guardada para su posterior estudio. El bajo coste de esta estación de detección de meteoros permite que tenga un alto grado de escalabilidad. La instalación de varias cámaras en diferentes ubicaciones podría aumentar significativamente la precisión y fiabilidad de los datos recopilados a través de la triangulación de la trayectoria del meteoroide. Este sistema automatizado tiene el potencial de aumentar significativamente la eficiencia de la observación de meteoros y reduce el esfuerzo requerido para la recopilación de datos.
Open Access
Averaging, reduction and reconstruction in the spatial three-body problem
(2015) Sayas Bordonaba, Flora; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza
El objetivo de esta tesis es el estudio de la dinámica del problema espacial de tres cuerpos. En particular, se establece la existencia de toros KAM asociados a diferentes tipos de movimientos. El problema espacial de tres cuerpos es un sistema hamiltoniano de nueve grados de libertad. La primera parte de la tesis consiste en aplicar técnicas de promedios y reducción con el fin de obtener un sistema reducido de un grado de libertad, es decir, aquel en el que todas las simetrías continuas han sido reducidas. El estudio, desarrollado a lo largo del presente documento, es válido en las regiones en las cuales el hamiltoniano del problema espacial de tres cuerpos puede ser expresado como suma de dos sistemas keplerianos más un pequeña perturbación. El proceso de reducción consta de las siguientes etapas: 1.- Reducción de la simetría traslacional. 2.- Reducción kepleriana, introducida en el proceso de normalización. 3.- Reducción de la simetría rotacional. 4.- Reducción de las simetría introducida al truncar el desarrollo del potencial. En primer lugar, reducimos la simetría traslacional, escribiendo el hamiltoniano en función de las coordenadas de Jacobi. A continuación, utilizamos las variables de Deprit para eliminar los nodos. Posteriormente, normalizamos con respecto de las anomalías medias en una región sin resonancias y truncamos los términos de mayor orden. El sistema obtenido es expresado en términos de los invariantes que definen el espacio reducido, el cual es una variedad simpléctica de dimensión ocho. En segundo lugar, se reduce la simetría rotacional que viene determinada por el hecho de que el módulo del momento angular total y su proyección en el eje vertical del sistema de referencia inercial son integrales del movimiento. Una vez calculados los invariantes asociados a las simetrías generadas por dichas integrales y el espacio reducido correspondiente, expresamos el hamiltoniano en término de estos invariantes. Ahora el espacio reducido tiene dimensión seis y es singular para algunos valores de los parámetros. En esta parte del estudio, la teoría de la reducción singular juega un papel clave. El último paso en el proceso de reducción es el de eliminar la simetría asociada al argumento del pericentro del cuerpo exterior. Dicha simetría aparece al truncar el hamiltoniano, puesto que este resulta ser independiente del argumento del pericentro. Una vez finalizado el proceso de reducción, obtenemos un espacio, que puede ser regular y difeomorfo a S2 o singular con a lo sumo tres puntos singulares, de dimensión dos parametrizado por medio de tres invariantes. En este espacio estudiamos los equilibrios relativos, su estabilidad y bifurcaciones. Partiendo del análisis de los equilibrios relativos en el espacio más reducido, llevamos a cabo la reconstrucción de toros KAM alrededor de cada equilibrio de tipo elíptico. Nuestro estudio consiste en una combinación de técnicas de regularizaci ón basadas en la construcción de espacios reducidos a diferentes niveles y la determinación explícita de coordenadas simplécticas. Todo esto nos permite calcular las torsiones para todas las posibles combinaciones de movimientos que las tres partículas puede seguir, incluyendo aquellos en los que los cuerpos interiores siguen trayectorias casi rectilíneas. Para probar la existencia de soluciones cuasi-periódicas utilizamos el teorema de Han, Li y Yi para sistemas hamiltonianos con alta degeneración y obtenemos toros KAM, de dimensión cinco, alrededor de equilibrios elípticos que representan diferentes tipos de movimientos. Centrándonos en los movimientos casi rectilíneos, encontramos soluciones cuasiperiódicas de los tres cuerpos tales que los dos cuerpos interiores describen órbitas cercanas a las de colisión. Los cuerpos interiores no colisionan, siguen órbitas acotadas con excentricidades próximas a uno. Estas soluciones están asociadas a puntos de equilibrio elípticos y o bien están en el plano invariable o son perpendiculares a él. Estas soluciones llenan toros invariantes de dimensión cinco.
Open Access
Bright fireballs recorded along February 2021 in the framework of the Southwestern Europe Meteor Network
(MeteorNews, 2021) Madiedo, J. M.; Ortiz, J. L.; Izquierdo, J.; Santos-Sanz, P.; Aceituno, J.; Guindos, E. de; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
This work focuses on the analysis of some of the brightest bolides recorded along February 2021 by the meteorobserving stations operating in the framework of the Southwestern Europe Meteor Network (SWEMN). Some of them were produced by meteoroids belonging to recently discovered and poorly-known streams. The absolute magnitude of these fireballs, which were observed over the Iberian Peninsula, ranged between ±7 and ±10. The emission spectra produced by some of these events are also presented and discussed.
Open Access
Bright fireballs recorded along March 2021 in the framework of the Southwestern Europe Meteor Network
(MeteorNews, 2021) Madiedo, J. M.; Ortiz, J. L.; Izquierdo, J.; Santos-Sanz, P.; Aceituno, J.; Guindos, E. de; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
We present here some recent improvements performed in the framework of the Southwestern Europe Meteor Network (SWEMN) and the SMART project. In particular, we focus on the development of the first digital database dedicated to meteor events recorded over Spain and neighboring areas. This includes, among other information, the circumstances of each event, orbital data, emission spectrum, lightcurve, and meteoroid physical properties. We also discuss in this work the main fireballs recorded by our network along April 2021.
Open Access
Chaos in the libration motion of an asymmetric non-rigid spacecraft
(2004) Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Salas, José Pablo; Yanguas Sayas, Patricia; Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Matemáticas; Gobierno de Navarra / Nafarroako Gobernua
We study the libration motion dynamics of an asymmetric spacecraft in circular orbit under the influence of a gravity gradient torque
Open Access
Charge transfer in the Rydberg hydrogen atom metal surface interaction: a transition state approach
(2007) Salas, José Pablo; Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Yanguas Sayas, Patricia; Ingeniería Matemática e Informática; Matematika eta Informatika Ingeniaritza
We study the classical dynamics of a hydrogen atom near a metallic surface in the presence of a uniform electric field. By continuation of families of periodic orbits and surfaces of section we show that, due to the electric field, the atom falls into a Stark regime through two pitchfork bifurcations. The charge transfer is studied by using the Dynamical Transition State Theory. Indeed, we obtain analytically the geometrical structures that in phase space regulate the ionisation of the atom and we calculate efficiently the ionisation probability as a function of the electric field strength.
Open Access
Corrigendum to “Oscillatory motions in restricted N-body problems” [J. Differential Equations 265 (2018) 779–803]
(Elsevier, 2019) Álvarez-Ramírez, Martha; Rodríguez García, Antonio; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
At the beginning of paper [1] there is an error that spreads along the rest of the work and the conclusions are not correct in their present form. Precisely, in Section 2, page 783, there is a contradiction related to the scaling. In the paragraph before formula (6) it is said that t→ε^3t but Hamiltonian (6) is not scaled accordingly. We have fixed the problem and, after performing due changes, the conclusions are obtained. The existence of the manifolds at infinity is guaranteed (Theorem 3.1) and the transversal intersection of them is concluded in Theorem 5.1. The applications in Section 6 are also valid after adapting them to the new version of the theorems.
Open Access
Detección automática en tiempo real de meteoros mediante redes neuronales convolucionales
(2022) Biurrun Villacorta, Unai; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; Escuela Técnica Superior de Ingeniería Industrial, Informática y de Telecomunicación; Industria, Informatika eta Telekomunikazio Ingeniaritzako Goi Mailako Eskola Teknikoa
El presente trabajo tiene por objetivo la implementación de un sistema rápido de detección automática de meteoros en imágenes obtenidas mediante cámaras astronómicas. En particular, se emplea la infraestructura existente de la que la UPNA dispone en el edificio Jerónimo de Ayanz, compuesta de una cámara astronómica comunicada a un equipo Windows que captura, almacena y procesa las imágenes. La infraestructura mencionada fue preparada anteriormente por dos alumnos de la universidad. No obstante, la instalación dejó de funcionar, por lo que, en primer lugar, ha sido necesario examinar su estado. A lo largo del trabajo se han determinado los principales problemas de los que dispone el conjunto de datos almacenados hasta la fecha y se han entrenado varios modelos de aprendizaje automático de los cuales se ha elegido aquel con una mayor tasa de detección de meteoros siempre y cuando su velocidad de predicción sea, por lo menos, de 25 imágenes por segundo.
Open Access
Dynamics in the charged restricted circular three-body problem
(Springer US, 2018) Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika
The existence and stability of periodic solutions for different types of perturbations associated to the Charged Restricted Circular Three Body Problem (shortly, CHRCTBP) is tackled using reduction and averaging theories as well as the technique of continuation of Poincaré for the study of symmetric periodic solutions. The determination of KAM 2-tori encasing some of the linearly stable periodic solutions is proved. Finally, we analyze the occurrence of Hamiltonian-Hopf bifurcations associated to some equilibrium points of the CHRCTBP.
Open Access
Dynamics of axially symmetric perturbed Hamiltonians in 1:1:1 resonance
(Springer, 2018) Carrasco, Dante; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Vidarte, Jhon; Yanguas Sayas, Patricia; Matematika eta Informatika Ingeniaritza; Institute for Advanced Materials and Mathematics - INAMAT2; Ingeniería Matemática e Informática
We study the dynamics of a family of perturbed three-degree-of-freedom Hamiltonian systems which are in 1:1:1 resonance. The perturbation consists of axially symmetric cubic and quartic arbitrary polynomials. Our analysis is performed by normalisation, reduction and KAM techniques. Firstly, the system is reduced by the axial symmetry, and then, periodic solutions and KAM 3-tori of the full system are determined from the relative equilibria. Next, the oscillator symmetry is extended by normalisation up to terms of degree 4 in rectangular coordinates; after truncation of higher orders and reduction to the orbit space, some relative equilibria are established and periodic solutions and KAM 3-tori of the original system are obtained. As a third step, the reduction in the two symmetries leads to a one-degree-of-freedom system that is completely analysed in the twice reduced space. All the relative equilibria together with the stability and parametric bifurcations are determined. Moreover, the invariant 2-tori (related to the critical points of the twice reduced space), some periodic solutions and the KAM3-tori, all corresponding to the full system, are established. Additionally, the bifurcations of equilibria occurring in the twice reduced space are reconstructed as quasi-periodic bifurcations involving 2-tori and periodic solutions of the full system.
Open Access
Effects of a soft-core coulomb potential on the dynamics of a hydrogen atom near a metal surface
(Elsevier, 2019) Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Pascual, Ana Isabel; Salas, José Pablo; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
The goal of this paper is to investigate the effects that the replacement of the Coulomb potential by a soft-core Coulomb potential produces in the classical dynamics of a perturbed Rydberg hydrogen atom. As example, we consider a Rydberg hydrogen atom near a metal surface subjected to a constant electric field in the electron-extraction regime. Thence, the dynamics of the real perturbed Coulomb system, studied by applying the Levi–Civita regularization, is compared with that of the softened one. The results of this study show that the global behavior of the system is significantly altered when the original Coulomb potential part is replaced by a soft-core potential.
Open Access
Fireballs recorded between May and July 2021 by the Southwestern Europe Meteor Network
(MeteorNews, 2021) Madiedo, J. M.; Ortiz, J. L.; Izquierdo, J.; Santos-Sanz, P.; Aceituno, J.; Guindos, E. de; Yanguas Sayas, Patricia; Palacián Subiela, Jesús Francisco; San Segundo, A.; Ávila, D.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
This work focuses on the analysis of the most remarkable bolides recorded over the Iberian Peninsula and neighboring areas in the framework of the Southwestern Europe Meteor Network (SWEMN) and the SMART project. These events were spotted from May to July 2021.
Open Access
FRIPON: a worldwide network to track incoming meteoroids
(EDP Sciences, 2020) Colas, F.; Zanda, B.; Bouley, S.; Jeanne, S.; Malgoyre, A.; Birlan, M.; Yanguas Sayas, Patricia; Blanpain, C.; Gattacceca, J.; Jorda, L.; Lecubin, J.; Marmo, C.; Rault, J. L.; Vaubaillon, J.; Vernazza, P.; Yohia, C.; Gardiol, D.; Nedelcu, A.; Poppe, B.; Rowe, J.; Forcier, M.; Koschny, D.; Trigo-Rodríguez, J. M.; Lamy, H.; Behrend, R.; Ferrière, L.; Barghini, D.; Buzzoni, A.; Carbognani, A.; Di Carlo, M.; Di Martino, M.; Knapic, C.; Londero, E.; Pratesi, G.; Rasetti, S.; Riva, W.; Stirpe, G.M.; Valsecchi, G.B.; Volpicelli, C.A.; Zorba, S.; Coward, D.; Drolshagen, E.; Drolshagen, G.; Hernández, O.; Jehin, E.; Jobin, M.; King, A.; Nitschelm, C.; Ott, T.; Sánchez-Lavega, Agustín; Toni, A.; Abraham, P.; Affaticati, F.; Albani, M.; Andreis, A.; Andrieu, T.; Anghel, S.; Antaluca, E.; Antier, K.; Appéré, T.; Armand, A.; Ascione, G.; Audureau, Y.; Auxepaules, G.; Avoscan, T.; Baba Aissa, D.; Bacci, P.; Bãdescu, O.; Baldini, R.; Baldo, R.; Balestrero, A.; Baratoux, D.; Barbotin, E.; Bardy, M.; Basso, S.; Bautista, O.; Bayle, L. D.; Beck, P.; Bellitto, R.; Belluso, R.; Benna, C.; Benammi, M.; Beneteau, E.; Benkhaldoun, Z.; Bergamini, P.; Bernardi, F.; Bertaina, M. E.; Bessin, P.; Betti, L.; Bettonvil, F.; Bihel, D.; Birnbaum, C.; Blagoi, O.; Blouri, E.; Boacã, I.; Boatã, R.; Bobiet, B.; Bonino, R.; Boros, K.; Bouchet, E.; Borgeot, V.; Bouchez, E.; Boust, D.; Boudon, V.; Bouman, T.; Bourget, P.; Brandenburg, S.; Bramond, Ph.; Braun, E.; Bussi, A.; Cacault, P.; Caillier, B.; Calegaro, A.; Camargo, J.; Caminade, S.; Campana, A. P. C.; Campbell Burns, P.; Canal Domingo, R.; Carell, O.; Carreau, S.; Cascone, E.; Cattaneo, C.; Cauhape, P.; Cavier, P.; Celestin, S.; Cellino, A.; Champenois, M.; Chennaoui Aoudjehane, Hasnaa; Chevrier, S.; Cholvy, P.; Chomier, L.; Christou, A.; Cricchio, D.; Coadou, P.; Cocaign, J. Y.; Cochard, F.; Cointin, S.; Colombi, E.; Colque Saavedra, J. P.; Corp, L.; Costa, M.; Costard, F.; Cottier, M.; Cournoyer, P.; Cousta, E.; Cremonese, G.; Cristea, O.; Cuzon, J. C.; D’Agostino, G.; Daiffallah, K.; Dãnescu, C.; Dardon, A.; Dasse, T.; Davadan, C.; Debs, V.; Defaix, J. P.; Deleflie, F.; D’Elia, M.; Luca, P. de; Maria, P. de; Deverchère, P.; Devillepoix, H.; Dias, A.; Di Dato, Andrea; Di Luca, R.; Dominici, F. M.; Drouard, A.; Dumont, J. L.; Dupouy, P.; Duvignac, L.; Egal, A.; Erasmus, N.; Esseiva, N.; Ebel, A.; Eisengarten, B.; Federici, F.; Feral, S.; Ferrant, G.; Ferreo, E.; Finitzer, P.; Foucault, A.; Francois, P.; Frîncu, M.; Froger, J. L.; Gaborit, F.; Gagliarducci, V.; Galard, J.; Gardavot, A.; Garmier, M.; Garnung, M.; Gautier, B.; Gendre, B.; Gerard, D.; Gerardi, A.; Godet, J. P.; Grandchamps, A.; Grouiez, B.; Groult, S.; Guidetti, D.; Giuli, G.; Hello, Y.; Henry, X.; Herbreteau, G.; Herpin, M.; Hewins, P.; Hillairet, J. J.; Horak, J.; Hueso, R.; Huet, E.; Huet, S.; Hyaumé, F.; Interrante, G.; Isselin, Y.; Jeangeorges, Y.; Janeux, P.; Jeanneret, P.; Jobse, K.; Jouin, S.; Jouvard, J. M.; Joy, K.; Julien, F.; Kacerek, R.; Kaire, M.; Kempf, M.; Krier, C.; Kwon, M. K.; Lacassagne, L.; Lachat, D.; Lagain, A.; Laisné, E.; Lanchares, Víctor; Laskar, J.; Lazzarin, M.; Leblanc, M.; Lebreton, J. P.; Lecomte, J.; Le Dû, P.; Lelong, F.; Lera, S.; Leoni, J. F.; Le Pichon, A.; Le Poupon, P.; Leroy, A.; Leto, G.; Levansuu, A.; Lewin, E.; Lienard, A.; Licchelli, D.; Locatelli, H.; Loehle, S.; Loizeau, D.; Luciani, L.; Maignan, M.; Manca, F.; Mancuso, S.; Mandon, E.; Mangold, N.; Mannucci, F.; Maquet, L.; Marant, D.; Marchal, Y.; Marín, J. L.; Martín Brisset, J. C.; Martín, D.; Mathieu, D.; Maury, A.; Mespoulet, N.; Meyer, F.; Meyer, J. Y.; Meza, E.; Moggi Cecchi, V.; Moiroud, J. J.; Millán, M.; Montesarchio, M.; Misiano, A.; Molinari, E.; Molau, S.; Monari, J.; Monflier, B.; Monkos, A.; Montemaggi, M.; Monti, G.; Moreau, R.; Morin, J.; Mourgues, R.; Mousis, O.; Nablanc, C.; Nastasi, A.; Niacsu, L.; Notez, P.; Ory, M.; Pace, E.; Paganelli, M. A.; Pagola, A.; Pajuelo, M.; Palacián Subiela, Jesús Francisco; Pallier, G.; Paraschiv, P.; Pardini, R.; Pavone, M.; Pavy, G.; Payen, G.; Pegoraro, A.; Peña-Asensio, Eloy; Pérez, L.; Pérez-Hoyos, Santiago; Perlerin, V.; Peyrot, A.; Peth, F.; Pic, V.; Pietronave, S.; Pilger, C.; Piquel, M.; Pisanu, T.; Poppe, M.; Portois, L.; Prezeau, J. F.; Pugno, N.; Quantin, C.; Quitté, G.; Rambaux, N.; Ravier, E.; Repetti, U.; Ribas, S.; Richard, C.; Richard, D.; Rigoni, M.; Rivet, J. P.; Rizzi, N.; Rochain, S.; Rojas, J. F.; Romeo, M.; Rotaru, M.; Rotger, M.; Rougier, P.; Rousselot, P.; Rousset, J.; Rousseu, D.; Rubiera, O.; Rudawska, R.; Rudelle, J.; Ruguet, J. P.; Russo, P.; Sales, S.; Sauzereau, O.; Salvati, F.; Schieffer, M.; Schreiner, D.; Scribano, Y.; Selvestrel, D.; Serra, R.; Shengold, L.; Shuttleworth, A.; Smareglia, R.; Sohy, S.; Soldi, M.; Stanga, R.; Steinhausser, A.; Strafella, F.; Sylla, Serigne; Smedley, Andrew; Tagger, M.; Tanga, P.; Taricco, C.; Teng, J. P.; Tercu, J. O.; Thizy, O.; Thomas, J. P.; Tombelli, M.; Trangosi, R.; Tregon, B.; Trivero, P.; Tukkers, A.; Turcu, V.; Umbriaco, G.; Unda-Sanzana, Eduardo; Vairetti, R.; Valenzuela, M.; Valente, G.; Varennes, G.; Vauclair, S.; Vergne, J.; Verlinden, M.; Vidal Alaiz, M.; Vieira-Martins, Roberto; Viel, A.; Vîntdevarã, D. C.; Vinogradoff, V.; Volpini, P.; Wendling, M.; Wilhelm, P.; Wohlgemuth, K.; Zagarella, R.; Zollo, A.; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
Context. Until recently, camera networks designed for monitoring fireballs worldwide were not fully automated, implying that in case of a meteorite fall, the recovery campaign was rarely immediate. This was an important limiting factor as the most fragile - hence precious - meteorites must be recovered rapidly to avoid their alteration. Aims. The Fireball Recovery and InterPlanetary Observation Network (FRIPON) scientific project was designed to overcome this limitation. This network comprises a fully automated camera and radio network deployed over a significant fraction of western Europe and a small fraction of Canada. As of today, it consists of 150 cameras and 25 European radio receivers and covers an area of about 1.5 × 106km2. Methods. The FRIPON network, fully operational since 2018, has been monitoring meteoroid entries since 2016, thereby allowing the characterization of their dynamical and physical properties. In addition, the level of automation of the network makes it possible to trigger a meteorite recovery campaign only a few hours after it reaches the surface of the Earth. Recovery campaigns are only organized for meteorites with final masses estimated of at least 500 g, which is about one event per year in France. No recovery campaign is organized in the case of smaller final masses on the order of 50 to 100 g, which happens about three times a year; instead, the information is delivered to the local media so that it can reach the inhabitants living in the vicinity of the fall. Results. Nearly 4000 meteoroids have been detected so far and characterized by FRIPON. The distribution of their orbits appears to be bimodal, with a cometary population and a main belt population. Sporadic meteors amount to about 55% of all meteors. A first estimate of the absolute meteoroid flux (mag < -5; meteoroid size ≥∼1 cm) amounts to 1250/yr/106km2. This value is compatible with previous estimates. Finally, the first meteorite was recovered in Italy (Cavezzo, January 2020) thanks to the PRISMA network, a component of the FRIPON science project. © The Author(s), 2020.
Open Access
Invariant tori of rectilinear type in the spatial three-body problem
(Elsevier, 2024) Palacián Subiela, Jesús Francisco; Sayas Bordonaba, Flora; Yanguas Sayas, Patricia; Estadística, Informática y Matemáticas; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2
In the context of the spatial three-body problem and KAM theory, specifically in the regime where the Hamiltonian function is split as the sum of two Keplerian terms plus a small perturbation, we deal with quasi-periodic motions of the three bodies such that two of the three particles (the so-called inner bodies) describe near-collision orbits. More precisely the inner bodies never collide, but they follow orbits that are bounded straight lines or close to straight lines. The motion of the inner bodies occurs either near the axis that is perpendicular to the invariable plane (i.e. the fixed plane orthogonal to the angular momentum vector that passes through the centre of mass of the system) or near the invariable plane. The outer particle’s trajectory has an eccentricity varying between zero and a value that is upper bounded by eM 2 < 1 and lies near the invariable plane. The three bodies’ orbits fill in invariant 5-tori and when the inner particles move in an axis perpendicular to the invariable plane, they correspond to new solutions of the three-body problem. Our approach consists in a combination of a regularisation procedure with the construction of various reduced spaces and the explicit determination of sets of symplectic coordinates. The various reduced spaces we build depend on what symmetries are taken into consideration for the reduction. Moreover we apply an iso-energetic theorem by Han, Li and Yi on the persistence of quasi-periodic solutions for Hamiltonian systems with high-order proper degeneracy. All these elements allow us to calculate explicitly the torsions for the possible combinations that the three particles’ motions can achieve
Open Access
Magnetic confinement of a neutral atom in a double-wire waveguide: a nonlinear dynamics approach
(Elsevier, 2021) Salas, José Pablo; Iñarrea, Manuel; Lanchares, Víctor; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Estadística, Informática y Matemáticas
In this paper we focus on the classical dynamics of a neutral atom trapped in a doublewire waveguide in the presence of two uniform bias fields. Because the trapping region takes place in a plane perpendicular to the (parallel) wires, the dynamics is governed by a two-degrees of freedom Hamiltonian where, besides the energy, the two bias fields are the relevant system’s parameters. An exhaustive study of the critical points of the potential energy surface, their stability and bifurcations is carried out, so that, two different trapping regions are characterized. The dynamics in each of these regions is studied by applying classical perturbation theory, which provides an integrable approximation of the original Hamiltonian. The dynamics arising from this normalized Hamiltonian (stability of the equilibrium points, their bifurcations and the phase flow evolution) is then analyzed in a convenient set of phase variables. Poincaré surfaces of section to describe the structure and evolution of the phase space governed by the full Hamiltonian are also used. A complete agreement between the descriptions of the dynamics provided by the perturbation theory and the numerical studies is obtained.
Open Access
Nonlinear stability in the spatial attitude motion of a satellite in a circular orbit
(Society for Industrial and Applied Mathematics Publications, 2021) Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
The paper considers the attitude nonlinear stability analysis of the spatial satellite problem and takes it one step further. A study of the Lie (formal) stability is presented and long-time estimates related to the Lie stable cases are provided. The connection with Nekhoroshev theory is also shown. Finally, KAM tori related to Lie stable, as well as unstable equilibria, are also calculated.
Open Access
Nonlinear stability of elliptic equilibria in Hamiltonian systems with exponential time estimates
(American Institute of Mathematical Sciences (AIMS), 2021) Cárcamo Díaz, Daniela Jacqueline; Palacián Subiela, Jesús Francisco; Vidal Díaz, Claudio; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
In the framework of nonlinear stability of elliptic equilibria in Hamiltonian systems with n degrees of freedom we provide a criterion to obtain a type of formal stability, called Lie stability. Our result generalises previous approaches, as exponential stability in the sense of Nekhoroshev (excepting a few situations) and other classical results on formal stability of equilibria. In case of Lie stable systems we bound the solutions near the equilibrium over exponentially long times. Some examples are provided to illustrate our main contributions.
Open Access
Normalization through invariants in n-dimensional Kepler problems
(Pleiades Publishing, 2018) Meyer, Kenneth Ray; Palacián Subiela, Jesús Francisco; Yanguas Sayas, Patricia; Estatistika, Informatika eta Matematika; Institute for Advanced Materials and Mathematics - INAMAT2; Estadística, Informática y Matemáticas
We present a procedure for the normalization of perturbed Keplerian problems in n dimensions based on Moser regularization of the Kepler problem and the invariants associated to the reduction process. The approach allows us not only to circumvent the problems introduced by certain classical variables used in the normalization of this kind of problems, but also to do both the normalization and reduction in one step. The technique is introduced for any dimensions and is illustrated for n = 2, 3 by relating Moser coordinates with Delaunay-like variables. The theory is applied to the spatial circular restricted three-body problem for the study of the existence of periodic and quasi-periodic solutions of rectilinear type.