Browsing Departament: Matemàtiques by Author "9877b860-1046-422c-947c-340d064fc6ab"
Now showing items 1-20 of 23
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A new point of view about a biparametric family of anomalies in the elliptic motion
López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José Autoeditado por comité congreso (2023-07-11)One of the main problems in celestial mechanics is the wellknown two-body problem. This problem can be studied by analytical and numerical methods. In the elliptical case, the performance of the numerical method is good ... -
A Note on the Use of Generalized Sundman Anomalies in the Numerical Integration of the Elliptical Orbital Motion
López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José Hindawi Publishing Corporation (2014-09-11)The orbital motion around a central body is an interesting problem that involves the theory of artificial satellites and the planetary theories in the solar system.Nevertheless some difficult situations appearwhile studying ... -
A possible reference to the solar corona in a contemporary report of the AD1239 eclipse
Martínez Usó, María José; Marco Castillo, Francisco José SAGE Publications (2022-10-18)The codex kept at the Arnamagnean Institute, in Copenhagen, with the number 805 4º (København, Det Arnamagnaeanske Institut, Københavns Universitet, AM 805 4º), contains a combination of texts featuring legal and short ... -
A Review of the Dall'Olmo Survey of Meteors, Meteor Showers and Meteorites in the Middle Ages from Medieval European Sources
Martínez Usó, María José; Marco Castillo, Francisco José Sage (2017-02)It is a long time since the last comprehensive compilation of meteoric observations from medieval European sources was published. Since then, the advances in information technology, search engines and, above all, the ... -
A Study about the Integration of the Elliptical Orbital Motion Based on a Special One-Parametric Family of Anomalies
López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José Hindawi Publishing Corporation (2014-02-24)This paper aimed to address the study of a new family of anomalies, called natural anomalies, defined as a one-parameter convex linear combination of the true and secondary anomalies, measured from the primary and the ... -
A Survey of Meteoric Activity over Spain during the Eighth–Fifteenth Centuries
Marco Castillo, Francisco José; Martínez Usó, María José SAGE Publications (2016)The lack of astronomical observations from Medieval and early Modern Spanish sourcesis a constant in the records of solar eclipses, meteors and other celestial phenomena. This may be partially explained by the absence of ... -
About C/539W1 and C/1245D1 as the parent comet of 15-BOOTIDS
Martínez Usó, María José; Marco Castillo, Francisco José Elsevier ScienceDirect (2021-06-10)In a recent paper published in this journal it was presented an interesting study on the 2019 outburst of the 15-Bootids and it was suggested the possibility that comet C/539W1 was the parent comet of this meteor shower. ... -
Accurate analytical and statistical approaches to reduce O-C discrepancies in the precessional parameters
Martínez Usó, María José; Marco Castillo, Francisco José; López Ortí, José Antonio The Astronomical Society of the Pacific (2009-02)The Hipparcos catalog provides a reference frame at optical wavelengths for the new International Celestial Reference System (ICRS). This new reference system was adopted following the resolution agreed at the 23rd IAU ... -
An application of modified equation to reduce some numerical instabilities
Marco Castillo, Francisco José; Martínez Usó, María José American Institute of Physics (2009)The presence of errors in the initial conditions and the different physical parameters affect to numerical integration of equations of motion necessarily. It is interesting to determine which the causes of the possible ... -
Analysis of meteoritic activity in the Vth-XVth centuries using an extended survey of European Medieval Sources
Martínez Usó, María José; Marco Castillo, Francisco José Elsevier (2018-11)The distribution of meteors streams throughout a year from the 5th to the 15th century is investigated, based on a new compilation of meteor records in the diverse European Medieval sources. The records of meteor showers ... -
Application of Vector Spherical Harmonics and Kernel Regression to the Computations of OMM Parameters
Marco Castillo, Francisco José; Martínez, M. J.; López Ortí, José Antonio The American Astronomical Society (2015-04)The high quality of Hipparcos data in position, proper motion, and parallax has allowed for studies about stellar kinematics with the aim of achieving a better physical understanding of our galaxy, based on accurate ... -
Computational tools to construct semi-analytical planetary theories
López Ortí, José Antonio; Martínez Usó, María José; Marco Castillo, Francisco José Taylor & Francis (2008)The main aim of this paper is the construction of a set of computational tools in order to improve the management of large expansions used in celestial mechanics. This package involves an iterative algorithm to develop the ... -
Fixed Point Method to Analyze Differences between Hipparcos and ICRF2
Martínez Usó, María José; Marco Castillo, Francisco José; López Ortí, José Antonio Hindawi Publishing Corporation (2014-10-14) -
Geometrical definition of a continuous family of time transformations generalizing and including the classic anomalies of the elliptic two-body problem
López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José Elsevier (2016)This paper is aimed to address the study of techniques focused on the use of a family of anomalies based on a family of geometric transformations that includes the true anomaly f, the eccentric anomaly g and the secondary ... -
Geometrical definition of a continuous family of time transformations on the hyperbolic two-body problem
López Ortí, José Antonio; Marco Castillo, Francisco José; Martínez Usó, María José Elsevier (2018-03)This paper is aimed to address the study of techniques focused on the use of a new set of anomalies based on geometric continuous transformations, depending on a parameter , that includes the true anomaly. This family ... -
Homogenization in compiling ICRF combined catalogs
Marco Castillo, Francisco José; Martínez Usó, María José; López Ortí, José Antonio EDP Sciences (2013)Context. The International Astronomical Union (IAU) recommendations regarding the International Celestial Reference Frame (ICRF) realizations require the construction of radio sources catalogs obtained using very-long-baseline ... -
Integration rules from the equivalent differential equation method applied to equations of motion
Marco Castillo, Francisco José; Martínez Usó, María José Elsevier (2008)The numerical integration of equations of motion necessarily implies the presence of errors that depend on initial conditions as well as the different physical parameters under consideration. More particularly, dumping or ... -
New and improved orbits of historical comets: Late 4th and 5th century
Marco Castillo, Francisco José; Martínez Usó, María José; Sicoli, Piero; Gorelli, Roberto Elsevier (2022-05-22)Since as early as the 19th century, many scholars have devoted themselves to the calculation of sets of orbital elements for particular historical comets. In many cases, these studies have led to proposing orbits that have ... -
Occultation of Planets by the Moon in European Narrative Medieval Sources
Martínez Usó, María José; Marco Castillo, Francisco José Sage (2019-05)Existing research dealing with astronomical observations from medieval Europe have extensively covered topics such as solar and lunar eclipses and sightings of comets and meteors, but no compilation of occultations of ... -
OSCURAUIT SOL: Stone Engravings and Other Contemporary Spanish Records for the A.D. 1239 and A.D. 1354 Eclipses and Their Astronomical Implications
Martínez Usó, María José; Marco Castillo, Francisco José; Ibáñez, Loli Sage (2016-02)The eclipse of a.d. 1239 June 3 was observed at no less than 10 sites in Europe, but the one from a.d. 1354 September 17 was observed only from two European sites. In this paper, we present several new references for the ...