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Costantino Sigismondi

Publications and source records attributed to Costantino Sigismondi.

At least 55 records · Page 3Linked to original sources
arXiv2012

High precision ground-based measurements of solar diameter in support of PICARD mission

The measurement of the solar diameter is introduced in the wider framework of solar variability and of the influences of the Sun upon the Earth's climate. Ancient eclipses and planetary transits would permit to extend the knowledge of the solar irradiance back to three centuries, through the parameter W=dLogR/dLogL. The method of Baily's beads timing during eclipses is discussed, and a significant improvement with respect to the last 40 years has been obtained by reconstructing the Limb Darkening Function's inflexion point from their light curve and the corresponding lunar valleys' profiles. The case of the Jan 15, 2010 annular eclipse has been studied in detail, as well as the last two transits of Venus. The atlas of Baily's beads, realized with worldwide contributions by IOTA members is presented along with the solar diameter during the eclipse of 2006. The transition between the photographic atlas of the lunar limb (Watts, 1963) and the laser-altimeter map made by the Kaguya lunar probe in 2009 has been followed. The other method for the accurate measurement of the solar diameter alternative to the PICARD / PICARD-sol mission is the drift-scan method used either by the solar astrolabes either by larger telescopes. The observatories of Locarno and Paris have started an observational program of the Sun with this method with encouraging results. For the first time an image motion of the whole Sun has been detected at frequencies of 1/100 Hz. This may start explain the puzzling results of the observational campaigns made in Greenwich and Rome from 1850 to 1955. The meridian line of Santa Maria degli Angeli in Rome is a giant pinhole telescope and it permits to introduce didactically almost all the arguments of classical astrometry here presented. The support to the PICARD mission continues with the analyses of the transit of Venus and the total eclipse of 2012.

astro-ph.IM↗
arXiv2012

Il Santo Sepolcro, orientamento astronomico della basilica e le omelie di san Cirillo di Gerusalemme

On the spur of Calvary the Shroud appears. On this rock the Scriptures are fulfilled, and this rock, located exactly to the West of the Temple of Jerusalem, becomes mystically the new orient, place of the Resurrection of the Lord. The alignements between the three holy places for the three monotheistic religions, the Anastasis, the Temple, now Dome of the Rock, and the Chapel of the Ascension with the East-West axis are here measured and commented both from an astronomical and topographic point of view, enlighted by the urbanistic roman concepts of Vitruvius and the catechesis of saint Cyril bishop of Jerusalem 13 years after the inauguration of the Constantinian buildings at the Holy Sepulcre.

physics.hist-ph↗
arXiv2012

L'Astronomia del Venerdi' Santo e l'ora della Sindone

The solar eclipse of Good Friday has always been recognized as a problem from the astronomical point of view. The date of Crucifixion has been investigated by many scholars and the most accredited one is friday 3 april 33, when, at sunset an eclipsed Moon rised. Few minutes later the apparition of a third star of medium magnitude stated the beginning of the sabbatical rest: before that time Jesus has been buried, wrapped into the shroud. All these topics are reviewed from an astronomical point of view with some theological considerations.

physics.hist-ph↗
arXiv2012

Dungal Letterato E Astronomo. Note di stilistica e di astronomia sulla Lettera a Carlo Magno circa le eclissi di sole dell'810

Dúngal's letter to Charlemagne on the double solar eclipse in the year 810 is extremely interesting both for its form and for its subject matter. Part I of the present study deals with the epistula as a literary work (genre, language, sources), dealing in turn with vocabulary, morphology and syntax, rythmical prose and rhetorical figures, literary and Biblical references. If we compare it with Dúngal's other works, the letter is cast in the canonical oratio structure similar to his later Responsa contra Claudium (ed. Zanna, Firenze 2002) and it is likewise based on lengthy quotations drawns from Macrobius' commentary In Somnium Scipionis. A possible echo of Vitruvius' astronomical presentation in book IX of his De architectura is suggested. Finally, we attempt to define how the author's persona as famulus et orator and reclusus at St-Denis relates to Charlemagne and to abbot Waldo in his pursuit of Chirstian wisdom based on the Bible rahter than of scholarship per se based on academic research. Part II is a thorough technical discussion of the astronomical issue presented to the Irish scholar by the Emperor, i.e. The frequency of solar eclipses and their visibility in the two emispheres in the year 810 (see maps provided). It assesses Dúngal's case in terms of eclipse theory and reviews previous comments on his letter to Charlemagne by astronomer Ismael Bullialdus (1605-1694). It also introduces us to first-hand knowledge of eclipses in history and nowadays, providing a glimpse into the complex problems tackled by the Irishman and his sources in Late Antique and in the Early Middle Ages. Ample footnotes to the Italian translation of Dúngal's work are an essential guiding tool for Latinists unfamiliar with astronomy.

physics.hist-ph↗
arXiv2012

Gerberto e la Geografia Tolemaica

The horologia are ancient ephemerides, tables of durations of the days and nights during all months of the year. The algorithms used to compute the horologia are here presented and the results are compared with the tables computed by Gerbert in the letter to Adam. The Ptolemaic geography is the framework in which Gerbert made his calculations.

physics.hist-ph↗
arXiv2012

L'Equazione del Tempo

The equation of time is fundamental for calculating the rising and setting times of the Sun. The concepts of sidereal and solar day and locak noon, we show how the length of the day depends on solar declination and Earth's orbit position, and also their influence on the local noon shift. In particular we show why in the month of July the setting time is rather constant, while the daylight reduces constantly.

astro-ph.IM↗
arXiv2012

Gerberto e l'Astronomia

Gerbert of Aurillac was Pope Sylvester II form 999 to 1003. His history is presented in order to understand his outstanding contribution in the establishment of quadrivium sciences (arithmetics, music, geometry and astronomy) in the curricula studiorum of cathedral schools and therefore of forthcoming universitates studiorum. Gerbert allowed the first sharing of arabic scientific scientific culture (e.g. Introducing in his didactic method the astrolabium, the abacus and the monochord) with Christian world participating in person to the mini-renaissance of the tenth century.

physics.hist-ph↗
arXiv2012

Development and first year of results from the heliometer of Observatorio Nacional

Recent research on global climate changes points to three distinct sources of climate disturbance: anthropogenic; natural changes in the oceans and atmosphere; and irregularities in the solar cycles. One of the most direct ways to survey an exogenous component of the climatic variability is through the measurement of variations in the diameter and shape of the solar disk. At Observatorio Nacional/MCTI, Rio de Janeiro, after several years of diameter observation using a CCD Solar Astrolabe, these measurements are now performed by a state-of-the-art Solar Heliometer. The heliometric method is one of the most successful techniques to measure small variations of angles. Its principle has been used for the latest space borne astrometric missions, aiming to milli-arcsecond precision. The success of this method relies in the fact that it minimizes the dependence of angular measurements to the thermal and mechanical stability of the instrument. However in the classic heliometer the objective is split into two halves to which is applied a linear displacement along the cut, thus still leaving room for a residual dependence with the focus, due to non-concentricity of the beams of the two images. The focus variation, as well as the effects brought by the large temperature variations during solar observations, was tackled in the Solar Heliometer by having all optical elements and their niches made on CCZ, and the telescope tube on carbon fiber, both materials of negligible thermal coefficient. Additionally, the measures are made perpendicular to the separation direction and the plate scale can be known at every time from the solar motion itself. We present the results from the first year of measurements, in special exploring the upheaval of solar activity on late 2011.

astro-ph.SR↗
arXiv2012

Gerberto e la misura delle canne d'organo

Gerbert of Aurillac in the Mensura Fistularum explained how to compute the length of organ pipes. The method is shown on two octaves, starting from a fistula of length L=16 units and radius 1 which is equivalent at a monochord of length λ=18. The adopted acoustic correction for the first octave to the Pythagorean lengths is L=λ-αr with α=2. The lower octave starts from L=36-2=34 units. The proportion 16:34=34:x is used for obtaining the next diapason. All lengths of the notes of this second octave follow this proportion and no more the additional acoustic correction. Gerbert finds the same multiplicative law for computing pipes and monochord's lengths, opportune constants allow to switch from monochord (12) to lower organ octave (14+1/3+1/144+1/288) to the higher one (13 + 1/2). The purpose of this treatise is to show the same mathematical order, given by God, below different acoustical phenomena. This is a modern perspective in history of science, because experimental data (practical acoustical corrections) are also taken into account. The treatment is limited to pipes of same diameter, and it is no conceived for organ builders. An Italian translation of the core text of the Mensura Fistularum is offered. The experimental measurement of end and mouth corrections for two pipes of different forms and for the flute is presented to support with modern acoustics approach that discussion.

physics.hist-ph↗
arXiv2012

Gerberto e le fistulae: tubi acustici ed astronomici

Gerbert of Aurillac wrote to Constantine of Fleury in 978 a letter to describe in detail the procedure to point the star nearest to the North celestial pole. This was made to align a sphere equipped with tubes to observe the celestial pole, the polar circles, the solstices and equinoxes. The use of tubes in astronomical observation is later reported by Alhazen in his treatise on optics (1011-1021). The description of pointing to the celestial pole indicates that the instrument must be accurately aligned with the true pole, materialized at that epoch by a star of fifth magnitude, at the limit of naked eye visibility, and then the instrument must remain fixed. Solstices and Equinoxes are points of the orbit of the Sun, so the sphere could be used as a tool for observing the Sun and probably determine the duration of the tropical year. This sphere was much more than a didactic tool, given the long procedure for the accurate alignement. Moreover "Rogatus a pluribus" (asked by his many students), Gerbert wrote a treatise on acoustic tubes (fistulae) in 980: Mensura Fistularum. He knew the difference in behavior of the fistulae compared with the acoustic strings, already studied by the Pythagoreans, and the treaty is intended to present the law that governs the length of the organ pipes in two octaves, compared to the corresponding acoustic strings. In terms of modern physics we know that acoustic tubes require an "end correction" to be tuned, which is proportional to the diameter of the tube. This proportionality is the same for every note. The mathematical law is simple, but Gerbert preferred to create a law in which the proportions of pipes and strings should be calculated through a series of fractions linked to the number 12 and its multiples.

physics.hist-ph↗
arXiv2012

Geometrical information on the solar shape: high precision results with SDO/HMI

The uncertainty of measurement of solar diameter is depending on the observational time scale. Full-disc images of SDO/HMI and the images from ground observations in Huairou Solar Observing Station have been analyzed to get the values of solar diameter. The satellite observations reach a very high precision, but the absolute image scale still need to be calibrated. The solar oblateness is a more challenging measurement than the diameter, since the signal amplitude is a few milli-arcseconds. It is a relative measurement, then not affected by the pixel scale calibration required by the diameter measurement. But the results are strongly dependent on the state of instrument such as focus plane deformation and on the calculation process.

astro-ph.SR↗
arXiv2012

Venus transit, aureole and solar diameter

The possibility to measure the solar diameter using the transits of Mercury has been exploited to investigate the past three centuries of its evolution and to calibrate these measurements made with satellites. This measurement basically consists to compare the ephemerides of the internal contact timings with the observed timings. The transits of Venus of 2004 and 2012 gave the possibility to apply this method, involving a planet with atmosphere, with the refraction of solar light through it creating a luminous arc all around the disk of the planet. The observations of the 2012 transit made to measure the solar diameter participate to the project Venus Twilight Experiment to study the aureole appearing around it near the ingress/egress phases.

astro-ph.SR↗
arXiv2012

Misura del diametro solare ad almucantarat zero

Among several methods for accurate measurements of solar diameter, there are transits at fixed almucantarat used in solar astrolabes. The almucantarat is a circle of given height. The horizon circle is the zero almucantarat, and data from four sunsets on the Tyrrenian sea are discussed. The angular diameter of the Sun is recovered with a few arcseconds accuracy using 60 fps video of sunsets.

astro-ph.IM↗
arXiv2012

Impatti lunari: frequenze e monitoraggio

Lunar impacts have been continuously registered by lunar seismographs from 1969 to 1978, and recently they have been also monitored by a NASA project after several observational campaigns steered by IOTA. Video and naked eye observations, with UTC synchronization, can help to identify impact candidates.

astro-ph.EP↗
arXiv2012

Solar diameter with 2012 Venus transit: history and opportunities

The role of Venus and Mercury transits is crucial to know the past history of the solar diameter. Through the W parameter, the logarithmic derivative of the radius with respect to the luminosity, the past values of the solar luminosity can be recovered. The black drop phenomenon affects the evaluation of the instants of internal and external contacts between the planetary disk and the solar limb. With these observed instants compared with the ephemerides the value of the solar diameter is recovered. The black drop and seeing effects are overcome with two fitting circles, to Venus and to the Sun, drawn in the undistorted part of the image. The corrections of ephemerides due to the atmospheric refraction will also be taken into account. The forthcoming transit of Venus will allow an accuracy on the diameter of the Sun better than 0.01 arcsec, with good images of the ingress and of the egress taken each second. Chinese solar observatories are in the optimal conditions to obtain valuable data for the measurement of the solar diameter with the Venus transit of 5/6 June 2012 with an unprecedented accuracy, and with absolute calibration given by the ephemerides. Fruitful observations can be obtained also by amateur astronomers, by following the instructions in this paper. All ground-based observations designed to achieve this goal are warmly welcome to be analyzed by the author, presently visitinig the Huairou Solar Station of National Observatories of China for observing that transit.Finally a miminal observational schedule is suggested.

astro-ph.SR↗
arXiv2012

Christopher Clavius astronomer and mathematician

The Jesuit scientist Christopher Clavius (1538-1612) has been the most influential teacher of the renaissance. His contributions to algebra, geometry, astronomy and cartography are enormous. He paved the way, with his texts and his teaching for 40 years in the the Collegio Romano, to the development of these sciences and their fruitful spread all around the World, along the commercial paths of Portugal, which become also the missionary paths for the Jesuits. The books of Clavius were translated into Chinese, by one of his students Matteo Ricci "Li Madou" (1562-1610), and his influence for the development of science in China was crucial. The Jesuits become skilled astronomers, cartographers and mathematicians thanks to the example and the impulse given by Clavius. This success was possible also thanks to the contribution of Clavius in the definition of the Ratio Studiorum, the program of studies, in the Jesuit colleges, so influential for the whole history of modern Europe and all western World.

physics.hist-ph↗
arXiv2012

The Measurement of Solar Diameter and Limb Darkening Function with the Eclipse Observations

The Total Solar Irradiance varies over a solar cycle of 11 years and maybe over cycles with longer period. Is the solar diameter variable over time too? We introduce a new method to perform high resolution astrometry of the solar diameter from the ground, through the observations of eclipses by reconsidering the definition of the solar edge. A discussion of the solar diameter and its variations must be linked to the Limb Darkening Function (LDF) using the luminosity evolution of a Baily's Bead and the profile of the lunar limb available from satellite data. This approach unifies the definition of solar edge with LDF inflection point for eclipses and drift-scan or heliometric methods. The method proposed is applied for the videos of the eclipse in 15 January 2010 recorded in Uganda and in India. The result shows light at least 0.85 arcsec beyond the inflection point, and this suggests to reconsider the evaluations of the historical eclipses made with naked eye.

astro-ph.SR↗