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372Historio > Jarcentoj > 4-a jarcento > 372
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En la jaro 372 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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367 | 368 | 369 | 370 | 371 | 372 | 373 | 374 | 375 | 376 | 377
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:372년
HistorioLa historio ampleksas ĉiujn pasintajn okazaĵojn kaj la evoluojn de homoj, popoloj, komunumoj, socioj, civilizoj, landoj, ŝtatoj,regantoj kaj regatoj. La historion studas historiologio (=scienco pri historio/historiscienco). Laŭ pri strikta difino oni nomas historion nur tion, kio estas pruvebla per dokumentoj. Tiusence, la historia tempo komenciĝis nur, kiam aperis skribitaj informoj. Tamen eblas esplori ankaŭ la antaŭan (senskriban) tempon; ĝin oni nomas antaŭhistorio aŭ prahistorio.
(NB! Por historioj de lingvo, teatro ktp., vd. je la koncernataj artikoloj.)
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:Historio de Scienco kaj Teknologio
Historiistoj (kaj historiaj pensintoj)
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Historiistaj sciencoj kaj teĥnikoj
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:Feŭdismo - Historio de Pratempo - Historio de Antikveco - Historio de Mezepoko - Kavaliro
vidu ankaŭ:
- Listo de papoj
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- (por caroj de Rusio aŭ aliaj imperiestroj, vidu ene de Listoj de Imperiestroj)
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Imperioj
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Mapoj
:[http://www.roman-emperors.org/Index.htm Eŭropo kaj Mediteraneo politike, en la jaroj 1-1500]
Vidu ankaŭ: Geografio
Diaoyu-Insularo De Ĉinio
vidu la Listo de militoj
Nuntempaj Etnoj: Vidu ĉe Etnoj
Nuntempaj Ŝtatoj: Vidu ĉe Nacioj
Okazintaĵoj
:Hipia revolto - Franca Revolucio - R.M.S. Titanic - 11-a de septembro 2001 - Koloniigado - Krucmilito - Sorĉopersekuto
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Rolantoj
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Komparu kun:
arkeologio, analo...
fiu-vro:Aolugu
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ms:Sejarah
simple:History
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JarcentojHistorio > Jarcentoj
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Jarcento ampleksas tempon de 100 jaroj.
La jarcentoj post Kristo do komenciĝas je la 1-a de januaro de jaro ..01 kaj finiĝas je la 31-a de decembro ..00. Ekzemple la 20-a jarcento daŭris de la 1-a de januaro 1901 ĝis la 31-a de decembro 2000. Tiu oficiala difino ne kongruas kun la populara difino, kiu emas festi la ŝanĝon de la jarcenta cifero en la jarnumero, ekzemple je jarŝanĝo 1999/2000.
La jarcentoj antaŭ Kristo (kiam la Gregoria kalendaro ne estis konata) komenciĝis je la 1-a de januaro de iu jaro ..00 kaj daŭris ĝis la 31-a de decembro ..01. Ekzemple la unua jarcento antaŭ Kristo komenciĝis je la 1-a de januaro -100 kaj daŭris ĝis la 31-a de decembro -1. La sekvan tagon, la 1-an de januaro 1, komenciĝis la unua jarcento post Kristo.
Jarcentoj antaŭ kaj post Kristo:
Kategorio:Tempo
ja:年表
simple:Century
4-a jarcentoHistorio > Jarcentoj: 3-a jarcento - 4-a jarcento - 5-a jarcento
Jaroj:
ja:4世紀
ko:4세기
th:คริสต์ศตวรรษที่ 4
368Historio > Jarcentoj > 4-a jarcento > 368
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En la jaro 368 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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363 | 364 | 365 | 366 | 367 | 368 | 369 | 370 | 371 | 372 | 373
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:368년
370Historio > Jarcentoj > 4-a jarcento > 370
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En la jaro 370 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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365 | 366 | 367 | 368 | 369 | 370 | 371 | 372 | 373 | 374 | 375
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:370년
373Historio > Jarcentoj > 4-a jarcento > 373
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En la jaro 373 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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368 | 369 | 370 | 371 | 372 | 373 | 374 | 375 | 376 | 377 | 378
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:373년
374Historio > Jarcentoj > 4-a jarcento > 374
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En la jaro 374 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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369 | 370 | 371 | 372 | 373 | 374 | 375 | 376 | 377 | 378 | 379
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:374년
376Historio > Jarcentoj > 4-a jarcento > 376
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En la jaro 376 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
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371 | 372 | 373 | 374 | 375 | 376 | 377 | 378 | 379 | 380 | 381
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:376년
377Historio > Jarcentoj > 4-a jarcento > 377
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En la jaro 377 post Kristo okazis, interalie:
Eventoj
Naskiĝoj
Mortoj
- Sankta Juliano Sabaso
- Sankta Basilio la Granda
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372 | 373 | 374 | 375 | 376 | 377 | 378 | 379 | 380 | 381 | 382
3-a jarcento - 4-a jarcento - 5-a jarcento
ko:377년
3-a jarcentoHistorio > Jarcentoj: 2-a jarcento - 3-a jarcento - 4-a jarcento
Jaroj:
ja:3世紀
ko:3세기
4-a jarcentoHistorio > Jarcentoj: 3-a jarcento - 4-a jarcento - 5-a jarcento
Jaroj:
ja:4世紀
ko:4세기
th:คริสต์ศตวรรษที่ 4
5-a jarcentoHistorio > Jarcentoj: 4-a jarcento - 5-a jarcento - 6-a jarcento
Jaroj:
ja:5世紀
ko:5세기
th:คริสต์ศตวรรษที่ 5
Seeing disk
Astronomical seeing refers to the blurring and twinkling of astronomical objects such as stars caused by the Earth's atmosphere. The astronomical seeing conditions on a given night at a given location describe how much the Earth's atmosphere perturbs the images of stars as seen through a telescope. The most common seeing measurement is the diameter (technically Full Width Half Maximum) of the seeing disc. The seeing disc diameter ("seeing") is a reference to the best possible angular resolution which can be achieved by an optical telescope in a long photographic exposure, and corresponds to the diameter of the fuzzy blob seen when observing a point-like star through the atmosphere. The size of the seeing disc is determined by the astronomical seeing conditions at the time of the observation. The best conditions give a seeing disc diameter of ~0.4 arcseconds and are found at high-altitude observatories on small islands such as Mauna Kea or La Palma. A detailed description of the seeing disc can be found in the FWHM of the seeing disc subsection of the following article.
Seeing is one of the biggest problems for Earth-based astronomy: while the big telescopes have theoretically milli-arcsecond resolution, the real image will never be better than the average seeing disc during the observation. This can easily mean a factor of 100 between the potential and practical resolution.
The Effects of Astronomical Seeing
Image:Zeta_bootis_short_exposure.png|Typical short-exposure negative image of a binary star (Zeta Bootis in this case) as seen through atmospheric seeing. Each star should appear as a single point, but the atmosphere causes the images of the two stars to break up into two patterns of speckles (one pattern above left, the other below right). The speckles are a little difficult to make out in this image due to the coarse pixel size on the camera used (see the simulated images below for a clearer example). The speckles move around rapidly, so that each star appears as a single fuzzy blob in long exposure images (called a seeing disc). The telescope used had a diameter of about 7r0 (see definition of r0 below, and example simulated image through a 7r0 telescope).
Astronomical seeing has several effects:
# It causes the images of point-sources (e.g. stars) to break up into speckle patterns, which change very rapidly with time (the resulting speckled images can be processed using speckle imaging)
# Long exposure images of these changing speckle patterns result in a blurred image of the point source, called a seeing disc
# The brightness of stars appears to fluctuate in a process known as scintillation or twinkling
# Atmospheric seeing causes the fringes in an astronomical interferometer to move rapidly
# The distribution of atmospheric seeing through the atmosphere (the CN2 profile described below) causes the image quality in adaptive optics systems to degrade the further you look from the location of reference star
The effects of atmospheric seeing were indirectly responsible for the belief that there were canals on Mars. In viewing a bright object such as Mars, occasionally a still patch of air will come in front of the planet, resulting in a brief moment of clarity. Before the use of charge-coupled devices, there was no way of recording the image of the planet in the brief moment other than having the observer remember the image and draw it later. This had the effect of having the image of the planet be dependent on the observer's memory and preconceptions which led the belief that Mars had linear features.
The effects of atmospheric seeing are qualitatively similar throughout the visible and near infra-red wavebands. At large telescopes the long exposure image resolution is generally slightly higher at longer wavelengths, and the timescale (t0 - see below) for the changes in the dancing speckle patterns is substantially lower.
Measures of Astronomical Seeing
There are three common descriptions of the astronomical seeing conditions at an observatory:
# The FWHM of the seeing disc
# r0 and t0
# The CN2 profile
These are described in the sub-sections below:
The FWHM of the seeing disc
Without an atmosphere, a small star would have an apparent size in a telescope image determined by diffraction and would be inversely proportional to the diameter of the telescope. However when light enters the Earth's atmosphere, the different temperature layers and different wind speeds distort the light waves leading to distortions in the image of a star. The effects of the atmosphere can be modelled as rotating cells of air moving turbulently. At most observatories the turbulence is only significant on scales larger than r0 (see below -- the seeing parameter r0 is 10-20 cm at visible wavelengths under the best conditions) and this limits the resolution of telescopes to be about the same as given by a space-based 10-20 cm telescope.
The distortion changes at a high rate, typically more frequently than 100 times a second. In a typical astronomical image of a star with an exposure time of seconds or even minutes, the different distortions average out as a filled disc called the seeing disc. The diameter of the seeing disc (technically the Full Width at Half Maximum intensity (FWHM)) is a common measure of the astronomical seeing conditions.
It follows from this definition that seeing is always a variable quantity, different from place to place, from night to night and even variable on a scale of minutes. Astronomers often talk about "good" nights with a low average seeing disc diameter, and "bad" nights where the seeing diameter was so high that all observations were worthless.
Image:Eps_aql_movie_not_2000.gif|Slow motion movie of what you see through a telescope when you look at a star at high magnification (negative images). The telescope used had a diameter of about 7r0 (see definition of r0 below, and example simulated image through a 7r0 telescope). Notice how the star breaks up into multiple blobs (speckles) -- entirely an atmospheric effect. Some telescope vibration is also noticible.
The FWHM of the seeing disc (or just Seeing) is usually measured in arcseconds, abbreviated with the symbol ("). A 1.0" seeing is a good one for average astronomical sites. The seeing of an urban environment is usually much worse. Good seeing nights tend to be clear, cold nights without wind gusts. Warm air rises (convection) degrading the seeing as does wind and clouds. At the best high-altitude mountaintop observatories the wind brings in stable air which has not previously been in contact with the ground, sometimes providing seeing as good as 0.4".
r0 and t0
The astronomical seeing conditions at an observatory can be well described by the parameters r0 and t0. For telescopes with diameters smaller than r0, the resolution of long-exposure images is inversely proportional to the telescope diameter. For telescopes with diameters larger than r0, the image resolution is independent of telescope diameter, remaining constant at the value given by a telescope of diameter equal to r0. r0 also corresponds to the length-scale over which the turbulence becomes significant (10-20 cm at visible wavelengths at good observatories), and t0 corresponds to the time-scale over which the changes in the turbulence become significant. r0 determines the spacing of the actuators needed in an adaptive optics system, and t0 determines the correction speed required to compensate for the effects of the atmosphere.
r0 and t0 vary with the wavelength used for the astronomical imaging, allowing slightly higher resolution imaging at longer wavelengths using large telescopes.
r0 is often known as the Fried parameter (pronounced freed), named after David L. Fried.
Mathematical Description of r0 and t0
David L. Fried
David L. Fried
David L. Fried
Mathematical models can give an accurate model of the effects of astronomical seeing on images taken through ground-based telescopes. Three simulated short-exposure images are shown at the right through three different telescope diameters (as negative images to highlight the fainter features more clearly -- a common astronomical convention). The telescope diameters are quoted in terms of the Fried parameter (defined below). is a commonly used measurement of the astronomical seeing at observatories. At visible wavelengths, varies from 20 cm at the best locations to 5 cm at typical sea-level sites.
In reality the pattern of blobs (speckles) in the images changes very rapidly, so that long exposure photographs would just show a single large blurred blob in the centre for each telescope diameter. The diameter (FWHM) of the large blurred blob in long exposure images is called the seeing disc diameter, and is independent of the telescope diameter used (as long as adaptive optics correction is not applied).
It is first useful to give a brief overview of the basic theory of optical
propagation through the atmosphere. In the standard classical theory,
light is treated as an oscillation in a field . For
monochromatic plane waves arriving from a distant point source with
wave-vector :
where is the complex field at position and
time , with real and imaginary parts corresponding to the electric
and magnetic field components, represents a phase offset,
is the frequency of the light determined by , and is the
amplitude of the light.
The photon flux in this case is proportional to the square of the
amplitude , and the optical phase corresponds to the complex
argument of . As wavefronts pass through the Earth's
atmosphere they may be perturbed by refractive index variations in the
atmosphere. The diagram at the top-right of this page shows schematically a turbulent layer in the
Earth's atmosphere perturbing planar wavefronts before they enter a
telescope. The perturbed wavefront may be related at any
given instant to the original planar wavefront in the following way:
where represents the fractional
change in wavefront amplitude and
is the change in wavefront phase introduced by the atmosphere. It is
important to emphasise that and
describe the effect of the Earth's
atmosphere, and the timescales for any changes in these functions will
be set by the speed of refractive index fluctuations in the atmosphere.
The Kolmogorov model of turbulence
A description of the nature of the wavefront perturbations introduced
by the atmosphere is provided by the Kolmogorov model developed
by Tatarski (1961), based partly on the studies of turbulence by the
Russian mathematician Andreï Kolmogorov
(see references below by Kolmogorov). This model is supported by a variety of
experimental measurements
(see e.g. references below by Buscher et al 1995, Nightingale and Buscher 1991, O’Byrne 1988, Colavita et al 1987) and is widely used in
simulations of astronomical imaging. The model assumes that the
wavefront perturbations are brought about by variations in the
refractive index of the atmosphere. These refractive index variations
lead directly to phase fluctuations described by , but any amplitude fluctuations are only
brought about as a second-order effect while the perturbed wavefronts
propagate from the perturbing atmospheric layer to the telescope. For
all reasonable models of the Earth's atmosphere at optical and
infra-red wavelengths the instantaneous imaging performance is
dominated by the phase fluctuations . The amplitude fluctuations described by
have negligible effect on the
structure of the images seen in the focus of a large telescope.
The phase fluctuations in Tatarski's model are usually assumed to have
a Gaussian random distribution with the following second order
structure function:
where is the
atmospherically induced variance between the phase at two parts of the
wavefront separated by a distance in the aperture
plane, and represents the ensemble average.
The structure function of Tatarski (1961) can be described in terms
of a single parameter :
indicates the strength of the phase fluctuations as it
corresponds to the diameter of a circular telescope aperture at which
atmospheric phase perturbations begin to seriously limit the image
resolution. Typical values for I band (900 nm wavelength)
observations at good sites are 20---40 cm. Fried (1965) and
Noll (1976) noted that also corresponds to the aperture
diameter for which the variance of the wavefront phase
averaged over the aperture comes approximately to unity:
This equation represents a commonly used definition for , a parameter frequently used to describe the atmospheric conditions at astronomical observatories.
can be determined from a measured CN2 profile (described below) as follows:
where the turbulence strength varies as a function of height above the telescope, and is the angular distance of the astronomical source from the zenith (from directly overhead).
The timescale t0 is simply proportional to r0 divided by the mean wind speed.
References
zenith
Much of the above text is taken (with permission) from http://www.mrao.cam.ac.uk/telescopes/coast/theses/rnt/
- BUSCHER, D. F., ARMSTRONG, J. T., HUMMEL, C. A., QUIRRENBACH, A., MOZURKEWICH, D., JOHNSTON, K. J., DENISON, C. S., COLAVITA, M. M., & SHAO, M. 1995. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1995ApOpt..34.1081B&db_key=INST Interferometric seeing measurements on Mt. Wilson: power spectra and outer scales]. Applied Optics, 34(Feb.), 1081-1096.
- COLAVITA, M. M., SHAO, M., & STAELIN, D. H. 1987. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1987ApOpt..26.4106C&db_key=INST Atmospheric phase measurements with the Mark III stellar interferometer]. Applied Optics, 26(Oct.), 4106-4112.
- FRIED, D. L. 1965. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1965OSAJ...55.1427F&db_key=AST Statistics of a Geometric Representation of Wavefront Distortion], Optical Society of America Journal, 55, 1427-1435.
- KOLMOGOROV, A. N. 1941. Dissipation of energy in the locally isotropic turbulence. Comptes rendus (Doklady) de l'Académie des Sciences de l'U.R.S.S., 32, 16-18.
- KOLMOGOROV, A. N. 1941. The local structure of turbulence in incompressible viscous fluid for very large Reynold's numbers. Comptes rendus (Doklady) de l'Académie des Sciences de l'U.R.S.S., 30, 301-305.
- NIGHTINGALE, N. S., & BUSCHER, D. F. 1991. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1991MNRAS.251..155N&db_key=AST Interferometric seeing measurements at the La Palma Observatory]. Monthly Notices of the Royal Astronomical Society, 251(July), 155-166.
- NOLL, R. J. 1976. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1976OSAJ...66..207N&db_key=INST Zernike polynomials and atmospheric turbulence]. Optical Society of America Journal, 66(Mar.), 207-211.
- O'BYRNE, J. W. 1988. [http://ukads.nottingham.ac.uk/cgi-bin/nph-bib_query?bibcode=1988PASP..100.1169O&db_key=AST Seeing measurements using a shearing interferometer]. Publications of the Astronomical Society of the Pacific, 100(Sept.), 1169-1177.
- TATARSKI, V. I. 1961. Wave Propagation in a Turbulent Medium. McGraw-Hill Books.
The CN2 profile
A more thorough description of the astronomical seeing at an observatory is given by producing a profile of the turbulence strenght as a function of altitude, called a CN2 profile. CN2 profiles are generally performed when deciding on the type of adaptive optics system which will be needed at a particular telescope, or in deciding whether or not a particular location would be a good site for setting up a new astronomical observatory. Typically, several methods are used simultaneously for measuring the CN2 profile and then compared. Some of the most common methods include:
# SCIDAR (imaging the shadow patterns in the scintillation of starlight)
# SLODAR
# RADAR mapping of turbulence
# Balloon-borne thermometers to measure how quickly the air temperature is fluctuating with time due to turbulence
There are also mathematical functions describing the CN2 profile. Some are empirical fits from measured data and others attempt to incorporate elements of theory. One common model for continental land masses is known as Hufnagel-Valley after two workers in this subject.
Overcoming Atmospheric Seeing
The first answer to this problem was speckle imaging, which allowed bright objects to be observed with very high resolution. Later came NASA's Hubble Space Telescope, working outside the atmosphere and thus not have any seeing problems and allowing observations of faint targets for the first time (although with poorer resolution than speckle observations of bright sources from ground-based telescopes because of Hubble's smaller telescope diameter). The highest resolution visible and infrared images currently come from imaging optical interferometers such as the Navy Prototype Optical Interferometer or Cambridge Optical Aperture Synthesis Telescope.
Starting in the 1990s, many telescopes have begun to develop adaptive optics systems that partially solve the seeing problem, but none of the systems so far built or designed completely removes the atmosphere effect, and observations are usually limited to a small region of the sky surrounding relatively bright stars.
Category:Astronomical_imaging
Category:Observational astronomy
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