Abstract
Radiometry, i.e. measuring the power of electromagnetic radiation—hitherto often referred to as “photometry”—is of fundamental importance in astronomy. We provide an overview of how to achieve a valid laboratory calibration of space telescopes and discuss ways to reliably extend this calibration to the spectroscopic telescope’s performance in space. A lot of effort has been, and still is going into radiometric “calibration” of telescopes once they are in space; these methods use celestial primary and transfer standards and are based in part on stellar models. The history of the calibration of the Hubble Space Telescope serves as a platform to review these methods. However, we insist that a true calibration of spectroscopic space telescopes must directly be based on and traceable to laboratory standards, and thus be independent of the observations. This has recently become a well-supported aim, following the discovery of the acceleration of the cosmic expansion by use of type-Ia supernovae, and has led to plans for launching calibration rockets for the visible and infrared spectral range. This is timely, too, because an adequate exploitation of data from present space missions, such as Gaia, and from many current astronomical projects like Euclid and WFIRST demands higher radiometric accuracy than is generally available today. A survey of the calibration of instruments observing from the X-ray to the infrared spectral domains that include instrument- or mission-specific estimates of radiometric accuracies rounds off this review.
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Notes
In astronomy, the term photometry is often used when dealing with broadband light-level measurements; those with higher spectral resolution are called spectrophotometry. However, in general terminology of radiation measurements, photometry refers to intensity determinations that are relevant to human vision. Therefore, we have chosen to use the terms radiometry or spectroradiometry, which apply to measurements in the entire electromagnetic spectrum, in this paper. To avoid confusion, we use the term “(astronomical) photometry” when discussing results of the photometry method of astronomy.
If an object is not spatially resolved, irradiance, I, the detected power per unit area (with unit symbol W m\(^{-2}\); often, loosely, called radiative flux) is measured. Spectral irradiance refers to the irradiance per energy (or wavelength) interval at a given energy (or wavelength). Radiance, R, is the power per unit area per unit solid angle, with unit symbol W m\(^{-2}\) sr\(^{-1}\) [cf., The International System of Units (SI), Brochure, 8th edition (2006, updated in 2014), Bureau International des Poids et Mesures (BIPM) http://www.bipm.org/en/publications/si-brochure]. Spectral radiance refers to the radiance per energy (or wavelength) interval at a given energy (or wavelength), with unit symbol W \(\hbox {m}^{-2}\hbox { sr}^{-1}\hbox { eV}^{-1}\) (or W \(\hbox {m}^{-2} \hbox { sr}^{-1}\hbox { nm}^{-1}\)). If the distance, d, to a uniformly emitting object of area, S, is known, then the irradiance is related to the radiance by \(I = R (S/d^{2})\).
The effective area of a spectroradiometric instrument is the collecting area of an instrument with loss-free optical elements, i.e. with perfect reflections, diffraction or dispersion efficiency as well as detector efficiency.
These should not be confused with the primary laboratory standards described in Sect. 2.1.
Gaia was launched on 19 December 2013 and began its 5-year science phase on 29 July 2014. For its progress follow http://sci.esa.int/gaia.
In spite of grazing-incidence optics being much less sensitive to contamination and, therefore, having a better radiometric stability, normal-incidence instrumentation is usually preferred—at least as long as surfaces with sufficient reflectivity are available, because the optical design of normal-incidence optics is considerably less difficult.
By adding airglow and auroral-emission monitoring, the impact of space weather on the terrestrial thermosphere/ionosphere can be studied as well, and used to investigate real-time space weather effects. This in turn helps to derive detailed correction procedures for the evaluation of global navigation satellite system signals.
Unless otherwise indicated, all uncertainties in this paper are given in terms of one standard deviation, i.e. 68 % confidence limit (coverage factor \(k=1\)).
The Bureau International des Poids et Mesures (BIPM, http://www.bipm.fr) has the mandate to provide the basis for a single, coherent system of measurements—traceable to the International System of Units (SI)—throughout the world. The Bureau was set up by the Convention of the Metre and operates under the exclusive supervision of the Comité International des Poids et Mesures (CIPM). The Committee’s principal task is to ensure worldwide uniformity in units of measurement, particularly between national measurement standards, but the CIPM also takes on the more fundamental task to arrange for and monitor comparisons that determine the accuracies with which the individual primary standards are realised.
The US National Institute of Science and Technology (earlier National Bureau of Standards, NBS).
An additional concept, viz., having emission transfer standards on the International Space Station (ISS), or on a small calibration satellite orbiting the Earth, with the purpose of calibrating co-orbiting satellites in the extreme-ultraviolet range has been suggested (Smith et al. 1991).
In contrast to the cryogenic electrical substitution radiometers, where corrections covering non-ideal performance nearly vanish owing to the low operating temperature, ESRs used at higher temperatures require a careful evaluation of outside influences, such as heating of baffles. Besides, for ESRs to be used in space, such tests are complex.
Spectroradiometric calibrations—at the time called determining the “spectral energy distribution” (SED) of stars—had been performed starting in the 1910s with visual and photographic comparisons with assumed stellar models. Direct comparisons with calibrated standard lamps started at the end of the 1930s at Ann Arbor and continued in the 1940s with extensions to the infrared, and by going to higher altitude, for example at Jungfraujoch, into the ultraviolet as well. The results were usually expressed as colour temperatures and in magnitudes (see, for example, Code 1960).
The Oxford group had been working on precision laboratory astrophysics early on. In the 1970s, they experimentally determined transition probabilities with one-percent accuracies, when such measurements normally had uncertainties of \(\pm 10~\%\) or more. Not surprisingly then, Blackwell chose the topic of “Uncertainty in Astronomy” for his Presidential Address to the Royal Astronomical Society (Blackwell 1975).
In reviewing the literature relating to a potential variability of Vega, Bohlin (2014) came to the conclusion that there was not enough support for this claim. Nevertheless, Butkovskaya et al. (2011) and Butkovskaya (2014) did not exclude a long-term variability of Vega. The conclusion was that a (very minor) 21-year variability is “most probable”. Böhm et al. (2015) have recently observed starspots on Vega.
“Spectroradiometrically” in our terminology.
As pointed out before, Vega has now been replaced by the primary standard stars 109 Vir in the visible and by Sirius (\(\alpha \) CMa) in the infrared, cf., Engelke et al. (2010).
Cf., http://hubblesite.org/the_telescope/team_hubble/servicing_missions.php#sm4, as well as the caption of Fig. 9. Note, however, that HST was not the first scientific satellite to be repaired in orbit. At launch in 1973, the Skylab space station had lost a so-called micrometeorid shield during launch. This shield would also have been a thermal shield of the astronauts’ living space. Upon their arrival at Skylab, the first crew was able to mount and deploy a heat shade, which saved the mission. In 1984, the Solar Maximum Mission also underwent repair in orbit, when it was visited by the space shuttle Challenger. Another example of a data gap stems from the SOHO mission, which experienced an intermediate time-out as well. Contact with the spacecraft was lost in August 1998 after a sequence of incorrect commands during what should have been a routine manoeuvre. Four weeks later, a powerful radar signal from Earth produced a faint echo from the spacecraft indicating that SOHO had not drifted away from its position in its L1-halo orbit after loss of contact. It was slowly rotating and angled in such a way that sunlight was going to fall on its solar cells during the following months. Normal operations could then be resumed after an extended turn-on and test period. The responsivity of many instruments had changed—out-baking in the absence of thermal control had, in fact, improved the responsivity of some instruments (cf., Pauluhn et al. 2002). In this context, we recall the earlier mentioned reference about the outgassing of a spacecraft after launch (Schläppi et al. 2010).
The US National Bureau of Standards, now called National Institute of Standards and Technology (NIST).
The idea that “if we accept that theoretical predictions should be correct ...” was later followed, and has been guiding the calibration of IUE and HST up to today. Improvements of the models (improved gravity values, non-LTE calculations, for example) which have taken place in the mean time will be mentioned below.
This recommendation, with an extension into the infrared, was made in view of the STIS, which covered the wavelength range 115 nm to \(1\,\upmu \hbox {m}\) and was eventually installed on board HST during SM 2 in 1997. The data for the longer wavelengths were based on observations by Oke (1990) with the 5.1 m Hale telescope on Palomar Mountain that were later slightly corrected by use of HST FOS observations (Colina and Bohlin 1994).
Note that the Astrophysics Data System ADS gives access to all papers in a series, whenever one calls up one of the individual papers.
Updated general information on IACHEC is available on the web site http://web.mit.edu/iachec/. Results of the IACHEC collaboration are published as refereed papers and made accessible through http://web.mit.edu/iachec/papers/.
Additionally, it carried a Gamma-Ray Burst Monitor (GRBM) of four CsI(Na) scintillators that were also used as active lateral shields of the PDS experiment. Its calibration is described by Amati et al. (1997).
Orbiting Retrievable Far and Extreme Ultraviolet Spectrometers, 1993 and 1996 on the Astro-SPAS, a reusable shuttle-launched space platform (Grewing et al. 1998).
IUE data are available from the Mikulski Archive for Space Telescopes (MAST), http://archive.stsci.edu/iue.
The two web sites http://www.nasa.gov/mission_pages/hubble/main/index.html and http://www.spacetelescope.org/about/general/instruments/ give an in-depth overview of HST, its history and its instruments.
Chopping and nodding in perpendicular direction, used to reduce background signal in particular for point-source photometry.
These bands are centred around the wavelengths \(56\,\upmu \hbox {m}, 100\,\upmu \hbox {m}\) and \(160\,\upmu \hbox {m}\), respectively. An in-depth description of the filter bandpasses and how they have to be used in comparison with other instruments can be found on the PACS calibration web sites http://herschel.esac.esa.int/twiki/bin/view/Public/PacsCalibrationWeb.
Preliminary results had indicated some discrepancy to WMAP, which could be eliminated by improved data analysis; for updated information, see the webpages of the Planck Collaboration http://www.cosmos.esa.int/web/planck/publications.
The corresponding references are accessible through the webpage http://www.pmodwrc.ch/pmod.php?topic=tsi/composite/SolarConstant.
Taken during the Atmospheric Laboratory for Applications and Science (ATLAS) Space Shuttle missions ATLAS 1, March 1992, and ATLAS 3, November 1994.
Note, however, that apertures and stops in the instrument itself were not taken into account in this way.
UVCS is a coronagraph with external and internal occulters. Adjustment of the latter, which is done to reduce the level of scattered light, changes the aperture.
The Lockheed Martin Advanced Technology Center recently changed its name to Space Technology Advanced Research and Development Laboratories, or STAR Labs.
See also http://secchi.lmsal.com/EUVI/.
The MEGS-A had to be turned off due to a failure of its CCD electronics in May 2014.
Abbreviations
- AKARI :
-
Japanese space mission for infrared astronomy, formerly Astro-F
- ANS :
-
Astronomical Netherlands Satellite
- AXAF :
-
Advanced X-ray Astrophysics Facility, now Chandra
- BeppoSAX :
-
Italian–Dutch satellite for X-ray astronomy
- Chandra :
-
X-ray observatory, formerly AXAF
- COBE :
-
Cosmic Background Explorer
- CXO :
-
Chandra X-ray observatory
- Euclid :
-
Future ESA mission to map the geometry of the dark Universe
- EUVE :
-
Extreme Ultraviolet Explorer
- EXOSAT :
-
European X-ray Observatory Satellite
- FUSE :
-
Far-Ultraviolet Spectroscopic Explorer
- Gaia :
-
ESA astrometry mission
- GALEX :
-
Galaxy Evolution Explorer
- Herschel :
-
ESA infrared and sub-millimetre telescope mission
- Hinode :
-
Solar observatory, formerly Solar-B
- HST :
-
Hubble Space Telescope
- IRAS :
-
Infrared Astronomy Satellite
- IRIS :
-
Interface Region Imaging Spectrograph
- IRTS :
-
Infrared Telescope in Space
- ISO :
-
Infrared Space Observatory
- ISS :
-
International Space Station
- IUE :
-
International Ultraviolet Explorer
- JWST :
-
James Webb Space Telescope
- MSX :
-
Midcourse Space Experiment
- NuSTAR :
-
Nuclear Spectroscopic Telescope Array
- OAO :
-
Orbiting Astronomical Observatory
- ORFEUS :
-
Orbiting Retrievable Far and Extreme Ultraviolet Spectrometer
- OSO :
-
Orbiting Solar Observatory
- Planck :
-
ESA mission for microwave astronomy
- RHESSI :
-
Reuven Ramaty High-Energy Solar Spectroscopic Imager
- ROSAT :
-
Röntgensatellit
- Rosetta :
-
ESA mission to comet 67P/Churyumov–Gerasimenko
- RXTE :
-
Rossi X-ray Timing Explorer
- SDO :
-
Solar Dynamics Observatory
- Skylab :
-
NASA space station
- SMEX :
-
Small Explorer Mission
- SMM :
-
Solar Maximum Mission
- SNOE :
-
Student Nitric Oxide Explorer
- SOHO :
-
Solar and Heliospheric Observatory
- SORCE :
-
Solar Radiation and Climate Experiment
- Spacelab :
-
Laboratory for use on Space Shuttle flights
- SPARTAN :
-
Shuttle-launched satellites for solar studies
- Spitzer :
-
Space Infrared Telescope Facility
- STEREO :
-
Solar Terrestrial Relations Observatory
- STS :
-
Space Transportation System
- Suzaku :
-
Japanese X-ray astronomy mission, formerly Astro-E2
- Swift :
-
NASA Gamma-Ray Burst Mission
- TD-1 :
-
ESA UV mission
- TIMED :
-
Thermosphere, Ionosphere and Mesosphere Energetics and Dynamics mission
- TRACE :
-
Transition Region and Coronal Explorer
- UARS :
-
Upper Atmosphere Research Satellite
- Voyager :
-
NASA planetary and interstellar mission (two spacecraft, Voyager-1 and Voyager-2)
- WFIRST :
-
Wide-Field Infrared Survey Telescope
- WMAP :
-
Wilkinson Microwave Anisotropy Probe
- XMM-Newton :
-
X-ray Multi-Mirror Mission
- Yohkoh :
-
Solar X-ray observatory
- 2MASS:
-
Two Micron All Sky Survey
- ACCESS:
-
Absolute Color Calibration Experiment for Standard Stars
- ACIS:
-
Advanced CCD Imaging Spectrometer
- ACRIM:
-
Active Cavity Radiometer Irradiance Monitor
- ACS:
-
Advanced Camera for Surveys
- ADS:
-
Astrophysics Data System
- AIA:
-
Atmospheric Imaging Assembly
- ALS:
-
Advanced Light Source
- APS:
-
Active pixel sensor
- ASM:
-
All-Sky Monitor
- ATLAS:
-
Atmospheric Laboratory for Applications and Science, on the Space Shuttle
- ATM:
-
Apollo Telescope Mount
- BCS:
-
Bragg Crystal Spectrometer and bent crystal spectrometer
- BESSY:
-
Berlin Electron Storage ring for Synchrotron radiation
- BIPM:
-
Bureau International des Poids et Mesures
- CALSPEC:
-
Calibration data base for the HST and the JWST, maintained by the STScI
- CCD:
-
Charge-coupled device
- CDS:
-
Coronal Diagnostic Spectrometer
- CHIANTI:
-
An atomic database for spectroscopic diagnostics of astrophysical plasmas
- CIPM:
-
Comité International des Poids et Mesures
- CMB:
-
Cosmic Microwave Background
- CME:
-
Coronal mass ejection
- CNES:
-
Centre National d’Etudes Spatiales
- COS:
-
Cosmic Origins Spectrograph
- CSL:
-
Centre Spatial de Liège
- CTE:
-
Charge transfer efficiency
- DIARAD:
-
Differential Absolute Radiometer
- ECR:
-
Electrically calibrated radiometer
- EGS:
-
Extreme-ultraviolet Grating Spectrograph
- EIS:
-
EUV Imaging Spectrometer
- EIT:
-
Extreme-ultraviolet Imaging Telescope
- EPIC:
-
European Photon Imaging Camera
- ESA:
-
European Space Agency
- ESP:
-
EUV spectro-photometer
- ESR:
-
Electrical substitution radiometer
- EUNIS:
-
Extreme-Ultraviolet Normal Incidence Spectrograph
- EUV:
-
Extreme ultraviolet
- EUVI:
-
EUV Imager
- EVE:
-
Extreme ultraviolet Variability Experiment
- FIR:
-
Far infrared
- FIRAS:
-
Far Infrared Absolute Spectrophotometer
- FIS:
-
Far Infrared Surveyor
- FOC:
-
Faint Object Camera
- FOS:
-
Faint Object Spectrograph
- FOV:
-
Field of view
- FTS:
-
Fourier transform spectrometer
- FUV:
-
Far ultraviolet
- FWHM:
-
Full width at half maximum
- GEANT:
-
Geometry and Tracking, a high-energy photon and particle transport code
- GI:
-
Grazing incidence
- GIS:
-
Grazing incidence spectrometer
- GRBM:
-
Gamma-ray Burst Monitor
- GSFC:
-
Goddard Space Flight Center
- HEASARC:
-
High-Energy Astrophysics Science Archive Research Center
- HETG:
-
High-Energy Transmission Grating
- HEXTE:
-
High-Energy X-ray Timing Experiment
- HF:
-
Hickey–Frieden radiometer on NIMBUS-7
- HFI:
-
High-Frequency Instrument
- HI:
-
Heliospheric Imager
- HIFI:
-
Heterodyne Instrument for the Far Infrared
- HMI:
-
Helioseismic and Magnetic Imager for SDO
- HPGSPC:
-
High-Pressure Gas Scintillator Proportional Counter
- HRC:
-
High-Resolution Camera
- HRI:
-
High-Resolution Imager
- HRMA:
-
High-Resolution Mirror Assembly
- HRTS:
-
High-Resolution Telescope and Spectrograph
- HUT:
-
Hopkins Ultraviolet Telescope
- HXD:
-
Hard X-ray Detector
- HXT:
-
Hard X-ray Telescope
- IACHEC:
-
International Astronomical Consortium for High-Energy Calibration
- IAS:
-
Institut d’Astrophysique Spatiale
- IAU:
-
International Astronomical Union
- IR:
-
Infrared
- IRC:
-
InfraRed Camera
- ISAS:
-
Institute of Space and Astronautical Science, Japan
- ISSI:
-
International Space Science Institute
- JAXA:
-
Japan Aerospace Exploration Agency
- KAO:
-
Kuiper Airborne Observatory
- \(\mathrm {\Lambda }\)AMBDA:
-
Legacy Archive for Microwave Background Data Analysis
- LASCO:
-
Large Angle Spectroscopic Coronagraph
- LASP:
-
Laboratory for Atmospheric and Space Physics
- LECS:
-
Low-Energy Concentrator Spectrometer
- LETG:
-
Low-Energy Transmission Grating
- LFI:
-
Low-Frequency Instrument
- LMSAL:
-
Lockheed Martin Solar and Astrophysics Laboratory
- LTE:
-
Local thermodynamic equilibrium
- MAST:
-
Mikulski Archive for Space Telescopes
- MCP:
-
Microchannel plate
- MECS:
-
Medium Energy Concentrator Spectrometer
- MEGS:
-
Multiple EUV Grating Spectrograph
- MIR:
-
Mid infrared
- MIT:
-
Massachusetts Institute of Technology
- MLS:
-
Metrology Light Source
- MOS:
-
Metal oxide semiconductor
- MPE:
-
Max-Planck-Institut für extraterrestrische Physik
- MPG:
-
Max-Planck-Gesellschaft
- MPS:
-
Max-Planck-Institut für Sonnensystemforschung, formerly Max-Planck-Institut für Aeronomie (MPAE)
- MSFC:
-
Marshall Space Flight Center
- MUV:
-
Medium ultraviolet
- NASA:
-
National Aeronautics and Space Administration (US)
- NBS:
-
National Bureau of Standards, now NIST
- NI:
-
Normal incidence
- NIR:
-
Near infrared
- NIRSpec:
-
Near infrared multiobject dispersive spectrograph to be flown on the JWST
- NIS:
-
Normal incidence spectrometer
- NISP:
-
Near-infrared Spectrograph and Photometer on Euclid
- NIST:
-
National Institute of Standards and Technology (US)
- NLTE:
-
Non-local thermodynamic equilibrium
- NRL:
-
Naval Research Laboratory
- NUV:
-
Near ultraviolet
- PACS:
-
Photodetector Array Camera and Spectrometer for Herschel
- PANTER:
-
X-ray test facility near München, Germany
- PCA:
-
Proportional Counter Array
- PDS:
-
Phoswich Detection System
- PMOD/WRC:
-
Physikalisch-Meteorologisches Observatorium Davos / World Radiation Center
- PSF:
-
Point spread function
- PSI:
-
Paul Scherrer Institut
- PSPC:
-
Position Sensitive Proportional Counters
- PTB:
-
Physikalisch-Technische Bundesanstalt
- QCM:
-
Quartz-crystal micro balance
- QE:
-
Quantum efficiency
- RAL:
-
Rutherford Appleton Laboratory
- RaMCaF:
-
Rainwater Memorial Calibration Facility
- RCSS:
-
Radiometric calibration spectral source
- RMC:
-
Rotation Modulation Collimator
- SAA:
-
South Atlantic Anomaly
- SAO:
-
Smithsonian Astrophysical Observatory
- SARR:
-
Space absolute radiometric reference scale
- SDD:
-
Silicon drift detector
- SECCHI:
-
Sun Earth Connection Coronal and Heliospheric Investigation
- SED:
-
Spectral energy distribution
- SEE:
-
Solar EUV Experiment
- SEM:
-
Solar Extreme-ultraviolet Monitor
- SERTS:
-
Solar Extreme-ultraviolet Research Telescope and Spectrograph
- SI:
-
Système International d’Unités, International System of Units
- SIM:
-
Spectral Irradiance Monitor
- SIRS:
-
Solar irradiance reference spectra
- SM1(2,3,4):
-
HST Servicing Missions
- SN:
-
Supernova
- SolACES:
-
Solar Auto-Calibrating EUV/UV Spectrophotometer
- SOLSTICE:
-
Solar-Stellar Irradiance Comparison Experiment
- SOT:
-
Solar Optical Telescope
- SPIRE:
-
Spectral and Photometric Imaging Receiver
- SSI:
-
Solar spectral irradiance
- STIS:
-
Space Telescope Imaging Spectrograph
- STScI:
-
Space Telescope Science Institute
- SUMER:
-
Solar Ultraviolet Measurements of Emitted Radiation
- SURF:
-
Synchrotron Ultraviolet Radiation Facility
- SUSIM:
-
Solar Ultraviolet Spectral Irradiance Monitor
- SXT:
-
Soft X-ray Telescope
- TCF:
-
Telescope Calibration Facility (NIST)
- TIM:
-
Total Irradiance Monitor
- TSI:
-
Total solar irradiance
- UKSA:
-
United Kingdom Space Agency
- UV:
-
Ultraviolet
- UVCS:
-
Ultraviolet Coronagraph Spectrometer
- VIRGO:
-
Variability of Solar Irradiance and Gravity Oscillations
- VUV:
-
Vacuum ultraviolet
- WBS:
-
Wide Band Spectrometer
- WD:
-
White Dwarf
- WFC:
-
Wide Field Camera
- XACT:
-
X-ray Astronomy Calibration and Testing, Palermo, Italy
- XIS:
-
X-ray Imaging Spectrometer
- XPS:
-
XUV Photometer System
- XRCF:
-
X-ray and Cryogenics Facility, NASA MSFC
- XRS:
-
X-ray Spectrometer
- XRT:
-
X-ray Telescope
- XUV:
-
Extreme ultraviolet
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Acknowledgments
The authors sincerely thank K. Bennett, C. T. Bingham, R. C. Bohlin, D. J. Coletti, T. Dudok de Wit, C. Fröhlich, L. D. Gardner, A. Gottwald, U. Grothkopf, J. B. Holberg, J. Hollandt, C. V. H. Huber-Ott, F. Jansen, C. Jones, E. M. Kellogg, R. M. Klein, J. L. Kohl, J. W. Kruk, M. Kühne, X. Liu, R. Paladini, W. H. Parkinson, G. Schmidtke, J. G. Timothy, G. Ulm, K. Wilhelm, C. Winkler and B. J. Wargelin for illuminating discussions, reference material, both published and unpublished, and other assistance. PLS thanks the Space Science Department of ESA for travel support. He was also supported in part by NASA Grants NAGW-1596, and SOHO, and SPARTAN grants.
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Pauluhn, A., Huber, M.C.E., Smith, P.L. et al. Spectroradiometry with space telescopes. Astron Astrophys Rev 24, 3 (2016). https://doi.org/10.1007/s00159-015-0086-2
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DOI: https://doi.org/10.1007/s00159-015-0086-2