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--- song_science [2023/08/03 23:07] – [SONG results so far] jasonj
+++ song_science [2023/08/05 14:43] (current) – [How asteroseismology works] jasonj
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 ====== SONG Science ======
-A detailed understanding of stars underpins much of astrophysics. Stars are the most fundamental astrophysical objects, they are the basic constituents of galaxies, and, to a large extent, the overall properties of the universe are controlled by their evolution.  Stars are huge balls of gas, and turbulent motions within them generate sound waves that cause the majority of them to wobble and ring like bells. The measurement and analysis of these acoustic oscillations is the only way to peer into the interior of a star.  We propose to acquire and assemble a telescope and spectrograph instrument that will be part of a world-wide network dedicated to `listening' to stars 24 hours per day. Constant monitoring is the only way to directly observe the workings of their interiors.
+A detailed understanding of stars underpins much of astrophysics. Stars are the most fundamental astrophysical objects, they are the basic constituents of galaxies, and, to a large extent, the overall properties of the universe are controlled by their evolution.  Stars are huge balls of gas, and turbulent motions within them generate sound waves that cause the majority of them to wobble and ring like bells. The measurement and analysis of these acoustic oscillations is the only way to peer into the interior of a star.  SONG in New Mexico will acquire and assemble a telescope and spectrograph instrument that will be part of a world-wide network dedicated to `listening' to stars 24 hours per day. Constant monitoring is the only way to directly observe the workings of their interiors.
+===== Science goals with SONG =====
+A tremendous amount of physics has been learned about the Sun from helioseismology, but the Sun provides only a single example of stellar structure at a single snapshot in evolution. Detailed asteroseismic observations of other stars will greatly extend the range of crucial interior physics that can be sampled and understood. Furthermore, precise knowledge of stars leads to better characterization of the planets that many of them host {[huber2019]}.
+Correspondingly, the two broad science goals of the SONG network are to
+  - perform asteroseismology to study stars at a level of detail similar to what can be obtained for the Sun with disk-integrated observations;
+  - search for and characterize planets in orbit around other stars.
+Enabling nearly-continuous, high-precision data on bright stars from a global network offers the opportunity to carry out many types of studies, such as:
+  *  extend tests of stellar evolution models to other stars
+  *  precise characterization of exoplanet host stars
+  * understand the effects and evolution of internal stellar rotation
+  * study the structure and age of low-metallicity and low-mass stars
+  *  understand the dependence of the excitation of solar-like oscillations on stellar parameters
+  * test asteroseismic scaling relations with eclipsing binaries.
 ===== Background: seismology of stars and stellar astrophysics =====
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  The analysis of radial-velocity modulations caused by solar-like oscillations requires ultra high-precision measurements, of the order of 1 m/s, with time series of several days to weeks, or often more. Temporal coverage also has a strong impact on seismic measurements, needing to be nearly continuous to avoid frequency aliases in the Fourier domain.  Currently, very few instruments are capable of reaching the necessary precision, and these are in high demand, making it difficult to obtain enough telescope time to perform these critical asteroseismic studies. SONG overcomes these difficulties using a growing network of observatories dedicated to asteroseismology.
-===== SONG project status =====
-{{ :wiki:song_network.png?direct&500}}
+===== How asteroseismology works =====
+We focus on stars that pulsate like our Sun in what follows, both for simplicity and because the interpretation of the data is much more advanced than for other types of pulsators. Such solar-like oscillators need not be solar-type, main-sequence stars at all; for example, almost all red giants, such as the bright Aldebaran {[farr2018]}, display solar-like oscillations. They are the result of acoustic pressure waves that are excited to small, yet observable amplitudes by near-surface turbulent convection {[goldreich1977]}.  These stars, therefore,  must have an outer convection zone, with effective (surface) temperature below about 7000K, corresponding to an upper mass of about 1.5 solar masses on the main sequence and spectral types later than mid-F. For evolved  subgiants and giants, G, K, and M stars are most typical (and masses can exceed 1.5 solar masses).
+{{ :science:four_modes.gif?direct|}}
+The oscillations are global modes in a star, which distort the stellar surface with a spatial pattern that can usually be described by spherical harmonics, resulting in luminosity and radial-velocity variations. The figure shows 4 examples, where the red and blue denote the (highly exaggerated) distortion of the particular part of the surface, and white are nodes (no distortion). Cancellation effects due to the point-source nature of distant stars only allow for observations of the lowest spherical harmonic degrees (L=0 - 3). In the figure, the top 2 animations are for L=1 and L=3, which would be observable. The other two (L=6 and L=10, would not be). Power spectra of a time series of a solar-like oscillator show a comb-like structure of peaks within a broad acoustic mode envelope that has a maximum amplitude at some temporal frequency. This can range from about 20 μHz (half a day period) for evolved giants to a few thousand μHz (periods of minutes) for dwarfs.  The comb pattern has peaks that are evenly spaced in frequency, whereby frequency differences between modes of consecutive radial order n and the same spherical degree L are known as the large frequency spacing.
+These observed modal properties are often interpreted in terms of the asymptotic theory of stellar oscillations {[tassoul1980]}. In this case, the large frequency spacing is related to the sound crossing time of an acoustic wave across the star, and therefore scales with the mean density. An empirically-motivated relationship connects the frequenc of maximum power with the surface gravity and effective temperature {[brown1991]}. When these two relations are combined, scaling relations for a star's mass and radius can be derived {[kjeldsen1995]}
+Other types of modes provide even more powerful diagnostics of interior conditions. In subsurface convectively-stable regions of stars, such as the cores of red giants, low-frequency gravity modes are excited. While they are not visible at the surface, they can interact and `mix' with acoustic modes and impart new information in the power spectrum. New frequency spacings appear, which can be used as diganostics of the core region, capable of providing the evolutionary state or inferring the core rotation rate.
+All of the above may be considered as a broad application of asteroseismic analysis of global observables. SONG will go much further than applying the scaling relations. It will provide very precise individual mode frequencies for more modes than space photometry can, including mixed modes, L=3 modes, and modes split into multiplets by internal rotation.  In fact, the relative amplitudes of the frequency multiplets can be used to measure the inclination of the stellar rotation axis {[gizon2003]}. In any case, the measured frequencies can then be confronted with the frequencies predicted from sophisticated numerical models. The result is a deeper understanding of all of the interior stellar properties and evolutionary state of stars.
+===== Why do we need a global network?  =====
+Asteroseismology is a time-domain science and data analysis is carried out in  the temporal frequency (Fourier) domain. Analysis is most successful when the power spectrum of the time series shows oscillation modes at distinct frequencies that can be identified (guided by models or empirical relations) according to their radial order and spherical harmonic degree. This requires sufficient duration to resolve the modes in frequency space, as well as ample sampling to capture the highest frequencies: both of these criteria are straightforward to meet in practice, even from a single location.
-SONG is planned as a network of eight fully-robotic 1-m telescopes that will carry out near-continuous, high-precision radial-velocity  measurements of bright stars. The telescopes are to be equipped with nearly identical optical spectrographs capable of reaching a  precision of 1 m/s per exposure on stars down to a visible magnitude of M_V=6. The nodes in the network are  distributed in longitude to be able to continuously monitor stars and avoid the day/night cycle. The figure highlights the site locations.  SONG is modeled  after the the six-station Birmingham Solar Oscillations Network (BISON) and the Global Oscillation Network Group (GONG), which have both very successfully studied the Sun with helioseismology for over 25 years {[hale2016,kiefer2021]}. SONG is a highly cost-effective and innovative next step forward for asteroseismology.
+However, regular gaps in the data (such as from the day/night cycle) cannot be overcome by simply observing longer or more often, and lead to a sampling (window) function that is not optimal. The Fourier transform of this function is known as the spectral window. The power spectrum of the target star is thus effectively a convolution of this spectral window and the true underlying oscillation spectrum. For gapped data, the spectral window introduces alias frequencies into the power spectrum that do not correspond to real frequencies, wreaking havoc with the analysis. That is why, before SONG, solar-like oscillations had only been detected in a handful of stars from the ground using ad-hoc networks or large telescopes, and Herculean analysis efforts {[bedding2007,arentoft2008,bedding2008]}.
-SONG was conceived and is led by collaborators in the Department of Physics and Astronomy at Aarhus University in Denmark. That group spearheaded the development of the high-precision spectrograph instrumention, which was ultimately realized at the prototype facility at the Observatorio del Teide in the Canary Islands on  Tenerife, Spain. SONG-Tenerife has been operating since 2014 and consists of the Hertzsprung-SONG Telescope. A second node has recently been built at the Mt. Kent Observatory in Queensland, Australia and is undergoing commissioning as of January 2022. A third node is under construction at a new observatory in Lenghu, China, and is scheduled to be operational by  2024. As the figure demonstrates, SONG in New Mexico will be a crucial bridge for the global network, providing required longitudinal coverage to continuously monitor stars.
+{{ :science:window_effect.png?direct |}}
+The figure above demonstrates this issue by contrasting observations from idealized  two- or three-site networks. Space-based Sun-as-a-star velocity data (for which we have very long,  uninterrupted time series), mimicking a distant pulsating star,  were used to construct a one-month long time series with a one-minute sampling.  Regular gaps of 8 hours were introduced every 24 hours to simulate a network of two sites, while no  regular gaps are present in the idealized three-site network. The resulting power spectra and spectral windows are shown in the figure. Since the two-site spectral window has aliasing frequencies at 1 cycle/day =11.57 μHz and its overtones (right panel), each peak in the corresponding power spectrum is surrounded by false peaks. These peaks can interfere with neighboring modes, causing contamination {[arentoft2014]}. This is clearly evident in the inset panel. Furthermore, the amplitudes of the modes are altered by the contamination.
+The introduction of false frequencies that overlap and interfere with real ones can be absolutely detrimental  to the interpretation and analysis of the oscillation spectra -- this is the prime motivation for establishing a global network {[jain2021]}. We recognize that continuous coverage for long periods will still be limited by weather conditions, but the presence of //random// gaps has significantly less effect than the //regular// gaps that arise from a lack of full longitudinal coverage.