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The laniakea supercluster_of_galaxies
1.
LETTER doi:10.1038/nature13674 The
Laniakea supercluster of galaxies R. Brent Tully1, He´le`ne Courtois2, Yehuda Hoffman3 & Daniel Pomare`de4 Galaxies congregate in clusters and along filaments, and are miss-ing from large regions referred to as voids. These structures are seen in maps derived from spectroscopic surveys1,2 that reveal networks of structure that are interconnected with no clear boundaries. Ex-tended regionswith a high concentrationof galaxies are called ‘super-clusters’, although this termis not precise. There is, however, another way to analyse the structure. If the distance to each galaxy fromEarth is directly measured, then the peculiar velocity can be derived from the subtractionof themean cosmic expansion, the product of distance times the Hubble constant, from observed velocity. The peculiar ve-locity is the line-of-sight departure from the cosmic expansion and arises from gravitational perturbations; a map of peculiar velocities can be translated into a map of the distribution of matter3. Here we report a map of structure made using a catalogue of peculiar velo-cities. We find locations where peculiar velocity flows diverge, as water does at watershed divides, and we trace the surface of diver-gent points that surrounds us. Within the volume enclosed by this surface, themotions of galaxies are inward after removal of themean cosmic expansion and long range flows.Wedefine a supercluster to be the volumewithin such a surface, and so weare defining the extent of our home supercluster, which we call Laniakea. The distribution of matter can be determined by two independent methods: either based on surveys of the distribution of galaxies in pro-jection and redshift, or from the motions of galaxies. With the former, using galaxy redshift surveys, the assumption is required that the galaxy ‘lighthouses’ and mass distribution are strongly correlated, a condition that requires confirmation if, as is suspected, only a minor fraction of matter isbaryonic.Moreover,withtheformer there is a stringent demand that the survey be complete, or at least that its incompleteness be well understood. With the latter, studies of galaxy motions, sparse sampling is acceptable (indeed inevitable) but dealing with errors is a challenge. Except for the very closest galaxies, uncertainties in distance measure-ments translate into uncertainties in the peculiar velocities of galaxies that are larger in amplitude than the actual peculiar velocities.Manymea-surements are required for suitable averaging and care must be taken to avoid systematic errors. Overall, the two paths to determining the dis-tribution ofmatter are in good agreement, a consequence that represents a considerable success for the standard model of structure formation via gravitational instability4–7. The path from velocities tomass distributions benefits fromthe coher-ence in velocities on large scales. Multipole components in the velocity field can point to tidal influences beyond the survey region. The current all-sky redshift surveys and distance measurement surveys reach sim-ilar depths, but the latter probe structure to greater distances because of sensitivity to uncharted attractors and repellers. Coherence in motions on large scales means that signals can be measured by averaging over data in circumstances where individual contributions are very noisy. Details about the actualmeasurement of galaxy distances andthe der-ivation of peculiar velocities are given inMethods.These two parameters are available for more than 8,000 galaxies, affording extremely detailed information locally, degrading outward to increasingly coarse coverage. Weuse thismaterial to reconstruct the large-scale structure of the near-by Universe7. Weobtain the underlying three-dimensional velocity and density fields by the Wiener filter algorithm8,9, assuming the standard model of cos-mology as a Bayesian prior. Large-scale structure is assumed to develop fromgravitational instabilities out of primordial randomGaussian fluc-tuations. The developing density and velocity fields retain their Gauss-ian properties as long as the growth is in the linear regime. It has been shown8 that with a randomGaussian field, the optimal Bayesian estima-tor of the field given the data is the Wiener filter minimal variance esti-mator. At the present epoch, large-scale structure has becomenonlinear on small scales. However, it is an attractive feature of the velocity field that the break from linearity is only on scales of a few megaparsecs, an order of magnitude smaller in scale than the deviations from linearity for the density field. In any event, the present discussion concerns struc-ture on scales of tens to hundreds of megaparsecs, comfortably in the linear regime. The Wiener filter result is determined by the ratio of power to power 1noise. Hence, the large-scale structure is strongly constrained nearby, where uncertainties are small and the coverage is extensive. At large distances, where the data become more sparse and noisy, the Wiener filter attenuates the recovered density and velocity fields to the null field that is expected in the absence of data. However in the linear regime there is coherence in galaxy flows on much larger scales than seen in density fluctuations. Tidal influences frombeyond the surveyed regions can be manifested in cosmic flows on scales that exceed the coverage in measured distances by a factor of two (ref. 10). The ultimate goal is to map the velocity field to a radius that com-pletely encompasses the sources of the motion of the Local Group (of 631kms21) reflected in the cosmicmicrowave background dipole11.How-ever, our knowledge of flows on large scales remains inevitably modulated by the extent of the data. Our analysis of the data in the Cosmicflows-2 galaxy catalogue (see Methods for details) tells us that a coherent flow extends across the full extent of the region that we can map, reaching the Shapley concentration12. It is clear that we do not yet have a suffi-ciently extensive compendium of distances to bound the full source of our deviant motion from the cosmic expansion. For the present discussion, we focus on intermediate-scale flow pat-terns. The standard model of cosmology predicts that on the scale we are considering the flow is irrotational: namely, the velocity field v is the gradient of a potential w, v~{+w. The local minima and maxima of the potential (attractors and repellers respectively) are the drivers of the large-scale flow. We can define a ‘basin of attraction’ as the volume containing all pointswhose flowlines converge at a given attractor. The large-scale structure can be characterized on scales of a few megapar-secs and above by attractors and their basins of attraction. TheWiener filter provides a straightforward way of decomposing the velocity field into a local component that is induced by the distribution within a zone and a tidal residual13. In the linear regime, the velocity and density fields, v and d, are directly related: =?v52H0f(Vm,VL)d where f depend on the cosmological matter and vacuum energy densi-ties characterized by Vm and VL. We specify a centre and radius, and the density field within the defined volume is assumed to be a cut-out from the full Wiener filter density map. Then the Poisson-like equa-tion between velocity and density can be solved to derive the velocity 1Institute for Astronomy, University of Hawaii, Honolulu, Hawaii 96822, USA. 2Universite´ Claude Bernard Lyon I, Institut de Physique Nucle´ aire, Universite´ Lyon I, CNRS/IN2P3, Lyon 69622, France. 3Racah Institute of Physics, Hebrew University, Jerusalem 91904, Israel. 4Institut de Recherche sur les Lois Fondamentales de l’Univers, CEA/Saclay, 91191 Gif-sur-Yvette, France. 4 S E P T E M B E R 2 0 1 4 | VO L 5 1 3 | N AT U R E | 7 1 ©2014 Macmillan Publishers Limited. All rights reserved
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8,000 6,000 4,000
2,000 0 –2,000 –4,000 SGX (km s–1) field responding to just the matter within the prescribed volume. The vector subtraction of the local velocity component from the full flow gives the external component of the velocity field. The residual com-ponent is responsible for the bulk motion of the zone under considera-tion and for a quadrupole componentwithin the zone.The decomposition allows us to probe the local velocity field, with the tidal field induced by distant structures filtered out. Relative attractors and their basins of attraction are defined with respect to that local field. One more useful tool is now mentioned before we turn to results. At each position in space, the three eigenvalues of the velocity shear tensor can be calculated. If these eigenvalues are ordered from most positive to most negative, then a threshold can be set that captures four possi-bilities. Flows can be inward on all three axes, the condition of a cluster, inward on two axes and outward on the third, the condition of a fila-ment, inward on one axis and outward on two, hence a sheet, or out-ward on all three axes, hence a void. Boundaries can be created around contiguous regionswith the same shear properties, and the contours out-line the cosmic web as reconstructed by the V-web algorithm14. Wenowconsider the full presentation of our results given in the Sup-plementary Video and in Extended Data Figs 1–5.We pay attention in turn to smaller (but still in the linear regime) scales to examine the sep-aration of local and tidal flows and to isolate local basins of attraction. Particular attention has been given to locations where there are local di-vergences. In co-moving coordinates andwith the removal of long-range flows, there are places where relatively neighbouring galaxies can be found to bemoving in opposing directions towards separate local basins of attraction. Voids are usually the demarcations between attraction basins, but divergences can occur along filaments and sheets. We note the very nearby case between our home basin of attraction and the Perseus–Pisces complex15,16, where we find a particularly impressive ex-ample of velocity flows in an apparent bridge between attractors that are diverging. This divergence occurs in the feature called the Arch in Extended Data Fig 2. Similar structures abound on close inspection. Velocity information reveals the locations of divergence along filaments between high density regions. This dissipation of the cosmic web is ex-pected with the accelerated expansion of the Universe. We emphasize that peculiar velocity information can reveal details that are otherwise hard to discern. The particular interest in the present discussion is with the largest structure that can be circumscribed within the currently available dis-tance and peculiar-velocity data: the structure schematically illustrated in Figs 1 and 2. The region includes 13 Abell clusters (with the Virgo cluster). Local flows within the region converge towards the Norma and Centaurus clusters, in good approximation to the location of what has been called the ‘Great Attractor’17. This volume includes the historical Local and Southern superclusters18, the importantPavo-Indus filament, an extension to the Ophiuchus cluster, the Local Void, and the Sculptor and other bounding voids. This region of inflow towards a local basin A2870 Perseus–Pisces 14,000 12,000 10,000 8,000 6,000 4,000 2,000 0 –2,000 –4,000 –6,000 –8,000 –10,000 –12,000 –14,000 Hercules Coma 8,000 6,000 4,000 2,000 0 –2,000 –4,000 –6,000 14,000 12,000 10,000 8,000 6,000 4,000 2,000 0 –2,000 –4,000 –6,000 –8,000 –10,000 –12,000 –14,000 SGX (km s–1) SGY (km s–1) Hercules Shapley Ophiuchus A3581 A3656 Norma Coma Centaurus Virgo Hydra Perseus-Pisces Shapley Perseus–SGY (km s–1) –6,000 Figure 1 | Two views of the Laniakea supercluster. The outer surface (blue) demarcates the limits of local velocity flows. The plot is in supergalactic coordinates with axes SGX and SGY shown in the plane at SGZ50. Our Milky Way galaxy is at the origin. Units of 1,000kms21 in velocity correspond to roughly 13.3Mpc. Velocity streamlines are shown in black and terminate in the vicinity of the Norma cluster. Individual galaxies from a redshift catalogue are given colours to distinguish major components within the Laniakea supercluster: the historical Local supercluster in green, the Great Attractor region in orange, the Pavo-Indus filament in purple, and structures including the Antlia wall and Fornax-Eridanus cloud in magenta. Several major entities are named. Norma, Hydra, Centaurus, Virgo, Ophiuchus, A2870, A3581 and A3656 are individual clusters of galaxies embedded within the Laniakea supercluster. Shapley, Hercules, Coma and Perseus–Pisces are complexes of galaxies outside Laniakea. The outer black circle defines the domain used to separate between local and tidal flows. The panels provide two perspectives of the same scene. RESEARCH LETTER 72 | NATURE | VOL 513 | 4 SEPTEMBER 2014 ©2014 Macmillan Publishers Limited. All rights reserved
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Coma of attraction
can be reasonably called a supercluster. The region, if approximated as round, has a diameter of 12,000 kms21 in units of the cosmic expansion or 160 megaparsecs, and encompasses ,1017 solar masses. We propose that this region be named the Laniakea super-cluster of galaxies (fromthe Hawaiian; lani, heaven, and akea, spacious, immeasurable). Online Content Methods, along with any additional Extended Data display items andSourceData, are available in the online version of the paper; references unique to these sections appear only in the online paper. Received 7 April; accepted 7 July 2014. 1. deLapparent, V., Geller, M. J.&Huchra, J. P.Aslice of theuniverse. Astrophys. J.302, L1–L5 (1986). 2. Gott, J. R. III et al. A map of the universe. Astrophys. J. 624, 463–484 (2005). 3. Courtois, H. M. et al. Cosmography of the local universe. Astron. J. 146, 69 (2013). 4. Strauss, M. A. et al. A redshift survey of IRAS galaxies. IV—The galaxy distribution and the inferred density field. Astrophys. J. 385, 421–444 (1992). 5. Dekel, A. et al. IRAS galaxies versus POTENT mass: density fields, biasing, and omega. Astrophys. J. 412, 1–21 (1993). 6. Kitaura, F.-S. et al. Cosmic structure and dynamics of the local Universe. Mon. Not. R. Astron. Soc. 427, L35–L39 (2012). 7. Courtois, H. M. et al. Three-dimensional velocity and density reconstructions of the local universe with Cosmicflows-1. Astrophys. J. 744, 43 (2012). 8. Zaroubi, S. et al. Wiener reconstruction of the large-scale structure. Astrophys. J. 449, 446–459 (1995). 9. Zaroubi, S., Hoffman, Y. & Dekel, A. Wiener reconstruction of large-scale structure from peculiar velocities. Astrophys. J. 520, 413–425 (1999). 10. Doumler, T. et al. Reconstructing cosmological initial conditions from galaxy peculiar velocities—II. The effect of observational errors. Mon. Not. R. Astron. Soc. 430, 902–911 (2013). 11. Fixsen, D. J. et al. The cosmic microwave background spectrumfromthe full COBE FIRAS data set. Astrophys. J. 473, 576–587 (1996). 12. Raychaudhury, S. The distribution of galaxies in the direction of the ‘Great Attractor’. Nature 342, 251–255 (1989). 13. Hoffman, Y. et al. The large-scale tidal velocity field. Preprint at http://arXiv.org/ abs/astro-ph/0102190 (2001). LETTER RESEARCH 14. Hoffman, Y. et al. A kinematic classification of the cosmic web. Mon. Not. R. Astron. Soc. 425, 2049–2057 (2012). 15. Haynes, M. P. & Giovanelli, R. in Large-Scale Motions in the Universe: A Vatican Study Week (eds Rubin, V. C. & Coyne, G. V.) 31–70 (Princeton Univ. Press, 1988). 16. Dekel, A. et al. POTENT reconstruction from mark III velocities. Astrophys. J. 522, 1–38 (1999). 17. Dressler, A. et al. Spectroscopy and photometry of elliptical galaxies—a large-scale streaming motion in the local universe. Astrophys. J. 313, L37–L42 (1987). 18. de Vaucouleurs, G. Evidence for a local supergalaxy. Astron. J. 58, 30–32 (1953). Supplementary Information is available in the online version of the paper. Acknowledgements We thank our many collaborators in the accumulation of Cosmicflows-2 distances. We thank the CLUES collaboration, and in particular S. Gottlo¨ber and J. Sorce in connection with the analysis. T. Jarrett provided an unpublished 2MASS Extended Source Catalog redshift compendium, the only all-sky redshift catalogue extensive enough to match the region of our reconstruction. The narration in the Supplementary Video is by S. Anvar and the originalmusic is played by N.-E. Pomare`de. The name ‘Laniakea’ was suggested by N. Napoleon, Kapiolani Community College, Hawaii. Financial support was provided by US National Science Foundation award AST09-08846, several awards through the Space Telescope Science Institute for observing time with Hubble Space Telescope, an award from the Jet Propulsion Lab for observations with Spitzer Space Telescope, and NASA award NNX12AE70Gfor analysis of data fromthe Wide-field Infrared Survey Explorer.Wealso acknowledge support from the Israel Science Foundation (1013/12) and the Lyon Institute of Origins under grant ANR-10-LABX-66 and the CNRS under PICS-06233. Author Contributions R.B.T. guided the project, was involved in the data acquisition, interacted closely in the development of the ideas that are presented here, and wrote most of the Letter. H.C. was involved in the observing programme, was instrumental in coordinating activities, and was involved in all facets. Y.H. took responsibility for the theoretical analysis, including the Wiener filter, the cosmic web and the Malmquist bias correction. D.P. developed and applied visualization tools useful to this research. Author Information Reprints and permissions information is available at www.nature.com/reprints. The authors declare no competing financial interests. Readers are welcome to comment on the online version of the paper. Correspondence and requests for materials should be addressed to R.B.T. (tully@ifa.hawaii.edu). 8,000 7,000 6,000 5,000 4,000 3,000 2,000 1,000 0 –1,000 –2,000 –3,000 –4,000 –5,000 –6,000 –7,000 –14,000 –12,000 –10,000 –8,000 –6,000 –4,000 –2,000 0 2,000 4,000 6,000 8,000 10,000 12,000 14,000 SGY (km s–1) SGX (km s–1) 1017Mʘ Perseus–Pisces Shapley Laniakea supercluster 160 Mpc Figure 2 | A slice of the Laniakea supercluster in the supergalactic equatorial plane. Shaded contours represent density values within the equatorial slice, with red at high densities, green at intermediate densities and blue in voids. Our Milky Way galaxy is located at the black dot at the origin of the supergalactic coordinates system: a red arrow points right from the black dot toward increasing SGX and a green arrow points up toward increasing SGY. Individual galaxies from a redshift catalogue are given as white dots. Velocity flow streams within the Laniakea basin of attraction are shown in white. The orange contour encloses the outer limits of these streams. This domain has a extent of ,12,000kms21(,160Mpc diameter) and encloses ,1017 solar masses, M[. 4 S E P T E M B E R 2 0 1 4 | VO L 5 1 3 | N AT U R E | 7 3 ©2014 Macmillan Publishers Limited. All rights reserved
4.
METHODS The present
discussion draws on a new catalogue of galaxy distances and peculiar velocities19, one that extends to recession velocities of 30,000kms21 (redshift z5 0.1) and with 8,161 entries provides a density of coverage previously unknown. The new catalogue is called Cosmicflows-2 and the six main methodologies for the dis-tance estimates rely on the characteristics ofCepheid star pulsations, the luminosity terminus of stars at the tip of the red giant branch, surface brightness fluctuations of the ensemble of stars in elliptical galaxies, the standard candle nature of super-novae of type Ia, the adherence by elliptical galaxies to a fundamental plane in lumi-nosity, radius, and velocity dispersion, and the correlation between the luminosities of spirals and their rates of rotation. Each of the methodologies has strengths and weaknesses. The Cepheid and tip of the red giant branch techniques provide high precision distances but only to very nearby galaxies. The elliptical fundamental plane and spiral luminosity–rotation methods provide individually less accurate distances but can be used to acquire samples of thousands of galaxies in a large volume. Type Ia supernovae are excellent distance indicators and can be seen far away but they arise serendipitously and current samples are small. Jointly the sky coverage is now substantial within ,100 Mpc, with only spotty coverage out to ,400 Mpc. When the Cosmicflows-2 compendiumwas being compiled, considerable effort went into ensuring that the six independentmethodologieswere on a commonscale. This scale determines the value of the Hubble constant. In Cosmicflows-2, this pa-rameter is determined from the velocities and distances of type Ia supernovae at redshifts 0.03,z,0.5, in a domain where peculiar velocities should be a negligible fraction of observed velocities. We found20 H0575.263.0kms21 Mpc21. The value ofH0 remains somewhat contentious, especially with the value of 67.3 61.2kms21 Mpc21 claimed by the Planck collaboration21. Other determinations that actually measure distances and velocities are more compatible with our value22,23. Variations of the assumedH0 within the Cosmicflows-2 analysis introduce amono-pole term: infall if H0 is increased and outflow if H0 is decreased. Our value mini-mizes the monopole term. Tests with the current distances demonstrate unphysical monopole terms ifH0 is varied by more than61.5kms21Mpc21 fromthe fiducial value. The Planck determination at face value introduces a massive outflow. It is to be emphasized that, for a study of galaxy flows such as ours, the value assumed for H0 needs to be internally consistent with the scaling of distance measures. A rescaling, say by a re-evaluation of the distances to the nearest galaxies, leaves pe-culiar velocities unchanged. The extremely low H0 value found by the Planck col-laboration is only plausible in the face of the monopole implication if distances to nearby calibrator galaxies are significantly greater than currently measured. The Wiener filter has been used before to reconstruct the underlying flow field fromsparse and noisy velocity surveys24,25.Here it is used to overcome theMalmquist bias introduced by errors in distance that scatter galaxies out of regions containing more galaxies towards emptier regions26. This correction is done in two steps. In the first, the Wiener filter is applied to the raw data. New estimated distances are defined by dWF5(Vobs2VWF)/H0 whereVWF is the radial component of the Wiener filter velocity field at the measured position. This adjustment brings the estimated distances to be much closer to their position in redshift space. The Wiener filter is then applied to the revised catalogue to yield the reconstructed flowthat is presented here. The Wiener filter correction of the Malmquist bias has been tested against mock catalogues drawn fromN-body simulations constrained by the Cosmicflows- 2 data to reproduce the actual Universe. The Wiener filter strongly suppresses the spurious (negative) monopole term introduced by the Malmquist bias. The Wiener filter provides the Bayesian mean field, given the data, its uncer-tainties and an assumed prior model. The robustness of the Wiener filter recon-struction is gauged by sampling the distribution of the residual fromthe mean field, assuming that the underlying field is Gaussian27. To meet this requirement, an en-semble of 20 constrained realizations of the underlying flowhas been constructed25. A local/tidal decomposition has been applied to a sphere of radius 6,000km s21 580 Mpc centred on the putative centroid of the attractor region ([24,700, 1,300, 2500]km s21). Each one of these realizations has been found to harbour a distinct monolithic over-dense structure that dominates that sphere. Extending the radius of the sphere to a radius of 7,000km s21 and above we find the breakdown of the monolithic structure and the emergence of more than one attractor within the sphere. The ensemble of constrained realizations can be used to assess the stat-istical significance of our claim for the existence of a basin of attraction on a scale of 6,000km s21580 Mpc. All of the 20 realizations, each consistent with the data and the assumed prior LCDM model, reproduce such an attractor. Asuperiority of the recovery of structure frompeculiar velocities with theWiener filter over reconstructions from redshift surveys is the sensitivity to structures in regions that cannot be observed, in particular in the heavily obscured equatorial band of the plane of our Galaxy. Indeed a large part of our watershed is hidden by obscuration. The connections between the important Pavo-Indus and Centaurus components of Laniakea, the extension up to Ophiuchus cluster, the filament from the Antlia Wall that ultimately connects to the Perseus–Pisces complex, and the continuation of the Perseus–Pisces filament beyond Perseus are all examples of hid-den structuresmanifested in flow patterns. The two dominant attractors in Shapley and Lepus are both at low galactic latitudes. A further nice example is the identifi-cation of the previously unknown Arch. The Supplementary Video and the figures presented in this paper were created using SDvision28, an interactive visualization software developed within the frame-work of IDLObject Graphics. In Supplementary Informationwe give the transcript of the dialogue in versions that include a sound track. The transcript is also pro-vided in the closed caption version (transcript of the dialogue embedded in the video). The Supplementary Video begins with a half-rotation display of galaxies from the 2MASS Extended Source Catalog29 with distances given by measured velocities assuming the Hubble law. This display gives a general idea of the structure in the nearbyUniverse although there is increasing incompletenesswith distance fromour position at the centre and there is some inhomogeneity in coverage with direction. During a second half rotation of the scene, there is a display of the peculiar ve-locity vectors that are fundamental to the current analysis. Peculiarmotions towards us are in blue and those away are in red. Measurements are densewithin 7,500 kms21 5100 Mpc and fall off quickly beyond that distance. The rotations continue, but now with the full velocity flows derived from the Wiener filter analysis. The immediate product of the filtering is a most probable three-dimensional peculiar velocity at each position within the volume of the study. Animaginary vehicle that starts fromany seed location is passed to an adjacent po-sition by the locally inferred vector of motion, then again passed onward, creating flows that are captured by the visualized streamlines. The dominant flowis towards the Shapley concentration of galaxies.Asecond feature involves an accumulation of flows in the Perseus–Pisces region that then streams down to the Lepus region. After a rotation, the implied large-scale potential field is superimposed. If the viewing box is extended, it is reasonably convincing that the flow to Lepus continues on to connect with Shapley. In other words, essentially the entire volumebeing displayed is involved in a flow towards Shapley. This proposition will be explored elsewhere. The emphasis of the present discussion is on intermediate scales that are within the domain of most of the distance measurements. The contours that become su-perimposed on the flow lines represent the density field derived from the Wiener filter velocity field. The amplitudes of the density reconstructions are high near the centre of the cube where data constraints dominate errors, and taper to low values at the edges where uncertainties are large and the derived density field approaches the mean field. Extended Data Fig. 1 is extracted from this sequence. After somemore rotations, the flowlines are seen to break up into disjoint pieces. These disconnections occur because we have begun to use the trick of separating into local and tidal components. Local velocity flows are due to the mass distri-bution in a restricted region and tidal flows are due to mass outside the restricted region. Next there is a transition to the V-web representation (see main text).The eigen-valuesof the velocity shear canbe evaluated at each local position. Surfaces are shown that enclose clusters, filaments, and sheets.Nowin the video there is a zoominward and flowlines are shownfor local motions within a zone extending to 6,000kms21 580Mpc fromour central position.Weare sampling two separate basins of attrac-tion. The red flow lines are directed toward the Perseus–Pisces complex while the black flow lines are directed toward the Centaurus–Norma–Pavo-Indus structures. Our Earth lies within the domain of the black flow lines, although we are near the boundarywhere local flowdirections flip. It is seen that the flows converge to follow along filaments. There are interesting places along the V-web filaments where local peculiar velocities flip in direction. After some time in this video sequence there is the superposition of individual galaxies from the redshift catalogue. Colours are given to members of different structures. The positions of the individual galaxies are not corrected for redshift distortion but reasonable agreement is seen between the locations of galaxies, the flowlines, and the inferred V-web structures. Extended Data Fig. 2 is extracted from the video as an illustration of this point. In the concluding section of the Supplementary Video, the local/tidal decom-position is shifted to a centre near to the Norma cluster in order to isolate our basin of attraction. The flow lines now only include those that aremoving inward.Asur-face is created at the boundary of this region. Figure 1 shows two projections from Supplementary Video frames and Fig. 2, the concluding frame of the Supplemen-tary Video, is a projection onto the equatorial plane in supergalactic coordinates. This latter figure is augmented in Extended Data Fig. 3 to include flow lines away from, as well as towards, the local region of attraction. In addition there is an indi-cation in Extended Data Fig 3 of the swath of the obscuration in the plane of the Milky Way. Extended Data Figs 4 and 5 give two orthogonal views of the inward and outward local flows. The orange outline in Fig. 2 and in ExtendedData Figs 3–5 is the projectedbound-ary of our local basin of attraction that we call the Laniakea supercluster. This domain RESEARCH LETTER ©2014 Macmillan Publishers Limited. All rights reserved
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of diameter 160
Mpc, given the mean density of the Universe, encloses 1017M[. We stress that in the fullness of distance measurements on a much larger scale it will almost certainly be demonstrated that Laniakea is not at rest with respect to the cosmic expansion and is only a part of something very large that is at rest in the cosmic reference frame.Weremind those unfamiliar with the field that cosmic ex-pansion velocities are removed in deriving peculiar motions. Infalling motions on large scales are only perturbations.All galaxies except those in the immediate vicinity of clusters and groups are flying apart. 19. Tully, R. B. et al. Cosmicflows-2: the data. Astron. J. 146, 86 (2013). 20. Sorce, J. G., Tully, R. B. & Courtois, H. M. The mid-infrared Tully-Fisher relation: calibration of the type Ia supernova scale and H0. Astrophys. J. 758, L12 (2012). 21. Planck Collaboration et al. Planck intermediate results. XVI. Profile likelihoods for cosmological parameters. Available at http://adsabs.harvard.edu/abs/ 2013arXiv1311.1657P (2013). 22. Riess, A. G. et al. A 3% solution: determination of the Hubble constant with the Hubble Space Telescope and Wide Field Camera 3. Astrophys. J. 730, 119 (2011). 23. Freedman, W. L. et al. Carnegie Hubble Program: a mid-infrared calibration of the Hubble constant. Astrophys. J. 758, 24 (2012). 24. Courtois, H. M. et al. Three-dimensional velocity and density reconstructions of the local universe with Cosmicflows-1. Astrophys. J. 744, 43 (2012). 25. Zaroubi, S., Hoffman, Y. & Dekel, A. Wiener reconstruction of large-scale structure from peculiar velocities. Astrophys. J. 520, 413–425 (1999). 26. Strauss, M. A. & Willick, J. A. The density and peculiar velocity fields of nearby galaxies. Phys. Rep. 261, 271–431 (1995). 27. Zaroubi, S. et al. Wiener reconstruction of the large-scale structure. Astrophys. J. 449, 446–459 (1995). 28. Pomare`de, D. et al. Interactive visualization of astrophysical plasma simulations with SD-vision. Astron. Soc. Pacif. Conf. Ser. 385, 327 (2008). 29. Jarrett, T. H. et al. 2MASS Extended Source Catalog: overview and algorithms. Astron. J. 119, 2498–2531 (2000). LETTER RESEARCH ©2014 Macmillan Publishers Limited. All rights reserved
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RESEARCH LETTER Extended
Data Figure 1 | Structure within a cube extending 16,000kms21 ( 200Mpc) on the cardinal axes from our position at the origin. Densities on a grid within the volume are determined froma Wiener filter reconstruction based on the observed velocity field. Three isodensity contours are shown. The density map is detailed near the centre of the box where observational constraints are dense and accurate, but tapers to themean density as constraints weaken. Nevertheless, velocity flows illustrated by the black threads are defined on large scales. Ultimately all flows appear to drain towards Shapley, although flows through the Perseus–Pisces filament take a circuitous route through the poorly studied Lepus region. ©2014 Macmillan Publishers Limited. All rights reserved
7.
Extended Data Figure
2 | A representation of structure and flows due to mass within 6,000kms21 ( 80Mpc). Surfaces of red and blue respectively represent outer contours of clusters and filaments as defined by the local eigenvalues of the velocity shear tensor determined from the Wiener filter analysis. Flow threads originating in our basin of attraction that terminate near LETTER RESEARCH the Norma cluster are in black, and adjacent flow threads that terminate at the relative attractor near the Perseus cluster are in red. The Arch and extended AntliaWall structures bridge between the two attraction basins. The arch is part of a wall surrounding the Local Void. ©2014 Macmillan Publishers Limited. All rights reserved
8.
Extended Data Figure
3 | One of three orthogonal views that illustrate the limits of the Laniakea supercluster. This SGX–SGY view at SGZ50 extends the scene shown in Fig. 2 with the addition of dark blue flow lines away from the Laniakea local basin of attraction, and also includes a dark swath at SGY50 showing the region obscured by the plane of the Milky Way. As in Fig 2 in the main text, the orange contour encloses the inflowing streams, hence, defines the limits of the Laniakea supercluster containing the mass of 1017 Suns and 100,000 large galaxies. RESEARCH LETTER ©2014 Macmillan Publishers Limited. All rights reserved
9.
Extended Data Figure
4 | The second orthogonal view that illustrates the limits of the Laniakea supercluster. This is an SGY–SGZ slice at LETTER RESEARCH SGX524,750kms-1: the dark swath indicates the region obscured by the Milky Way. ©2014 Macmillan Publishers Limited. All rights reserved
10.
Extended Data Figure
5 | The third orthogonal view that illustrates the limits of the Laniakea supercluster. Here we show an SGX–SGZ slice at SGY511,000kms21. The Milky Way lies essentially in a plane parallel to the slice, at SGY50. RESEARCH LETTER ©2014 Macmillan Publishers Limited. All rights reserved
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