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This did not alter our results. There was some difficulty in matching all the data then available. Results including these galaxies solid black and without them dashed black are shown. OBS Studio screen recording and streaming guid Locations of indicated galaxies are shown relative to the MW—M31 line. Our main finding is that including the 3D distribution of massive perturbing dark matter haloes is unlikely to help greatly with the high-velocity galaxy problem.

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This is one reason why we felt comfortable adding Cetus and DDO to our sample.

This may be a consequence of the 2D models lv the LG as filled with matter at a density equal to the cosmic mean value. Instead, we penalize models that fail to enforce it.

This method of solution is second-order accurate because of the standard finite differencing scheme used to obtain accelerations from a series of discrete positions valid at known times.

The most likely value we obtained using the optimal LMC mass 4136a Without proper motions, observations cannot be put on such a Hubble diagram because the MW is not at the LG barycentre. The results are shown in Fig. Thus, we do not have any targets within this region. Although M31 may have massive satellites too, we do not consider them because they do not affect our analysis to the same extent.

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A few such discrepant pairs lh expected given that there are pairs in total. PC reliability is Poor. The energy gained in such interactions is reliant on the gravitational potential of lh massive body being time-dependent due to its motion. This allows for a well-defined model prediction.

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Like our axisymmetric model, our 3D model accurately matches the observed sky positions of target galaxies. This assumption may be invalidated if the MW has massive satellite galaxies. A comparison between our best-fitting 2D and 3D models is complicated somewhat by the latter having many more degrees of freedom. Predictions from both models are compared in Fig.

Thus, we assume that everything was following a smooth Hubble flow at that time. The range of published distances to NGC is wider than their formal uncertainties, but the most accurate one based on Cepheid variables is 1. Due to the effect of gravity, it provides a better fit to the 3D model within the LG.

The results shown in Fig. Given their known relative velocity at present, this implies a rather high mutual acceleration.

We have treated NGC and Antlia as separate objects. However, we expect that this should not much affect the present-day velocity of a galaxy required to be at a particular position. Importantly, the effect of forces acting at earlier times needs to be reduced by a factor of a 2.

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The distance to Antlia was found to be 1. For 4163 reasons, we use a fairly large uncertainty for such distant objects. The models broadly agree, 41663a an average absolute difference of Oxford University Press is a department of the University of Oxford.

This is more likely if Antlia is a satellite of NGC We consider this unlikely for a timing argument analysis such as ours. Thus, we used a modest resolution grid and found which test particle landed closest to each target galaxy.

In the future, such non-axisymmetric motions should become detectable based on proper motion measurements. None the less, gravitational slingshot interactions with these objects could well lead to high Gl, as occurs close to the LG barycentre bottom panel of Fig.

LG dwarf galaxies are represented as test particles affected by the expansion of the Universe and by three massive particles — the MW, M31 and Centaurus A. Close mobile search navigation Article navigation.