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Fig. A.4


Smoothed density in a central 1 kpc slice (logarithmic from maximum density at simulation start to 1% of this) through the centre of the dwarf in the three schemes. Each box is 10 kpc in width and height. The standard GEAR scheme is on the left column, Mid-v scheme in second column, It-v scheme with natural step sizes in the third column, and the It-v scheme with limited step sizes in the right column. From top to bottom, the slices take place at 2 Gyr (simulation start), 4.8 Gyr (perigalacticon), 7.6 Gyr (apogalacticon), and 10.4 Gyr (perigalacticon). In the rotating frame schemes, the dwarf is rotated back to the host galaxy frame of reference to be directly comparable with the standard GEAR scheme. As should be the case, the density profiles are identical at the simulation start, by the first perigalacticon, however (second row), the Mid-v scheme is less dense in the centre and slightly over dense in the tidal tails; this central under density is carried over to the first apogalacticon (third row) before the Mid-v dwarf is effectively destroyed at the next perigalacticon (bottom panel). The It-v dwarf survives these passages in slightly better shape, particularly at the second perigalacticon where it still retains a slightly denser core. When limiting step sizes to those typical of the RPS simulations, the It-v scheme performs quite well, possessing a similar core to the normal GEAR scheme at each point.

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