Simulating the recent star formation history in the halo of NGC 5128

Simulated color-magnitude diagrams are used to investigate the recent star formation history in NGC 5128. The comparison of the simulations with the observed UV color-magnitude diagram for a field in the north-eastern shell, where recent star formation is present, constrains the initial mass function (IMF) and the duration of the star formation episode. The star formation burst is still on-going or at most has stopped some 2 Myr ago. The look-back time on the main sequence is set by the incompleteness of the U-band observations at V similar to 26, and is of the order of 50 Myr. The post main sequence phases have a look-back time up to 100 Myr, setting the maximum observable time for the star formation in this field. The comparison of the observed and simulated luminosity functions and the number of post main sequence vs. total number of stars favours models with active star formation in the last 100 Myr. The data are best fitted by an IMF with Salpeter slope (alpha = 2.35), and are also consistent with slopes in the range of 2 less than or similar to alpha less than or similar to 2.6. They exclude steeper IMF slopes. The mean star formation rate for a Salpeter IMF in the range of masses 0.6 less than or equal to M less than or equal to 100 M-. within the last 100 Myr is 1.6 x 10(-4) M-. yr(-1) kpc(-2).