  Observational work have shown that the two brightest satellite galaxies of
the Milky Way (MW), the Large Magellanic Cloud (LMC) and the Small Magellanic
Cloud (SMC), are rare amongst MW analogues. It is then interesting to know
whether the presence of massive satellite has any effect on the whole satellite
population in MW analogues. In this article, we investigate this problem using
a semi-analytical model combined with the Millennium-II Simulation.
MW-analogous galaxies are defined to have similar stellar mass or dark matter
halo mass to the MW. We find that, in the first case, the halo mass is larger
and there are, on average, twice as many satellites in Milky Way analogs if
there is a massive satellite galaxy in the system. This is mainly from the halo
formation bias. The difference is smaller if MW analogues are selected using
halo mass. We also find that the satellites distribution is slightly
asymmetric, being more concentrated on the line connecting the central galaxy
and the massive satellite and that, on average, LMC have brought in 14.7
satellite galaxies with $M_{r}<0$ at its accretion, among which 4.5 satellites
are still within a distance of 50kpc from the LMC. Considering other
satellites, we predict that thereare 7.8 satellites with 50kpc of the LMC. By
comparing our model with the early data of Satellites Around Galactic Analogs
(SAGA), a survey to observe satellite galaxies around 100 Milky Way analogues,
we find that SAGA has more bright satellites and less faint satellites than our
model predictions. A future comparison with the final SAGA data is needed.
