Motion of flagellate bacteria is considered from the point of view of
rigid body mechanics. As a general case we consider a flagellate coccu
s magnetotactic bacterium swimming in a fluid in the presence of an ex
ternal magnetic field. The proposed model generalizes previous approac
hes to the problem and allows one to access parameters of the motion t
hat can be measured experimentally. The results suggest that the stron
g helical pattern observed in typical trajectories of magnetotactic ba
cteria can be a biological advantage complementary to magnetic orienta
tion. In the particular case of zero magnetic interaction the model de
scribes the motion of a non-magnetotactic coccus bacterium swimming in
a fluid. Theoretical cal culations based on experimental results are
compared with the experimental track obtained by dark field optical mi
croscopy.