This work investigates the propagation of magnetized, isolated old neutron
stars through the interstellar medium (ISM). We performed axisymmetric, non
relativistic magnetohydrodynamic (MHD) simulations of the propagation of a
nonrotating star with a dipole magnetic fid aligned with its velocity throu
gh the ISM. Effects of rotation will be discussed in a subsequent work. We
consider two cases : (1) where the accretion radius R-acc is comparable to
the magnetic standoff distance or Alfven radius R-A and gravitational focus
ing is important and (2) where R-acc << R-A and the magnetized star interac
ts with the ISM as a "magnetic plow," without significant gravitational foc
using. For the first case, simulations were done at a low Mach number M = 3
for a range of values of the magnetic field B-*. For the second case, simu
lations were done for higher Mach numbers, M = 10, 30, and 50. In both case
s, the magnetosphere of the star represents an obstacle for the flow, and a
shock wave stands in front of the star. Magnetic field lines are stretched
downwind from the star and form a hollow elongated magnetotail. Reconnecti
on of the magnetic field is observed in the tail, which may lead to the acc
eleration of particles. Similar powers are estimated to be released in the
bow shock wave and in the magnetotail. The estimated powers are, however, b
elow present detection limits. Results of our simulations may be applied to
other strongly magnetized stars, for example, white dwarfs and magnetic Ap
stars. Future more sensitive observations may reveal bow shocks and long m
agnetotails of magnetized stars moving through the ISM.