Astropause radii are estimated for a sample of 70 G stars near the Sun
, assuming a solar system model. These estimates are sensitive to tota
l interstellar pressure, including magnetic pressure and the ram press
ure of the interstellar medium. G-star space velocities and trajectori
es are calculated. Three stars within 10 pc of the Sun (HD 2151, HD 20
794, HD 190248) have predicted astropause radii larger than 6''. At le
ast eight stars in the sample have traversed low interstellar pressure
regions, similar to the path of the Sun, over the last 4 Myr. The Gal
actic influences on these stellar systems thus may be similar to those
on the solar system, providing a list of possibly attractive SETI tar
gets. The closest star to the Sun 4 Myr ago, in this restricted sample
, was HD 147513. The stars HD 122742 and HD 126053 are predicted to be
part of a previously unidentified triplet system. The relative dimens
ions of the astropause radii of G stars with space motions parallel an
d perpendicular to the surrounding interstellar magnetic field may var
y by a factor of 2 and may ultimately yield quantitative estimates of
interstellar magnetic field strength near the Sun.