Milliarcsecond astrometry provided by Hipparcos and by radio observations m
akes it possible to retrace the orbits of some of the nearest runaway stars
and pulsars to determine their site of origin. The orbits of the runaways
AE Aurigae and mu Columbae and of the eccentric binary iota Orionis interse
cted each other similar to2.5 Myr ago in the nascent Trapezium cluster, con
firming that these runaways were formed in a binary-binary encounter. The p
ath of the runaway star zeta Ophiuchi intersected that of the nearby pulsar
PSR J1932 + 1059, similar to1 Myr ago, in the young stellar group Upper Sc
orpius. We propose that this neutron star is the remnant of a supernova tha
t occurred in a binary system that also contained zeta Oph and deduce that
the pulsar received a kick velocity of similar to 350 km s(-1) in the explo
sion. These two cases provide the first specific kinematic evidence that bo
th mechanisms proposed for the production of runaway stars, the dynamical e
jection scenario and the binary-supernova scenario, operate in nature.