We study implications for the apparent alignment of the spin axes, proper m
otion directions, and polarization vectors of the Crab and Vela pulsars. Th
e spin axes are deduced from recent Chandra X-Ray Observatory images that r
eveal jets and nebular structure having definite symmetry axes. The alignme
nts indicate that these pulsars were born either in isolation or with negli
gible velocity contributions from binary motions. We examine the effects of
rotation and the conditions under which spin-kick alignment is produced fo
r theoretical models of neutron star kicks. If the kick is generated prompt
ly during the formation of the neutron star by asymmetric mass ejection and
/or neutrino emission, then the alignment requires that the proto-neutron s
tar possess, by virtue of the precollapse stellar core's spin, an original
spin with period P-s much less than the kick timescale tau (kick), thus spi
n averaging the kick forces on the star. The kick timescale ranges from 100
ms to 10 s depending on whether the kick is hydrodynamically driven or neu
trino-magnetic field driven. For hydrodynamical models, spin-kick alignment
further requires the rotation period of an asymmetry pattern at the radius
near shock breakout (greater than or similar to 100 km) to be much less th
an tau (kick) less than or similar to 100 ms; this is difficult to satisfy
unless rotation plays a dynamically important role in the core collapse and
explosion (corresponding to P-s less than or similar to 1 ms). Aligned kic
k and spin vectors are inherent to the slow process of asymmetric electroma
gnetic radiation from an off-centered magnetic dipole. We reassess the viab
ility of this electromagnetic rocket effect, correcting a factor of 4 error
in Harrison and Tademaru's calculation that increases the size of the effe
ct. To produce a kick velocity of order a few hundred kilometers per second
requires that the neutron star be born with P-s similar to 1 ms and that s
pin-down due to r-mode-driven gravitational radiation be inefficient compar
ed to standard magnetic braking. The electromagnetic rocket operates on a t
imescale of order 0.3(B/10(13) G)(-2) yr. The apparent spin-kick alignment
in the Crab and Vela pulsars places important new constraints on each of th
e mechanisms of neutron star kicks that we consider.