  We develop a phenomenological theory that aims to account for the origin of
the large eccentricities of extrasolar planets and that of the small
eccentricities in the solar system, the preference for apsidal alignment in
non-resonant multiplanet systems, and the origin of the similarities in the
eccentricity distribution of extra-solar planets and that of spectroscopic
binary stars. We show that if a physical process is weakly dependent on the
local dynamics of the companion and imparts a small relative acceleration to
the star-companion system, the eccentricity of the companion's orbit is excited
to large values depending on the direction and duration of acceleration. A
natural candidate for such processes are asymmetric stellar jets and star-disk
winds. When the acceleration originates from a precessing jet, large
eccentricities can be excited by the resonance of the jet's precession
frequency with the induced acceleration's excitation frequency even for nearly
perpendicular jets. Precession also reduces the eccentricity amplitude far
inside the resonance radius. The acceleration's strength is best constrained in
multiplanet systems because of the companions' mutual gravitational
perturbations, while the acceleration's duration is bounded by the condition
that the residual velocity imparted to the star is smaller than the stellar
velocity dispersion in the Galaxy. In the outer parts of the star-companion
system where the acceleration excitation time is comparable to or smaller than
the orbital period, significant radial migration takes place which may have
important consequences for the dynamics of the minor body populations in the
solar system. The theory is illustrated with the $\upsilon$ Andromedae binary
system.
