We present scaling relations for the total cross sections and collisio
n strengths of bound-state excitation in positive ions. The colliding
particle can be positively or negatively charged and can be a fully io
nized atom, an electron, or a positron. We consider collisions in whic
h the kinetic energy of relative motion is large and consequently the
adiabaticity parameter xi much less than 1. We illustrate our general
method by calculating collision strengths for proton-impact excitation
of fine-structure transitions in hydrogenlike ions. The limiting case
of infinite nuclear charge is also included in our calculations. Usin
g a unitarized Coulomb-Born approximation, we show that, for dipole tr
ansitions, colliding particles with large orbital angular momenta (l g
reater than or similar to 2000) make an important contribution (approx
imately 70%) to the collision strength of proton-impact excitation. Fo
r a nonrelativistic projectile energy E(i) --> infinity, we use the Bo
rn approximation to obtain the scaled collision strengths. These limit
ing values, dependent only on the particular transition, confirm the c
orrect high-energy behavior of our data. We also use the interactive g
raphics computer program OMEUPS [Burgess and Tully, Astron. Astrophys.
254, 436 (1992)] to extrapolate our data to higher energies.