Originally Posted by **ab1994** http://cdsads.u-strasbg.fr/cgi-bin/n...;filetype=.pdf
equation no. 2b is used to calculate acceleration of particles. I am trying to solve it in hypothetical situation and want to know if following parameters taken are correct. (I am looking to get particle acceleration in meters per second)
Unperturbed velocity: some basic assumption in meters per second
Larmor frequency:In angular frequency s
Wave frequency: In angular frequency s
X3 : assumed random number since it is a position along a coordinate axis.
c= speed of light in meters per second
t= time taken for gravity waves to reach particles
Now since α and a are dimensionless, what should I take them as for calculation? |

I'm not going to analyze the equations, though there are a number of small errors, like missing brackets. However I can answer your dimensional problems.

As ChipB has stated angular frequencies are measured in Hz = 1/s, $\displaystyle x^3$ is indeed a coordinate and therefore is measured in m, c is in m/s, and t is (obviously) in s.

$\displaystyle \alpha$ appears here as a phase shift so it has units of rad. And, as you stated, a is unitless.

The paper doesn't really explain what a might represent. It is clearly not an acceleration. The paper is using a perturbative method...is it possible that a is a variation parameter?

-Dan