tangential velocities were a bit below the observed values. The revised proper motions for the LMC from @Kallivayalil2013 suggest a slightly lower total velocity than previously determined, $321 \pm 24$ km/s compared to $378 \pm 31$ km/s, resulting from the combination of an added third-epoch of observations, the adoption of a different local standard of rest, and a new determination of the LMC’s dynamical center. This decrease in velocity accommodates the tangential motion of LMCa more comfortably at both pericenters.

It is still a matter of debate whether the Clouds are on first or second pericentric passage [see, e.g., @Shattow2009; @Sales2011], although indirect evidence favour a first infall scenario, including: $a)$ their large tangential velocity, $b)$ their blue colors and large gas content and $c)$ the requirement that the LMC and SMC have been a long-lived binary (which favors a low-mass Milky Way, or a high-mass LMC, see discussion in @Kallivayalil2013). Therefore in what follows we analyze in detail a first infall scenario but include a brief discussion about how our conclusions would be affected if the LMC is in its second pericenter passage (Sec. \[sec:2nd\_pericenter\]).

Following S11, we use the Aquarius “A” halo at level 3 resolution, or Aq-A-3 