Retro/prograde flyby galaxies and their bar formation

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milkism
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TL;DR Summary
In fast flyby encounters, typically involving a smaller or equal in mass galaxy (secondary) passing by a relatively stationary galaxy (primary), a bar formation can occur in either the secondary galaxy or both galaxies. This depends on their masses and their relative motions (whether prograde or retrograde).
https://iopscience.iop.org/article/10.1088/2041-8205/790/2/L33/pdf

In section 3, it states that during a 1:1 prograde passage, bar formations are visible in both galaxies, whereas in the retrograde version, there are no bar formations in either galaxy. I would like to understand the physics behind this.

My initial thought is as follows:

During a 1:1 retrograde passage, the gravitational interactions of both galaxies are equal in magnitude, but their signs differ. Therefore, if we sum up all the gravitational forces, the net effect would be zero.

Is this partially correct (of course, aside from gravitational forces, there are other factors too) or am I completely wrong?
 

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