Steps to reproduce:

1. Download and import attached project. (MovingParticles.zip)
2. Open scene: main
3. Press play.
4. Press "Shift w/ Streak" multiple times.

Expected result: Particle system stays at the same.
Actual result: Streaks of particles are visible to the left of the main particle stream.

Issue explanation: When you move whole particle system to a new position, particles which are going to be emitted at the exact frame are interpolated and appear between last and new position. User want to move whole system and all its particles to a different position, but those particles, which should be emitted during that frame are left behind. This creates the unwanted effect.

Reproduced on: 5.4.0b15, 5.3.4f1, 5.2.4f1