Interpolation for particle subemitter

I am making simple ribbon effects with the default particle system. It simply attaches a subemitter with loads of particles to form trails. While they look okay to me when the whole effect is stationary, it begins to look not so pretty once I apply translation animation on the effect, the trails from the subemitter break apart.

My first thought is that the subemitter of particle system lacks interpolation to handle "external" animation. The main emitter does have interpolation for even spacing between particles. The subemitter also calculates interpolation based on the speed/velocity/force of the main emitter and itself. Nonetheless I don't know how to solve this issue myself and appreciate any help.