Shuriken particle trail rotating

I am making particle trail on moving object. The texture only has to rotate on one direction and facing curtain angle when the object is moving. Ex. Texture with an arrow in the center.

The objects are coming from multiple directions and move towards center of the screen. The particles are moving in the opposite direction of the moving objects, but the horizontal billboards (arrows) are always facing the same direction. And the texture isn't matching the facing direction.

I have set the particles to local coordinates.

Is there any way to rotate particle billboard, so that the arrow is always facing the moving object?