Remember last opened Property tab on object selection

I'm proposing that when the user selects an object, the Properties pane switches to whichever tab was last opened on that object.

For example, often I'm tweaking Particle System parameters on one object, and Force Field parameters on another. In this scenario, selecting between the objects forces the user to also switch back to the relevant property tab each time. It would be preferable to automatically toggle open the relevant tab when the user reselects the object.