Steadiness in meditation happens when there are bliss states, even near neutral bliss states, where the yogi finds that there is effortless absorption within the psyche with no urge to venture outside the being and no feeling of a need to get or procure anything because the bliss yielding energy is such that it is totally satisfying and of itself causes a deep sensual energy withdrawal (pratyahar) with a samadhi containment occurring with no extraneous effort.

In my practice, bliss states are a gateway to steadiness.  If I objectively observe bliss arise and then simply allow it to be,  it usually thins out fairly quickly into the near neutral bliss.  Abiding in the near neutral bliss seems to involve a knack. Entering into near neutralilty or neutrality is sort of a mental jolt because of the absence of sensual and mental impressions.  If I pass through that and remain steady in neutrality, it does indeed become satisfying.  The real boon comes when I emerge from those states, even states of brief duration and infrequent occurrence.  Upon emergence I see without a doubt that it is in neutrality that the true peace is found.  The word is hard to choose because it is a still emptiness that seems to characterize this thing I called peace.  It is that state in which there is no movement.  By then, bliss has fallen to the wayside. 

It is also after experiencing neutrality, that I was able to give up my preconception and expectation that meditation was for blissing out and zoning out into some sort of spiritual oblivion.  In my experience, the satisfaction and stillness comes while I am fully alert, clearly alert.  This is where everthing stops and one gets the idea that one is approaching the passageway from which one does not return to samsara.