Brueggemann's definitions are helpful and workable:
Justice (mishpat) in the Old Testament concerns distribution in order to make sure that all members of the community have access to resources and goods for the sake of a viable life of dignity. In covenantal tradition the particular subject of YHWH’s justice is the triad, ‘widow, orphan, immigrant,’ those without leverage or muscle to sustain their own legitimate place in society.
Righteousness (sedaqah) concerns active intervention in social affairs, taking an initiative to intervene effectively in order to rehabilitate society, to respond to social grievance, and to correct every humanity-diminishing activity.
We have to grasp both this purpose and passion of God: Jeremiah 9.23-26
