Conn. Gen. Stat. § 46b-6: (Formerly Sec. 51-337). Investigations.

In any pending family relations matter the court or any judge may cause an investigation to be made with respect to any circumstance of the matter which may be helpful or material or relevant to a proper disposition of the case. Such investigation may include an examination of the parentage and surroundings of any child, his age, habits and history, inquiry into the home conditions, habits and character of his parents or guardians and evaluation of his mental or physical condition. In any action for dissolution of marriage, legal separation or annulment of marriage such investigation may include an examination into the age, habits and history of the parties, the causes of marital discord and the financial ability of the parties to furnish support to either spouse or any dependent child.