Русско-англо-русский юридический словарь

In open court is a legal term in the United States defined by the appearance by a party or their attorney in a public court session such as during a trial. Normally, the public may be present at trials, hearings and similar routine matters (Wikipedia)

Having considered the arguments and evidence in open court, along with the post trial memoranda, this Court makes the following ruling. (Stacey Adler v. Gerald Jermarr Williams, FindLaw)