This is the 9320th most frequent Russian word.
судебное
"Judicial" or "pertaining to a court."
In this sentence, 'судебное' (judicial) refers to anything related to legal or court proceedings, forming part of the term 'судебное разбирательство' (court hearing).
Судебное разбирательство начнётся завтра.
The court hearing will begin tomorrow.
Here, 'судебное' modifies 'право' (law), indicating 'judicial law', a branch of law dealing with court and legal matters.
Он изучает судебное право в университете.
He studies judicial law at the university.
In this usage, 'судебное' describes 'решение' (decision), specifying that the decision pertains to judicial authority or court rulings.