I would probably be against this, but here is something the Senate may wish to consider: instead of being up the the Three Justice of the Surpeme Court, the case could be tried before a jury of ones peers, such as 6 randomly picked Atlasians.
Trial by jury is a constitutional right:
Article III, Section 2, Clause 1
In all criminal prosecutions, the accused shall enjoy the right to a speedy and public trial, by an impartial jury of the region wherein the crime shall have been committed, which region shall have been previously ascertained by law.
Also, the Article specifies that a Supreme Court Justice presides.
Lastly, the Bill references "Amendment 3 of the Constitution" - presumably this section has been lifted from a first Constitution era statute, since that Amendment III used to deal with trials and the like. All of that material now resides in Article III, Section 2.