Moot Court Problems in the Supreme Court from granimal features a handy slide that covers resources that correspond to different parts of the Supreme Court timeline.
Oral Arguments Before the Supreme Court: An Empirical Approach. KF8748.W752 - 10th Floor. An academic treatment of the psychology behind Supreme Court decisions with particular focus on the role of oral arguments in the decision-making process and the personality of individual justices.
The Supreme Court: KF 8742.B35 - 10th Floor. A brief but comprehensive reference work on the history and structure of the Court and its justices.
Supreme Court and Appellate Advocacy: KF 8870.F74 - 10th Floor. This book focuses on preparing and presenting oral arguments to the Supreme Court and appellate courts.
Supreme Court Practice: KF8742.St45 - 10th Floor. In this practical guide on preparing and presenting oral arguments before Justices of the U.S. Supreme Court and other appellate judges, the author seeks to build on new insights gleaned from his continuing practice as a Supreme Court and appellate litigator.