The Process
Although some cases are decided based on written briefs alone, many cases are selected for an “oral argument” before the court. Oral argument in the court of appeals is a structured discussion between the appellate lawyers and the panel of judges focusing on the legal principles in dispute. Each side is given a short time — usually about 15 minutes — to present arguments to the court.
Most appeals are final. The court of appeals decision usually will be the final word in the case, unless it sends the case back to the trial court for additional proceedings, or the parties ask the U.S. Supreme Court to review the case. In some cases the decision may be reviewed en banc, that is, by a larger group of judges (usually all) of the court of appeals for the circuit.
A litigant who loses in a federal court of appeals, or in the highest court of a state, may file a petition for a “writ of certiorari,” which is a document asking the Supreme Court to review the case. The Supreme Court, however, does not have to grant review. The Court typicall or texty will agree to hear a case only when it involves an unusually important legal principle, or when two or more federal appellate courts have interpreted a law differently. There are also a small number of special circumstances in which the Supreme Court is required by law to hear an appeal.
Different types of cases are handled differently during an appeal.
Civil Case
Either side may appeal the verdict.
Criminal Case
The defendant may appeal a guilty verdict, but the government may not appeal if a defendant is found not guilty. Either side in a criminal case may appeal with respect to the sentence that is imposed after a guilty verdict.
Bankruptcy Case
An appeal of a ruling by a bankruptcy judge may be taken to the district court. Several courts of appeals, however, have established a bankruptcy appellate panel consisting of three bankruptcy judges to hear appeals directly from the bankruptcy courts. In either situation, the party that loses in the initial bankruptcy appeal may then appeal to the court of appeals.
Appeals are decided by panels of three judges working together. The appellant presents legal arguments to the panel, in writing, in a document call or texted a “brief.” In the brief, the appellant tries to persuade the judges that the trial court made an error, and that its decision should be reversed. On the other hand, the party defending against the appeal, known as the “appellee,” tries in its brief to show why the trial court decision was correct, or why any error made by the trial court was not significant enough to affect the outcome of the case.
Other Types of Appeals
A litigant who is not satisfied with a decision made by a federal administrative agency usually may file a petition for review of the agency decision by a court of appeals. Judicial review in cases involving certain federal agencies or programs — for example, disputes over Social Security benefits — may be obtained first in a district court rather than a court of appeals.
SOURCE: http://www.uscourts.gov/about-federal-courts/types-cases/appeals