ARLINGTON, Va. — Supreme Court Justice Ruth Bader Ginsburg was buried Tuesday in a private ceremony at Arlington National Cemetery, laid to rest beside her husband and near some of her former colleagues on the court.

Washington last week honored the 87-year-old Ginsburg, who died Sept. 18, with two days where the public could view her casket at the top of the Supreme Court’s steps and pay their respects. On Friday, the women’s rights trailblazer and second woman to join the high court lay in state at the U.S. Capitol, the first woman to do so.

Already the capital is looking ahead to confirmation hearings expected to begin Oct. 12 for Amy Coney Barrett, whom President Donald Trump announced Saturday as his nominee for Ginsburg’s seat. Barrett was meeting with senators on Tuesday.

Arlington, just over the Potomac River from Washington, is best known as the resting place of approximately 400,000 service members, veterans and family members.