On Tuesday’s NewsHour…

ELENA KAGAN CONFIRMATION HEARINGS | Supreme Court nominee Elena Kagan faced a grilling from some Senate Judiciary Committee members on her role in barring military recruiters at Harvard. Kwame Holman reports on the second day of confirmation hearings. Then, Judy Woodruff talks with Marcia Coyle of the National Law Journal for analysis of the day’s proceedings.

GEN. PETRAEUS ON AFGHANISTAN | Gen. David Petraeus, the newly-appointed U.S. commander in Afghanistan, testified that the U.S. faces a long-term commitment to the war in Afghanistan. Gwen Ifill reports on the general’s confirmation hearings in the Senate.

RUSSIAN SPYING ARRESTS | Russian officials have condemned the arrests of alleged agents, accused of living undercover in the U.S. Jeffrey Brown talks with David Kramer of the German Marshall Fund and Anna Vassilieva, head of the Russian Studies Program at the Monterey Institute of International Studies, about what the arrests mean for relations between the two countries.

AFGHAN, U.S. TROOP TRAINING CHALLENGES | As the U.S. considers its ongoing strategy in Afghanistan amidst leadership changes, Ray Suarez talks with documentary filmmaker Carol Dysinger about her exploration of the strengths of Afghan troops and the U.S. soldiers helping to train them.

Tuesday’s anchors are Jeffrey Brown and Gwen Ifill. Hari Sreenivasan will have the day’s other top news stories and a look at features on the Web, including the answers to your questions for Marcia Coyle during our live coverage of Elena Kagan’s confirmation hearings and an infographic to help with your understanding of the Senate Judiciary Committee.

Plus, hear a conversation with correspondent Amy Costello about the unmet promise of a device intended to bring fresh water to villages in Southern Africa and get the latest on the killing of a gubernatorial candidate in Mexico from GlobalPost reporter Ioan Grillo.

We hope you’ll join us.