Then there are days like Saturday.
Mountain biking on the Olympic course. Getting in a couple of hits with the women's beach volleyball team. Chuckling after being the target of a softball player's practical joke. Picking events and knowing he could get in, with a police escort ensuring traffic is no problem.
President George W. Bush, a longtime sports fan, immersed himself into the Olympic spirit with abandon, acting like a kid - even when his body was reminding him that he's 62.
Yet there were reminders that the world's troubles follow wherever Bush goes.
He received regular updates after Russia sent columns of tanks and reportedly bombed Georgian air bases Friday. That came after Georgia launched a military offensive to retake the breakaway province of South Ossetia. The fast-changing hostilities threaten to ignite a broader conflict in the region.
"I'm deeply concerned about the situation in Georgia," Bush told reporters. He said he worried about "a dangerous escalation in the crisis" because attacks have spread beyond the main conflict zone. "We have urged an immediate halt to the violence and a stand-down by all troops," he said.
White House spokesman Gordon Johndroe said Bush had spoken with Russian President Dmitry Medvedev and Georgian President Mikhail Saakashvili and "reiterated the United States position to both leaders."
Violence intruded on the games themselves when a knife-wielding Chinese man attacked two relatives of a coach for the U.S. men's volleyball team at a tourist site, killing one and injuring the other. Bush said his thoughts and prayers were with the victims and their families, and that the U.S. government has offered to provide any assistance the family needed.
Bush had official business on his agenda Sunday: meetings with Chinese President Hu Jintao and other leaders of the country; attending church; speaking about religious freedom. That is a sensitive matter in China, where the government allows worship only in officially approved churches.
But mostly Saturday was a day for athletics.
After an early wake-up call, the president headed straight to the Laoshan Olympic mountain-biking course, passing Tiananmen Square along the way. His wife, Laura, went on a tour of the Forbidden City.
Bush, a regular biker, had been itching to get back to the course that he tried out with Chinese Olympic hopefuls in 2005 during his last visit to Beijing.
In a green T-shirt and black shorts, the president biked more than an hour on the course on a warm, muggy, hazy day, accompanied by Secret Service agents and aides. He dabbed at his face with a towel as he left, then called the course "really, really difficult."
"That's why I'm an amateur and they're Olympians," Bush added.
After slipping into dry clothes, the president headed for the beach volleyball at Chaoyang Park, getting sandy with defending gold medalist Misty May-Treanor on the practice courts during a half-hour stop.
Bush posed for pictures with the U.S. players and staff. May-Treanor and her partner Kerri Walsh took a break in practice so Bush could try out a few bumps himself.
The president needs some work on his passing, mis-hitting a pair off his knuckles. When May-Treanor passed the ball back to him, he acted like he was going to dive after it but decided to stay on his feet.
Then May-Treanor turned her back to the president, offering her bikinied rear for one of the traditional slaps that volleyball players frequently give each other.
"Mr. President, want to?" she asked, repeating an offer she made when Bush gave a pep talk to the U.S. athletes before Friday's opening ceremonies.
Bush smilingly gave a flick with the back of his hand to the small of her back instead.
The president then visited with men's players Phil Dalhausser, Todd Rogers, Sean Rosenthal and Jake Gibb and some of the Brazilian players before heading to watch the U.S. women's softball team practice at the Fengtai Sports Center.
Bush huddled with the team for photos, and when they broke up, there was a chalk handprint on the back of his sweat-stained blue plaid shirt.
"You've been 'Bergied,' " he was told by the players, referring to the signature prank of outfielder Laura Berg.
Leaning against the chain-link fence surrounding the field, Bush watched the players warm up with calisthenics, then take batting practice.
Softball is being dropped as a medal event after Beijing, and the earliest it could be reinstated is 2016. Bush, one-time co-owner of the Texas Rangers major league baseball team, said he hopes that happens.
"It's good for the world to have girls playing softball," he said. "And these women are going to show young girls how to win."
Bush met with corporate sponsors of the U.S. Olympic team later in the day, then made his statement on Georgia before hustling to the Olympic basketball arena to catch the women's game between the U.S. and the Czech Republic.