Joran van der Sloot – Unexpected developments in the Joran van der Sloot case: Police in Peru say the suspect admitted to murdering a young woman after she looked at his computer and began asking questions about his role in the disappearance of Alabama teenager Natalee Holloway. Van der Sloot was a suspect in the Holloway disappearance in Aruba five years ago but never was charged.
CNN.com's Ashley Fantz takes a look at the victim in the Peruvian case, Stephany Flores Ramirez, and talks to her family about the slaying. Relatives said they were horrified when they Googled van der Sloot's name and realized who he was. As this case unfolds, CNN will bring you the latest details.
Gulf oil disaster – President Obama is taking heat from critics on how he's handled the oil disaster in the Gulf of Mexico. But he says he was on top of the spill weeks ago and has been getting advice from the best minds in the field. He bluntly defended his administration's response to the undersea gusher fouling the Gulf, telling an interviewer Monday that he has met with experts to learn "whose ass to kick."
And on the 50th day since the beginning of the massive oil disaster, advocacy group MoveOn says it will hold nationwide vigils Tuesday night to call for stepped-up efforts to stop the spill. The group called for a "major public outcry" and created a section on its website for people to search for vigils in their area by ZIP codes. Hearings and briefings continue Tuesday to update the public on efforts to stop the oil from gushing and attempts to protect wildlife. We"ll bring you the latest details as they happen.
Political primaries – A number of high-profile primary battles highlight races in 12 states Tuesday, including a senator trying to save her political life and a runoff in a special congressional election to fill a vacant House seat. CNN reporters break down the crucial contests, and our partners at Time.com focus on nine races to watch Tuesday night.
iPhone 4 – The day after an iPhone announcement can go one of two ways - but whether users are excited or feel disappointed, the analysis still comes. For example, while video calls have been available elsewhere before, people wonder if the iPhone's accessibility and ease of use may officially usher in the era of video calls. CNN.com's John Sutter, who was at Monday's announcement, breaks down what 10 things you need to know about the iPhone. We also take a look at the humorous and ironic technical troubles CEO Steve Jobs had during his address.