(CNN) -- An Alaska judge has denied Bristol Palin's request that her court fight with ex-boyfriend Levi Johnston over custody of their son be kept private to avoid a "media circus." The daughter of former Alaska Gov. Sarah Palin is seeking full custody of 1-year-old Tripp, contending that Johnston is too immature to be a responsible father and that his mother's felony drug conviction makes her a danger to the child. Bristol Palin filed for full custody in November, but Johnston is seeking shared custody. Both parents are 19. Their teenage relationship fell under an intense public spotlight after Sen. John McCain picked Sarah Palin as his vice presidential running mate in August 2008.
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Levi Johnston is seeking shared custody of Tripp Palin, now a year old
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Bristol Palin requested that proceedings be closed to prevent a "media circus"
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Johnston wanted case kept public to protect himself from ex-fiancee's powerful mom
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Unsealed court documents were published online by the Anchorage Daily News
"I do not believe that it would be in @placeholder's best interest for Levi's reality show to be filming this case as it unfolds, or for Levi Johnston to be capitalizing off of this custody case through his reality show," Palin said.