A former Fairfax County official was convicted Monday in a molestation case involving a then 10-year-old girl that dates from the mid-1980s, according to court records.

John C. Kershenstein, 70, of Fairfax Station, entered what is known as an Alford plea to one count of aggravated sexual battery as part of a deal with Fairfax County prosecutors, court records show.

In an Alford plea, a defendant admits there is enough evidence for a conviction, but does not admit guilt.

Kershenstein, who Fairfax County records list as a former board member of the Planning Commission and the Redevelopment and Housing Authority, could face a maximum of 20 years in prison when he is sentenced in October, according to court records.

Prosecutors said the molestation occurred between October 1985 and December 1985. Kershenstein was arrested in March 2011.