What might have looked to observers like an invasion of Brooklyn was just Air Force One out on a photographic mission Thursday. The low-flying jet and a small chase plane buzzed through the area dozens of times, circling the borough, as well as New York Harbor and the Statue of Liberty.

A photographer from the smaller plane was assigned to take photos of Air Force One with the statue and the skyline in the background. Albert R. Brashear, deputy White House press secretary, said there had not been a new official photo of Air Force One in nine years.

Bewildered Brooklynites, not ones to keep quiet under any circumstance, voiced their dismay. "We were swamped with phone calls," said Ben Kocivar, spokesman for the Federal Aviation Administration. Cash-Jennings Partnership

Country music stars Johnny Cash and Waylon Jennings yesterday announced plans to develop a $30 million entertainment complex in Nashville. At a news conference, the singers said that although financing has not yet been fully arranged, they hope to break ground in two or three months.

Plans call for a 200-room hotel, a 1,000-seat auditorium, an office complex, a television studio, a complete radio production facility, two production and recording studios, shops and restaurants.

"Although the hotel will be geared toward people from the entertainment industry, it will be open to the public and will be family oriented," said Cash. "We're even going to have a child care center." End Notes

Charlton Heston, who can part seas and race chariots in his movie roles, is apparently athletic in real life, too. The 61-year-old actor played tennis at the Washington Hilton Thursday with tennis pro Craig Shamwell. The drill session took place outdoors in the noontime heat, and Heston requested that he play facing the sun so he wouldn't have to wear makeup for that night's performance of "The Caine Mutiny Court-Martial" . . .

Olympic runner Mary Decker Slaney and her husband Richard became parents yesterday morning when Mary Slaney, 27, gave birth to Ashley Lynn, a 7-pound, 5-ounce girl at Sacred Heart Hospital in Eugene, Ore. The new mother indicated that she planned to resume the outdoor track circuit six to eight weeks after the birth. . . .

A seven-foot granite sculpture of a Pharaonic goddess owned by the late John Lennon was sold at Sotheby's yesterday for $742,500, the world record auction price for an Egyptian antiquity. The 3,350-year-old statue of the lion-headed Sekhmet was consigned to the auction house by Lennon's estate . . .

Princess Margaret canceled an appearance at a military parade in West Berlin yesterday due to illness, the commander of British forces there said. The parade was in honor of Queen Elizabeth's 58th birthday. Princess Margaret arrived in Berlin Thursday and canceled her appearance about an hour before the scheduled ceremony on the advice of her doctors. The princess reportedly had a sore throat and could not speak . . .

Tonight is the last hurrah for the nightclub Numbers, which was bought out by Pennsylvania developer Neil C. Donohue about six months ago. Donohue plans to open a larger restaurant and entertainment center at that location in mid-June.

It was a tough decision, but Queen Elizabeth has decided to invite Hector Barrantes, Sarah Ferguson's stepfather, to the upcoming royal wedding. Ever since the engagement of Ferguson and Prince Andrew, the Argentinian Barrantes has been a potential guest list problem because of his alleged opposition to Britain during the war over the Falkland Islands . . .