Barack and Michelle Obama look like they’re still going strong … because they’ve just been spotted together in New York City … and she looks happy to be back by his side.

Ya gotta see these photos of Barack and Michelle leaving The Lowell Hotel restaurant Tuesday in midtown Manhattan … a rare sighting for the former president and first lady.

Michelle is smiling from ear to ear as she leads Barack into the back of a waiting SUV … a notable expression, given that we haven’t seen these two together in public often this year.

We last saw the two out on a date night in D.C. in April … so this sighting — along with last month’s rendezvous — should dispel some speculation that there’s trouble in paradise with these two.

Barack and Michelle have mostly been flying solo recently, with Michelle missing from her husband’s side for a bunch of high-profile events … which has only fueled speculation of a possible split, despite Michelle denying they were getting divorced.

Whatever the case may be, lots of folks will enjoy seeing Barack and Michelle together … so click through the gallery.