According to this ffmpeg documentation, it seems one of the 'native' frame rate for ffmpeg
is
'ntsc': 30000/1001
while 30000/1001=29.9700... does not equal to 29.97, I wonder if a Sony Pro camera really means it shots in 29.97, not 30000/1001?
If that Sony camera does shot in exact 29.97fps, I suppose we should keep the 29.97fps, should not change the fps of the video file to 30000/1001?