Thank you for posting the photo. I have deduced that it is a view of the Ecole Militaire seen across the Champ de Mars. Yor viewpoint is higher than the Pont d'Iena and to get that view between the legs of the Eiffel Tower, you must be at the Palais de Chaillot with a long telephoto lens. I see your EXIF data gives a focal length of 47mm but I don't know what that translates into in 35mm terms (300mm maybe?)
At such long telephoto settings any slight movement will be exaggerated. The oscillations seem very regular and are therefore almost certainly of mechanical origin. Their frequency is estimated to be greater than 10 Hz and the motion is circular. During the time of the exposure the amplitude diminishes.
There are therefore two possibilities:
(1) The camera/lens/tripod system has a natural resonace frequency of around this value and takes several seconds to damp off. The original impuls causing the vibrations could be from the setting-up process or from the pressing of the shutter. If this is the cause, then you can confirm it by using the same system and setting it up elsewhere to take similar views of moving distant car lights. Somehow I rather doubt that this hypothesis would produce such high frequency vibrations.
(2) Vibrations are being transmitted to the camera system from an external source. Any motor, engine or pump nearby could be the source. The fact that the amplitude diminishes during the 8 second exposure could indicate that the source of vibration was moving away from you. I therefore suggest that one possibility is that there is a Metro line running somewhere nearby and that the passage of trains is causing vibrations.