@mojo-chan : The Lukas ACE car camera utilizes about 2W when on, including GPS, if that could provide any more info to you. An accelerometer would be another good option, but GPS popped in my head since most car cameras now seem to have them.
@Shock : I have seen solar panels that output the power I need in sizes about 3x5. This is about the size of the VF960. If I could get two smaller panels and mount them between the lenses, this might be possible. In the case of night time operation, the camera has a battery that lasts for a good 2-3 hours, so that should not be an issue. Vandalism and theft are not really issues for me at least, and one can always stow away the camera. I know it is easy to conceal, but I do not think most people, myself included, have the know-how or will to go tearing apart their cars. Mine is also a newer model with side airbags and rain sensor with auto dimming rear mirror, so there is already a tiny bit of wiring going into a crevice in the ceiling. Not sure if I could wire it that way or what damage that would do.
@Legit-Design : Solar panels are almost always pointed at the sun in your car, and there are even solar powered car fans, so I do not think it would lose that much efficiently. Cell phones are always in your pocket or in your hand, covering up the panel, by comparison.
@MacAttak : See my above comments. With a newer car and my lack of car sense, this would probably be impossible. The cigarette lighter in the car normally turns off so a "parking mode" necessitates either a direct connection to the lead acid battery or the use of the camera's own internal LiOn battery.
If all of you or anyone else could possibly provide additional insight, it would be much appreciated. I will need to look into solar panels and will start to build a prototype.