I get asked this question quite a bit with the type of work I do -
Chemically, essence of skunk is a collection of about a half-dozen THIOLS (aka mercaptans) which are organic chemicals containing the stinky sulfhydryl chemical group (-SH). Moreover, these thiols are not especiallly water soluble. There are only two ways to eliminate them and the odors they produce.
1) Solubilize the thiols To do this you must raise the pH (i.e., make alkaline) of the wash solution above where the -SH group become ionized to S- at which point it will become more soluble and wash away. FORGET the tomato juice! It is a weak ACID , and it will do ZIP to solubilize/remove thiols.
2) Chemically alter the -SH group which will render the molecule odorless. The most easy chemical change for thiols is oxidation to sulfonic acids, which are both odorless and more soluble than the parent thiol. A mixture of hydrogen peroxide (1 qt) + baking soda (1/4 cup) + dish detergent (2 Tbs) will oxidize these thiols. . Let sit for 5-10 minutes, then rinse with relatively HOT (not scalding!) water. Repeat several times. This concoction will release oxygen gas which is the actual oxidizing agent. Do not try to prepare and store this mixture. At best it will deteriorate in a few hours after preparation. At worst, the bottle will explode
A final caveat. On damp days for as long as 6 months after the "incident" you may well smell a skunky odor . Turns out that in addition to the thiols, skunk essence contains a small quantity of thiol esters . In and of themselves they have a low odor. Unlike thiols, thiol esters cannot be easily solubilized with alkalis, nor easily chemically oxidized. However with exposure to moisture, these esters slowly break down (hydrolyze) into, you guessed it, stinky thiols. Since the quantity is minute, the smell is likewise only a minor annoyance. Over time, the residual thiol esters are broken down completely and you can look back and laugh about the experience
Why do some folks swear by tomato juice? The smell chemists and physiologists tell us that at high concentrations of skunk essence people experience what is called olfactory fatigue, i.e., so much stink that you can no longer smell it. That's when the smell of another substance such as tomato juice becomes easily detected. However, another person coming in the room where you are dousing doggy with tomato juice at this point will quickly affirm that the skunk essence has not been neutralized by the tomato juice.
Here is the secret recipe that WORKS. Mix the following:
* 1 quart 3 percent hydrogen peroxide
* 1/4 cup baking soda (sodium bicarbonate)
* 1 teaspoon liquid soap or dish detergent
* Mix these together and bathe ("shampoo" in or rub down) the spray victim thoroughly.
* Be sure to use this mixture immediately after it is created, as it is unstable.
* Rinse with tap water afterward, and repeat if necessary.
Mix these three items in an open container. Never, Never put them into a container and then close the lid. The escaping gases could build up enough pressure to explode the container. Never store this mixture. If you create it, use it. This formula is only effective for deodorizing items that have been directly hit with the spray. It won’t deodorize your room. Be careful it may discolor fabrics etc.
Disclaimer - I do not know if this is a safe mixture for automobile paint. Maybe someone here who works with paint and painting cars can tell you if baking soda and peroxide is safe for paint. I do know for a fact this will work if the application can be used safely on automotive paint without damage.
After many washes at the stations, it subsided a lot. The washer guy asked me why I ran the car into the wash a few times before the wax. lolz I should have kill that bastard for the trouble. 
