Ok. Now, here's the real story on limited slip chatter.
Virtually all "additives" which seek to eliminate squeal or chatter are "friction modifiers." They mitigate the chatter or noise by degrading limited slip action--exactly what you don't want to do for best performance. In all cases when you use an additive, you do that. If you're putting the additive in a high-mileage or broken limited slip, you're just making a problem (lack of proper limited slip action) worse.
The key is to 1) start with an axle with a limited slip in good condition then 2) add only enough additive such that any chatter or squeal either goes away or, better yet, is reduced to a very subdued squeal.
Chances are a 77 with a chattering diff, if it's never had it's rear axle overhauled or the lube was not changed regularly (ie: ever 3 yrs or 36,000 miles), has a heavily worn or damaged limited slip unit. If that's the case, using an additive, be it one of BG's "overhaul in a bottle" products or other additive, all you've achieved is band-aiding the problem.
What you really need to do is get the diff apart and repair/replace the limited slip diff as necessary.