Ok, there has been a break in the action here because I moved the question that stumped me into the physics forum and despite Jorrie's objections that relativity cannot provide me with the answer, I have found the answer anyway through ralfativity.
Here is the original question
"I'm looking for the math that shows if Alice stops for 3 years and she'll end up 1 yr younger than Bob at the end of those 3 years, how much younger is she for each of those 3 years."
Jorrie's answer before he locked the thread was:
"Bob is never present at the two events that concern Alice, so his aging is indeterminate for those two events. After 3 years of her stopping, Alice and Bob are still at two different events, but now they had time to exchange signals and could determine that they now share a mutual inertial frame and hence a shared definition of simultaneity. This, for the first time, allows a proper aging difference of 1 year to be established."
I'm afraid as you will see, ralfativity can now tally the per year age loss accumulation that relativity says is indeterminate
He goes on to say:
"Post-processing depends on arbitrary choice of reference frames and it is hence not a coordinate-independent result."
I've seen this a lot around the forum lately, " How can we determine reality if it's observer dependent." "If time dilation is reciprocal and dependent on perspective, how can we possibly determine age difference." Just choose a perspective and do the math. Here's an STD to show you what I mean:
This isn't a chart of the typical forum user's synaptic firings when trying to make a choice of which perspective to adopt, it's a STD of all the persectives available with their lines of present. We're going to choose Alice's perspective of Bob because Alice will be making the change in velocity and Bob won't have any idea of what's going on for 3 yrs after she makes that change. Alice sees's Bob's years time dilated so a .8 Bob yr form Alice's perspective is equivalent to 1 Alice year, Notice how this works if Alice keeps going:
Notice I've relabelled the Bob t-axis in Bob equivalent years. There is no age difference between Bob and Alice from Alice's perspective, when they are engaged in constant relative velocity.
The next STD is after he gets the message from Alice that she has stopped at t'=4. Bob had thought he had been engaged at .6c with Alice for his equivalent years from 4 until 10. Now he has to draw in blue that he was matching Alice's aging year for year after she stopped. Once he draws in his correct equivalent age, he can calculate how much of an age difference occurred year by year.
The red lines of present show what what Bob thought his age should have been but it gains .2 Bob years (.25 Alice years) for every equivalent year from 5 to 9. At equivalent yr 10, the .2 yrs Bob would have gained are cut off by the message from Alice who tells Bob that they are now engaged at 0 relative velocity and hence his line of present should go horizontal to match his. So the end result is Alice is 1 Alice yr behind Bob in the accumulation pattern of .2 Bob yrs gained from Bob equivalent years from 5 to 9 (Bob yrs 4 to 7.2).
I know, not easy to follow but it does prove, contrary to what relativity says, that you can plot age difference year by year. I should double check my result using the Alice turnaround example because this could have just been a fluke.