I intend to research this as well, but I'd like to know if anybody else has any info on this!
A friend of mine has been induced with both of her 2 children. She's now in her 2nd trimester with her third baby, and her midwife told her of some exercises that she can do to try and encourage the baby to stay in the proper position (whatever "not posterior is"--sorry, I can't remember the correct terminology at the moment!). With her doing these exercises, she hopefully will avoid another induction, because the baby will be able to drop properly into the pelvis, and dilation will occur naturally (although she's not sure that her babies were posterior, but she thinks that could be the reason she had to be induced).
Anyway, she sent me to this website that the midwife told her about, knowing that I've had one previous induction, and I'm currently 40 weeks pregnant, and will be induced again on Friday the 13th, if I haven't had the baby on my own.
Looking over the website made me worry that it could be my body (the way my pelvis is shaped, or the condition of abdominal muscles amongst other possible reasons) that could be preventing my babies from dropping properly, and thus not allowing me to dilate on my own (I've currently been 1cm dilated for over a week, and with my last pregnancy, I only dilated to 2cm's over about a 3 week period, until about 2 hours before delivering ds--he ended up being delivered posterior, with forceps).
I guess I'm wondering if anybody has been induced once, and successfully gone on to labor and deliver a second baby on their own? Or had a posterior baby, and then had a second not be that way? I know everyone is different, I'm just looking for some encouraging experiences!