Modine documented the whole filming process some 25 years ago with a camera and diary as he played Private James T "Joker" Davis in the movie.
After securing Kickstarter funding, the actor has now created an iPad app giving film fans an insight into what it was like to work on the film, and with Kubrick.
The app features hundreds of photos and written diary entries, with some of the content taken from a 2005 book of the same name.
"In 1985, Stanley Kubrick encouraged me to take photos and keep a journal while playing the lead role of Private Joker on the set of Full Metal Jacket," said Modine.
"In 2005, I published a limited edition book of my photos and diary. This app is based on that book; enriched and reimagined as an interactive, audiovisual experience. I hope you enjoy it!"
Arriving just in time for the film's 25th anniversary, the Full Metal Jacket Diary app features hundreds of high-quality, never-before-seen images, along with sound effects, original music and other content.
It has the complete diary text from Modine's out-of-print book, including five chapters chronicling the filmmaking process - Private Life, Vietnam, Boot Camp, On Leave, and Boot Camp Redux.
There are nearly four hours of audiobook content produced by Modine, featuring sound effects and music, along with 400 high-res photos and an assortment of scanned documents and source material.
A video entitled What Was Stanley Like? features Modine discussing what it was like to work with the visionary director. The app is also optimised for the new iPad with the Retina display.
Full Metal Jacket Diary is available now to download from the iTunes Store, priced at £10.49.
Watch a promo for the app below: