For the excerpt from SN 47.10, I’ll just add that this sequence is given the same way for each base of mindfulness: the body, feelings, mind, and dharmas. So nothing too specific to the body itself. It’s using the 5 steps towards samadhi: gladness, joy, pliancy, bliss, samadhi. Some other practices leading to this sequence:
For SN 47.10, Bhante Sujato has “inspiring foundation.” Bhikkhu Bodhi has “inspiring sign.” The Chinese parallel SA 615 uses something like giving rise to “pure faith” (淨信), and grasping hold of a “pure sign” (淨相). Maybe a slightly different interpretation of some terms.