For hyperbolic and parabolic flybys it's common to take advantage of the Oberth effect and get the most delta-v from a propulsive impulse by doing it at the point of maximum velocity.
Question: But what are all of the other classes of spacecraft maneuvers where the Oberth effect can be used to advantage? Are any of the following situations where the Oberth effect can be used for example, or others I couldn't think of? Or special edge cases?
- plane changes in elliptical orbits?
- bi-elliptic transfer orbits? this article might say yes but I can't tell for sure.
- decelerating (retrograde) burns in parabolic/hyperbolic flybys?
- capture burns? this answer says yes
- circularization burns that increase semimajor axis?
- circularization burns that decrease the semimajor axis?
- escape-to-infinity from elliptical orbits?
- something else?