In my previous question, I asked how much mass the Sun would have to lose in order for Saturn's orbital velocity to be its escape velocity.
The answer proved to be somewhat unexpected - when the Sun loses about half of its mass, every planet will escape from the Sun's remaining gravity at about the same time.
So this is the promised follow-up question:
What plausible, believably feasible (not necessarily absolutely physically valid) method could be posited as a way for the Sun to lose 50% of its mass, without going through some catastrophic process?
Criteria and limitations:
A. Must occur within a millennium or two.
B. Should not involve intervention of some 'superior alien intelligence', but must be derived from some plausible natural event. (Somewhat lenient on this, but any alien intervention must be completely independent of the Solar System and not require any presence in the Solar System. That is, extraneous 'spooky action at a distance')
C. Must not create any phenomena that would have devastating consequences on life on the planets (i.e.: no radiation, excessive heat, energy surges) except for the diminishing of the Sun's current Solar contributions. The Sun just reduces in size, energy, and mass, but otherwise functions normally.
D. Once the planets are clear of the system, what happens to the sun thereafter is irrelevant.
E. The removed mass of the Sun must be done in such a way that the removed mass no longer contributes to the gravitational effects of the Sun.
F. The current position of the sun as the center of the Solar System can not be altered (Newton's Laws must be enforced).
G. The ejected mass can not itself become an alternative gravitational center sufficient to influence the planets, but must be dispersed into the galactic void. However, it is allowable for it to collect again and form a significant gravitational source somewhere else. The ejected mass does not necessarily need to reach escape velocity, but by some effect widely dispersed or otherwise relocated.
H. It is allowable that, if the mass depletion occurs over time, the planetary orbits can correspondingly move away from the Sun until they reach escape velocity, with all attendant effects of doing so permitted.
Assume that the life on the planet is not dependent on energy from the Sun, but on independent locally sourced forms of energy. That is, life on the planet can be supported absent the Sun (No need for Solar light, heat, energy, gravity, or other Solar contributions). With that in mind, if any of these criteria are modified, then the modification must not effect the viability of life on or physical integrity of the planets, in any way.
The method does not necessarily have to be under the control of any intelligent intervention, preferably not from any intervention from within the Solar System. Note, this is not a criteria.
Note this does NOT have a hard science tag. The effect can be caused by some as-yet-unknown but plausible scientific concept.
EDIT
The Solar System does not absolutely have to be our solar system, but my planet-moon combo is based on Saturn or Jupiter. Humans are not a factor, and thus their intelligence and fate is inconsequential.
Another EDIT
Please also recall that, as the Sun loses mass, its gravity decreases and further mass loss will take less energy. That is, the remaining mass is not as tightly held as the starting mass. This fact may or may not be useful in your answer.
Clarification EDIT
Some may be thrown off by criteria C. The restriction on life is clarified by the later assumption stated after H. As long as the planets remain physically intact and maintain their integrity and general composition, criteria C is met. The planets have the same general structure, chemistry, and geological features.