Parker Solar Probe will end up in it's Sun-kissing orbit though a series of Venus flyby's, which roughly pins Parker's aphelion at Venus's semimajor axis or about 108 million km. Its final perihelion will be about 6.6 million km, making its semimajor axis 114.6/2 or about 57.3 million km.
Mercury's semimajor axis is about 57.9 million km!
Is this just a manefestation of Bode's law (humorous reference to serendipity) or will it in any way be helpful to stabilize Parker's orbit, or be unhelpful?
fyi Horizons now has a projected orbit for Parker that goes out to 2025-Aug-31 so I've plotted the Sun, Mercury, Venus, Earth, and Parker in a frame rotating steadily with Mercury's period. You can see Mercury's actual path is a big loop because it's quite elliptical.
The upper plot starts just after launch on
2018-Aug-13 and the dots are today's positions:
The lower plot stars
2024-Jan-01 and you can see that it moves into what has the appearance of a resonant orbit with Venus. It may not really be resonant if there's no gravitational effect doing this, coincident parallel motion is not a true physical resonance, which happens when there is a causative exchange of energy.
It can be verified that those three or four very tight, repeating orbits begin in November 2024 after the last Venus flyby.