Spawn on a solar escape trajectory?

[arctangent]

I'd like to spawn something in a solar escape trajectory. I can spawn in an escape trajectory out of, say, Kerbin SoI, by spawning in a solar orbit in a position that happens to be inside Kerbin SoI at the time, but that doesn't work for the Sun because it doesn't have a parent body. It seems to be impossible but maybe I'm missing something?