I have a poor kerbal who, due to poor planning by mission control (erm, me), is returning to Kerbin, but does not have sufficient fuel to enter orbit.
- She has 84 days of supplies left, so I'll only get one shot at a rescue.
- Her current trajectory enters Kerbin SOI in 76d 0h 50m, reaches a Periapsis of 1.97 Mm at 77d 4h 56m, then escapes Kerbin at 79d 3h 2m.
- She has 334 m/s deltaV remaining to work with.
- She's in a lander can with no heat shield (the intention was to dock with a space station upon return), so I'm not sure how safe it would be to aerobrake.
Is it feasible to mount a rescue mission to intercept her as she passes through? I'm thinking I would need to treat it like a rendezvous in solar orbit by escaping to a higher orbit, waiting for her to catch up, then coming back into Kerbin and matching velocity upon intercept. I'm uncertain how to get the timing right, though, as all my other intercept missions have involved multiple phasing orbits and simple Hohmann transfers.
Any suggestions on how to figure out the calculations? Is this even viable or is she just doomed? Can I just throw raw delta-V at the problem? (sounds like a good Kerbal solution...)
The solar orbit: