Possible resonance orbit with one of my probes. (Can someone do the math please?)

[Themohawkninja]

I currently have a probe that was supposed to get to Dres, but I horribly miss-estimated my launch window, so I though I would just wait a few orbits until I got really close, but the points of closest separation seem to be repeating.

Periapsis: 13,341,828,171 meters

Apopapsis: 38,543,004,848 meters

I don't know the math, and the only equation I found that looked like it was the one I needed required degrees per day, which I can't do in KSP without an external application, so if somebody would be up for it, that would be much appreciated!

[Mr Shifty]

Your semi major axis is 25,942,416,509.5m (average of periapsis and apoapsis.) That means your orbital period is 2,427,652 seconds. (=2*pi*sqrt(a^3/(GM))). This is less than a percent different than 1/2 of Dres's orbital period, so yes, you're in close resonance. You could wait like 50 of Dres's orbits, but since each one is 1 1/2 years long, that would be a long long wait.

Edited July 13, 2013 by Mr Shifty

[Themohawkninja]

Your semi major axis is 25,942,416,509.5m (average of periapsis and apoapsis.) That means your orbital period is 2,427,652 seconds. (=2*pi*sqrt(a^3/(GM))). This is less than a percent different than 1/2 of Dres's orbital period, so yes, you're in close resonance.

BUGGER!

Thanks for the math though. That's kind of neat (and annoying) that my suspicions are fact.