Yes, they have onboard nav/state vector propagation systems. I don't think onboard burn targeting is generally provided though (eg, for MCCs).Don't the spacecraft also have a rudimentary internal navigation as a backup? Something along the lines of taking in to account all engine burn times, amounts of thrust applied, and in witch vector, and for how long. Also taking in to account star-tracking data, and anything else the spacecraft can measure. And determining from that what the orbit should be.
Ain't it just? Cool what they could do with so little processing power, and cool that they could use optical celestial navigation just like in the golden ages of maritime exploration. Ever since I started exploring optical navigation in Orbiter, I have been itching to get my hands on one of these from the Australian National Maritime Museum (of which I am a member):That's very cool, I didn't know they could do that.
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