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Ah, the 1.3kg includes the chopter itself? That is too bad. Well, the RX100 is also a nice camera.
Wait, so the Phantom 2 + Gimbal + downlink = 1000g + 230g + 22g + 60g = 1312g, so the camera should weigh -12g to hit the max payload weight? How does that work?
The 230g for the gimbal is including the Gopro. So it's quad= 1000 + gimbal & camera = 230 + downlink tx with antenna = 50 g => Total of 1280g which is slightly below the max recommended takeoff weight.
Having said that, it's only a recommendation. People have done stuff such as mounting a full DSLR on them:
.. and that was on a Phantom 1 that had smaller propellers and a lower recommended take off weight.
I would not do something as extreme though for a couple of reasons:
1) It will drain your battery much quicker.
2) It will fly like crap, making it more likely that you hit things
3) It might work OK when there's no wind, but a strong gust of wind might make it crash
Hmm. The Panasonic GM1+kit lens is 274g, as far as I can tell, which is in the same ballpark as the RX100 II. The sensor has about twice the area, so I presume a higher image quality, especially around dusk, which could be significant.
That could definitely work, but you'd still need some way of triggering the shutter. The RX100 II has Wi Fi which you can use (although not a brilliant idea in itself as the Tx uses the same frequency: http://blog.chasejarvis.com/blog/2013/12/dji-drone-fail-over-iceland-waters-chasejarvistech/ )