Stellar Cartography: Alpha Centauri B...

 Apparently that is Proxima B, so a quick adjust of the image and...

Hot Jupiter spotted.

Distance from centre: 0.8632 Rsolar (10 Diameters from the Star centre), 0.0040142817AU
Radius:
       Of Star: 0.8632 Rsolar (10 Planet diameters)
      Of Planet: 0.08632 Rsolar
Temperature (Planet): 3382K
Period (Days): 0.09754

Sufficiently close enough to turn Gas Giant CO2 into graphite Dyson shell.

Planet Name: Hot-pot
Star: Alpha Centauri B
Semimajor Axis: 0.0040142817AU thats inside the star.
Temperature (Planet): 3382K
Period (Days): 0.09754
Radius (Planet): 0.08632 Rsolar

I must be wrong because at that orbit and distance from star its at 25% the speed of light. Unless there is a Dyson Sphere in close to the star doing 0.25 light speed...

Update: we are good...

   0.15 percent of the speed of light = 449 688.687 m / s   
Circumference is 2*pi*r =0.0252223172 AU circumference.
3,773,204,950 metres.
Time is 8427.456 seconds
3773204950/8427.456=447,727.6357 metres/second. 
This planet would only be doing slightly less than 0.15 light speed. 

Much more reasonable.


Update: this is better

Planet Name: Hot-pot
Star: Alpha Centauri B
Semimajor Axis: 0.006690472678432314 AU
Temperature (Planet): 2852K
Period (seconds): 18,114 seconds
Radius (Planet): 33,362 km (Jupiter: 69,911 km)
Orbital velocity: 0.00115804919 x light speed (>1% light speed)

This is what I would describe as a diamond class dyson sphere. The temperature reduced its atmosphere to a graphite shell around the core and the 'gravity' induced by the 1%+ orbital velocity likely turning it into diamond.