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[Mandemon]

 Now, I've heard that some people say that Normandy could have jsut jumped to Charon relay with FTL and then I've heard that Normandy is in normal FTL.

Now, we know that average speed of non-mass relay FTL is 12 LY/day, which means ~1,38*10^-4 LY per minute, or 0,000138 LY per minute. 
. This is afigure that was thrown around here, if someone has more accurate details please provide them to me. 

Assuming Joker jumps right after Harbinger leaves without schooping down and picking up your crew, that gives him 15-20 minutes.

Charon relay orbits Pluto, which at the shortest, is 29.657 AU from sun. Earth orbits in 1 AU from sun, giving minimun distance 28,657 AU. 1 LY = 
63 241,1 AU, which gives us 1 AU = 1,58*10^(-5) LY or
0,0000158 LY , if we use same precision as previosuly.

That means time it takes to move from Earth to Pluto is atleast 
 0,0000158 LY/ 0,000138 LY/Min = 0,114 Min. That would make sense, if it weren't for the fact that he flew past Reaper armada, abandoning his post, landed, waited untill your squad jumped into the ship, flew back into orbit and FLT'd to relay. This is assumin that while he was on Earth no Reaper tried to shoot him and that there was suitable landing area in middle of ruined sky scrapers.

Now, for those who say that he wasn't in Relay FTL, that he used normal FTL that is even worse case.

In 20 minutes, assuming starting from the moment Shepard wakes up he kicks in the FTL, he can travel distance of 20 min * 
0,000138 LY/Min = 0,00276 LY, AKA 174,545436 AU. In that distance he leaves Sol system, but won't reach even the closest star, Proxima Centauri which is closest start to Earth not counting Sun. Proxima Centauri is 
~268 000 AU from Sun.

This would mean Normandy is stranded in space between stars. To have them crash land on jungle world during a day they would need to find a planet that orbits a star and like said earlier, there is no way they could do that.