The question at hand is basically, can you handle spinning or not? Because Orange spins, green does not.
How do you do on the classic Tilt a Whirl, scrambler, or Cosmotron rides at the local amusement park/carnival? If these rides are a "Aw, heck no" because spinning makes you dizzy/queasy/gives you a headache, then don't do Mission Space Orange. Simple. If you enjoy these rides, you'll probably do fine with Orange- because at the end of the day, that's what it has to give you- you sitting in a car on an arm spinning real fast, to simulate G forces.
And of course the last big factor with Mission Space is "Are you claustrophobic?" Because the ride puts you in a very tight space that happens to suddenly constrict on you nice and tight right before it begins, which could be startling. This is a factor for Orange and Green, so avoid Orange AND Green if you forsee any trouble here.