Well, the scenario is "optimistic" and happens in about 80 years from now. It's a joint effort between US (Nasa), europeans (ESA) and China (I don't know the name of their space agency). China will be a strong superpower at that time (it is already). It's "optimistic", since I don't think any man will really go to Mars before a century, since the global warming and pollution on Earth implies HUGE economy costs and the global economy will fall (did you saw that report, from the British economist ?). No real manned missions to the Moon and Mars in the future
Anyway, the ship was built in orbit around the Moon. It has a lenght of about 400 meters (radius 200 m). The main sphere (command module on the front) has a radius of about 25 meters. There's a rotating cylinder inside (about 20-24 meters radius), which rotates with a period of about 10-12 seconds. This creates a gravity inside of about 75% that of Earth. The grapes behind the main module are holding water, oxygen and nitrogen for the crew (about 8 persons) and also to the colonists on Mars. The big tanks behind are holding beer

. The ship's mission is to explore Mars, Jupiter ... and beyond. Could go to Saturn and study Titan.
In the ~2090, we should have quantum supercomputers and master superconductivity and nanomaterials. So the spheres in the middle are strong magnetic shield generators used to deviate the lethal cosmic rays. I can't tell if this is "realistic" or not. Probably all BS !
Here's another view of the model. I'll publish it in about a week :

"Well! I've often seen a cat without a grin", thought Alice; "but a grin without a cat! It's the most curious thing I ever saw in all my life!"