MeteorWayne":2vlspvg4 said:
Sorry, it is you that is wrong...though I won't say completely. The difference is that the moon is in orbit around the earth, so that the overall relative velocity is zero. Also, the moon has 1/6 the earth's gravity which aided the deceleration required to enter lunar orbit. Aphophis has effectively no gravity to help. Also it is moving 16,700 mph relative to the earth, look at it as sideways across the sky, while the moon remains the same distince from earth (roughly) all the time. Look carefully at my post on page 1. During a two week landed mission, you must intersect the asteroid at > 11 LD, decelerate to match the speed, then 2 weeks later you have to shed the speed from 11 LD away and delta V your way back to earth.
No, you miss the point. The whole reason why Apollo had to decellerate is because the relative earth-moon speed is zero. The moon is 250,000 miles away, so to GET to the moon, Apollo had to ACCELERATE to about 24,000 mph (seeing as how the earth and moon are not collocated) and then DECELERATE to 0 mph, because as you pointed out the relative speed of the earth and the moon is zero.
To travel to Apophis on the other hand, a spaceship could accelerate to say 24,000 mph, but then it would only need to decellerate to 16,000 mph, since the RELATIVE speeed of earth/Apophis is 16,000 mph. Losing 8,000 mph is not an insurmountable task. (Granted at 8,000 mph relative speed, it will take your ship longer to get to Apophis, but that is still one LD about every 30 hours.) Then on the return to earth, you start off with 16,000 mph of speed (if you exit before Apophis reaches earth), which puts you ahead of Apollo which started on its return trip with 0 mph of speed (that whole relative speed = 0 thingy again). And then you use the earth's gravity to slow down, just like Apollo did. This is VERY dooable.
BTW, I do not understand your fixation with a two-week surface mission. Are you aware that EVERY Apollo moon landing was less than three days, with the exception of Apollo 17, which was 3 hours over three days. Surely, it is not your position that no useful science was conducted in the Apollo program because the landings were only three days. Thus, for a three day surface mission, it would be necessary to travel only about 5 LDs, stay on Apophis for three days, and then exit Apophis BEFORE it reaches earth (well under 1 LD), and the ship would be starting with 16,000 mph of speed (as opposed to Apollo, which was starting with relative speed of 0). Then use the rockets to get a gravity assist from earth (the ship would be close enough that there would be no reason to get any additional speed, although of course some propulsion would be necessary to leave Apophis and not miss earth on the way back.) Once again, this is highly doable and I believe would capture the world's attention, especially because some day we may have to do something to a NEO asteroid.