I'm covering multiple points in this post.
[edit] Note that I can't seem to master formatting in these posts. That's why the post looks a little weird. [/edit]
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The one and only time I picked this option, the game forced me to choose between three of my best planets. This is probably bad luck, but still,unless the Strategic Resources gained scale with how good the planet is, I can't see this being worthwhile in the vast majority of cases. This is a malus, not a bonus.
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It would be really helpful if I could see which three planets I can choose from to apply the asteroid to at the same time as I'm choosing the asteroid. If, for some reason, you want to keep this a gamble, then it would at least be helpful if I could review all of my planets so that I could consider the most likely scenarios. This brings me to my next point....
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It would really be helpful if I was able to review all of the planets I have to determine which type of points my planets are most likely to produce next turn. Currently, these displays do NOT function properly while any modal windows are active. Note that the "Interference" Crisis (which hides out-of-hand planets) is NOT in effect in this example.
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Having played about a dozen games or so, having a hidden tech tree is really an annoyance. I am NOT a fan of it. I request that we go back to having an always-visible Tech Tree and eliminating "Futurology" as a Wellness bonus.