How do we know that there isn’t a planet similar to Earth in the same orbit as Earth on precisely the other side of the sun?[sup]1[/sup] We wouldn’t be able to see it because the sun would be in the way.
It would have to have similar mass, and be almost exactly the same distance away from the sun, and in order for us never to have ever observed it, its orbital period would have to be precisely the same length as ours.[sup]2[/sup]
Besides the fact that the existence of this planet is ludicrously improbable, is there any way to disprove it? For example, I know the gravity of the sun bends light. Would light from our hypothetical planet reach us by bending around the sun, or would it be too close? Do we have pictures of that presumably empty spot in space taken from Voyager probes? Would any other orbits in our system be affected in any detectable way by this planet?
[sup]1[/sup] Is this the basis of a S.F. story I’ve read? Have I heard this idea somewhere?
[sup]2[/sup] Well, actually, it would only have to be fairly close: if our mystery planet were only hiding behind the sun for the past few decades, it would elude radio telescopy. But if the orbital period were dissonant enough with Earth that it would not have been behind the sun in days of yore, our ancestors STILL wouldn’t have detected it because it would be visible only during the day, and thus obscured by the atmosphere.