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1

One of the STEREO satellites has been at the earth-sun L4 point, so we have "looked behind the sun", and verified that there is no counter-earth there. That was not the purpose of their mission though.


3

According to the Wikipedia article Counter-Earth, this idea has been floated around for millennia. However, modern day earth-bound techniques would easily detect a 'Counter-Earth' via the following (but not limited to) these methods: Gravitational perturbations would have been observed to have occurred on the other planets (terrestrial) As Earth's orbit ...


1

It would be detectable due to its gravity effect on other planets, comets and the Sun. Check these sites for further info: http://en.wikipedia.org/wiki/Counter-Earth#Scientific_analysis http://en.wikipedia.org/wiki/Lagrangian_point#L3


0

There is a very nice web-based utility called Staralt that I frequently use before observing runs. This has lots of observatories pre-programmed or you can put in your own latitude and longitude AND altitude (can you do that in Stellarium?). To quote the website - "you can plot altitude against time for a particular night (Staralt), or plot the path of ...



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