Warren, we don't even possess the means to avoid asteroid/comet collisions (ie moving their orbit accurately) let alone worry about trying to move the earth in a billion years time.... In all likelihood it may be quicker, cheaper and more reliable to simply become a space fairing civilisation.... ie moving the earth is not the only option. Who knows, in 1 billion years we may possess the technology to break down all the metals the sun has manufactured back into Hydrogen and let it start it's cycle all over again.....
Cheers
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