[grammar nazi]
no because it has to accelerate to one G

Since one G is a measure of acceleration, you are really saying "No because it has to accelerate to a known acceleration" which doesn't make any sense. It could accelerate at a rate of 0.01m/s/s until the sun implodes, and would still not get to 1G. (It'd still be at 0.01m/s/s, ignoring gravitational effects from the aforementioned solar catastrohpy)

What I think you meant to say was "It's acceleration has to increase to 1G".

[/grammar nazi]