The Enterprise E transporter has a range of 40,000 km, yet Picard's team beamed up at least 360,000 km from Earth to Enterprise hiding near the moon, and the Vulcan sensors never detected the transport (AFAIK).
PICARD: Picard to Enterprise. Energise.
WORF: The moon's gravitational field obscured our warp signature. The Vulcans did not detect us.
In Bozeman, Montana, on April 5, 2063 the moon will be closest around 7:00pm which is about the right time we saw the T'plana-Hath land. But, earlier, LaForge showed Cochrane the Enterprise in orbit through a telescope, so she was plainly visible if the Vulcan ship arrived - and the Vulcans will have sensors. When Picard beamed up, the Enterprise was hiding in the Moon's gravitational field, and I have to assume she was also hiding from Vulcan visual sensors. This means she had to be no less than 363,104 km away in the best case scenario.
So there are two distinct problems here: The distance transported, and transporting without Vulcan detection by the survey ship's sensors.
How did Picard transport to the Enterprise, which was hiding its warp signature in the Moon's gravitational field and hiding from sight? Why wasn't the transport picked up on Vulcan sensors?
- I'm assuming the Vulcan ship is smart enough to see everything orbiting Earth to avoid hitting anything, like the thousands of satellites drifting around up there. A starship within 40,000 km might be easy to spot?