In 1960, a Russian engineer, Y. N. Artsutanov, proposed a "heavenly funicular," anchored by a satellite in an orbit so high that its velocity matched Earth's rotation, keeping it over the same place on Earth at all times.

Continuity of vertical velocity: At , the vertical velocities match, .

The velocity of the fiducial station in Hawaii is 70 mm/year and closely matches the rate of the background geophysical model.

There, the velocities matched.

As a result of these things, however, her intrinsic velocity did not match, anywhere nearly, that of the ground upon which she lay.

After less than five minutes clustered in normal space, their velocities so precisely matched they could have been linked by invisible rods, the six split apart and resumed warp speed.

Bodies moving through the long apogee dwell can appear still in the sky to the ground when the orbit is at the right inclination, where the angular velocity of the orbit in the equatorial plane closely matches the rotation of the surface beneath.

She leaned back in her chair and glanced at the maneuvering display, waiting until the velocity of her ship exactly matched that of Sirius, then nodded.

She'll have no choice but to accept action, and while our own velocity will never match hers, we can certainly keep her in range until she crosses the limit . . . assuming she lasts that long.

"We don't know how our velocity matches this thing," said Kim after and instant.