In the Table:
The total distance D in the "rest" frame
is twice the turnaround distance d;
Tc is the travel time in the rest frame
at the speed of light;
TN is the Newtonian travel time;
Tproper is comoving proper time
experienced along the accelerated world line; and
Tclock is clock time elapsed in rest frame.
D = 2 d | Tc = 2 d/c | TN = 2 √(2d/g) | Tproper = 2 τd | Tclock = 2 t(τd) | vmax = c tanh(gτd/c) |
500 km (Atlanta) | 0.00166 s | 452 s = 7.53 min | 452 s = 7.53 min | 452 s = 7.53 min | 2.2 km/s = 8000 km/h |
400,000 km (Moon) | 1.33 s | 12,800 s = 3.55 h | 12,800 s = 3.55 h | 12,800 s = 3.55 h | 63 km/s |
270 M km (Mars) | 900 s | 3.32×105 s = 3.84 d | 3.32×105 s = 3.84 d | 3.32×105 s = 3.84 d | 1600 km/s = 0.0055 c |
4.4 LY (α Centauri) | 4.4 Y | 1.30×108 s = 4.13 Y | 1.13×108 s = 3.59 Y | 1.90×108 s = 6.03 Y | 280,000 km/s = 0.95 c |
25,000 LY (galactic center) | 25,000 Y | 9.8×109 s = 311 Y | 6.1×108 s = 20 Y | 7.9×1011 s = 25,002 Y | 0.9999999968 c = c − 0.96 m/s |
2 M LY (Andromeda) | 2 M Y | 2800 Y | 28 Y | 2 M Y | (1 − 5 × 10−13) c |
13.8 G LY (visible universe) | 13.8 G Y | 230,000 Y | 45 Y | 13.8 G Y | (1 − 10−20) c |