Slower than light tech levels

Tom Kalbfus

Mongoose
I'm developing a campaign where the Solomani Rim connects to a parallel universe through a series of wormholes. In the parallel Universe, the Jump Drive was never discovered, and neither was artificial gravity, instead the maneuver drive is used for interstellar travel, acceleration is limited to 1 g or whatever the crew and passengers can tolerate for years at a time. I tried to show the table I made as a png, but that website is not working right now so I'll just recreate the table in text here. I'll space out the columns with dashes.

Slower than light tech levels -----c = 299792458 m/sec
Tech Level Speed -----% of speed of light -----γ
0 -------0.000625 km/sec 0.00% -----1
1 -------0.0025 km/sec 0.00% -----1
2 -------0.01 km/sec ------0.00% -----1
3 -------0.04 km/sec ------0.00% -----1
4 -------0.16 km/sec ------0.00% -----1
5 -------0.64 km/sec ------0.00% -----1
6 -------2.56 km/sec ------0.00% -----1
7 -------10.24 km/sec ----0.00% -----1.000000001
8 -------40.96 km/sec ----0.01% -----1.000000009
9 -------163.84 km/sec ----0.05% -----1.000000149
10 -------655.36 km/sec ----0.22% -----1.000002389
11 -------2,621.36 km/sec ----0.87% -----1.00003823
12 -------10,480.63 km/sec ----3.50% -----1.000611648
13 -------41,618.07 km/sec ----13.88% -----1.009777455
14 -------149,774.30 km/sec ----49.96% -----1.154387706
15 -------285,737.82 km/sec ----95.31% -----3.304731592
16 -------299,752.39 km/sec ----99.99% -----61.16588226

These velocities are the cruising velocities. The initial assumption is that each tech level can reach a crusing velocity that is 4 times that of the previous one, until the speed of light is approached, then I use the formula (current velocity - previous velocity) * γ (gamma) = 3 times previous velocity. Up to tech level 12, fusion torchships are used, the accelerate at 1g until they reach 3.5% of the speed of light then they coast until they get close to their destination, and then they slow down until they match the velocity of the target system. At tech level 13 and above the starships are interstellar ramjets, they ionize interstellar hydrogen ahead of the ship and magnetic fields funnel the hydrogen into the ramjets fusion reactor, interstellar drag represents a limit to the top speed of the ramjet, but higher tech levels get better at overcoming this limit.

So what do you think?
 
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