- #71
John Strickland
- 14
- 11
Here are some basic values and relationships for interstellar flight.
A light year is about 6 trillion miles or about 10 trillion kilometers. If the Centauri system is exactly 4 light years distant, it is then 40 trillion km distant. If you could travel at exactly 0,1 C for the whole trip, the trip would last 40 years, allowing no time to accelerate and decelerate. A destination 12 light years away would be 120 trillion kilometers distant and a trip would take 120 years.
In reality, most of the time for nearby stars (within 8 light years or so, most of the trip time is accelerating and decelerating. Any starship has some maximum delta-V value. This is determined by the ship's actual thrust and its mass ratio, (wet mass - with fuel divided by dry mass). The higher the mass ratio, the faster the ship can go as an average velocity and the larger the total delta-V capacity value is.
The Delta-V capacity must be divided among the acceleration phase, the deceleration phase, and the terminal maneuver phase, as well as some kind of reserve. The mass ratio for the whole voyage is a single value, but the mass ratio for each PHASE of the trip is a component of that value, as the acceleration for each phase is different. If there is a cruise phase, no fuel is used. For example, in a given design, the total delta-V capacity might be 61,000 km/sec or 0.203 C. The acceleration phase uses 30,000 km/sec, and the deceleration phase uses the same amount, while 1000 km/sec is reserved for maneuvers in the destination star system.
Note that the mass ratio for the deceleration phase would be very different than that for the acceleration phase, since most of the fuel is already gone by the start of the second phase. Part of the acceleration phase is accelerating the fuel that will be used to decelerate. If we had an arbitrary 10 million metric ton ship, that had 1 billion tons of propellant on board, its starting mass ratio would be 100: 1000 million / 10 million.
But then in the second phase, depending on the actual thrust, the ship will have probably used up say 800 million tons of fuel, so the deceleration mass ratio is now 200/10 or 20. The mass ratio for the acceleration phase mass ratio would be 1000 million over 210 million or 4.76. This means the starting deceleration will be about 5 times higher than the starting acceleration. The deceleration fuel is precious, since there is less of it but ton for ton, it is now 5 times more effective. The mass ratio for the second phase is now higher, and the ship has the SAME THRUST it had at the start, so the deceleration time will be much shorter than the acceleration time. The exact values depend on the ships mass, thrust and mass ratio during each phase.
Fusion engines do not produce a lot of thrust for the energy they use. For an engine using the He-D reaction, my 7-engine cluster uses a staggering 484.4 kilograms of fusion fuel per second. A significant part of this mass gets turned into energy, heat, and a release of X-rays, infrared radiation, neutrons and fusion products hopefully directed away from the rear of the ship, Unless the engine is large enough and cooled actively, the engine will be vaporized in short order.
Each engine puts out a staggering 2000 terawatts, with the cluster of 7 putting out 14,000 terawatts of power. Note that the sunlight hitting the Earth is 174,000 terawatts, so this one ship is generating 8% of all the power the sun gives the Earth. Yet for all this heat output, the total thrust is only about 400,000 metric tons (depending on the fusion reaction and the formula used to calculate the thrust!), and pushing against a 10 million ton starship with 1 billion tons of fuel on board produces a starting acceleration of (about) 0.4 million / 1000 million = or 4/10000 of a G or 1/2500th G. This shows why the acceleration phases for star voyages take a long time. As the fuel gets used up, the ship accelerates faster and faster.
When designing an interstellar vehicle, you do need to start with these realities. The scale of the challenge is huge, but the reward would also be world-changing - literally, as it would allow humans to spread among the stars.
.
A light year is about 6 trillion miles or about 10 trillion kilometers. If the Centauri system is exactly 4 light years distant, it is then 40 trillion km distant. If you could travel at exactly 0,1 C for the whole trip, the trip would last 40 years, allowing no time to accelerate and decelerate. A destination 12 light years away would be 120 trillion kilometers distant and a trip would take 120 years.
In reality, most of the time for nearby stars (within 8 light years or so, most of the trip time is accelerating and decelerating. Any starship has some maximum delta-V value. This is determined by the ship's actual thrust and its mass ratio, (wet mass - with fuel divided by dry mass). The higher the mass ratio, the faster the ship can go as an average velocity and the larger the total delta-V capacity value is.
The Delta-V capacity must be divided among the acceleration phase, the deceleration phase, and the terminal maneuver phase, as well as some kind of reserve. The mass ratio for the whole voyage is a single value, but the mass ratio for each PHASE of the trip is a component of that value, as the acceleration for each phase is different. If there is a cruise phase, no fuel is used. For example, in a given design, the total delta-V capacity might be 61,000 km/sec or 0.203 C. The acceleration phase uses 30,000 km/sec, and the deceleration phase uses the same amount, while 1000 km/sec is reserved for maneuvers in the destination star system.
Note that the mass ratio for the deceleration phase would be very different than that for the acceleration phase, since most of the fuel is already gone by the start of the second phase. Part of the acceleration phase is accelerating the fuel that will be used to decelerate. If we had an arbitrary 10 million metric ton ship, that had 1 billion tons of propellant on board, its starting mass ratio would be 100: 1000 million / 10 million.
But then in the second phase, depending on the actual thrust, the ship will have probably used up say 800 million tons of fuel, so the deceleration mass ratio is now 200/10 or 20. The mass ratio for the acceleration phase mass ratio would be 1000 million over 210 million or 4.76. This means the starting deceleration will be about 5 times higher than the starting acceleration. The deceleration fuel is precious, since there is less of it but ton for ton, it is now 5 times more effective. The mass ratio for the second phase is now higher, and the ship has the SAME THRUST it had at the start, so the deceleration time will be much shorter than the acceleration time. The exact values depend on the ships mass, thrust and mass ratio during each phase.
Fusion engines do not produce a lot of thrust for the energy they use. For an engine using the He-D reaction, my 7-engine cluster uses a staggering 484.4 kilograms of fusion fuel per second. A significant part of this mass gets turned into energy, heat, and a release of X-rays, infrared radiation, neutrons and fusion products hopefully directed away from the rear of the ship, Unless the engine is large enough and cooled actively, the engine will be vaporized in short order.
Each engine puts out a staggering 2000 terawatts, with the cluster of 7 putting out 14,000 terawatts of power. Note that the sunlight hitting the Earth is 174,000 terawatts, so this one ship is generating 8% of all the power the sun gives the Earth. Yet for all this heat output, the total thrust is only about 400,000 metric tons (depending on the fusion reaction and the formula used to calculate the thrust!), and pushing against a 10 million ton starship with 1 billion tons of fuel on board produces a starting acceleration of (about) 0.4 million / 1000 million = or 4/10000 of a G or 1/2500th G. This shows why the acceleration phases for star voyages take a long time. As the fuel gets used up, the ship accelerates faster and faster.
When designing an interstellar vehicle, you do need to start with these realities. The scale of the challenge is huge, but the reward would also be world-changing - literally, as it would allow humans to spread among the stars.
.