N1206
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One other big problem: Constant acceleration.
I think a gigatonne is probably on the low side for a total mass, but you may have solar sails, or boost, or directed coronal mass ejections or some other fanciness on the go, but consider the energy requirements in the first second of the flight at a constant 10 m/s:
KE = 1/2 mv2
m being a terakilo, and v being ~10 m/s means that you got to have an engine that can produce ~50 TW of usable power. 24 hrs a day, 365 days a year, that's 438000 TWh. In 2019 humanity as a whole was using around 170,000 TWh (https://ourworldindata.org/energy-production-consumption)
So, your accelerations are unlikely to be constant, and your trip time will be different than you first proposed. McGuffin up your power supply and have it putting out constant power. Your acceleration will ramp up as you chew up fuel and reaction mass, but 10 m/s off the start is going to break your science, unless you McGuffin up direct mass-to-KE conversion reactionless drive technology.
And Newton still applies: for every action there is a an equal and opposite reaction. To get a gigatonne going one direction, something has to get accelerated the opposite direction. I think maximum velocity is ~2.5 the speed of the thrust matter. So you are looking at trying to whistle up stuff to around 0.25 c. In how short a distance could you do that? SLAC is about 3.2 km long. Without mucking about with relativity, you would be looking to apply 50 TW of energy to a reaction mass such that it whistles up to 0.25c. That calculation doesn't look too impossible in terms of firing reaction mass out the back, but every ounce of mass needed to get things going is 100 ounces more of fuel and reaction mass.
I think a gigatonne is probably on the low side for a total mass, but you may have solar sails, or boost, or directed coronal mass ejections or some other fanciness on the go, but consider the energy requirements in the first second of the flight at a constant 10 m/s:
KE = 1/2 mv2
m being a terakilo, and v being ~10 m/s means that you got to have an engine that can produce ~50 TW of usable power. 24 hrs a day, 365 days a year, that's 438000 TWh. In 2019 humanity as a whole was using around 170,000 TWh (https://ourworldindata.org/energy-production-consumption)
So, your accelerations are unlikely to be constant, and your trip time will be different than you first proposed. McGuffin up your power supply and have it putting out constant power. Your acceleration will ramp up as you chew up fuel and reaction mass, but 10 m/s off the start is going to break your science, unless you McGuffin up direct mass-to-KE conversion reactionless drive technology.
And Newton still applies: for every action there is a an equal and opposite reaction. To get a gigatonne going one direction, something has to get accelerated the opposite direction. I think maximum velocity is ~2.5 the speed of the thrust matter. So you are looking at trying to whistle up stuff to around 0.25 c. In how short a distance could you do that? SLAC is about 3.2 km long. Without mucking about with relativity, you would be looking to apply 50 TW of energy to a reaction mass such that it whistles up to 0.25c. That calculation doesn't look too impossible in terms of firing reaction mass out the back, but every ounce of mass needed to get things going is 100 ounces more of fuel and reaction mass.
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