DFW said:
atpollard said:
Ok, just for fun I did the math and here are the results:
Got it. So, it's not from actually evidence. BTW, perhaps tons enters Earth's atmosphere annually. Also, hitting something 1/10 of a gram would be the equivalent to being hit by that super gun listed earlier in the thread. So, your calcs aren't close to real life data.
http://en.wikipedia.org/wiki/Micrometeoroid
The density of dust is accurate, as is the assumed geometry of the trip to a gas giant.
The Earth has about 500,000,000,000 times the frontal area of a Fat Trader and will sweep a far greater path through the cosmic dust. It is 1,500,000,000,000,000,000 times as massive as the Fat Trader and will draw far more dust into its gravity well.
All your reference demonstrates is that a 600,000,000,000,000,000,000 dTon starship with a 100,000,000,000,000 square meter frontal area orbiting the sun is pretty much screwed if it cannot withstand micro-meteor impacts.
Let’s extrapolate the 20 thousand of tons of annual Earth impacts to a 400 dT starship with 200 square meters of frontal area travelling the same path as the Earth.
20,000,000 kg of dust/year x 200 square meters of frontal area / 100,000,000,000,000 square meter frontal area = 0.004 grams of dust impacts the ship per year. If a 1/10 gram dust fragment will damage the hull, then there the ship should experience a 0.1 gram impact every 25 years.
Of course the typical impact velocity (from your wikipedia source) is “kilometers per second” – far less than your proposed super-gun equivalent event, and a starship would not spend every hour of the year travelling at in high speed to and from the outer solar system. So halving the number of impacts (the ship travels only half of the time) and halving that again (many will be at too low a velocity) yields one dangerous event per 100 years.
The math disagrees with your opinion that dangerous impacts would be common (except for Death Stars).