Looks like your angle is radiative cooling. Plus, speaking of angles - the full kinetic energy of the particles would not be transferred to the titanium.
H LV wrote: The ship would need some way to stay to cool. Harry Robin wrote: According to wiki (https://en.wikipedia.org/wiki/Interstellar_medium) the density of matter in between stars in the galaxy is about 1E6 molecules / cm^3. We make the assumption that all of it is molecular Hydrogen. A space ship traveling at half the speed of light would encounter these molecules traveling in the opposite direction at that velocity. Assuming that the kinetic energy of these particles is calculated using 1/2 m*v^2 (it's actually more at that speed), then the power associated with the impact on the hull of the ship is about 1/2 MW /cm^2. If we further assume that the hull is made of 1/2 cm thick Titanium, then it will reach it's melting point after an exposure of 4 milliseconds. It's going to be very short trip. ;)
