On the transfer of radiation at asteroidal surfaces in relation to their orbit deflection - I

Details On the transfer of radiation at asteroidal surfaces in relation to their orbit deflection - I On the transfer of radiation at asteroidal surfaces in relation to their orbit deflection - I

May 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998mnras.296..662y&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 296, Issue 3, pp. 662-668.

Astronomy and Astrophysics

Astronomy

1

Radiative Transfer, Minor Planets, Asteroids

Scientific paper

One of the methods discussed in deflecting the orbit of an Earth-colliding asteroid is the use of nuclear explosives. In assessing its feasibility, apart from political considerations, it is important to quantify how effective it is in orbit deflection. The transfer of radiation incident at the surface is governed by a non-linear diffusion equation. For low-yield explosions with a slab geometry (S_0~=10^8 kJ mus^-1), the temperature at depth x and time t is well approximated by a similarity solution of the form T(x, t)=T_0 f(xi), xi=x/(T ^n_0t)^1/2, with T_0 given by (S_0/sigma)^1/4, where sigma is the Stefan-Boltzmann constant, n is an index that specifies the radiation transfer and f(xi) is the solution of a non-linear differential equation subject to the condition f(0)=1 and lim_xi-->∞f(xi)=0. For high-yield explosions (S_0~=10^10 kJ mus^-1), numerical solutions to the non-linear diffusion equation can be obtained. These solutions have properties similar to the case of low-yield explosions. If the duration of the explosion is dx10^-8 s, where d is close to 3, the fraction of energy absorbed by the surface is found to be 7, 12 and 23 per cent for S_0=10^8, 10^9 and 10^10 kJ mus^-1 respectively.

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