Total Energy Stored in the Electron Radiation Belts of Earth, Jupiter and Saturn

This paper computes total energy stored in the electron radiation belts of earth, jupiter and saturn from stated published inputs, using algebraic relations whose every step is deposited as executable code. Across the cases computed, total energy J spans 6.21e+11 to 1.37e+17. The first case gives body Earth; peak energy density J m3 2.00e-11; effective volume m3 3.10e+22; total energy J 6.21e+11. The last case gives body Saturn; peak energy density J m3 1.00e-10; effective volume m3 5.92e+25; total energy J 5.92e+15. The calculations are simulated and computed from the stated assumptions; they are not measurements. Where a comparison against the Aldred Limit density bound is made, the bound values used are 9.72e54 g per cubic centimetre for a neutron carrier and 2.87e48 g per cubic centimetre for an electron carrier, and the size of any separation found is reported plainly, including where the result is that the bound does not constrain the magnetospheric quantity in question.