Auroral Power as a Fraction of Intercepted Solar-Wind Power at Earth, Jupiter and Saturn

This paper computes auroral power as a fraction of intercepted solar-wind power at earth, jupiter and saturn from stated published inputs, using algebraic relations whose every step is deposited as executable code. Across the cases computed, efficiency pct spans 1.14 to 4.2. The first case gives body Earth; auroral power W 1.00e+11; intercepted power W 2.74e+12; efficiency pct 3.65. The last case gives body Saturn; auroral power W 1.00e+11; intercepted power W 8.79e+12; efficiency pct 1.14. 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.