Magnetotail Lobe Magnetic Energy and the Substorm Energy Budget at Earth

This paper computes magnetotail lobe magnetic energy and the substorm energy budget at earth from stated published inputs, using algebraic relations whose every step is deposited as executable code. Across the cases computed, ratio to substorm 1e15J spans 1.01 to 16.2. The first case gives lobe field nT 10; energy density J m3 3.98e-11; lobe volume m3 2.54e+25; stored energy J 1.01e+15; ratio to substorm 1e15J 1.01. The last case gives lobe field nT 40; energy density J m3 6.37e-10; lobe volume m3 2.54e+25; stored energy J 1.62e+16; ratio to substorm 1e15J 16.2. 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.