Orbital Energy Release Against Nebular Kinetic Energy for Planetary Nebula Central Binaries

This paper examines a 1.2 solar-mass giant, core 0.58 and envelope 0.62 solar masses at 160 solar radii, with a 0.50 solar-mass companion emerging at 3.5 solar radii, whose expelled envelope becomes a planetary nebula expanding at a representative 25 kilometres per second. Using published input values and the standard energy comparison between envelope binding and orbital release, the calculation addresses the specific budget that decides the outcome for this pairing. The headline results are: kinetic_fraction_of_released = 0.0256; nebular_kinetic_energy_erg = 3.853e+45; orbital_energy_released_erg = 1.506e+47. The method, inputs and limitations are stated in full so that any reader can reproduce or rescale every number from the deposited calculation script. A planetary nebula is the one envelope ejection whose debris can still be seen and weighed. Agreement and disagreement with published values for this class are reported at their actual size, and the conclusions are limited to what the budget arithmetic supports.