Orbital Energy Released in a Stellar Merger Against the Radiated and Kinetic Energy of a Luminous Red Nova

This paper examines a contact binary of 1.5 and 0.8 solar masses spiralling from nine solar radii to coalescence, ejecting about 0.30 solar masses at a representative 250 kilometres per second and radiating for roughly one hundred days at a plateau luminosity near ten to the thirty-ninth ergs 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: radiated_plus_kinetic_fraction = 0.250; orbital_energy_released_erg = 7.817e+47; radiated_energy_erg = 8.640e+45. The method, inputs and limitations are stated in full so that any reader can reproduce or rescale every number from the deposited calculation script. Most envelope events are inferred long after they happen. 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.