Distribution of Bubble Energy with Galactic Latitude from the Surface-Brightness Profile

This paper examines the latitude distribution of bubble energy for the large bipolar structures above and below the Galactic Centre, using only published input values and transparent formulae. The calculation obtains the following headline results: total_model_volume_one_lobe_kpc3 = 183.3; half_volume_height_kpc = 4.09; energy_fraction_z_0_2kpc_percent = 19.3; energy_fraction_z_2_4kpc_percent = 29.2; energy_fraction_z_4_6kpc_percent = 29.2; energy_fraction_z_6_9kpc_percent = 22.3. For the latitude distribution of bubble energy, each quantity is derived step by step from the stated inputs, so that any reader can reproduce or rescale every number from the deposited calculation script. The results are compared with independent published estimates where those exist, and disagreements are reported at their actual size rather than absorbed into the assumptions, a point that bears directly on the latitude distribution of bubble energy. The conclusions are limited to what the budget arithmetic supports: the latitude distribution of bubble energy is constrained to the range the current published values permit, and the dominant remaining uncertainty is identified explicitly.