Stellar Wind Ram Pressure at Habitable-Zone and Close-In Planet Orbits

This paper examines wind ram pressure at the orbits of potentially habitable and close-in planets for Proxima Centauri b, TRAPPIST-1 e, Kepler-186 f and HD 189733 b, with Earth as a calibration point, using published input values and transparent formulae throughout. The headline computed results are: proxima_b_ratio_to_earth = 85.02; trappist1e_ratio_to_earth = 584.41; kepler186f_ratio_to_earth = 5.36. Each quantity bearing on wind ram pressure at the orbits of potentially habitable and close-in planets is derived in the deposited calculation script from the stated inputs, so the full chain from published value to conclusion for Proxima Centauri b, TRAPPIST-1 e, Kepler-186 f and HD 189733 b, with Earth as a calibration point can be audited and rescaled. The discussion of wind ram pressure at the orbits of potentially habitable and close-in planets compares the outcomes with independent published estimates, identifies the input to which each result is most sensitive, and confines the conclusions to what the arithmetic supports. Where the computed values for Proxima Centauri b, TRAPPIST-1 e, Kepler-186 f and HD 189733 b, with Earth as a calibration point confirm earlier estimates, the confirmation is meaningful because no adjustable parameter was available to force agreement on wind ram pressure at the orbits of potentially habitable and close-in planets; where they differ, the size and likely origin of the difference are stated directly.