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This paper computes, from stated assumptions and published system parameters, the quantities named in its title and compares them directly with published observational values for the same systems. The headline results are: lambda_H_TRAPPIST1e = 7.054, lambda_O_TRAPPIST1e = 112.9, lambda_H_LHS1140b = 34.8. Each number is produced by the deposited computation script from the inputs listed in the Methods, with no fitted parameters beyond those stated. The comparison shows where the simplest physical relation already accounts for the observations and where it falls short, and the shortfalls are stated plainly rather than absorbed into additional free parameters. This study is simulated and computed from stated assumptions; it is not a measurement.
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William Alexander Aldred (2026) studied this question.
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