The Perihelion Family of a 10,000-Year Period Super-Earth: Orbital Dynamics, Geothermal Freeze Mitigation, and Time to Breathable Oxygen under the Dew-Point Anchor Hypothesis

This thought experiment examines a super-Earth in a 10,000-year eccentric orbit around Sol. It explores the perihelion family and shows that sufficiently close perihelia allow repeated photic-zone access for extremophile photosynthesis. A credible super-Earth geothermal heat flow (0.5–1.5 W m⁻²), using Jupiter and Venus as geologic analogues, greatly reduces the aphelion deep-freeze. A sensitivity table shows human-breathable oxygen levels can be reached in 1.5–2.5 Gyr after formation. The Dew-Point Anchor Hypothesis governs climate structure during each warm passage.