TIÅMÅT / PLANETARY OBSERVATORY
A tilted world. Two suns. One revolution across 1,324 Earth years.
Orbit projected for display. Body sizes and binary separation are exaggerated. The axis marker keeps the same direction.
Radiation bands, not continents or fixed climate zones. The dark side shows instantaneous night; color shows daily-average incoming energy at each latitude.
Overhead starlight: 40.0° S
North polar night
South polar day
Closest approach reinforces southern summer. The planet moves fastest here.
ENERGY IN / HEAT RETAINED
Compare the hemispheres across the full orbit. Change reflectivity and thermal response to see why the warmest phase can arrive after the brightest one.
Solid lines include the selected response time. Dashed lines show instantaneous radiative equilibrium under the same assumptions.
THE AXIS
Tiåmåt’s north pole does not swivel to follow the stars. In this one-orbit model the spin axis stays parallel to itself, tilted 40° from the orbital normal. Each hemisphere takes its turn leaning toward the central pair.
Precession can change that orientation over longer intervals. No precession rate is assigned here. The moving day–night boundary is not a changing axial tilt.
UNEQUAL SEASONS
The overhead point travels between 40° S and 40° N. Beyond 50° latitude, each hemisphere can experience continuous daylight or darkness near its respective solstice. Highest daily-average energy need not occur at the overhead latitude.
BEYOND ONE ORBIT
Takbiru’s evolution adds a longer warming trend. Seas, ice, terrain and atmospheric circulation shape the real response. The explorer holds luminosity constant to isolate the repeating orbital seasons.
It does not include secular desiccation, ice feedback, geothermal heat, weather or the detailed response of the four moons. The civil year remains Eak’s 216 Cycles, separate from this planetary revolution.
Reference orbit: 324 AU semimajor axis, eccentricity 0.20, 1,324 Earth years, obliquity 40°. Kepler’s equation sets the planet’s position at equal time intervals; southern solstice is aligned with closest approach. Equinoxes are therefore not spaced at quarter-orbit time intervals.
The binary animation uses an illustrative circular, coplanar 20-AU relative orbit with an approximately 20.3-year period and mass ratio 18:1.4. Its starting phase is arbitrary. Heating is approximated by Takbiru’s 120,000-solar-luminosity reference value at the barycenter; the binary’s short-period variations and Takmat’s ordinary heating are omitted.
Incoming irradiance S = 1,361 × 120,000 / r² W/m², with r in AU. Hemispheric daily-area averages are QN,S = S(1 ± sin δ)/4, where δ is the latitude of overhead starlight. A fixed illustrative 35% redistribution toward the global mean moderates the contrast.
With reflectivity A, the equilibrium radiating temperature is Teq = [(1 − A)((0.65 × Q) + (0.35 × S/4))/σ]1/4. The model relaxes toward that value using dT/dt = (Teq − T)/τ. Temperatures are computed in kelvin and displayed in Celsius. The periodic solution is warmed up over multiple orbits before display.
Default albedo 0.30, redistribution 35% and response time 40 Earth years are educational assumptions, not measured properties of Tiåmåt. This temperature-relaxation model illustrates lag; it is not a coupled, energy-conserving atmosphere–ocean simulation. Greenhouse warming is not included, so a negative radiating temperature does not imply frozen seas.