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Spacecraft Thermal Analysis

Calculate equilibrium temperatures, evaluate hot/cold case scenarios, and analyze power balance for any orbit and surface configuration.

Orbit Configuration

400 km
200km36000km

LEO

51.60 °
0°90°

Inclined

30.00 °
0°90°

Sun angle to orbital plane

Eclipse Fraction0.0%
Sunlit: 100.0%Eclipse: 0.0%
Earth View Factor0.3307

Spacecraft Configuration

m\u00B2

Total outer surface area of spacecraft

W

Total waste heat from electronics and payloads

0.30
0.011
0.80
0.011
α/ε Ratio0.375

Cold-biased (emits more than absorbs)

Key Constants

Solar Flux (1 AU)1361 W/m²
Earth IR237 W/m²
Earth Albedo0.3
Stefan-Boltzmann (σ)5.67e-8 W/m²K
T = (Q_total / (ε × σ × A))¹
Q_total = αSA_sun + Q_int + Q_albedo + Q_earthIR
Hot Case
-25.6
°C
Sunlit equilibrium
Cold Case
-92.8
°C
Eclipse equilibrium
Orbit Average
-25.6
°C
Time-weighted mean

Temperature Limits Check

HotCold1/6 Pass
CPUElectronics
-40°C to 85°CFAIL
Cold case (-92.8°C) below min (-40°C).
BATBatteries (Li-ion)
0°C to 45°CFAIL
Cold case (-92.8°C) below min (0°C).
PROPPropellant (Hydrazine)
7°C to 40°CFAIL
Cold case (-92.8°C) below min (7°C).
SOLSolar Panels
-100°C to 100°CPASS
STRStar Trackers
-20°C to 50°CFAIL
Cold case (-92.8°C) below min (-20°C).
RWLReaction Wheels
-10°C to 50°CFAIL
Cold case (-92.8°C) below min (-10°C).

Thermal Control Techniques

PASSIVE

Surface Coatings

Paints and surface treatments to control alpha/epsilon ratios. White paints reflect solar energy; black coatings maximize radiation.

Mass: Negligible (<0.1 kg/m²)
Power: None
Cost: Low ($1K-10K)
Effect: Moderate - limited by alpha/epsilon ratio
PASSIVE

MLI Blankets

Multi-layer insulation using alternating reflective films and spacers. Reduces radiative and conductive heat transfer by 10-100x.

Mass: Low (0.5-1.5 kg/m²)
Power: None
Cost: Moderate ($5K-50K/m²)
Effect: High - primary insulation method
PASSIVE

Heat Pipes

Sealed tubes with working fluid that transfers heat via evaporation/condensation. Effective over short to medium distances.

Mass: Moderate (0.3-1.0 kg per pipe)
Power: None
Cost: Moderate ($10K-100K each)
Effect: High - conductance 100x copper
PASSIVE

Radiators

High-emissivity panels that reject waste heat to space via radiation. Sized based on worst-case hot dissipation.

Mass: Moderate (2-5 kg/m²)
Power: None
Cost: Moderate ($20K-200K/m²)
Effect: High - primary heat rejection
ACTIVE

Heaters

Electric resistance heaters (patch, cartridge, or strip) to maintain minimum temperatures during eclipse or cold cases.

Mass: Low (10-100 g each)
Power: Moderate (1-50 W each)
Cost: Low ($500-5K each)
Effect: High - precise temp control
ACTIVE

Louvers

Bi-metallic or motor-driven blades that vary effective emissivity. Open to radiate heat, close to retain it. Turndown ratio 6:1.

Mass: Moderate (1-3 kg/m²)
Power: Low (0-5 W for motorized)
Cost: High ($50K-300K/m²)
Effect: High - adaptive rejection
ACTIVE

Heat Pumps

Mechanically pumped fluid loops for high-power thermal transport. Used when heat pipes cannot reach radiator locations.

Mass: High (5-20 kg system)
Power: High (20-200 W)
Cost: High ($200K-2M)
Effect: Very high - long distance transport
ACTIVE

Cryocoolers

Mechanical refrigeration for IR detectors, focal planes, or superconducting devices. Pulse tube or Stirling cycle.

Mass: High (3-30 kg)
Power: Very high (30-300 W)
Cost: Very high ($500K-5M)
Effect: Essential - only way to reach <80K

Design Guidance

  • If the cold case is too cold: add heaters, reduce radiator area, or use MLI to insulate
  • If the hot case is too hot: increase radiator area, use OSR/white paint coatings, or add louvers
  • Low α/ε ratio (e.g. OSR, white paint) keeps spacecraft cooler
  • High α/ε ratio (e.g. bare aluminum, gold) keeps spacecraft warmer
  • MLI minimizes both absorption and emission -- used to decouple surfaces from the thermal environment

Assumptions and Limitations

This calculator uses a simplified single-node thermal model assuming uniform temperature across the spacecraft. It models the spacecraft as a sphere for solar projection (A/4) and assumes nadir-facing geometry for Earth flux (A/2 with view factor). Real spacecraft have complex multi-node thermal networks with directional properties, transient responses, internal conduction paths, and time-varying attitudes. Results are suitable for preliminary design estimates and trade studies. For detailed thermal analysis, use specialized tools such as Thermal Desktop, ESATAN-TMS, or OpenThermal.