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Thermal Radiation Physics and Modeling

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Astronautics
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Abstract

The ultimate goal of this chapter is to determine the temperature equilibrium distribution inside a spacecraft (S/C) as a result of the thermal equilibrium with its space environment. Knowing these inside temperatures is essential when designing a S/C, as most components only work reliably within certain temperature ranges: batteries lose capacity and propellants may freeze.

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Change history

  • 31 October 2019

    In the original version of the book, the following belated corrections are to be incorporated.

Abbreviations

a :

Absorber (absorbed)

alb :

Albedo

B :

Body under consideration

E :

Earth

eff :

Effective (temperature)

ext :

External (to satellite)

int :

Internal (to satellite)

IR :

Infrared

r :

Receiver (received)

S :

Solar

sat :

Satellite

sol :

Solar

t :

Transmitter (transmitted)

λ :

Spectral

Ω:

Directional

•:

Black body

⊥:

(Surface) projection onto a given direction

a :

Albedo

A :

Size of surface area

E :

Irradiance

\( F_{i \to j} \) :

View factor (a.k.a. configuration factor) from surface i to surface j

\( G_{ij} \) :

Heat conduction or heat convection coefficient (a.k.a. conductor) between node i and j

h :

Planck constant

\( I_{\Omega } \) :

Radiant intensity (directional)

\( k_{B} \) :

Boltzmann constant

\( L_{\Omega } \) :

Radiance (directional)

\( L_{{\lambda\Omega }} \) :

Spectral radiance (directional)

\( M \) :

Radiant exitance

\( M_{\lambda } \) :

Spectral exitance

Q :

Radiant energy

R :

Radiative conduction coefficient

s :

Distance between emitting and absorbing surface points

S/C:

Spacecraft

α :

Absorptivity (a.k.a. absorption coefficient)

ε :

Emissivity (a.k.a. emission coefficient, emittance)

\( \theta \) :

Polar angle (see Fig. 16.1)

λ :

Wavelength

\( \Phi \) :

Radiant flux (a.k.a. radiative heat flux)

\( \sigma \) :

Stefan-Boltzmann constant

Ω:

Solid angle

BOL:

Beginning of life

CFRP:

Carbon fiber reinforced plastics

ECSS:

European cooperation for space standardization

EOL:

End of life

FDM:

Finite differences model

FEM:

Finite element model

GMM:

Geometrical mathematical model

IR:

Infrared

ISS:

International space station

MLI:

Multi-layer insulation

OSR:

Optical surface reflector

PCB:

Printed circuit board

RHU:

Radioisotope heater units

RTG:

Radioisotope thermoelectric generator

S/C:

Spacecraft

SSM:

Second surface mirror

TCS:

Thermal control system

TMM:

Thermal mathematical model

TRP:

Temperature reference point

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Correspondence to Ulrich Walter .

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Walter, U. (2018). Thermal Radiation Physics and Modeling. In: Astronautics. Springer, Cham. https://doi.org/10.1007/978-3-319-74373-8_16

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  • DOI: https://doi.org/10.1007/978-3-319-74373-8_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74372-1

  • Online ISBN: 978-3-319-74373-8

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