This paper is concerned with the temperature distribution of a thin-walled spherical satellite subjected to solar radiation. The satellite rotates about an axis perpendicular to the incident radiation. The linearized differential equation of the temperature distribution is solved in terms of Legendre polynomials and associated Legendre functions. The results demonstrate the role of the angular velocity in the temperature distribution. A numerical example is included and an error analysis is performed in order to evaluate errors due to the linearization process.
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes