Calculation of shape factors between parallel ring sectors sharing a common centerline
Abstract
Thermal control calculations for spinstabilized spacecraft often require determination of the shape factor for diffuse radiantenergy exchange between parallel ring sectors sharing a common centerline. The present paper utilizes the contour integral method to derive a closedform expression for the shape factor from a differential area on one ring sector to the other (finitesize) ring sector. This expression is then integrated numerically to determine the desired shape factors between two finitesize ring sectors. Typical results are presented for both configurations. In particular, the shape factor is a straight line when the difference of angular displacements which define location of surface 1 with respect to xaxis is equal to 360 deg.
 Publication:

AIAA Journal
 Pub Date:
 June 1976
 DOI:
 10.2514/3.7153
 Bibcode:
 1976AIAAJ..14..813M
 Keywords:

 Radiative Heat Transfer;
 Ring Structures;
 Spacecraft Stability;
 Temperature Control;
 Diffuse Radiation;
 Integral Equations;
 Numerical Analysis;
 Spin Stabilization;
 Fluid Mechanics and Heat Transfer