Rotational distortion of stars having arbitrary structure described by fourth-order sectorial harmonics

✍ Scribed by M. Bahgat El-Shaarawy

• Publisher: Springer Netherlands
• Year: 1989
• Tongue: English
• Weight: 498 KB
• Volume: 47
• Category: Article
• ISSN: 1573-0794
• DOI: 10.1007/bf00114101

✦ Synopsis

In a series of papers, the equilibrium configurations of highly rotating fluid bodies have been derived. The deformation of these inhomogeneous self-gravitating fluid, of arbitrary internal structure are due to centrifugation potential. These level surfaces are expressed in terms of fourth-order sectorial harmonics.

In this paper, the main equations of the problem -such as the surface of the distorted body, the gravitational potential at an arbitrary point and the disturbing potential -have been expanded to the fourth-order in terms of the even-order sectorial harmonics.