On the revolution of a fluid ellipsoid with three unequal axes

✍ Scribed by Thomas Craig

• Publisher: Elsevier Science
• Year: 1881
• Tongue: English
• Weight: 462 KB
• Volume: 111
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(81)90151-4

✦ Synopsis

D=l/ia~+ t)(b ~+ t)(e + O; then for the potential of an ellipsoid whose semi-axes are a, b, c at an internal point x r, yr, zr we have o¢ fdt{xl2 y,z Z,2 } 9=-,~b. -~ ~-~ + b~+t ÷ c%t -1 (3) 0 Substituting this in the equation of a level surface (9,) and we have on dividing through by ~M, where M is the mass of the ellipsoid, Oo Oo 2,2 _ f dt 2, 2 fo dt Y,2 3M oD(~-}-i) x' ÷ ~ --D(~÷t) C ~ dt \ (4) 0D(J + t) ~' ~ = Q 3 * Clark's Geodesy, pages 76 and 77.