The stability of the triangular equilibrium points in the circular restricted three-body problem considering the bigger primary as an oblate spheroid
in linear cas, has been studied and established that range of the mass parameter given rise to stable triangular solutions is lowered .
The equation of the oblate spheroid
can be written as
and A for oblate spheroid
. Shape factor of the ellipse obtained from central section is
The shapes were characterized as spherical, prolate and oblate spheroids
, tear drops, peanut, and doughnut shapes.
Hamielec, "A numerical study of viscous flow past a thin oblate spheroid
at low and intermediate reynolds numbers," Journal of the Atmospheric Sciences, vol.
It has been established  that the covariant metric tensor in the region exterior to a static homogeneous oblate spheroid
in oblate spheroidal coordinates is given as
Newton had suggested that, on the basis of his gravitational theory, the Earth ought to be an oblate spheroid
and have an equatorial bulge, because it was rotating (see 1687, Universal Gravitation).
In this article, we verify the validity of our metric tensor exterior to a massive homogeneous oblate spheroid
by studying gravitational spectral shift in the vicinity of the Sun, Earth and other oblate spheroidal planets.
The covariant metric tensor in the gravitational field of a static homogeneous oblate spheroid
in oblate spheroidal coordinates ([eta], [xi], [phi]) has been obtained [7, 12] as
Pleione spins so rapidly that it is squashed into an oblate spheroid
. This breakneck rotation causes the star to throw off a gaseous shell of material at irregular intervals.
Most recently, Ioannis and Michael  proposed the Sagnac interferometric technique as a way of detecting corrections to the Newton's gravitational scalar potential exterior to an oblate spheroid
In the case of spheroids for which two axes are equal (a = b [not equal to] c), the analytical expressions for [A.sub.i] for oblate spheroids
(disk-like spheroids with a = b > c) and prolate spheroids (needle-like spheroids with a = b < c) can be found in the literature .