1) is a function of the spherical distance y and the Moho-depth parameter s = 1-[tau], with D'/R and D' is the Moho depth.
where Do is the nominal (mean) value of the Moho depth, I is the Euclidean spatial distance of two points (r, [OMEGA]) and (r' Q'), and y is the respective spherical distance.
As the shortest spherical distance cannot be larger than n there is additional restriction in spherical geometry: c < a < [pi] - c.
2] and the referring spherical straight line f which is the great circle at spherical distance 0,5[pi] from both points [F.
i]--the spherical distance
to the center of rotation, [[alpha].
Then the spherical distance
AB between A and B is equal to [angle]AOB and recall that [[angle].
The spherical distance s(a, b) and the Euclidean distance e(a, b) between two points a, b [member of] [S.
Spherical distance is the arc length of an arc of a great circle, up to [pi].
where the spherical distance
[psi] is defined by the cosine theorem
Various least-squares stochastic solutions are applied to estimate the maximum spherical distance of the near-zone surface integration area and the maximum degree of the GGM coefficients based on empirical models for the harmonic and terrestrial gravity anomaly degree variances.
n](cos[psi]) are the Legendre polynomials of degree n for the argument of cosine of the spherical distance [psi].
Its value is only a function of the spherical distance
between the integration point and the dummy point.