Covariance Expressions for Second and Lower Order Derivatives of the Anomalous Potential.
Abstract
Auto-and cross-covariance expressions for the anomalous potential of the Earth and its first and second order derivatives are derived based on three different degree-variance models. A FORTRAN 4 subroutine is listed and documented that may be used for the computation of auto- and cross-covariance between any of the following quantities: (1) the anomalous potential (T), (2) the negative gravity disturbance/r, (3) the gravity anomaly (delta g), (4) the radial component of the gradient of delta g, (5) the second order radial derivative of T, (6), (7) the latitude and longitude components of the deflection of the vertical, (8), (9) the derivatives in northern and eastern direction of delta g, (10), (11) the derivatives of the gravity disturbance in northern and eastern direction, (12)-(14) the second order derivatives of T in northern, in mixed northern and eastern and in eastern direction. Values of different kinds of covariance of second order derivatives for varying spherical distance and height are tabulated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1976
- Accession Number
- ADA024720
Entities
People
- C. C. Tscherning
Organizations
- Ohio State University