Modified Direct and Invers Problem On Triaxial Ellipsoid

Algebraic Closed Geodesics on a Triaxial Ellipsoid *

We propose a simple method of explicit description of families of closed geodesics on a triaxial ellipsoid Q that are cut out by algebraic surfaces in R. Such geodesics are either connected components of spatial elliptic curves or of rational curves. Our approach is based on elements of the Weierstrass–Poncaré reduction theory for hyperelliptic tangential covers of elliptic curves, the addition...

Inertial modes in a rotating triaxial ellipsoid.

In this work, we present an algorithm that enables computation of inertial modes and their corresponding frequencies in a rotating triaxial ellipsoid. The method consists of projecting the inertial mode equation onto finite-dimensional bases of polynomial vector fields. It is shown that this leads to a well-posed eigenvalue problem, and hence, that eigenmodes are of polynomial form. Furthermore...

Tilt-over mode in a precessing triaxial ellipsoid

2 9 Ju n 20 05 Algebraic Closed Geodesics on a Triaxial Ellipsoid ∗

We propose a simple method of explicit description of families of closed geodesics on a triaxial ellipsoid Q that are cut out by algebraic surfaces in R. Such geodesics are either connected components of spatial elliptic curves or rational curves. Our approach is based on elements of the Weierstrass–Poncaré reduction theory for hyperelliptic tangential covers of elliptic curves and the addition...

Regularization of Invers Problem for M-Ary Channel

The problem of computation of parameters of m-ary channel is considered. It is demonstrated that although the problem is ill-posed, it is possible “turning” of the parameters of the system and transform the problem to well-posed one. Statement of the problem. We analyze the well-known formula for probability of correct identification if orthogonal signal in m-ary channel, which has the form dz ...