Reduction of an infinite system of differential equations in the earth nutation problem

Details Reduction of an infinite system of differential equations in the earth nutation problem Reduction of an infinite system of differential equations in the earth nutation problem

Dec 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991kfnt....7r...3b&link_type=abstract

Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 7, Nov.-Dec. 1991, p. 3-10. In Russian.

Computer Science

Differential Equations, Earth Core, Earth Rotation, Linear Equations, Nutation, Ideal Fluids, Incompressible Fluids, Poincare Problem, Spherical Coordinates

Scientific paper

The earth nutation problem is reduced to the solution of an infinite system of linear differential equations using an expansion in spherical harmonics. The possibility of the reduction of this system is explored for two earth models: with and without a solid inner core. Numerical experiments show that consideration of a finite number of equations makes it possible to obtain a correct solution only for the model without an inner core.

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