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  3. Volume 27, 1978
  4. On the extremal properties of the spherical functions, described the external gravitational potential of the Earth

On the extremal properties of the spherical functions, described the external gravitational potential of the Earth

ISTCGCAP.
1978;
Volume 27, Number 27
: 88-96
Authors:
  1. H. O. Meshcheriakov
  2. Alexander N. Marchenko
1
Lviv Politecnic National University
2
Department of Geodesy, Institute of Geodesy, Lviv Polytechnic National University

The problem of studying the extremum of a n-th-order spherical function of general form is discussed. A method is given for finding extremum points of spherical functions.The spherical functions of lower orders (up to the second inclusive), which describe the first terms of the expansion of the Earth's external gravitational potential in a series of spherical functions, are specifically investigated for an extremum.

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