Fifteenth-order harmonics in the geopotential

Computer Science

Scientific paper

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Scientific paper

THE Earth's gravitational potential is usually expressed as a double infinite series of spherical harmonics. Analysis of thousands of photographic and laser observations of satellites, together with gravity measurements has yielded global models of the geoid1-3 accurate to about 3 m on average. The harmonic coefficients have been evaluated complete up to degree and order 16 in the Goddard Earth Models (GEM) 4 and 6 (refs 1 and 2), and up to degree and order 18 in the Smithsonian Standard Earth III(SSE)3. Models currently being evaluated will extend to degree 25 (D. E. Smith, personal communication). Although these comprehensive global solutions give the overall geoid shape or gravitational field quite accurately, the individual harmonic coefficients of order between 10 and 20 are poorly determined among the matrix of 300 or more coefficients, and accurate methods for evaluating coefficients of a particular order are badly needed.

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