Improving the convergence of planetary potential expansion The use of a series in Chebyshev polynomials

Details Improving the convergence of planetary potential expansion The use of a series in Chebyshev polynomials Improving the convergence of planetary potential expansion The use of a series in Chebyshev polynomials

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986azh....63..791p&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 63, July-Aug. 1986, p. 791-799. In Russian.

Astronomy and Astrophysics

Astronomy

2

Chebyshev Approximation, Convergence, Geopotential, Planetary Orbits, Satellite Perturbation, Series Expansion, Approximation, Gravitational Fields, Terrestrial Planets

Scientific paper

A sequence of linear combinations of spherical functions is constructed to approximate the earth's disturbing potential. This sequence converges faster than a traditional partial sum series in spherical functions. A series in Chebyshev polynomials is used as an intermediate one. An account is given of how this technique can be applied to the approximation of the potential of any earth-type planet.

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