GEOS-II and 13th Order Terms of the Geopotential

Details GEOS-II and 13th Order Terms of the Geopotential GEOS-II and 13th Order Terms of the Geopotential

Sep 1970

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1970cemec...1..479d&link_type=abstract

Celestial Mechanics, Volume 1, Issue 3-4, pp. 479-490

Computer Science

4

Scientific paper

The resonance of GEOS-II (1968-002A) with 13th-order terms of the geopotential is analyzed. The odd-degree geopotential coefficients (13, 13), (15, 13), and (17, 13) given by Yionoulis most accurately model the resonance effects on GEOS-II of any of the published sets of 13th-order coefficients. However, this set is not adequate for precision orbit determination; additional even-degree coefficients are required. Values ofC 14,13(=0.57×10-21) andS 14,13(=6.5×10-21) to be used with the odd-degree set of Yionoulis were obtained from an analysis of the observed along-track position variation of GEOS-II. These coefficients, when used with those of Yionoulis, yield greatly improved ‘fits’ to the data and orbital prediction capability. However, further refinement is possible because the small effects of the remaining even-degree resonant terms were not modeled. The composite coefficientsC 13,13(=1.7×10-20) andS 13,13(=+2.7×10-20) were obtained under the assumption that the (13, 13) spherical harmonic of the geopotential is responsible for all of the observed along-track variation of GEOS-II due to resonance. The good agreement of these deliberately composite values with some published values ofC 13,13 andS 13,13 suggests that some of the published values may also be composite to some extent.

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