Satellite resonance with longitude-dependent gravity—III. Inclination changes for close satellites

“…The rate of change of orbital inclination, i, due to each D st is given by (Lambeck, 1977), di dt Re denotes the real part, F stu is the inclination function of Allan (1973), G suv is the eccentricity function (Kaula, 1966) …”

Section: Perturbations In Inclination Eccentricity and Right Ascensimentioning

confidence: 99%

Ocean-tide parameters from the simultaneous long-period analysis of the orbits of Starlette and Stella

Harwood

Swinerd

1997

Ann. Geophys.

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Abstract. The orbits of two geodetic satellites, Starlette and Stella, have been analysed in order to determine ocean-tide parameters. The orbit of Starlette has been determined over a three-year period and Stella over a one-year period. Long-period analysis techniques have been used to determine the evolutions of the orbital inclination, eccentricity and right ascension of the ascending node for each satellite due to ocean tides. The ocean-tide parameters have been determined in a simultaneous fitting of the theoretical orbital variations to the observed variations. The results are compared with ocean-tide models.

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“…The q = + 1 resonance has a period of only 40 days at the beginning of the data span, increasing to 116 days at the end. But the fundamental amplitudes of these terms are of the order of 10e relative to the central term, where e is the orbit's eccentricity [Allan, 1973]. Since e is 0.082 for 1967-14F, the side-band resonances cannot be ignored.…”

Section: Resonance Recoverymentioning

confidence: 99%

Thirteenth-order orbital resonance on a Diademe 2 Fragment

Wagner

1975

J. Geophys. Res.

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Strong constraints on thirteenth‐order terms in the geopotential have been derived from U.S. Navy tracking on a Diademe 2 fragment (1967‐14F). This object (perigee height, 580 km; orbit inclination, 38.9°) has recently decayed slowly through the perfect commensurability with these terms. The resonance forces have increased its inclination by 0.03°. The principal constraint (in fully normalized harmonics), derived by adjustment of a pair of harmonic coefficients to the Navy inclination data (mainly), is 109 (10.5 ± 1.8, 50.8 ± 1.0) = 0.023(C, S)13,13 ‐ 0.172(C, S)15,13 + 0.505(C, S)17,13 ‐ 0.884(C, S)19,13 + (C, S)21,13 ‐ 0.673(C, S)23,13 + 0.099(C, S)25,13 + 0.295(C, S)27,13 ‐ 0.279(C, S)29,13 + 0.018(C, S)31,13 + ···. Recent geopotential solutions for thirteenth‐order terms, which include Diademe 2 (satellite) data, are up to 25% in error (as a set) when they are judged by this independent tracking information.

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Satellite resonance with longitude-dependent gravity—III. Inclination changes for close satellites

Cited by 81 publications

References 14 publications

Taking advantage of inclination variation in resonant remote-sensing satellite orbits

Taking advantage of inclination variation in resonant remote-sensing satellite orbits

Ocean-tide parameters from the simultaneous long-period analysis of the orbits of Starlette and Stella

Thirteenth-order orbital resonance on a Diademe 2 Fragment

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