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== Effect on satellite orbits == The fact that the Earth's gravitational field slightly deviates from being spherically symmetrical also affects the orbits of [[satellite]]s through [[ Secular variation | secular ]] orbital precessions.<ref>{{cite journal |last1=Iorio |first1=L. |date=2011 |title=Perturbed stellar motions around the rotating black hole in Sgr A* for a generic orientation of its spin axis |journal=[[Physical Review D]] |volume=84 |arxiv = 1107.2916 |issue=12 |pages=124001 |bibcode=2011PhRvD..84l4001I |doi=10.1103/PhysRevD.84.124001 |s2cid=118305813 }}</ref><ref>{{cite journal |last1=Renzetti |first1=G. |date=2013 |title=Satellite Orbital Precessions Caused by the Octupolar Mass Moment of a Non-Spherical Body Arbitrarily Oriented in Space |journal=[[Journal of Astrophysics and Astronomy]] |volume=34 |issue=4 |pages=341β348 |bibcode=2013JApA...34..341R |doi=10.1007/s12036-013-9186-4 |s2cid=120030309 }}</ref><ref>{{cite journal |last1=Renzetti |first1=G. |date=2014 |title=Satellite orbital precessions caused by the first odd zonal J3 multipole of a non-spherical body arbitrarily oriented in space |journal=[[Astrophysics and Space Science]] |volume=352 |issue=2 |pages=493β496 |bibcode=2014Ap&SS.352..493R |doi=10.1007/s10509-014-1915-x |s2cid=119537102 }}</ref> They depend on the orientation of the Earth's symmetry axis in the inertial space, and, in the general case, affect ''all'' the Keplerian [[orbital elements]] with the exception of the [[semimajor axis]]. If the reference ''z'' axis of the coordinate system adopted is aligned along the Earth's symmetry axis, then only the [[longitude of the ascending node]] Ξ©, the [[argument of pericenter]] Ο and the [[mean anomaly]] ''M'' undergo secular precessions.<ref>{{cite journal |last1=King-Hele |first1=D. G. |date=1961 |title=The Earth's Gravitational Potential, deduced from the Orbits of Artificial Satellites |journal=[[Geophysical Journal]] |volume=4 |issue=1 |pages=3β16 |bibcode=1961GeoJ....4....3K |doi=10.1111/j.1365-246X.1961.tb06801.x |doi-access=free }}</ref> Such perturbations, which were earlier used to map the Earth's gravitational field from space,<ref>{{cite journal |last1=King-Hele |first1=D. G. |date=1983 |title=Geophysical researches with the orbits of the first satellites |journal=[[Geophysical Journal]] |volume=74 |issue=1 |pages=7β23 |bibcode=1983GeoJ...74....7K |doi=10.1111/j.1365-246X.1983.tb01868.x |doi-access=free }}</ref> may play a relevant disturbing role when satellites are used to make tests of [[general relativity]]<ref>{{cite journal |last1=Renzetti |first1=G. |date=2012 |title=Are higher degree even zonals really harmful for the LARES/LAGEOS frame-dragging experiment? |journal=[[Canadian Journal of Physics]] |volume=90 |issue=9 |pages=883β888 |bibcode=2012CaJPh..90..883R |doi=10.1139/p2012-081 }}</ref> because the much smaller relativistic effects are qualitatively indistinguishable from the oblateness-driven disturbances.
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