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• W3106217052 startingPage "769" @default.
• W3106217052 abstract "Satellites in low Earth orbits must accurately conserve their orbital eccentricity, since a decrease in perigee of only 5-10% would cause them to crash. However, these satellites are subject to gravitational perturbations from the Earth's multipole moments, the Moon, and the Sun that are not spherically symmetric and hence do not conserve angular momentum, especially over the tens of thousands of orbits made by a typical satellite. Why then do satellites not crash? We describe a vector-based analysis of the long-term behavior of satellite orbits and apply this to several toy systems containing a single non-Keplerian perturbing potential. If only the quadrupole potential from the Earth's equatorial bulge is present, all near-circular orbits are stable. If only the octupole potential is present, all such orbits are unstable. If only the lunar or solar potential is present, all near-circular orbits with inclinations to the ecliptic exceeding 39 degrees are unstable. We describe the behavior of satellites in the simultaneous presence of all of these perturbations and show that almost all low Earth orbits are stable because of an accidental property of the dominant quadrupole potential. We also relate these results to the phenomenon of Lidov-Kozai oscillations." @default.
• W3106217052 created "2020-11-23" @default.
• W3106217052 creator A5006162225 @default.
• W3106217052 creator A5083154228 @default.
• W3106217052 date "2014-08-01" @default.
• W3106217052 modified "2023-10-16" @default.
• W3106217052 title "Why do Earth satellites stay up?" @default.
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• W3106217052 doi "https://doi.org/10.1119/1.4874853" @default.
• W3106217052 hasPublicationYear "2014" @default.
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