The evolution of orbits of artificial satellites of planets under the action of gravitational perturbations of external bodies
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Kozai-Lidov cycles are a type of periodic angular momentum exchange that trade off mutual inclination and eccentricity.
“Kozai-Lidov cycles are a type of periodic angular momentum exchange that also trade off mutual inclination and eccentricity (Kozai 1962, Lidov 1962, Naoz 2016).”
From Origins of Hot Jupiters (2018) · cites this paper as Lidov 1962
The Kozai-Lidov mechanism can facilitate a periodic exchange between eccentricity and inclination of a test-particle while conserving the z-component of the orbital angular momentum vector hz = sqrt(1-e^2) cos(i).
“which can facilitate a periodic exchange between eccentricity and inclination of a testparticle while conserving the ˆ z -component of the orbital angular momentum vector hz = p 1 e 2 cos( i ) (Lidov, 1962; Kozai, 1962).”
From The planet nine hypothesis (2019) · cites this paper as Lidov, 1962
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Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686 · see citing works
Dawson, R. I., & Johnson, J. A. (2018) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081817-051853 · Cited by 622 · see citing works
Batygin, K., Adams, F. C., Brown, M. E., & Becker, J. C. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.01.009 · Cited by 181 · see citing works
“The second term in the above expansion possesses (two times) the argument of perihelion as its critical angle, and governs the Kozai-Lidov mechanism, which can facilitate a periodic exchange between eccentricity and inclination of a testparticle while conserving the ẑ-component of the orbital angular momentum vector h…”
BackgroundCORRALLING A DISTANT PLANET WITH EXTREME RESONANT KUIPER BELT OBJECTS
Malhotra, R., Volk, K., & Wang, X. (2016) · The Astrophysical Journal Letters · doi:10.3847/2041-8205/824/2/l22 · Cited by 60 · see citing works
Dynamics of Planetary Systems within Star Clusters: Aspects of the Solar System’s Early Evolution
Batygin, K., Adams, F. C., Batygin, Y. K., & Petigura, E. A. (2020) · The Astronomical Journal · doi:10.3847/1538-3881/ab665d · Cited by 43 · see citing works
- Authors
- Lidov, M. L.
- Corresponding author
- Lidov, M.L.
- Venue
- Planetary and Space Science
- Publisher
- Elsevier BV
- Published
- 1962-10
- Volume
- 9
- Issue
- 10
- Pages
- 719-759
- ISSN
- 0032-0633 (ISSN-L)
- OpenAlex
- W2063480122
- Cited by
- 1,571
- References
- 0
- Citations by year
- 2026: 98 · 2025: 160 · 2024: 150 · 2023: 125 · 2022: 129 · 2021: 134 · 2020: 158 · 2019: 108 · 2018: 103 · 2017: 92 · 2016: 81 · 2015: 51 · 2014: 53 · 2013: 29 · 2012: 30
- FWCI
- 1.99
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Planetary and Space Science (publishedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › Spacecraft Dynamics and Control
- Physical Sciences › Engineering › Aerospace Engineering › Space Satellite Systems and Control
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Keywords
- artificial satellites, planetary satellites, orbital evolution, gravitational perturbations, satellite orbits
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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