Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:07:37.407699Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:2506.13745.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:07:37.407699Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
69 of 69 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 16b6aa74-1de7-4c5e-aee9-224e53f67796 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets (20) defines the (non-resonant) secular models considered in Sects
Reference 1
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Observation 828a892f-5d41-41d2-a927-6d518ffdca6a · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets (30) We then compute the normalized value |ǫˆh0,κ 2 /h0 1| as a function of κ, at the initial conditions of the non-resonant model detailed in Sect
Reference 2
Source-reported events for the cited work
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Observation e73a79bf-87c9-4fd2-be6f-d6286e20e2ac · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 3
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Observation f5328142-0faf-4c9d-9a20-8a4728f4d6d4 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Lagrange, Nouveaux m´ emoires de l’Acad´ emie des Sci- ences et Belles-Lettres de Berlin 5, 125 (1781)
Reference 4
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Observation a1d9eb9f-c718-4d75-96a8-658017f887d0 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Lagrange, Nouveaux m´ emoires de l’Acad´ emie des Sci- ences et Belles-Lettres de Berlin 5, 211 (1782)
Reference 5
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Observation fb7d4fbb-6d82-4541-b4ca-c2e0e81f298a · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
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Observation a2dbec69-7ed2-40b7-b507-d81d08173ba6 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 7
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Observation e1abbb04-c07c-4060-af78-2975234e86a5 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Boquet, Annales de l’Observatoire de Paris 19, B.1 (1889)
Reference 8
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Observation 30d8e347-1e19-4e45-ab63-e158f1353651 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Astronomy and Astrophysics 198, 341 (1988)
Reference 9
Source-reported events for the cited work
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Observation dabe1245-0839-4cf5-b806-bc1c598d5919 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Brouwer and A
Reference 10
Source-reported events for the cited work
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Observation 6dd6dad5-a285-47f8-a8f6-f7a21b456135 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Astronomy and Astrophysics 144, 133 (1985)
Reference 11
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Observation fd85de66-9057-4aca-8737-94ec980a584c · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Seager, Exoplanets, The University of Arizona Space Science Series (University of Arizona Press, Tucson, 2011)
Reference 12
Source-reported events for the cited work
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Observation 170191c6-076c-40c9-80df-a3a8f8143d3e · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Nature (London) 338, 237 (1989)
Reference 13
Source-reported events for the cited work
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Observation dc44f3f0-370d-47bf-9538-a0cca7cdf597 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Icarus 88, 266 (1990)
Reference 14
Source-reported events for the cited work
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Observation 21d9afe8-53d0-4997-bfe6-de7b63d89ff6 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Architecture and Dynamics of Kepler's Candidate Multiple Transiting Planet Systems
Reference 15
Source-reported events for the cited work
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Observation 36028312-8094-403e-a116-157399b34c81 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 16
Source-reported events for the cited work
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Observation ec581ed9-ab9d-4b14-b057-108f3cb4bc85 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Kley, ISSI Scientific Reports Series 6, 39 (2006)
Reference 17
Source-reported events for the cited work
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Observation 6bad6519-f121-4d11-b470-f76964f902e4 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Kozai, Astronomical Journal 67, 591 (1962)
Reference 18
Source-reported events for the cited work
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Observation 428ee336-c7b9-4862-a3a6-c30a7fccf941 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 19
Source-reported events for the cited work
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Observation 6056f7ab-7058-4523-9f18-4d900fb5e74e · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Tisserand, Trait´ e de m´ ecanique c´ eleste, Vol
Reference 20
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Observation 248de635-66d6-40ca-996b-12ed7306f9d8 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 21
Source-reported events for the cited work
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Observation d5483a7f-056f-4826-90ac-2bc204915b87 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 22
Source-reported events for the cited work
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Observation beeb323f-b6c6-4d7f-8cf0-31a427b28aa3 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 23
Source-reported events for the cited work
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Observation 9a41109d-e76a-41bc-8b36-c9d09c46f58c · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 24
Source-reported events for the cited work
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Observation 77c812a2-3aff-463a-8bd1-ce4282da00ac · outbound
Reference 25
Source-reported events for the cited work
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Observation 8b7228a8-247b-4d9d-8039-525cb435b559 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 26
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Observation 09c7342e-4afd-447c-a846-2665f411579b · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Beaug´ e and T
Reference 27
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Observation e2c8bbb0-03b8-492e-b6ea-7fe329359ade · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 28
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Observation d8e5107f-43e9-4e34-b797-51183991a64c · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Sansottera and A
Reference 29
Source-reported events for the cited work
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Observation 5d18df31-cb30-4888-ae2a-4c68949614fe · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 30
Source-reported events for the cited work
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Observation a920cbc4-61f3-453b-90ff-b5fcd85f99e9 · outbound
Reference 31
Source-reported events for the cited work
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Observation 454ae1d0-4fa4-4bc9-98d6-9f4a3d0322de · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Batygin and A
Reference 32
Source-reported events for the cited work
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Observation 7e5c038e-5565-4288-b883-e0d59f1065df · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Schubart, SAO Special Report 149 (1964)
Reference 33
Source-reported events for the cited work
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Observation c89c26dd-31e6-4f10-b413-8e811bc7e16e · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Gauss, Werke 3, 331 (1818)
Reference 34
Source-reported events for the cited work
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Observation 58d14ea6-a8d8-403f-b362-9ca3b5a2e11b · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Musen, Celestial Mechanics 2, 41 (1970)
Reference 35
Source-reported events for the cited work
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Observation 1fa881d4-fe1f-4da0-b3a0-a0f753a96e29 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Analytical framework in poincare variables for the motion of the solar system, in Predictability, Stability, and Chaos in N-Body Dynamical Systems (Springer US, 1991)
Reference 36
Source-reported events for the cited work
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Observation 699dc48b-17de-41cd-9bcb-cfd535fdfd62 · outbound
Reference 37
Source-reported events for the cited work
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Observation 7ca911d2-17f5-45d2-a60d-25e3e972d0ae · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Moons, Celestial Mechanics and Dynamical Astron- omy 60, 173 (1994)
Reference 38
Source-reported events for the cited work
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Observation 291a5a7d-1ba4-48c0-b022-2a720eca38b4 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, in Chaos, Resonance, and Collective Dynam- ical Phenomena in the Solar System , IAU Symposium, Vol
Reference 39
Source-reported events for the cited work
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Observation 1233a76f-0c76-4e60-ba60-2dca4777b9fb · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Hori, Publications of the Astronomical Society of Japan 18, 287 (1966)
Reference 40
Source-reported events for the cited work
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Observation 15dc98c3-34f1-4f1d-b435-d54298d07d0d · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Deprit, Celestial Mechanics 1, 12 (1969)
Reference 41
Source-reported events for the cited work
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Observation c3f6a58c-8cf0-4c5f-a2d8-9a6216a5af74 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Locatelli and A
Reference 42
Source-reported events for the cited work
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Observation 09b3bbdf-8ac9-42f6-b974-a550ec79fbca · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets The origin of chaos in the Solar System through computer algebra
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 81b89361-f3c2-479a-81c4-5e704a1ef45c · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets The computational cost involves N 2 evaluations per each function, followed by a 2D FFT, with complex- ity 2 N 2 log(N ) per function
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ebe45f24-1b68-4a7e-9400-ae2c03fb6b87 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Morbidelli, Modern celestial mechanics: aspects of so- lar system dynamics (Taylor & Francis, 2002)
Reference 45
Source-reported events for the cited work
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Observation d7b77942-77aa-48ee-a811-5bff4a836906 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 46
Source-reported events for the cited work
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Observation 54eaba77-a27a-4589-8d4b-d73b901c9ad1 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 47
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Observation 5943cf65-c1dc-4fe5-ba96-4fa6db2ac192 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Abramowitz and I
Reference 48
Source-reported events for the cited work
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Observation f1b45856-fb38-4711-b68d-9dd1c4963667 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Sauer, Numerical Analysis (Pearson, Boston, 2012)
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation dc538d56-ebde-4c21-9319-24d869ed781d · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Astronomy and Astrophysics 287, L9 (1994)
Reference 50
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Observation 15ae9981-6348-42f2-8c35-45e4a70766d3 · outbound
Reference 51
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Reference 52
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Reference 53
Source-reported events for the cited work
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Observation bc30d7cc-43bb-47f0-a1d3-1de99a8ad605 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 54
Source-reported events for the cited work
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Observation 07b41c63-6ead-4bef-9516-c4b309cb8570 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Duriez, Astronomy and Astrophysics 54, 93 (1977)
Reference 55
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Observation db735b31-435e-4eff-bd86-1ecd5f267f13 · outbound
Reference 56
Source-reported events for the cited work
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Observation 7f155f53-7e8b-4f26-b5a6-7710cec615d7 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Michtchenko and S
Reference 57
Source-reported events for the cited work
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Observation 28e98c41-831f-47b1-83cf-ef72eb37aee9 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Locatelli and A
Reference 58
Source-reported events for the cited work
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Observation 97f48a35-8d18-436e-84b7-2c5f6a47a4b3 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Long-term dynamics of the solar system inner planets
Reference 59
Source-reported events for the cited work
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Observation 9eb4fef0-2307-4984-ac27-f749dea5f970 · outbound
Reference 60
Source-reported events for the cited work
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Observation e8041393-3ac2-4465-a02e-faedd18763be · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Frequency map analysis and quasiperiodic decompositions
Reference 61
Source-reported events for the cited work
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Observation 2e8e067f-c5de-425b-9bc6-0be7bea01e44 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets H´ ebrard andet al
Reference 62
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Observation 009ca611-3e8e-4c50-8008-63b56bb13ab9 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 63
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Observation 15e4882c-c2ac-4fce-b91e-9fca4863a524 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets , Astrophysical Journal, Letters 946, L36 (2023)
Reference 64
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Observation 43be226a-8578-41bf-b602-997c3c3233cb · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Laskar, Physica D Nonlinear Phenomena 67, 257 (1993)
Reference 65
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Observation 404c32e0-f326-418e-9830-ee24545e6e6e · outbound
Reference 66
Source-reported events for the cited work
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Observation 4de270e8-c4ff-4ace-918e-789bae1e7344 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Unresolved cited work
Reference 67
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Observation 1f1895ba-bf58-42f1-a331-eb73fba114fc · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets Short-Term Dynamical Interactions Among Extrasolar Planets
Reference 68
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Observation 1db5f1ce-7f2f-402e-8355-aedbd85a8fd0 · outbound
Numerical approach to second-order canonical perturbation theory in the planetary 3-body problem: Application to exoplanets IAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits
Reference 69
Source-reported events for the cited work
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No inbound Pith citation observations are available.