Paper Citation Record · LEDGER

Stability and bifurcations of resonances in ring's dynamics

As of 12 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.15745.

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pith.paper-citation-record.v1
2507.15745 v1

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measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T15:31:11.823632Z

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30 of 30 outbound references displayed

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Outbound references

Observation 8a261ee2-21aa-4e6c-968d-98d39a64d666 · outbound

This paper cites Proof of a Theorem of A. N. KOLMOGOROV on the Invari- ance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian.

Stability and bifurcations of resonances in ring's dynamics Proof of a Theorem of A. N. KOLMOGOROV on the Invari- ance of Quasi-Periodic Motions Under Small Perturbations of the Hamiltonian

Reference 1

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Observation d3af9fb9-bfa9-4909-b46c-d69d6b5bc1ef · outbound

This paper cites Gravitational Potential Harmonics from the Shape of an Ho- mogeneous Body.

Stability and bifurcations of resonances in ring's dynamics Gravitational Potential Harmonics from the Shape of an Ho- mogeneous Body

Reference 2

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Observation b7d9d6fb-3674-4e00-8c36-36a5e6453b74 · outbound

This paper cites Description and behavior of streamlines in planetary rings.

Stability and bifurcations of resonances in ring's dynamics Description and behavior of streamlines in planetary rings

Reference 3

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Observation 5732fcab-e7aa-4709-a2c0-76d7e1181f64 · outbound

This paper cites Comment on a Formula for the Gravitational Harmonic Coeffi- cients of a Triaxial Ellipsoid.

Stability and bifurcations of resonances in ring's dynamics Comment on a Formula for the Gravitational Harmonic Coeffi- cients of a Triaxial Ellipsoid

Reference 4

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Observation 4f54d938-e2af-4982-ab22-a733b7b4cc86 · outbound

This paper cites A ring system detected around the Centaur (10199) Chariklo.

Stability and bifurcations of resonances in ring's dynamics A ring system detected around the Centaur (10199) Chariklo

Reference 5

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Observation 5861867c-f551-4c55-8808-8f5d046d45f4 · outbound

This paper cites Dynamical support to Haumea, Chariklo, Quaoar rings in a 1:3 spin-orbit resonance.

Stability and bifurcations of resonances in ring's dynamics Dynamical support to Haumea, Chariklo, Quaoar rings in a 1:3 spin-orbit resonance

Reference 6

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Observation f9e68865-cd2f-4b5b-878c-bf5dd04e0e1a · outbound

This paper cites Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II).

Stability and bifurcations of resonances in ring's dynamics Analysis of resonances in the spin-orbit problem in Celestial Mechanics: Higher order resonances and some numerical experiments (Part II)

Reference 7

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Observation 94947d65-afd0-4373-91b4-8304cc8900cd · outbound

This paper cites Analysis of resonances in the spin-orbit problem in Celes- tial Mechanics: The synchronous resonance (Part I).

Stability and bifurcations of resonances in ring's dynamics Analysis of resonances in the spin-orbit problem in Celes- tial Mechanics: The synchronous resonance (Part I)

Reference 8

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Observation c0fdc791-323f-4816-91eb-4d8915d2a502 · outbound

This paper cites Stability and Chaos in Celestial Mechanics.

Stability and bifurcations of resonances in ring's dynamics Stability and Chaos in Celestial Mechanics

Reference 9

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Observation fbbefc0c-f5f8-4349-b662-02efe8f5f6d8 · outbound

This paper cites KAM Stability and Celestial Mechanics.

Stability and bifurcations of resonances in ring's dynamics KAM Stability and Celestial Mechanics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.203906Z

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Observation 656d44da-25dd-4649-ba9e-6415bd34c304 · outbound

This paper cites Principles of stellar dynamics.

Stability and bifurcations of resonances in ring's dynamics Principles of stellar dynamics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.195758Z

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Observation ad94eeb1-aea8-46e1-aa41-711891eac911 · outbound

This paper cites The stability around Chariklo and the confinement of its rings.

Stability and bifurcations of resonances in ring's dynamics The stability around Chariklo and the confinement of its rings

Reference 12

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Observation adb91c26-8eb8-4bc8-a5f4-346e7feffd1e · outbound

This paper cites The dynamics of planetary rings.

Stability and bifurcations of resonances in ring's dynamics The dynamics of planetary rings

Reference 13

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Observation 7841132e-8a7a-4df9-9fb7-5dcd9ca1a0a2 · outbound

This paper cites On conservation of conditionally periodic mo- tions for a small change in Hamilton’s function.

Stability and bifurcations of resonances in ring's dynamics On conservation of conditionally periodic mo- tions for a small change in Hamilton’s function

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.177574Z

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Observation 2e798e90-3ab4-4785-b5b9-08261de24ef3 · outbound

This paper cites Regular and chaotic dynamics.

Stability and bifurcations of resonances in ring's dynamics Regular and chaotic dynamics

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.169176Z

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Observation f50d423c-15dc-45be-beb6-e038099ed894 · outbound

This paper cites Dynamics around non-spherical symmetric bodies - I. The case of a spherical body with mass anomaly.

Stability and bifurcations of resonances in ring's dynamics Dynamics around non-spherical symmetric bodies - I. The case of a spherical body with mass anomaly

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.161008Z

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Observation f05ee73c-2318-488d-b435-dd3a244a4e48 · outbound

This paper cites Ring dynamics around an oblate body with an inclined satellite: The case of Haumea.

Stability and bifurcations of resonances in ring's dynamics Ring dynamics around an oblate body with an inclined satellite: The case of Haumea

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:12.047703Z

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Observation 3a97d7b7-544c-43cf-b1a6-0acc7e9717bc · outbound

This paper cites A dense ring of the trans-Neptunian object Quaoar outside its Roche limit.

Stability and bifurcations of resonances in ring's dynamics A dense ring of the trans-Neptunian object Quaoar outside its Roche limit

Reference 18

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Observation ca3f2e32-a3f7-4c27-aa73-b1ef3b7963f6 · outbound

This paper cites On invariant curves of area-preserving mappings of an annulus.

Stability and bifurcations of resonances in ring's dynamics On invariant curves of area-preserving mappings of an annulus

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.151834Z

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Observation 3e89d667-614f-4b9f-a180-07f147692d92 · outbound

This paper cites Planetary Ring Dynamics.

Stability and bifurcations of resonances in ring's dynamics Planetary Ring Dynamics

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-06T15:31:12.036450Z

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Observation 0cd055e2-4b95-4dd8-9fb4-f84b0d9632bf · outbound

This paper cites Murray and Stanley F.

Stability and bifurcations of resonances in ring's dynamics Murray and Stanley F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:31:12.142558Z

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Observation fe56866f-38db-4a62-8c1b-facd399d94a2 · outbound

This paper cites The size, shape, density and ring of the dwarf planet Haumea from a stellar occultation.

Stability and bifurcations of resonances in ring's dynamics The size, shape, density and ring of the dwarf planet Haumea from a stellar occultation

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:11.972582Z

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Observation 3ea34fa7-1ceb-4c7c-812f-675a4dd0c7e5 · outbound

This paper cites The two rings of (50000) Quaoar.

Stability and bifurcations of resonances in ring's dynamics The two rings of (50000) Quaoar

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:11.960136Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8d77687e-209f-4700-a601-f482cf274887 · outbound

This paper cites Dynamics around non-spherical symmetric bodies: II. The case of a prolate body.

Stability and bifurcations of resonances in ring's dynamics Dynamics around non-spherical symmetric bodies: II. The case of a prolate body

Reference 24

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Observation 0d0f9eb6-6162-43b0-91f5-bf920139210c · outbound

This paper cites Ring dynamics around non-axisymmetric bodies with application to Chariklo and Haumea.

Stability and bifurcations of resonances in ring's dynamics Ring dynamics around non-axisymmetric bodies with application to Chariklo and Haumea

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:11.948039Z

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Observation 6d9f7736-67fa-4475-ba4a-b05cae909e49 · outbound

This paper cites Dynamics of Planetary Rings.

Stability and bifurcations of resonances in ring's dynamics Dynamics of Planetary Rings

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-08-06T15:31:11.814893Z

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Observation 5cb61d90-7506-4354-abe6-b39eb17021ac · outbound

This paper cites Resonances in non-axisymmetric gravitational potentials.

Stability and bifurcations of resonances in ring's dynamics Resonances in non-axisymmetric gravitational potentials

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:11.936145Z

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Observation 4c84d26c-2d43-4a21-9648-29e0a56a6936 · outbound

This paper cites Planetary Rings.

Stability and bifurcations of resonances in ring's dynamics Planetary Rings

Reference 29

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Observation 2dae5300-4ed3-4888-a7c7-753466597fdb · outbound

This paper cites On the location of the ring around the dwarf planet Haumea.

Stability and bifurcations of resonances in ring's dynamics On the location of the ring around the dwarf planet Haumea

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:31:11.923830Z

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Observation c15f7e09-5005-4ec5-a1ed-230c7d912e09 · outbound

This paper cites Dynamics around Non-Spherical Symmetric Bodies: I. The case of a spherical body with mass anomaly.

Stability and bifurcations of resonances in ring's dynamics Dynamics around Non-Spherical Symmetric Bodies: I. The case of a spherical body with mass anomaly

Reference 1469

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T15:31:12.058922Z

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