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Paper Citation Record · LEDGER

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order

As of 5 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2110.15351.

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pith.paper-citation-record.v1
2110.15351 v4

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measured 52 of 52 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-24T12:39:00.064402Z

measured 53 of 53 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T03:23:04.626466Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-05-23T03:25:20.889070Z

Reference resolution

52 of 52 outbound references displayed

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  • verified fuzzy23
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Outbound references

Observation d8035c26-1890-44ef-9a48-3ebbeef19aab · outbound

This paper cites For example,J2−L2 =O(ϵ1), though both J2 andL2 areO(ϵ0).

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order For example,J2−L2 =O(ϵ1), though both J2 andL2 areO(ϵ0)

Reference 1

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Observation 44260c80-5a77-4e85-9eab-cab9f695c88f · outbound

This paper cites To be more precise, we show how to obtain the standard phase-space coordi- nates (⃗P, ⃗Q) as explicit functions of action-angle variables (⃗J,⃗θ).

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order To be more precise, we show how to obtain the standard phase-space coordi- nates (⃗P, ⃗Q) as explicit functions of action-angle variables (⃗J,⃗θ)

Reference 2

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Observation 9816638e-48ac-44ae-996b-9050e5189c66 · outbound

This paper cites standard solution.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order standard solution

Reference 3

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:a722449f3428f5443c67e2cfe2d5bf816b98f7467f096e0880bdb927931c22f7

Observation 5b46d066-4171-4b3f-a357-99d56acc4c97 · outbound

This paper cites Therefore, most of Appendix A1 deals with how to do this calculation and only towards the end we arrive at the expression of ∆λSeff·L.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Therefore, most of Appendix A1 deals with how to do this calculation and only towards the end we arrive at the expression of ∆λSeff·L

Reference 4

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Observation 45036672-6a64-481c-8a9e-4256a5eedec2 · outbound

This paper cites (A24) The fact that the cubic becomes undefined whenm1 =m2 is the reason we treated the equal-mass case separately towards the end of Sec.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order (A24) The fact that the cubic becomes undefined whenm1 =m2 is the reason we treated the equal-mass case separately towards the end of Sec

Reference 5

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Observation 2071020a-b862-47da-b4be-8962de8b3394 · outbound

This paper cites Since the flows underJ2,L 2,S 2 1, and S2 2 do not change these mutual angles, we choose to flow under Seff·L by exactly the precession period, ∆λSeff·L = Λ.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Since the flows underJ2,L 2,S 2 1, and S2 2 do not change these mutual angles, we choose to flow under Seff·L by exactly the precession period, ∆λSeff·L = Λ

Reference 6

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Observation c2630e05-e49e-487c-91f2-e662efe90862 · outbound

This paper cites We now plan to flow underJ2 by ∆λJ2 so that⃗L is restored; this restoration is a necessary condition for closing the phase space loop.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order We now plan to flow underJ2 by ∆λJ2 so that⃗L is restored; this restoration is a necessary condition for closing the phase space loop

Reference 7

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:b63b15fa89133ab91acf7477cd1cabbd74cd4cfd042feef54513e07d260fbb02

Observation 7b02cae0-06b4-4c16-a6a3-9f539f7bd0ed · outbound

This paper cites We will now restore⃗R and ⃗P by flowing underL2 by ∆λL2, to be determined in this section.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order We will now restore⃗R and ⃗P by flowing underL2 by ∆λL2, to be determined in this section

Reference 8

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Observation 1f396a4d-bdbf-4029-978a-ffc4eb62c652 · outbound

This paper cites The strategy and calculations are analogous to the ones for⃗R and ⃗P, so we won’t explicate them in full detail.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order The strategy and calculations are analogous to the ones for⃗R and ⃗P, so we won’t explicate them in full detail

Reference 9

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Observation dab8b802-2663-4ce5-be44-7a118f29d945 · outbound

This paper cites (A101) 23 This final fifth flow underS2 2 is pictorially represented by the orangeTP curve in Fig.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order (A101) 23 This final fifth flow underS2 2 is pictorially represented by the orangeTP curve in Fig

Reference 10

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Observation 1302b262-54ff-4872-8d80-a613c910de2b · outbound

This paper cites (C11) The last piece are the derivatives of the complete elliptic integrals of the first and third kinds with respect to their arguments.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order (C11) The last piece are the derivatives of the complete elliptic integrals of the first and third kinds with respect to their arguments

Reference 11

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Observation 895bf5d7-ada6-4225-ae41-c154ac5a35d1 · outbound

This paper cites GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

Reference 12

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local_arxiv, observed 2026-05-24T12:39:28.892357Z

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Observation e0aa0764-6779-47cc-973b-d97f2e58269e · outbound

This paper cites GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

Reference 13

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Observation e0540062-b981-4b7f-bb75-e9c82a0ee54f · outbound

This paper cites GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

Reference 14

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Observation 3c7e5336-7dfb-4156-87b4-c7fb2f734331 · outbound

This paper cites Cutler, Angular resolution of the LISA gravitational wave detector, Phys.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Cutler, Angular resolution of the LISA gravitational wave detector, Phys

Reference 15

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arxiv_id, observed 2026-05-24T12:39:28.813427Z

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Observation 2ebca860-d36a-4325-8a0c-b339e06e0228 · outbound

This paper cites Laser Interferometer Space Antenna.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Laser Interferometer Space Antenna

Reference 16

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local_arxiv, observed 2026-05-24T12:39:28.860402Z

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Observation 5b0b5533-ba19-4054-ad77-dcc5fd076b7a · outbound

This paper cites Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits

Reference 17

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local_arxiv, observed 2026-05-24T12:39:28.846056Z

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Observation a496c5c7-61e2-43e1-a0bf-0b25701f54a9 · outbound

This paper cites Effective potentials and morphological transitions for binary black-hole spin precession.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Effective potentials and morphological transitions for binary black-hole spin precession

Reference 18

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Observation 6f8a6268-61c1-470b-b7d8-5d6b1ccdb940 · outbound

This paper cites Multi-timescale analysis of phase transitions in precessing black-hole binaries.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Multi-timescale analysis of phase transitions in precessing black-hole binaries

Reference 19

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Observation 262481ee-0f10-4cfb-a221-dc5ffb6aff26 · outbound

This paper cites An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory

Reference 20

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:6c1bb7b154297c11b250343ea2ebc303d6601473a907a7e4b074cb49b3f03602

Observation e033e450-49ad-4e3e-a4f7-d2dd06e2367d · outbound

This paper cites Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Constructing Gravitational Waves from Generic Spin-Precessing Compact Binary Inspirals

Reference 21

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:5e3092bec656d2f09c6c30a15d08648f3feee4c2a87e129811565334deab1ca0

Observation 1243c6f1-2258-4dae-a894-d26aaf646f42 · outbound

This paper cites Spin effects in the phasing of gravitational waves from binaries on eccentric orbits.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Spin effects in the phasing of gravitational waves from binaries on eccentric orbits

Reference 22

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local_arxiv, observed 2026-05-24T12:39:28.953142Z

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Observation 9e0ad445-3cb9-4fc8-88d2-559fc91ea751 · outbound

This paper cites Fourier domain gravitational waveforms for precessing eccentric binaries.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Fourier domain gravitational waveforms for precessing eccentric binaries

Reference 23

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local_arxiv, observed 2026-05-24T12:39:28.852610Z

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:b637a16e01cc75270ea31a2104eaffc304e044eb9e7b501afbffd075bcc17c1b

Observation bed65d4f-af93-4f86-8899-e4f0f722c36a · outbound

This paper cites Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order

Reference 24

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local_arxiv, observed 2026-05-24T12:39:28.916511Z

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:1c090180764864dbfd66a6bac9ae49dca0d58b9b98470fac969401a8fadfa0a7

Observation c2598744-c0c5-4098-b7c2-bfaf2a7a5924 · outbound

This paper cites Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Post-Newtonian accurate parametric solution to the dynamics of spinning compact binaries in eccentric orbits: The leading order spin-orbit interaction

Reference 25

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:c93a6683323c6deeb010516a8913a3a6c5115d1275a7d7b18d9d0ec931b23211

Observation 9e86907b-b834-4b93-a30d-2e81ca5a4d02 · outbound

This paper cites Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Integrability of eccentric, spinning black hole binaries up to second post-Newtonian order

Reference 27

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arxiv_id, observed 2026-05-24T12:39:28.924494Z

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Observation 9fa775d4-07db-43ec-b0e9-c8e6d3ab7a09 · outbound

This paper cites Goldstein, C.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Goldstein, C

Reference 28

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:e05ba6ed9b9d2b798819d00545db2de3f6bd9de234fa27ef8eb7c428e0e24463

Observation 122a963b-0536-4a98-919c-7a8957f420c3 · outbound

This paper cites José and E.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order José and E

Reference 29

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raw_fallback, observed 2026-05-24T12:39:29.228681Z

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:91b215b16b03044384613d68dc58992da8c87301e475e8a11556ea6195ae28ba

Observation 220c6af4-c1c1-44d3-984f-772413a9eaad · outbound

This paper cites Damour and N.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Damour and N

Reference 30

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source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:fbdf3a3a458010c6544fbf37560e32137c9455f12ed661641cb13436276a39fb

Observation 486c951c-9a08-4c7d-9a95-84ec2cbfa9ac · outbound

This paper cites Damour and G.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Damour and G

Reference 31

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raw_fallback, observed 2026-05-24T12:39:29.224260Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:935f46157b7cf37123d50d99c62b8c3bb14ab471fd1cb233d058536da4782f01

Observation 90717663-9b30-40f8-885e-e9e1abbbde6f · outbound

This paper cites Coalescence of Two Spinning Black Holes: An Effective One-Body Approach.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Coalescence of Two Spinning Black Holes: An Effective One-Body Approach

Reference 32

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local_arxiv, observed 2026-05-24T12:39:28.822785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:eb4cf426ce2e2b5f7d31d5b37703f736e27f92d8f2385e1dd6064c45c4cbc33e

Observation 1e054596-ec19-47a1-87bd-80e397c2b754 · outbound

This paper cites Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Closed-form solutions of spinning, eccentric binary black holes at 1.5 post-Newtonian order

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:39:28.838202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:e06e3410d3d7684920bf5937c7a0176d8d69eefd65f3dc18ff0a936482c105b4

Observation bba21b4a-bb27-49b5-96fe-5dd511e5c067 · outbound

This paper cites Integrability and action-angle-based solution of the post-Newtonian BBH system (lecture notes).

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Integrability and action-angle-based solution of the post-Newtonian BBH system (lecture notes)

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.868129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:30e66c7ffa3079c7320001492a6b9fd0f43044e35ccd7e39984146f13557da66

Observation d10c4701-73c7-4162-95bf-dc42ffcfb99c · outbound

This paper cites Fasano, S.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Fasano, S

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.156695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:c24b11cd227425a88fe1f14670bb0fb33509acaa6da90c496c734370e0d1e11f

Observation 30e2a651-dfc2-4aa1-9c26-e9a13b0b75cb · outbound

This paper cites Arnold, K.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Arnold, K

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.175492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:5a7f56bbeb6f6cf445c0c25c160bba2a8ddc8d867358a3e0468be13decaf6220

Observation be5ab94d-a0ca-45b1-a57b-6623d2fb98bf · outbound

This paper cites Abraham and J.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Abraham and J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.209842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:2cec84b9a0e41752e77a31a3a1d8364383da5627d9879be567fbbec65751dfe9

Observation aa98ffa7-91f5-4c12-8fe0-beeb14b62cf3 · outbound

This paper cites da Silva,Lectures on Symplectic Geometry, Lecture Notes in Mathematics No.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order da Silva,Lectures on Symplectic Geometry, Lecture Notes in Mathematics No

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.185128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:4cb6a0adda8317caa20f2ce35f01574d43682181b882552e7fbdb84b3f01bad2

Observation 93e531cf-96ee-4788-a6d5-addb0e46fb98 · outbound

This paper cites an unresolved cited work.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-24T12:39:29.219777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:284b6fcf550393ecc7b9b864d67b46d1b2cfdf9090f3386bef9fbb7e21893869

Observation b2442539-f946-4068-bdf3-ec07a9edcef3 · outbound

This paper cites On the equal-mass limit of precessing black-hole binaries.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order On the equal-mass limit of precessing black-hole binaries

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:39:28.874749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:fa87ef1791b66996f9ac8f34a9291fe83622b590af471b74951565723b131b77

Observation 2a7904ee-268c-4f75-b878-d412e8c3c049 · outbound

This paper cites Landau, E.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Landau, E

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.205250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:f0b3e2bed824895ee7a022f76857270367d1a927dc2565c50d4b0573279c8edf

Observation 469ed31d-a1e1-479b-a43c-049f0ec7542a · outbound

This paper cites Celestial mechanics in Kerr spacetime.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Celestial mechanics in Kerr spacetime

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:39:28.767148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:f9aacdf6a930e80f4b421e7950ec9fb6686dfa610b7cb930ad84504dca6afa7d

Observation 22f1fd06-581c-4f5d-9f79-2ba3c5fc47d3 · outbound

This paper cites Gopakumar and G.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Gopakumar and G

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.214484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:42349d424648e08800dc8a462b5d84b17817dafd379f605fd5b562dc5d862b5c

Observation 2ff1d214-3a56-428a-a3ca-2d053a6d1426 · outbound

This paper cites Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Generalized quasi-Keplerian solution for eccentric, non-spinning compact binaries at 4PN order and the associated IMR waveform

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.831218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:ab44d29bbf013b2bd9469868a0bcfb2a1627b7524804f16e8e4389e74c100d66

Observation f26cc386-25c8-4970-89ce-75b2c0550c01 · outbound

This paper cites Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Analytic Keplerian-type parametrization for general spinning compact binaries with the leading order spin-orbit interaction

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.931808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:21e3246cb19ffbd6ef4cba6e0d5eeff12e72721b7f5761eb11e2e42589aed546

Observation 8640c932-3d79-471b-a890-da9f40d541c6 · outbound

This paper cites Effective one-body approach to general relativistic two-body dynamics.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Effective one-body approach to general relativistic two-body dynamics

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-05-24T12:39:28.938682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:1191a3dbb1c61ef6d5f79436f5cb1f8492a66420fb014ffb494101207ff567ed

Observation 04c543bf-a79d-45fb-886a-b82da9e51d16 · outbound

This paper cites Hamilton-Jacobi equation for spinning particles near black holes.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Hamilton-Jacobi equation for spinning particles near black holes

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.960777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:b07605fc978f4baab291f5862228f777c82f2978f736cef6cceffea7dd9ef0b8

Observation 24c8ddc6-c0d4-4764-86e5-6fc6968c7b8f · outbound

This paper cites Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.907987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:ffd73b8a039cb69de4a5e4253b4a1e3d0deabd6e774d0077a68bcf56e11fed7b

Observation 5b396e46-0da2-41c6-9039-6ce3636ba895 · outbound

This paper cites Precisely computing bound orbits of spinning bodies around black holes II: Generic orbits.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Precisely computing bound orbits of spinning bodies around black holes II: Generic orbits

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:28.884399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:66cb02f41c939b91c0fae85e358cb7546ec7baaf45d1f92e5dcb3482a73eb279

Observation 028b8845-1efa-43eb-8867-3a5bd22ac560 · outbound

This paper cites an unresolved cited work.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-05-24T12:39:29.200146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:879f4e39f63597596021dd360eaf2615d6cb50a460eee8aa2f50d0893878605e

Observation 7c221c45-3414-4803-ba7a-4f788f7b8f79 · outbound

This paper cites Byrd and M.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Byrd and M

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.274235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:c2d1d9db68692940a6cedb565f86951c2cd93e5309027928243bff6bbfc41d5e

Observation 53ca0a94-a453-450d-a822-6aae295ea438 · outbound

This paper cites Whittaker and G.

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Whittaker and G

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.195296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:68215afa61b88ab85244d2cbabe34a5d9e12899001034c147b843d8fa3a562e9

Observation 71ca7ffd-ac01-4e4f-8a4d-4a5f281882d7 · outbound

This paper cites Lawden,Elliptic Functions and Applications, Applied Mathematical Sciences (Springer New York, 2013).

Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order Lawden,Elliptic Functions and Applications, Applied Mathematical Sciences (Springer New York, 2013)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T12:39:29.165573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-24T12:39:00.064402Z digest=sha256:c022277ebdf6b487cf501a897c7b4c62f75517107262fd86eaf7a0733abaf159

Pith citing papers

Observation f9c8305f-abb9-4e03-93c5-edb7510a366e · inbound

Non-adiabatic dynamics of eccentric black-hole binaries in post-Newtonian theory cites this paper.

Non-adiabatic dynamics of eccentric black-hole binaries in post-Newtonian theory Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order

Reference 85

Resolution
verified exact
local_arxiv, observed 2026-05-23T03:25:20.891887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-23T03:23:04.626466Z digest=sha256:f5416a34c711112413ef173c1780c1ed2131b1f2ef0c9e3b7b707e9bfcddfe21