Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T12:39:00.064402Z
Paper Citation Record · LEDGER
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.
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 2026-05-24T12:39:00.064402Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-23T03:23:04.626466Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-05-23T03:25:20.889070Z
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d8035c26-1890-44ef-9a48-3ebbeef19aab · outbound
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
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.
Observation 44260c80-5a77-4e85-9eab-cab9f695c88f · outbound
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
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.
Observation 9816638e-48ac-44ae-996b-9050e5189c66 · outbound
Action-angle variables of a binary black hole with arbitrary eccentricity, spins, and masses at 1.5 post-Newtonian order standard solution
Reference 3
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.
Observation 5b46d066-4171-4b3f-a357-99d56acc4c97 · outbound
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
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.
Observation 45036672-6a64-481c-8a9e-4256a5eedec2 · outbound
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
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.
Observation 2071020a-b862-47da-b4be-8962de8b3394 · outbound
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
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.
Observation c2630e05-e49e-487c-91f2-e662efe90862 · outbound
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
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.
Observation 7b02cae0-06b4-4c16-a6a3-9f539f7bd0ed · outbound
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
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.
Observation 1f396a4d-bdbf-4029-978a-ffc4eb62c652 · outbound
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
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.
Observation dab8b802-2663-4ce5-be44-7a118f29d945 · outbound
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
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.
Observation 1302b262-54ff-4872-8d80-a613c910de2b · outbound
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
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.
Observation 895bf5d7-ada6-4225-ae41-c154ac5a35d1 · outbound
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
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.
Observation e0aa0764-6779-47cc-973b-d97f2e58269e · outbound
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
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.
Observation e0540062-b981-4b7f-bb75-e9c82a0ee54f · outbound
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
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.
Observation 3c7e5336-7dfb-4156-87b4-c7fb2f734331 · outbound
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
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.
Observation 2ebca860-d36a-4325-8a0c-b339e06e0228 · outbound
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
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.
Observation 5b0b5533-ba19-4054-ad77-dcc5fd076b7a · outbound
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
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.
Observation a496c5c7-61e2-43e1-a0bf-0b25701f54a9 · outbound
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
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.
Observation 6f8a6268-61c1-470b-b7d8-5d6b1ccdb940 · outbound
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
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.
Observation 262481ee-0f10-4cfb-a221-dc5ffb6aff26 · outbound
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
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.
Observation e033e450-49ad-4e3e-a4f7-d2dd06e2367d · outbound
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
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.
Observation 1243c6f1-2258-4dae-a894-d26aaf646f42 · outbound
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
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.
Observation 9e0ad445-3cb9-4fc8-88d2-559fc91ea751 · outbound
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
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.
Observation bed65d4f-af93-4f86-8899-e4f0f722c36a · outbound
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
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.
Observation c2598744-c0c5-4098-b7c2-bfaf2a7a5924 · outbound
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
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.
Observation 9e86907b-b834-4b93-a30d-2e81ca5a4d02 · outbound
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
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.
Observation 9fa775d4-07db-43ec-b0e9-c8e6d3ab7a09 · outbound
Reference 28
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.
Observation 122a963b-0536-4a98-919c-7a8957f420c3 · outbound
Reference 29
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.
Observation 220c6af4-c1c1-44d3-984f-772413a9eaad · outbound
Reference 30
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.
Observation 486c951c-9a08-4c7d-9a95-84ec2cbfa9ac · outbound
Reference 31
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.
Observation 90717663-9b30-40f8-885e-e9e1abbbde6f · outbound
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
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.
Observation 1e054596-ec19-47a1-87bd-80e397c2b754 · outbound
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
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.
Observation bba21b4a-bb27-49b5-96fe-5dd511e5c067 · outbound
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
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.
Observation d10c4701-73c7-4162-95bf-dc42ffcfb99c · outbound
Reference 35
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.
Observation 30e2a651-dfc2-4aa1-9c26-e9a13b0b75cb · outbound
Reference 36
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.
Observation be5ab94d-a0ca-45b1-a57b-6623d2fb98bf · outbound
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
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.
Observation aa98ffa7-91f5-4c12-8fe0-beeb14b62cf3 · outbound
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
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.
Observation 93e531cf-96ee-4788-a6d5-addb0e46fb98 · outbound
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
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.
Observation b2442539-f946-4068-bdf3-ec07a9edcef3 · outbound
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
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.
Observation 2a7904ee-268c-4f75-b878-d412e8c3c049 · outbound
Reference 41
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.
Observation 469ed31d-a1e1-479b-a43c-049f0ec7542a · outbound
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
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.
Observation 22f1fd06-581c-4f5d-9f79-2ba3c5fc47d3 · outbound
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
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.
Observation 2ff1d214-3a56-428a-a3ca-2d053a6d1426 · outbound
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
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.
Observation f26cc386-25c8-4970-89ce-75b2c0550c01 · outbound
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
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.
Observation 8640c932-3d79-471b-a890-da9f40d541c6 · outbound
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
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.
Observation 04c543bf-a79d-45fb-886a-b82da9e51d16 · outbound
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
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.
Observation 24c8ddc6-c0d4-4764-86e5-6fc6968c7b8f · outbound
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
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.
Observation 5b396e46-0da2-41c6-9039-6ce3636ba895 · outbound
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
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.
Observation 028b8845-1efa-43eb-8867-3a5bd22ac560 · outbound
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
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.
Observation 7c221c45-3414-4803-ba7a-4f788f7b8f79 · outbound
Reference 51
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.
Observation 53ca0a94-a453-450d-a822-6aae295ea438 · outbound
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
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.
Observation 71ca7ffd-ac01-4e4f-8a4d-4a5f281882d7 · outbound
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
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.
Observation f9c8305f-abb9-4e03-93c5-edb7510a366e · inbound
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
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.