Paper Citation Record · LEDGER

Revisiting critical orbits of test particles traveling in a black hole background

As of 19 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2602.09568.

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pith.paper-citation-record.v1
2602.09568 v2

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measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-03T03:00:12.991640Z

measured 42 of 42 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Outbound references

Observation f6460fbb-10e0-403d-a464-9798ea8d00c5 · outbound

This paper cites null geodesic We then consider the radial motion.

Revisiting critical orbits of test particles traveling in a black hole background null geodesic We then consider the radial motion

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:07.055762Z

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Observation cd3f14ec-7726-400e-a762-c64fa601532e · outbound

This paper cites In Reissner-Nordstr¨ om (RN) spacetime, Grunau and Kagramanova [3] provided an analytical solution for the motion of electrically and mag- netically charged test particles.

Revisiting critical orbits of test particles traveling in a black hole background In Reissner-Nordstr¨ om (RN) spacetime, Grunau and Kagramanova [3] provided an analytical solution for the motion of electrically and mag- netically charged test particles

Reference 2

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Observation c01d6a0a-ddf4-4470-a425-86f8ac541f3d · outbound

This paper cites Whenµ 2 =µ 2 2, the orbits reach the turning anglesθ= π 2 ±θ m, where θm = arccosµ 2.

Revisiting critical orbits of test particles traveling in a black hole background Whenµ 2 =µ 2 2, the orbits reach the turning anglesθ= π 2 ±θ m, where θm = arccosµ 2

Reference 3

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Observation 1fd33f94-7138-479f-8f42-dd4b6cd40689 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:07.565394Z

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Observation 7b72073b-43b0-44b4-b63b-374635aa0bf4 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 5

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Observation f56d4d4d-20eb-4e65-9cd6-086911c707a7 · outbound

This paper cites Hagihara, Theory of the Relativistic Trajectories in a Gravitational Field of Schwarzschild, Japanese Journal of Astronomy and Geophysics8, 67-176 (1931).

Revisiting critical orbits of test particles traveling in a black hole background Hagihara, Theory of the Relativistic Trajectories in a Gravitational Field of Schwarzschild, Japanese Journal of Astronomy and Geophysics8, 67-176 (1931)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:07.351343Z

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Observation 4c5c93f3-c63c-4b87-8adf-555b9c1bd21f · outbound

This paper cites Grunau and V.

Revisiting critical orbits of test particles traveling in a black hole background Grunau and V

Reference 7

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Observation 8a296e62-dbd3-433e-a862-f133b79a2bf0 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 8

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Observation 3c14e6b6-51a9-4e90-88a7-d7a4f2a11337 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 9

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Observation fef2658e-4a6a-4ace-90ef-124e73757ccd · outbound

This paper cites Darwin, The gravity field of a particle,Proc.

Revisiting critical orbits of test particles traveling in a black hole background Darwin, The gravity field of a particle,Proc

Reference 10

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Observation f8a5564b-a774-4283-8417-69e35712d79b · outbound

This paper cites Darwin, The gravity field of a particle II,Proc.

Revisiting critical orbits of test particles traveling in a black hole background Darwin, The gravity field of a particle II,Proc

Reference 11

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Observation 7ac267d2-26bb-49d6-a7d8-2944f642da87 · outbound

This paper cites Fujita and W.

Revisiting critical orbits of test particles traveling in a black hole background Fujita and W

Reference 12

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Observation ba99db3c-7c24-4ca8-acce-78d47f88a3c3 · outbound

This paper cites Scharf, Schwarzchild Geodesics in terms of Elliptic functions and the related red shift,J.

Revisiting critical orbits of test particles traveling in a black hole background Scharf, Schwarzchild Geodesics in terms of Elliptic functions and the related red shift,J

Reference 13

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Observation 8ed0d6d7-b5cb-430d-9cb6-1beb37ec2b8f · outbound

This paper cites Carter, Global structure of Kerr family of gravitational fields,Phys.

Revisiting critical orbits of test particles traveling in a black hole background Carter, Global structure of Kerr family of gravitational fields,Phys

Reference 14

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Observation eb891a21-3653-4b59-834b-3a8fa749441f · outbound

This paper cites Mino, Perturbative approach to an orbital evolution around a supermassive black hole, Phys.

Revisiting critical orbits of test particles traveling in a black hole background Mino, Perturbative approach to an orbital evolution around a supermassive black hole, Phys

Reference 15

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Observation 2da6a365-d4e2-40da-a7f0-2a52efb93759 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 16

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Observation 630200bb-ac29-4ab3-bc98-7f9fc8ac77c5 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 17

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Observation 7222bf34-0534-4005-b125-314a584ce779 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 18

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Observation 97fe8f22-2ee2-47b6-a6ce-9fffecd48d98 · outbound

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 19

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Observation 453bfb22-0f9d-422d-ae6d-9bea5b060458 · outbound

This paper cites Hackmann and C.

Revisiting critical orbits of test particles traveling in a black hole background Hackmann and C

Reference 20

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Observation 4858336a-c42e-422d-a83a-c58a5110e6d7 · outbound

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:09.727719Z

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Observation c6b05626-7815-4527-87b4-48ba3bc5bad6 · outbound

This paper cites Hackmann and C.

Revisiting critical orbits of test particles traveling in a black hole background Hackmann and C

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:09.843963Z

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Observation d7677115-e1cf-4bb7-b2a7-3b7545bceba9 · outbound

This paper cites Hackmann and C.

Revisiting critical orbits of test particles traveling in a black hole background Hackmann and C

Reference 23

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Observation 22ac340d-1deb-4120-acd9-eafd1499d863 · outbound

This paper cites O’Neill,The Geometry of Kerr Black Holes(A K Peters, Ltd., Natick, Massachusetts, 1995).

Revisiting critical orbits of test particles traveling in a black hole background O’Neill,The Geometry of Kerr Black Holes(A K Peters, Ltd., Natick, Massachusetts, 1995)

Reference 24

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Observation 7d1de60a-086f-4430-9415-bf214c06e340 · outbound

This paper cites Hackmann, C.

Revisiting critical orbits of test particles traveling in a black hole background Hackmann, C

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:10.334758Z

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Observation 8454e9ad-5dfc-43ef-b440-1aad2be32f29 · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 26

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Observation c0817359-43fe-44a5-bf09-c75dbd9da402 · outbound

This paper cites Chandrasekhar,The Mathematical Theory of Black Holes(Clarendon Press, Oxford, 1983).

Revisiting critical orbits of test particles traveling in a black hole background Chandrasekhar,The Mathematical Theory of Black Holes(Clarendon Press, Oxford, 1983)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:10.617452Z

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Observation 7fa63173-713a-45bf-9391-60df28d8daa4 · outbound

This paper cites Mach and A.

Revisiting critical orbits of test particles traveling in a black hole background Mach and A

Reference 28

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Observation 189f1ac5-a1ed-4b4e-a13e-3a62f257ee2d · outbound

This paper cites Lammerzahl and E.

Revisiting critical orbits of test particles traveling in a black hole background Lammerzahl and E

Reference 29

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Observation 61f10aba-7737-440b-b151-7c1f5a37b63a · outbound

This paper cites In a related development, Mach et al.

Revisiting critical orbits of test particles traveling in a black hole background In a related development, Mach et al

Reference 30

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Observation 7f8c0599-f89f-40b4-b57f-e526d4ca2807 · outbound

This paper cites Rioseco and O.

Revisiting critical orbits of test particles traveling in a black hole background Rioseco and O

Reference 31

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Observation fe9c8fdf-902a-4662-9699-fc3378322193 · outbound

This paper cites Rioseco and O.

Revisiting critical orbits of test particles traveling in a black hole background Rioseco and O

Reference 32

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Observation 22b2c41a-20c1-44ce-951f-fdadfa2aac38 · outbound

This paper cites Mach and A.

Revisiting critical orbits of test particles traveling in a black hole background Mach and A

Reference 33

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Observation b30a4f8f-187f-4f95-b6c2-a269232e0340 · outbound

This paper cites Cie´ slik and P.

Revisiting critical orbits of test particles traveling in a black hole background Cie´ slik and P

Reference 34

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:11.796997Z

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:11.957698Z

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 37

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Observation c62ee19a-5f61-460b-8419-f534c441142e · outbound

This paper cites an unresolved cited work.

Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 38

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Observation 0b8ae375-66cb-442b-8f13-4c0ceda71b91 · outbound

This paper cites Cie´ slik, P.

Revisiting critical orbits of test particles traveling in a black hole background Cie´ slik, P

Reference 39

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Observation 316fc8eb-5e25-4e9b-abfb-2d925f3f2d1e · outbound

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 40

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Observation 12c77591-b188-4f0a-98e9-708a74dac50b · outbound

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T03:00:12.884837Z

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Observation 84638b8b-3c8f-4851-9568-93352142e23a · outbound

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Revisiting critical orbits of test particles traveling in a black hole background Unresolved cited work

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