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Paper Citation Record · LEDGER

Numerical integration in celestial mechanics: a case for contact geometry

As of 23 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:1909.02613.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1909.02613 v3

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

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measured 41 of 41 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 3c3ab752-8f32-4589-bc57-1a9c72ad0aa0 · outbound

This paper cites an unresolved cited work.

Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 1

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Observation 5b32bcdb-bd8f-4ab9-9512-7d1ba5782caa · outbound

This paper cites I.Mathematical methods of classical mechanics.

Numerical integration in celestial mechanics: a case for contact geometry I.Mathematical methods of classical mechanics

Reference 2

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Observation 358547bb-235c-4666-a1d1-f49a7fb0ce7a · outbound

This paper cites Entropy, 19, 2017.

Numerical integration in celestial mechanics: a case for contact geometry Entropy, 19, 2017

Reference 3

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Observation ca113712-504b-4e52-84fb-68ee366238d1 · outbound

This paper cites Contact geometry and thermodynamics.

Numerical integration in celestial mechanics: a case for contact geometry Contact geometry and thermodynamics

Reference 4

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Observation c2395c60-2284-4097-8ec0-0599def0e3f6 · outbound

This paper cites & Tapias D.Contact Hamiltonian mechanics.

Numerical integration in celestial mechanics: a case for contact geometry & Tapias D.Contact Hamiltonian mechanics

Reference 5

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Observation aeda6ef8-19af-4ad0-b2a7-41ebb8f7440e · outbound

This paper cites & Zadra F.

Numerical integration in celestial mechanics: a case for contact geometry & Zadra F

Reference 6

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Observation 9298b199-1a22-4e74-9eb6-eb0408c64a15 · outbound

This paper cites & Jackson A.Unified analytical solutions to two-body problems with drag.

Numerical integration in celestial mechanics: a case for contact geometry & Jackson A.Unified analytical solutions to two-body problems with drag

Reference 7

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Source-reported events for the cited work

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Observation 77944e5c-b1d5-489e-8ccb-924c1f270e8c · outbound

This paper cites & Yan J.Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations.

Numerical integration in celestial mechanics: a case for contact geometry & Yan J.Herglotz’ generalized variational principle and contact type Hamilton-Jacobi equations

Reference 8

Resolution
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Source-reported events for the cited work

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Observation 5468517f-a02c-426f-9884-620617ab4123 · outbound

This paper cites Tables of the Developments of Functions in the Theory of Elliptic Motion.

Numerical integration in celestial mechanics: a case for contact geometry Tables of the Developments of Functions in the Theory of Elliptic Motion

Reference 9

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Observation 92d947d3-1579-4335-8079-66682b995e8e · outbound

This paper cites Zeitschrift für angewandte Mathe- matik und Physik ZAMP, 41:174–204, Mar 1990.

Numerical integration in celestial mechanics: a case for contact geometry Zeitschrift für angewandte Mathe- matik und Physik ZAMP, 41:174–204, Mar 1990

Reference 10

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Observation 64c311bb-3880-4f1b-8414-dfb4c4e7c6cb · outbound

This paper cites & Chandrasekhar S.An introduction to the study of stellar structure.

Numerical integration in celestial mechanics: a case for contact geometry & Chandrasekhar S.An introduction to the study of stellar structure

Reference 11

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Observation 54f8ab1b-2b82-4780-8657-67a40e486e70 · outbound

This paper cites Contact manifolds and dissipation, classical and quantum.

Numerical integration in celestial mechanics: a case for contact geometry Contact manifolds and dissipation, classical and quantum

Reference 12

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Observation e799252c-fc09-4ef1-9149-07e11da95fe6 · outbound

This paper cites & Sardón C.

Numerical integration in celestial mechanics: a case for contact geometry & Sardón C

Reference 13

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Observation 64f1b38a-be71-449a-9cab-3187274a0162 · outbound

This paper cites Singular Lagrangians and precontact Hamiltonian Systems.

Numerical integration in celestial mechanics: a case for contact geometry Singular Lagrangians and precontact Hamiltonian Systems

Reference 14

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Observation f1052391-3fb4-4c77-8eca-9884ec9c2601 · outbound

This paper cites Two-body problems with drag or thrust: qualitative results.

Numerical integration in celestial mechanics: a case for contact geometry Two-body problems with drag or thrust: qualitative results

Reference 15

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Observation e3bed33c-a55d-40ef-b0d8-d1fc4f9dd254 · outbound

This paper cites & Torres P.

Numerical integration in celestial mechanics: a case for contact geometry & Torres P

Reference 16

Resolution
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Observation 78b769c5-dab1-4294-86f5-e389a012fb2b · outbound

This paper cites A contact geometry framework for field theories with dissipation.

Numerical integration in celestial mechanics: a case for contact geometry A contact geometry framework for field theories with dissipation

Reference 17

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Observation 8ee8696c-b0b3-4186-8bc4-7e4ddfc0fc36 · outbound

This paper cites New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries.

Numerical integration in celestial mechanics: a case for contact geometry New contributions to the Hamiltonian and Lagrangian contact formalisms for dissipative mechanical systems and their symmetries

Reference 18

Resolution
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Observation 997b1876-547c-4d39-9f11-d3d82bd9210a · outbound

This paper cites An introduction to contact topology.

Numerical integration in celestial mechanics: a case for contact geometry An introduction to contact topology

Reference 19

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Observation 875339dd-bb75-418a-a610-f6c8dd3d674d · outbound

This paper cites & Bodurov T.Generalized variational principle of Herglotz for several independent variables.

Numerical integration in celestial mechanics: a case for contact geometry & Bodurov T.Generalized variational principle of Herglotz for several independent variables

Reference 20

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This paper cites & Celletti A.Hamiltonian formu- lation of the spin-orbit model with time-varying non-conservative forces.

Numerical integration in celestial mechanics: a case for contact geometry & Celletti A.Hamiltonian formu- lation of the spin-orbit model with time-varying non-conservative forces

Reference 21

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Observation 46677c4e-ebb6-4877-a76c-9f0bfdcaa309 · outbound

This paper cites Geometric Numerical Integration: Structure- Preserving Algorithms for Ordinary Differential Equations.

Numerical integration in celestial mechanics: a case for contact geometry Geometric Numerical Integration: Structure- Preserving Algorithms for Ordinary Differential Equations

Reference 22

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Observation 6d93ba16-11c5-4281-af33-865d19f88848 · outbound

This paper cites Vorlesungen über die Theorie der Berührungstransformationen.

Numerical integration in celestial mechanics: a case for contact geometry Vorlesungen über die Theorie der Berührungstransformationen

Reference 23

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Observation e046855d-4624-4e0a-a793-e8fa825a1cba · outbound

This paper cites J., Paiva J., Amaral J.

Numerical integration in celestial mechanics: a case for contact geometry J., Paiva J., Amaral J

Reference 24

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Observation e1445fb7-c3d0-4e4e-acea-65a27e91ba77 · outbound

This paper cites J., Paiva J., Amaral J.

Numerical integration in celestial mechanics: a case for contact geometry J., Paiva J., Amaral J

Reference 25

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 26

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This paper cites & Rebelo C.Dynamics of Kepler problem with linear drag.

Numerical integration in celestial mechanics: a case for contact geometry & Rebelo C.Dynamics of Kepler problem with linear drag

Reference 27

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 28

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 29

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Numerical integration in celestial mechanics: a case for contact geometry & Saake N

Reference 30

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 31

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Numerical integration in celestial mechanics: a case for contact geometry & Taghavi A

Reference 32

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 33

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Observation 0b71ea09-99a9-4a9d-9bac-85d669a36874 · outbound

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Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 34

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Observation 492fc98d-a877-4d33-a9bc-28b6224be3d6 · outbound

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Numerical integration in celestial mechanics: a case for contact geometry slimplectic

Reference 35

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Observation 5049e86e-6905-41e0-ba33-87b71e168fc2 · outbound

This paper cites an unresolved cited work.

Numerical integration in celestial mechanics: a case for contact geometry Unresolved cited work

Reference 36

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unresolved
raw_fallback, observed 2026-08-14T04:54:39.924101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.747383Z digest=sha256:5639e6474b8d30965f2b27374354da07dde38920739c2f5f000417e3873d9b4d

Observation e98e9f89-c771-4f11-a02c-f9fab542a2de · outbound

This paper cites Lie groups, Lie algebras, and their representations.

Numerical integration in celestial mechanics: a case for contact geometry Lie groups, Lie algebras, and their representations

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:54:39.911355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.751062Z digest=sha256:8bd8206592f1d8a4c9505c268f858bd0ce2d8a12b93e5b3b93705510675c6144

Observation d5455fa0-e302-4355-9a3e-8f0b5fb22ad7 · outbound

This paper cites & Seri M.Contact variational integrators.

Numerical integration in celestial mechanics: a case for contact geometry & Seri M.Contact variational integrators

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:54:39.899768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.754556Z digest=sha256:21507da2532f616e33492220b984ea413202f87f11027a97c3e4baa32fb95ecd

Observation 66227d08-dd17-44fe-86c0-16ca359d9844 · outbound

This paper cites & Yan J.Implicit variational principle for contact Hamil- tonian systems.

Numerical integration in celestial mechanics: a case for contact geometry & Yan J.Implicit variational principle for contact Hamil- tonian systems

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:54:39.887351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.758301Z digest=sha256:c58f0b3440501135d462a66cdbd6a2026b891b9a29550382b3c734a10e213715

Observation 1cc7e195-90f7-451f-84d1-60b41dc957f7 · outbound

This paper cites & Yan J.Aubry–Mather theory for contact Hamiltonian systems.

Numerical integration in celestial mechanics: a case for contact geometry & Yan J.Aubry–Mather theory for contact Hamiltonian systems

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:54:39.875449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.762026Z digest=sha256:5c9155425919035d61ed866f2d4ad6b8fa5877c2a00be2e1f405a366bf4f43da

Observation 13cee92d-68d3-4796-be91-4c345f3e6bdd · outbound

This paper cites Physics letters A, 150:262–268, 1990.

Numerical integration in celestial mechanics: a case for contact geometry Physics letters A, 150:262–268, 1990

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T04:54:39.862761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-14T04:54:39.765563Z digest=sha256:9849f5ba3fd6514762489002a32390f489e96f1b8aaa3bf94d1329a2150ed87c

Pith citing papers

No inbound Pith citation observations are available.