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REVIEW 2 major objections 2 minor 3 cited by

The Euclid telescope's temperature-induced optical deformations stay well below the limits needed for weak lensing cosmology.

Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →

T0 review

2026-05-17 02:28 UTC

load-bearing objection Euclid's STOP analysis confirms the telescope meets WL PSF limits with small in-orbit surprises noted. the 2 major comments →

arxiv 2512.01075 v1 submitted 2025-11-30 astro-ph.IM

Euclid Structural-Thermal-Optical Performance

Euclid Collaboration: A. Anselmi , R. Laureijs , G. D. Racca , G. Costa , L. Courcould Mifsud , J.-C. Cuillandre , M. Gottero , H. Hoekstra
show 284 more authors
K. Kuijken V. Mareschi L. Miller S. Mottini D. Stramaccioni B. Altieri A. Amara S. Andreon N. Auricchio C. Baccigalupi M. Baldi A. Balestra S. Bardelli R. Bender A. Biviano E. Branchini M. Brescia S. Camera G. Canas-Herrera V. Capobianco C. Carbone J. Carretero M. Castellano G. Castignani S. Cavuoti A. Cimatti C. Colodro-Conde G. Congedo C. J. Conselice L. Conversi Y. Copin F. Courbin H. M. Courtois M. Cropper A. Da Silva H. Degaudenzi G. De Lucia H. Dole F. Dubath F. Ducret C. A. J. Duncan X. Dupac S. Dusini S. Escoffier M. Fabricius M. Farina R. Farinelli F. Faustini S. Ferriol F. Finelli N. Fourmanoit M. Frailis E. Franceschi M. Fumana S. Galeotta K. George B. Gillis C. Giocoli J. Gracia-Carpio A. Grazian F. Grupp S. V. H. Haugan J. Hoar W. Holmes F. Hormuth A. Hornstrup K. Jahnke M. Jhabvala E. Keihanen S. Kermiche A. Kiessling R. Kohley B. Kubik M. Kunz H. Kurki-Suonio A. M. C. Le Brun S. Ligori P. B. Lilje V. Lindholm I. Lloro G. Mainetti D. Maino E. Maiorano O. Mansutti O. Marggraf M. Martinelli N. Martinet F. Marulli R. J. Massey E. Medinaceli S. Mei Y. Mellier M. Meneghetti E. Merlin G. Meylan A. Mora M. Moresco L. Moscardini R. Nakajima C. Neissner R. C. Nichol S.-M. Niemi C. Padilla S. Paltani F. Pasian K. Pedersen W. J. Percival V. Pettorino S. Pires G. Polenta M. Poncet L. A. Popa F. Raison R. Rebolo A. Renzi J. Rhodes G. Riccio E. Romelli M. Roncarelli C. Rosset E. Rossetti R. Saglia Z. Sakr J.-C. Salvignol A. G. Sanchez D. Sapone B. Sartoris M. Schirmer P. Schneider T. Schrabback A. Secroun G. Seidel S. Serrano C. Sirignano G. Sirri J. Skottfelt L. Stanco J. Steinwagner P. Tallada-Cresp D. Tavagnacco A. N. Taylor H. I. Teplitz I. Tereno N. Tessore S. Toft R. Toledo-Moreo F. Torradeflot I. Tutusaus E. A. Valentijn L. Valenziano J. Valiviita T. Vassallo G. Verdoes Kleijn A. Veropalumbo Y. Wang J. Weller A. Zacchei G. Zamorani E. Zucca M. Ballardini M. Bolzonella E. Bozzo C. Burigana R. Cabanac A. Cappi J. A. Escartin Vigo L. Gabarra W. G. Hartley J. Martin Fleitas S. Matthew N. Mauri R. B. Metcalf A. Pezzotta M. Pontinen I. Risso V. Scottez M. Sereno M. Tenti M. Viel M. Wiesmann Y. Akrami I. T. Andika S. Anselmi M. Archidiacono F. Atrio-Barandela D. Bertacca M. Bethermin A. Blanchard L. Blot M. Bonici S. Borgani M. L. Brown S. Bruton A. Calabro B. Camacho Quevedo F. Caro C. S. Carvalho T. Castro F. Cogato S. Conseil A. R. Cooray O. Cucciati S. Davini G. Desprez A. Diaz-Sanchez J. J. Diaz S. Di Domizio J. M. Diego M. Y. Elkhashab A. Enia Y. Fang A. G. Ferrari A. Finoguenov A. Franco K. Ganga J. Garcia-Bellido T. Gasparetto E. Gaztanaga F. Giacomini F. Gianotti G. Gozaliasl M. Guidi C. M. Gutierrez A. Hall H. Hildebrandt J. Hjorth J. J. E. Kajava Y. Kang V. Kansal D. Karagiannis K. Kiiveri J. Kim C. C. Kirkpatrick S. Kruk J. Le Graet L. Legrand M. Lembo F. Lepori G. Leroy G. F. Lesci J. Lesgourgues L. Leuzzi T. I. Liaudat S. J. Liu A. Loureiro J. Macias-Perez M. Magliocchetti F. Mannucci R. Maoli C. J. A. P. Martins L. Maurin M. Miluzio P. Monaco A. Montoro C. Moretti G. Morgante S. Nadathur K. Naidoo A. Navarro-Alsina S. Nesseris D. Paoletti F. Passalacqua K. Paterson L. Patrizii A. Pisani D. Potter S. Quai M. Radovich S. Sacquegna M. Sahlen D. B. Sanders E. Sarpa A. Schneider D. Sciotti E. Sellentin L. C. Smith K. Tanidis G. Testera R. Teyssier S. Tosi A. Troja M. Tucci C. Valieri A. Venhola D. Vergani G. Verza P. Vielzeuf N. A. Walton
This is my paper
classification astro-ph.IM
keywords EuclidSTOP analysisweak gravitational lensingPSF stabilitytelescope performancethermal deformationsfinite element modeling
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows through prelaunch structural-thermal-optical performance analysis that the Euclid telescope meets its stringent image quality requirements under various thermal conditions. It uses a finite-element model to predict how spacecraft temperature variations deform the optics and affect the point spread function critical for measuring galaxy shapes. This verification matters because the mission's ability to probe dark energy and dark matter relies on keeping these distortions small enough not to bias the cosmological signals. Early in-orbit data supports the predictions while revealing minor additional sensitivities.

Core claim

The results of the prelaunch STOP analysis demonstrated that temperature-induced optical perturbations will be well below the allowable limits for all permitted observing conditions, confirming the excellent overall performance of the telescope for the Euclid mission's weak lensing science.

What carries the argument

The structural-thermal-optical performance (STOP) analysis that integrates a detailed finite-element mathematical model of the spacecraft with worst-case steady-state and transient thermal boundary conditions to evaluate optical train deformations.

Load-bearing premise

The finite-element model and the defined worst-case boundary conditions accurately represent the real thermal and structural behavior of the spacecraft and its optical components in orbit.

What would settle it

If actual in-orbit measurements of image quality metrics as a function of temperature show deviations larger than predicted by the STOP analysis, that would indicate the model does not fully capture the interactions.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

If this is right

  • The telescope maintains the required PSF stability across all allowed observing conditions.
  • In-orbit temperature variations under 300 mK produce detectable but small effects on image quality metrics.
  • The STOP model aids in interpreting measured performance variations with environmental changes.
  • Overall, the built telescope satisfies the error budget allocations for weak lensing observations.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This approach could inform thermal management strategies for other precision space telescopes targeting cosmological measurements.
  • Detecting unpredicted disturbances in orbit points to the value of combining models with real-time monitoring for PSF stability.
  • Refining the model with in-orbit data might allow tighter error budgets or improved data processing for future observations.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

2 major / 2 minor

Summary. The manuscript presents a structural-thermal-optical performance (STOP) analysis for the Euclid telescope using a detailed finite-element model. It defines a standard set of steady-state and transient test cases with worst-case boundary conditions, verifies that temperature-induced optical perturbations remain below allowable limits for weak-lensing PSF stability requirements, and uses the prelaunch predictions to interpret first-year in-orbit data that show temperature variations <300 mK together with some unpredicted disturbances.

Significance. If the finite-element model and chosen boundary conditions correctly capture the relevant couplings, the work supplies a rare end-to-end pre- and post-launch validation of STOP predictions against actual flight data for a cosmology mission. The demonstration that perturbations stay within the global error budget, even after accounting for observed in-orbit sensitivities, strengthens in the telescope’s PSF stability for weak-lensing science and provides a useful benchmark for future high-precision space telescopes.

major comments (2)
  1. [Abstract / Results] Abstract and Results: The central claim that 'temperature-induced optical perturbations will be well below the allowable limits for all permitted observing conditions' is load-bearing, yet the same paragraph reports that 'unpredicted disturbances were discovered and unexpected sensitivities were revealed' despite temperature variations remaining <300 mK. A quantitative comparison (e.g., predicted versus measured contributions to the PSF stability budget) is needed to show that these disturbances do not erode the claimed margin.
  2. [Methods] Methods: The manuscript states that 'a detailed finite-element mathematical model was set up' and 'a standard set of test cases … comprising combinations of worst-case boundary conditions' was defined. Without explicit description of mesh convergence, material-property validation against test data, or the precise envelope of the boundary conditions relative to the observed in-orbit disturbances, it is not possible to assess whether the model fully captured the structural-thermal-optical interactions that later appeared in flight.
minor comments (2)
  1. [Abstract] The abstract would be clearer if it reported the numerical margins (e.g., predicted perturbation versus allowable limit) rather than the qualitative statement 'well below'.
  2. Figure captions and axis labels should explicitly state the units and reference frames used for the reported image-quality metrics so that readers can directly compare prelaunch predictions with the in-orbit time histories.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive feedback and positive overall assessment of our manuscript. We address each of the major comments in detail below and propose revisions to improve clarity and completeness.

read point-by-point responses
  1. Referee: [Abstract / Results] Abstract and Results: The central claim that 'temperature-induced optical perturbations will be well below the allowable limits for all permitted observing conditions' is load-bearing, yet the same paragraph reports that 'unpredicted disturbances were discovered and unexpected sensitivities were revealed' despite temperature variations remaining <300 mK. A quantitative comparison (e.g., predicted versus measured contributions to the PSF stability budget) is needed to show that these disturbances do not erode the claimed margin.

    Authors: The central claim refers specifically to the pre-launch STOP analysis performed with worst-case boundary conditions, which demonstrated that temperature-induced optical perturbations remain well below allowable limits. The unpredicted disturbances and unexpected sensitivities observed in the first year of flight data are additional factors not directly tied to the <300 mK temperature variations; the manuscript already notes that these temperature effects, while detectable, remain non-negligible but manageable within the overall PSF stability budget. We agree that an explicit quantitative comparison of predicted versus measured contributions would strengthen the presentation. We will add this comparison (including supporting figures or tables) to the revised manuscript. revision: yes

  2. Referee: [Methods] Methods: The manuscript states that 'a detailed finite-element mathematical model was set up' and 'a standard set of test cases … comprising combinations of worst-case boundary conditions' was defined. Without explicit description of mesh convergence, material-property validation against test data, or the precise envelope of the boundary conditions relative to the observed in-orbit disturbances, it is not possible to assess whether the model fully captured the structural-thermal-optical interactions that later appeared in flight.

    Authors: We acknowledge that additional methodological detail would aid assessment of model fidelity. The finite-element model was developed and exercised during spacecraft development, with internal checks including mesh convergence and material-property validation against test data. To address the referee's point directly, we will expand the Methods section in the revision to describe the mesh convergence criteria employed, the material-property validation process, and the relationship of the worst-case boundary-condition envelope to the observed in-orbit temperature variations and disturbances. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the Euclid STOP performance derivation

full rationale

The paper's derivation consists of constructing a detailed finite-element mathematical model of the spacecraft, applying a defined set of worst-case steady-state and transient boundary conditions, and computing the resulting optical train deformations to verify that temperature-induced perturbations fall below the WL error budget allocations. This is a standard forward physical simulation whose outputs are compared to independent external requirements rather than being defined in terms of those outputs. The in-orbit section uses the prelaunch model predictions only as an interpretive aid for measured data and does not feed measured performance back into the original verification claim. No self-definitional equations, fitted inputs renamed as predictions, load-bearing self-citations, or imported uniqueness theorems appear in the provided text. The chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the accuracy of the finite-element model representing real spacecraft behavior and on the chosen worst-case boundary conditions being representative. No explicit free parameters, new physical entities, or ad-hoc axioms are described in the abstract.

axioms (1)
  • domain assumption The finite-element mathematical model accurately captures the structural, thermal, and optical interactions of the spacecraft under the defined boundary conditions.
    This assumption is invoked when setting up the STOP analysis and interpreting its results as predictive of in-orbit performance.

pith-pipeline@v0.9.0 · 7216 in / 1438 out tokens · 64205 ms · 2026-05-17T02:28:21.139030+00:00 · methodology

0 comments
read the original abstract

The Euclid system performance is defined in terms of image quality metrics tuned to the weak gravitational lensing (WL) cosmological probe. WL induces stringent requirements on the shape and stability of the VIS instrument system point spread function (PSF). The PSF is affected by error contributions from the telescope, the focal plane and image motion, and is controlled by a global error budget with error allocations to each contributor. Aims. During spacecraft development, we verified through a structural-thermal-optical performance (STOP) analysis that the built and verified telescope with its spacecraft interface meets the in-orbit steady-state and transient image quality requirements. Methods. For the purposes of the STOP analysis, a detailed finite-element mathematical model was set up and a standard set of test cases, both steady-state and transient, was defined, comprising combinations of worst-case boundary conditions. Results. The STOP analysis addressed the interaction of all spacecraft components in transmitting temperature-induced loads that lead to optical train deformation. The results of the prelaunch analysis demonstrated that temperature-induced optical perturbations will be well below the allowable limits for all permitted observing conditions. During the first year in orbit, we used the STOP analysis predictions to help interpret the measured performance as a function of environmental variables. Unpredicted disturbances were discovered and unexpected sensitivities were revealed. In-orbit temperature variations are small (<300 mK) and so are their effects on the telescope structure, but they are detected in the time histories of the image quality metrics and are a non-negligible factor in the PSF stability budget demanded by the WL science. Taking everything into account, our analysis confirms the excellent overall performance of the telescope.

Figures

Figures reproduced from arXiv: 2512.01075 by A. Amara, A. Balestra, A. Biviano, A. Blanchard, A. Calabro, A. Cappi, A. Cimatti, A. Da Silva, A. Diaz-Sanchez, A. Enia, A. Finoguenov, A. Franco, A. G. Ferrari, A. Grazian, A. G. Sanchez, A. Hall, A. Hornstrup, A. Kiessling, A. Loureiro, A. M. C. Le Brun, A. Montoro, A. Mora, A. Navarro-Alsina, A. N. Taylor, A. Pezzotta, A. Pisani, A. R. Cooray, A. Renzi, A. Schneider, A. Secroun, A. Troja, A. Venhola, A. Veropalumbo, A. Zacchei, B. Altieri, B. Camacho Quevedo, B. Gillis, B. Kubik, B. Sartoris, C. A. J. Duncan, C. Baccigalupi, C. Burigana, C. Carbone, C. C. Kirkpatrick, C. Colodro-Conde, C. Giocoli, C. J. A. P. Martins, C. J. Conselice, C. M. Gutierrez, C. Moretti, C. Neissner, C. Rosset, C. S. Carvalho, C. Sirignano, C. Valieri, D. Bertacca, D. B. Sanders, D. Karagiannis, D. Maino, D. Paoletti, D. Potter, D. Sapone, D. Sciotti, D. Stramaccioni, D. Tavagnacco, D. Vergani, E. A. Valentijn, E. Bozzo, E. Branchini, E. Franceschi, E. Gaztanaga, E. Keihanen, E. Maiorano, E. Medinaceli, E. Merlin, E. Romelli, E. Rossetti, E. Sarpa, E. Sellentin, Euclid Collaboration: A. Anselmi, E. Zucca, F. Atrio-Barandela, F. Caro, F. Cogato, F. Courbin, F. Dubath, F. Ducret, F. Faustini, F. Finelli, F. Giacomini, F. Gianotti, F. Grupp, F. Hormuth, F. Lepori, F. Mannucci, F. Marulli, F. Pasian, F. Passalacqua, F. Raison, F. Torradeflot, G. Canas-Herrera, G. Castignani, G. Congedo, G. Costa, G. De Lucia, G. Desprez, G. D. Racca, G. F. Lesci, G. Gozaliasl, G. Leroy, G. Mainetti, G. Meylan, G. Morgante, G. Polenta, G. Riccio, G. Seidel, G. Sirri, G. Testera, G. Verdoes Kleijn, G. Verza, G. Zamorani, H. Degaudenzi, H. Dole, H. Hildebrandt, H. Hoekstra, H. I. Teplitz, H. Kurki-Suonio, H. M. Courtois, I. Lloro, I. Risso, I. T. Andika, I. Tereno, I. Tutusaus, J. A. Escartin Vigo, J. Carretero, J.-C. Cuillandre, J.-C. Salvignol, J. Garcia-Bellido, J. Gracia-Carpio, J. Hjorth, J. Hoar, J. J. Diaz, J. J. E. Kajava, J. Kim, J. Le Graet, J. Lesgourgues, J. Macias-Perez, J. Martin Fleitas, J. M. Diego M. Y. Elkhashab, J. Rhodes, J. Skottfelt, J. Steinwagner, J. Valiviita, J. Weller, K. Ganga, K. George, K. Jahnke, K. Kiiveri, K. Kuijken, K. Naidoo, K. Paterson, K. Pedersen, K. Tanidis, L. A. Popa, L. Blot, L. Conversi, L. Courcould Mifsud, L. C. Smith, L. Gabarra W. G. Hartley, L. Legrand, L. Leuzzi, L. Maurin, L. Miller, L. Moscardini, L. Patrizii, L. Stanco, L. Valenziano, M. Archidiacono, M. Baldi, M. Ballardini, M. Bethermin, M. Bolzonella, M. Bonici, M. Brescia, M. Castellano, M. Cropper, M. Fabricius M. Farina, M. Frailis, M. Fumana, M. Gottero, M. Guidi, M. Jhabvala, M. Kunz, M. L. Brown, M. Lembo, M. Magliocchetti, M. Martinelli, M. Meneghetti, M. Miluzio, M. Moresco, M. Poncet, M. Pontinen, M. Radovich, M. Roncarelli, M. Sahlen, M. Schirmer, M. Sereno, M. Tenti, M. Tucci, M. Viel, M. Wiesmann, N. Auricchio, N. A. Walton, N. Fourmanoit, N. Martinet, N. Mauri, N. Tessore, O. Cucciati, O. Mansutti, O. Marggraf, P. B. Lilje, P. Monaco, P. Schneider, P. Tallada-Cresp, P. Vielzeuf, R. Bender, R. B. Metcalf, R. Cabanac, R. C. Nichol, R. Farinelli, R. J. Massey, R. Kohley, R. Laureijs, R. Maoli, R. Nakajima, R. Rebolo, R. Saglia, R. Teyssier, R. Toledo-Moreo, S. Andreon, S. Anselmi, S. Bardelli, S. Borgani, S. Bruton, S. Camera, S. Cavuoti, S. Conseil, S. Davini, S. Di Domizio, S. Dusini, S. Escoffier, S. Ferriol, S. Galeotta, S. J. Liu, S. Kermiche, S. Kruk, S. Ligori, S. Matthew, S. Mei, S.-M. Niemi C. Padilla, S. Mottini, S. Nadathur, S. Nesseris, S. Paltani, S. Pires, S. Quai, S. Sacquegna, S. Serrano, S. Toft, S. Tosi, S. V. H. Haugan, T. Castro, T. Gasparetto, T. I. Liaudat, T. Schrabback, T. Vassallo, V. Capobianco, V. Kansal, V. Lindholm, V. Mareschi, V. Pettorino, V. Scottez, W. Holmes, W. J. Percival, X. Dupac, Y. Akrami, Y. Copin, Y. Fang, Y. Kang, Y. Mellier, Y. Wang, Z. Sakr.

Figure 1
Figure 1. Figure 1: Definition of Solar aspect angle (SAA) and α angle (AA) with re￾spect to the spacecraft axes. SAA is the angle between the Sun direction vector and the Z axis of the spacecraft, while AA is the angle between the X axis and the projection of the Sun direction on the X-Y plane. The spacecraft is a schematic presentation to illustrate the configura￾tion without the protective multi-layer insulation. Thermal d… view at source ↗
Figure 2
Figure 2. Figure 2: VIS image plane field points. The Korsch telescope design pro￾vides an off-axis exit pupil. See [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: Baseplate average temperature versus STOP case number, see Sect. 4.1.1 for the sequencing description. Upper panel (a): full-length micro-propulsion system (MPS) boom, the topside can be illuminated by the Sun. Lower panel (b): half-length MPS boom, the topside can￾not be illuminated by the Sun. nodes. Consequently, the calculated deformations included the large cool-down component caused by the temperatur… view at source ↗
Figure 4
Figure 4. Figure 4: Temperature transient analysis. Upper panel (a): baseplate tem￾perature evolution over 96 hours. Lower panel (b): the temperature difference DT11000 derived from the temperature evolution in (a); the dashed curve shows a match of DT11000 with two exponential terms with c1 = 168 mK and c2 = 315 mK. change by 5% per K temperature variation in TBP, the derived variations would violate the IQ requirement for e… view at source ↗
Figure 6
Figure 6. Figure 6: 11 000 s variation of Zernike coefficients z4 to z9. Dashed lines: telescope only; solid lines: telescope and mirrors. 4.3.1. System steady-state IQ performance The IQ metrics were calculated for the 96 cases defined in Ta￾ble 2, both without and with the inclusion of the predicted defor￾mation of the mirrors.We find that the influence of the telescope optical train deformation is very small and that the m… view at source ↗
Figure 7
Figure 7. Figure 7: Time histories of spacecraft attitude and key thermal performance parameters obtained from spacecraft telemetry during the Euclid perfor￾mance verification phase in the period from 2023-10-01 00:00:00 UTC until 2023-11-26 00:00:00 UTC. Upper panel: the variations in SAA and AA. Dedicated rotations of the SAA (red line) and AA (blue line) were performed to verify the thermal response of the system. Upper mi… view at source ↗
Figure 8
Figure 8. Figure 8: Time histories of spacecraft attitude and thermal performance parameters obtained from spacecraft telemetry during the period from 2024- 09-01 00:00:00 UTC until 2025-01-01 00:00:00 UTC. Upper panel: the variations in SAA and AA. Upper middle panel: the history of the cadence (in cycles per hour) of the NISP GFW (red line), and the VIS RSU (blue line). Lower middle panel: the history of the VIS radiator te… view at source ↗
Figure 9
Figure 9. Figure 9: Visualisation of the relative variation of R 2 and e over the VIS focal plane, +X to the right and +Y going up. The values are normalised by the average of the 9 values, with average R 2 of 0.0479 and 0.0199 arcsec2 and average e of 0.025 and 0.021, for the STOP and in-orbit data, respectively. The difference between the values are due to the us￾age of a different Gaussian weighting in the calculation of t… view at source ↗
Figure 10
Figure 10. Figure 10: Time history of the observed IQ metrics for the period shown in [PITH_FULL_IMAGE:figures/full_fig_p011_10.png] view at source ↗

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Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

  • IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    a detailed finite-element mathematical model was set up and a standard set of test cases, both steady-state and transient, was defined, comprising combinations of worst-case boundary conditions... The STOP analysis addressed the interaction of all spacecraft components in transmitting temperature-induced loads that lead to optical train deformation.

  • IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear
    ?
    unclear

    Relation between the paper passage and the cited Recognition theorem.

    The results of the prelaunch analysis demonstrated that temperature-induced optical perturbations will be well below the allowable limits for all permitted observing conditions.

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The paper's claim is directly supported by a theorem in the formal canon.
supports
The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
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The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
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The paper appears to rely on the theorem as machinery.
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Forward citations

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Reference graph

Works this paper leans on

4 extracted references · 4 canonical work pages · cited by 3 Pith papers

  1. [1]

    E. Pancini

    Amara, A. & Refregier, A. 2008, MNRAS, 391, 228 Bougoin, M., Castel, D., & Levallois, F. 2012, in SPIE Conference Series, V ol. 10564, International Conference on Space Optics (ICSO) 2012, ed. B. Cugny, E. Armadillo, & N. Karafolas, 1056410–1 Bougoin, M., Mallet, F., Levenac, J., et al. 2018, in SPIE Conference Series, V ol. 11180, International Conferenc...

  2. [2]

    The tests were adapted for the correlation with the mathematical models

    The STM underwent more extreme and risky thermal and structural testing conditions, which could not be applied to the flight model. The tests were adapted for the correlation with the mathematical models. The PLM flight model was assembled in Airbus Defence and Space (ADS) in Toulouse and tested in the Centre Spatial de Liège (CSL) 2021, where it was plac...

  3. [3]

    These milestones are accompanied by reviews where the requirements, implemented design, and expected performance are evaluated by independent panel members. After the launch ofEuclidon 1 July 2023, the plan was to de- vote the first month to the spacecraft commissioning phase fol- lowed by a 2-month performance verification phase before the start of the s...

  4. [4]

    In our analysis, we removed VIS frames that were affected by strong solar flares using a merit function derived frome 1,e 2, andR 2 covariances

    The IQ values we derived were still sensitive to envi- ronmental changes, so we can use them as diagnostic for changes in IQ. In our analysis, we removed VIS frames that were affected by strong solar flares using a merit function derived frome 1,e 2, andR 2 covariances. However, we found that some areas in the FPA are more affected by solar X-rays than ot...

This paper was first reviewed by grok-4.3 on May 17, 2026.