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Fluid dynamics of a liquid mirror space telescope
Phys. Rev. Fluids 11, 064003 – Published 16 June, 2026
DOI: https://doi.org/10.1103/dpk3-4256
Abstract
Large aperture telescopes are pivotal for exploring the universe, yet even with state-of-the-art manufacturing and launch technology, their size is limited to several meters. As we aim to build larger telescopes—extending tens of meters—designs in which the main mirror is based on liquid deployment in space are emerging as promising candidates. However, alongside their enormous potential advantages, liquid-based surfaces present new challenges in material science, mechanics, and fluid dynamics. One of the fundamental questions is whether it is possible for such surfaces to maintain their precise optical shape over long durations, and in particular under the forces induced by the telescope's accelerations. In this paper, we present a model and a closed-form analytical solution for the non-self-adjoint problem of the dynamics of a thin liquid film pinned within a finite circular domain. We use the 50-m Fluidic Telescope concept as the case study and examine the liquid dynamics of the telescope under both slewing actuation and relaxation regimes, elucidating the role of geometrical parameters and liquid properties. The solutions reveal a maneuvering “budget” wherein the degradation of the mirror surface is directly linked to the choice of maneuvers and their sequence. By simulating 10 years of typical operation, we show that, while the maximal deformation might reach several microns, the spatial distribution and propagation rate of the deformation allow the telescope to maintain its optical functionality for years, with at least a substantial portion of the aperture remaining suitable for astronomical observations. The model provides valuable insights and guidelines into the performance of liquid-film space telescopes, marking a crucial step toward realizing the potential of this innovative concept.
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References (41)
- J. C. Tarter, The search for extraterrestrial intelligence (SETI), Annu. Rev. Astron. Astrophys. 39, 511 (2001).
- D. A. Vakoch and M. F. Dowd, eds., The Drake Equation: Estimating the Prevalence of Extraterrestrial Life through the Ages, Cambridge Astrobiology Vol. 8 (Cambridge University Press, Cambridge, UK, 2015).
- D. J. D. Marais et al., Remote sensing of planetary properties and biosignatures on extrasolar terrestrial planets, Astrobiology 2, 153 (2002).
- S. Seager, The future of spectroscopic life detection on exoplanets, Proc. Natl. Acad. Sci. USA 111, 12634 (2014).
- O. Ganel, R. Rivera, J. Falker, N. Siegler, B. Crill, and M. R. Perez, NASA strategic astrophysics technology investments: A decade of benefits, outlook informed by the 2020 decadal survey, in Advances in Optical and Mechanical Technologies for Telescopes and Instrumentation V, Proceedings of SPIE Vol. 12188 (SPIE, Bellingham, WA, 2022), pp. 57.
- Q. Gong et al., Optical design of the Extreme Coronagraph for Living Planetary Systems instrument for the LUVOIR mission study, J. Astron. Telesc. Instrum. Syst. 5, 025002 (2019).
- Committee for a Decadal Survey on Astronomy and Astrophysics 2020 (Astro2020), Space Studies Board, Board on Physics and Astronomy, Division on Engineering and Physical Sciences, National Academies of Sciences, Engineering, and Medicine, Pathways to Discovery in Astronomy and Astrophysics for the 2020s (National Academies Press, Washington, DC, 2023).
- J. P. Gardner et al., The James Webb Space Telescope, Space Sci. Rev. 123, 485 (2006).
- C. J. Burrows, J. A. Holtzman, S. M. Faber, P. Y. Bely, H. Hasan, C. R. Lynds, and D. Schroeder, The imaging performance of the Hubble Space Telescope, Astrophys. J. 369, L21 (1991).
- L. Team, The LUVOIR mission concept study final report, Technical Report (NASA Goddard Space Flight Center, 2019) nASA/GSFC.
- K. Colon, R. Massey, and E. Newton, Ariane 5 fairing preparations for James Webb Space Telescope, Technical Report NASA TRS 20230002781 (NASA Technical Reports Server, Washington, DC, 2023).
- M. R. Bolcar et al., The Large UV/Optical/Infrared Surveyor (LUVOIR): Decadal mission concept design update, in UV/Optical/IR Space Telescopes and Instruments: Innovative Technologies and Concepts VIII, Proc. SPIE Vol. 10398 (SPIE, Bellingham, WA, 2017), p. 1039809.
- M. Nayak, D. Brousseau, A. Childers, and K. Iyer, Zenith: Darpa's liquid mirror telescope program, in Advances in Optical and Mechanical Technologies for Telescopes and Instrumentation VI, Proc. SPIE Vol. 13100 (SPIE, Bellingham, WA, 2024), pp. 994.
- O. Luria et al., Shaping a gallium alloy and an ionic liquid into spherical mirrors for future liquid-based telescopes—experimental setup and demonstration in parabolic flights, J. Astron. Telesc. Instrum. Syst. 10, 044010 (2024).
- N. C. Lima, K. Mishra, and F. Mugele, Aberration control in adaptive optics: A numerical study of arbitrarily deformable liquid lenses, Opt. Express 25, 6700 (2017).
- H. C. King, The History of the Telescope (Courier Corporation, Glouster, MA, 2003).
- D. Olsson-Steel, A note on the history of the liquid mirror telescope, J. R. Astron. Soc. Can. 80, 128 (1986).
- E. F. Borra, Liquid mirror telescopes—Present and future, Publ. Astron. Soc. Pac. 99, 1229 (1987).
- E. F. Borra, Liquid mirrors, Sci. Am. 270, 76 (1994).
- M. Hayez, Bulletins de l'Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique (Imprimeur de l'Académie Royale de Belgique, Brussels, 1898).
- M. Nayak, S. Basu, and K. Iyer, Zenith: A DARPA liquid mirror technology development program, in Photonic Instrumentation Engineering XI, Proc. SPIE Vol. 12893 (SPIE, Bellingham, WA, 2024), pp. 23–29.
- N. Rowlands et al., Development of a self-assembling ferrofluidic ionic liquid mirror, in Advances in Optical and Mechanical Technologies for Telescopes and Instrumentation VI, Proc. SPIE Vol. 13100 (SPIE, Bellingham, 2024), p. 131007H.
- NASA, What is the fluidic telescope? (2023), available at https://www.nasa.gov/science-research/astrophysics/what-is-the-fluidic-telescope/.
- L. Hall, Fluidic telescope (FLUTE): Enabling the next generation of large space observatories (2023), available at https://www.nasa.gov/general/fluidic-telescope-flute-enabling-the-next-generation-of-large-space-observatories/.
- NASA, NIAC 2023 phase I and phase II selections (2023), available at https://www.nasa.gov/general/niac-2023-phase-i-and-phase-ii-selections/.
- V. Frumkin and M. Bercovici, Fluidic shaping of optical components, Flow 1, E2 (2021).
- M. Elgarisi, V. Frumkin, O. Luria, and M. Bercovici, Fabrication of freeform optical components by fluidic shaping, Optica 8, 1501 (2021).
- K. Banerjee, P. Rajaeipour, Ç. Ataman, and H. Zappe, Optofluidic adaptive optics, Appl. Opt. 57, 6338 (2018).
- M. Sohmen, J. D. Muñoz Bolaños, P. Rajaeipour, M. Ritsch-Marte, Ç. Ataman, and A. Jesacher, Optofluidic adaptive optics in multi photon microscopy, Biomed. Opt. Express 14, 1562 (2023).
- A. Dorn, H. Zappe, and Ç. Ataman, Conjugate adaptive optics extension for commercial microscopes, Adv. Photon. Nexus 3, 056018 (2024).
- P. D. Howell, Surface-tension-driven flow on a moving curved surface, J. Eng. Math. 45, 283 (2003).
- L. G. Leal, Advanced Transport Phenomena: Fluid Mechanics and Convective Transport Processes (Cambridge University Press, Cambridge, UK, 2007).
- A. Oron, S. H. Davis, and S. G. Bankoff, Long-scale evolution of thin liquid films, Rev. Mod. Phys. 69, 931 (1997).
- R. V. Craster and O. K. Matar, Dynamics and stability of thin liquid films, Rev. Mod. Phys. 81, 1131 (2009).
- I. Gabay, V. Bacheva, D. Ilssar, M. Bercovici, A. Ramos, and A. Gat, Dynamics of fixed-volume pinned films—dealing with a non‐self‐adjoint thin‐film problem, J. Fluid Mech. 969, A17 (2023).
- E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (Tata McGraw-Hill Education, New York, 1955).
- I. Gabay, F. Paratore, E. Boyko, A. Ramos, A. Gat, and M. Bercovici, Shaping liquid films by dielectrophoresis, Flow 1, E13 (2021).
- Z. Zheng, M. A. Fontelos, S. Shin, M. C. Dallaston, D. Tseluiko, S. Kalliadasis, and H. A. Stone, Healing capillary films, J. Fluid Mech. 838, 404 (2018).
- Space Telescope Science Institute, Observing schedules (2023), available at https://www.stsci.edu/home/jwst/science-execution/observing-schedules.
- R. Eshel, V. Frumkin, M. Nice, O. Luria, B. Ferdman, N. Opatovski, K. Gommed, M. Shusteff, Y. Shechtman, and M. Bercovici, Programmable thermocapillary shaping of thin liquid films, Flow 2, E27 (2022).
- I. Gabay, O. Luria, E. Balaban, A. D. Gat, and M. Bercovici, MATLAB code for “Fluid dynamics of a liquid mirror space telescope” (2026), available at https://github.com/IsraelGabay1/FLUTE-liquid-mirror-dynamics.