Planet Formation at Cosmic Dawn

Authors

  • Lewis Decambre University of Portsmouth, Faculty of Technology, School of Mathematics and Physics, Portsmouth, PO1 3QL, United Kingdom

DOI:

https://doi.org/10.59973/emjsr.403

Keywords:

Planet Formation, Protoplanetary Disks, Cosmic Dawn

Abstract

The first opportunities for rocky planet formation in the early Universe depended on the production and local concentration of heavy elements. Although the mean cosmic metallicity remained low for several gigayears after the Big Bang, local enrichment by Population III supernovae may have produced metal-rich regions capable of forming water-rich protoplanetary disks at Cosmic Dawn. Recent models suggest that such disks can form planetesimals, but their subsequent dynamical evolution remains uncertain. This project explores whether a planetesimal population in a locally enriched Cosmic Dawn disk can survive, migrate, collide, and grow. A coupled numerical framework was developed using AMUSE to simulate the resolved
N-body dynamics of planetesimals and DustPy to provide a viscously evolving one-dimensional gas-and-dust disk background. Three simulations were compared: an N-body-only control run, a run including aerodynamic gas drag and collisions, and a run including gas drag, collisions, and parametrised pebble accretion. The N-body-only control simulation remained dynamically stable over 26 kyr, with no collisions, ejections, or significant radial evolution. When gas drag was included, the disk underwent measurable inward migration and 42 planetesimal mergers over 64 kyr. The strongest growth occurred when pebble accretion was added: within 25 kyr, the number of resolved planetesimals decreased to 636, 348 mergers occurred, and the largest body grew to 2.13 × 10−2 M⊕. These results suggest that gas drag and pebble accretion can substantially accelerate early planetesimal growth in compact, locally enriched disks. The simulations do not fully model terrestrial planet formation, and the results depend on simplified collision physics, a parametrised pebble reservoir, limited particle numbers, and short integration timescales. Nonetheless, they support the conclusion that early protoplanet formation in locally enriched Cosmic Dawn disks is plausible.

References

[1] Williams, Jonathan P., and Cieza, Lucas A.. Protoplanetary Disks and Their Evolution. Annual Review of Astronomy and Astro-

physics 49 (2011): 67–117. DOI: https://doi.org/10.1146/annurev-astro-081710-102548

[2] Armitage, Philip J.. Dynamics of Protoplanetary Disks. Annual Review of Astronomy and Astrophysics 49 (2011): 195–236. DOI: https://doi.org/10.1146/annurev-astro-081710-102521

[3] Safronov, V. S.. Evolution of the Protoplanetary Cloud and Formation of the Earth and the Planets. Israel Program for Scientific Translations, Jerusalem, 1972.

[4] Bitsch, Bertram, Johansen, Anders, Lambrechts, Michiel, and Morbidelli, Alessandro. The Structure of Protoplanetary Discs Around Evolving Young Stars. Astronomy & Astrophysics 575 (2015): A28. DOI: https://doi.org/10.1051/0004-6361/201424964

[5] Birnstiel, Tilman, Fang, Min, and Johansen, Anders. Dust Evolution and the Formation of Planetesimals. Space Science Reviews 205 (2016): 41–75. DOI: https://doi.org/10.1007/s11214-016-0256-1

[6] Blum, Jürgen. Dust Evolution in Protoplanetary Discs and the Formation of Planetesimals: What Have We Learned from Laboratory Experiments?. Space Science Reviews 214 (2018): 52. DOI: https://doi.org/10.1007/s11214-018-0486-5

[7] Testi, L., Birnstiel, T., Ricci, L., Andrews, S., Blum, J., Carpenter, J., Dominik, C., Isella, A., Natta, A., Williams, J. P., and Wilner, D. J. Dust Evolution in Protoplanetary Disks. In: Protostars and Planets VI, edited by Beuther, H., Klessen, R. S., Dullemond, C. P., and Henning, T., University of Arizona Press, Tucson, pp. 339–361 (2014). DOI: https://doi.org/10.2458/azu_uapress_9780816531240-ch015

[8] Omukai, Kazuyuki, Tsuribe, Toru, Schneider, Raffaella, and Ferrara, Andrea. Thermal and Fragmentation Properties of Star-Forming Clouds in Low-Metallicity Environments. The Astrophysical Journal 626 (2005): 627–643. DOI: https://doi.org/10.1086/429955

[9] Glover, Simon C. O., and Clark, Paul C.. Is Molecular Gas Necessary for Star Formation?. Monthly Notices of the Royal Astronomical Society 421 (2012): 9–19. DOI: https://doi.org/10.1111/j.1365-2966.2011.19648.x

[10] Johnson, Jarrett L., and Li, Hui. The First Planets: The Critical Metallicity for Planet Formation. The Astrophysical Journal 751 DOI: https://doi.org/10.1088/0004-637X/751/2/81

(2012): 81.

[11] Behroozi, Peter S., and Peeples, Molly S.. On the History and Future of Cosmic Planet Formation. Monthly Notices of the Royal Astronomical Society 454 (2015): 1811–1817. DOI: https://doi.org/10.1093/mnras/stv1817

[12] Zackrisson, Erik, Calissendorff, Per, González, Jorge, and Benson, Andrew. Terrestrial Planets Across Space and Time. The Astro-physical Journal 833 (2016): 214. DOI: https://doi.org/10.3847/1538-4357/833/2/214

[13] Yasui, Chikako, Kobayashi, Naoto, Tokunaga, Alan T., Saito, Masao, and Tokoku, Chihiro. The Lifetime of Protoplanetary Disks in a Low-Metallicity Environment. The Astrophysical Journal 705 (2009): 54–63. DOI: https://doi.org/10.1088/0004-637X/705/1/54

[14] Yasui, Chikako, Kobayashi, Naoto, Tokunaga, Alan T., Saito, Masao, and Tokoku, Chihiro. Short Lifetime of Protoplanetary Disks in Low-Metallicity Environments. The Astrophysical Journal 723 (2010): 113–116. DOI: https://doi.org/10.1088/2041-8205/723/1/L113

[15] Ritter, Jeremy S., Sluder, Alan, Safranek-Shrader, Chalence, Milosavljevi´c, Miloš, and Bromm, Volker. Metal Transport and Chemical Heterogeneity in Early Star-Forming Systems. Monthly Notices of the Royal Astronomical Society 451 (2015): 1190–1209. DOI: https://doi.org/10.1093/mnras/stv982

[16] Chiaki, Gen, and Wise, John H.. Seeding the Second Star: Enrichment from Population III, Dust Evolution, and Cloud Collapse. Monthly Notices of the Royal Astronomical Society 482 (2019): 3933–3949. DOI: https://doi.org/10.1093/mnras/sty2984

[17] Klessen, Ralf S., and Glover, Simon C. O.. The First Stars: Formation, Properties, and Impact. Annual Review of Astronomy and Astrophysics 61 (2023): 65–130. DOI: https://doi.org/10.1146/annurev-astro-071221-053453

[18] Heger, Alexander, and Woosley, S. E.. The Nucleosynthetic Signature of Population III. The Astrophysical Journal 567 (2002): DOI: https://doi.org/10.1086/338487

532–543.

[19] Woosley, S. E., Heger, Alexander, and Weaver, Thomas A.. The Evolution and Explosion of Massive Stars. Reviews of Modern

Physics 74 (2002): 1015–1071. DOI: https://doi.org/10.1103/RevModPhys.74.1015

[20] Whalen, Daniel, van Veelen, Bram, O’Shea, Brian W., and Norman, Michael L.. Population III Supernovae and the Assembly of the First Galaxies. In: IAU Symposium 255: Low-Metallicity Star Formation: From the First Stars to Dwarf Galaxies, vol. 255, pp. 116–120 (2008). DOI: https://doi.org/10.1017/S1743921308024678

[21] Joggerst, C. C., and Whalen, D. J.. The Early Evolution of Primordial Pair-Instability Supernovae. The Astrophysical Journal 728 (2011): 129. DOI: https://doi.org/10.1088/0004-637X/728/2/129

[22] Whalen, D. J., Latif, M. A., and Jessop, C.. Abundant Water from Primordial Supernovae at Cosmic Dawn. Nature Astronomy 9 (2025): 741–746. DOI: https://doi.org/10.1038/s41550-025-02479-w

[23] Vorobyov, E. I., Whalen, D. J., Muhammad, L. A., Skliarevskii, A., Jessop, C., Matsukoba, R., Hosokawa, T., and Nandal, D..

Planetesimals Formed in H2O-Rich Disks at Cosmic Dawn. 2025. Unpublished letter.

[24] Portegies Zwart, S., and McMillan, S. L. W.. Astrophysical Recipes: The Art of AMUSE. AAS-IOP Astronomy, 2018. DOI: https://doi.org/10.1088/978-0-7503-1320-9

[25] Stammler, Sebastian M., and Birnstiel, Tilman. DustPy: A Python Package for Dust Evolution in Protoplanetary Disks. The

Astrophysical Journal 935 (2022): 35. DOI: https://doi.org/10.3847/1538-4357/ac7d58

[26] Lynden-Bell, D., and Pringle, J. E.. The Evolution of Viscous Discs and the Origin of the Nebular Variables. Monthly Notices of the Royal Astronomical Society 168 (1974): 603–637. DOI: https://doi.org/10.1093/mnras/168.3.603

[27] Pelupessy, F. I., van Elteren, A., de Vries, N., McMillan, S. L. W., Drost, N., and Portegies Zwart, S. F.. The Astrophysical Multipurpose Software Environment. Astronomy & Astrophysics 557 (2013): A84. DOI: https://doi.org/10.1051/0004-6361/201321252

[28] Wisdom, Jack, and Holman, Matthew. Symplectic Maps for the N-Body Problem. The Astronomical Journal 102 (1991): 1528–1538. DOI: https://doi.org/10.1086/115978

[29] Levison, Harold F., and Duncan, Martin J.. Symplectically Integrating Close Encounters with the Sun. The Astronomical Journal 120 (2000): 2117–2123. DOI: https://doi.org/10.1086/301553

[30] McMillan, S. L. W., Portegies Zwart, S., van Elteren, A., and Whitehead, A.. Simulations of Dense Stellar Systems with the AMUSE Software Toolkit. In: Advances in Computational Astrophysics: Methods, Tools, and Outcomes, edited by Capuzzo-Dolcetta, R., Limongi, M., and Tornambè, A., Astronomical Society of the Pacific, vol. 453, pp. 129 (2012).

[31] Shakura, N. I., and Sunyaev, R. A.. Black Holes in Binary Systems: Observational Appearance. Astronomy & Astrophysics 24 (1973): 337–355. DOI: https://doi.org/10.1007/978-94-010-2585-0_13

[32] Hartmann, Lee, Calvet, Nuria, Gullbring, Erik, and D’Alessio, Paola. Accretion and the Evolution of T Tauri Disks. The Astrophysical Journal 495 (1998): 385–400. DOI: https://doi.org/10.1086/305277

[33] Andrews, Sean M., Wilner, David J., Hughes, A. Meredith, Qi, Chunhua, and Dullemond, Cornelis P.. Protoplanetary Disk Structures in Ophiuchus. II. Extension to Fainter Sources. The Astrophysical Journal 700 (2009): 1502–1523. DOI: https://doi.org/10.1088/0004-637X/700/2/1502

[34] Adachi, I., Hayashi, C., and Nakazawa, K.. The Gas Drag Effect on the Elliptical Motion of a Solid Body in the Primordial Solar

Nebula. Progress of Theoretical Physics 56 (1976): 1756–1771. DOI: https://doi.org/10.1143/PTP.56.1756

[35] Weidenschilling, S. J.. Aerodynamics of Solid Bodies in the Solar Nebula. Monthly Notices of the Royal Astronomical Society 180 (1977): 57–70. DOI: https://doi.org/10.1093/mnras/180.2.57

[36] Nakagawa, Y., Sekiya, M., and Hayashi, C.. Settling and Growth of Dust Particles in a Laminar Phase of a Low-Mass Solar Nebula. Icarus 67 (1986): 375–390. DOI: https://doi.org/10.1016/0019-1035(86)90121-1

[37] Takeuchi, Taku, and Lin, D. N. C.. Radial Flow of Dust Particles in Accretion Disks. The Astrophysical Journal 581 (2002): 1344–1355. DOI: https://doi.org/10.1086/344437

[38] Lissauer, Jack J.. Planet Formation. Annual Review of Astronomy and Astrophysics 31 (1993): 129–174. DOI: https://doi.org/10.1146/annurev.astro.31.1.129

[39] Lau, Tommy Chi Ho, Dr ˛a ˙zkowska, Joanna, Stammler, Sebastian M., Birnstiel, Tilman, and Dullemond, Cornelis P.. Rapid Formation of Massive Planetary Cores in a Pressure Bump. Astronomy & Astrophysics 668 (2022): A170. DOI: https://doi.org/10.1051/0004-6361/202244864

[40] Ormel, C. W., and Klahr, H. H.. The Effect of Gas Drag on the Growth of Protoplanets: Analytical Expressions for the Accretion of Small Bodies in Laminar Disks. Astronomy & Astrophysics 520 (2010): A43. DOI: https://doi.org/10.1051/0004-6361/201014903

[41] Lambrechts, Michiel, and Johansen, Anders. Rapid Growth of Gas-Giant Cores by Pebble Accretion. Astronomy & Astrophysics 544 (2012): A32. DOI: https://doi.org/10.1051/0004-6361/201219127

[42] Lambrechts, Michiel, and Johansen, Anders. Forming the Cores of Giant Planets from the Radial Pebble Flux in Protoplanetary Discs. Astronomy & Astrophysics 572 (2014): A107. DOI: https://doi.org/10.1051/0004-6361/201424343

[43] Johansen, Anders, and Lambrechts, Michiel. Forming Planets via Pebble Accretion. Annual Review of Earth and Planetary Sciences 45 (2017): 359–387. DOI: https://doi.org/10.1146/annurev-earth-063016-020226

[44] Schleicher, Dominik, Reinoso, Bastian, and Klessen, Ralf. Formation of Massive Black Hole Seeds via Collisions and Accretion. In: European Astronomical Society Annual Meeting, Krakow, Poland (2023). Session S12: Breaking down the AGN frontiers: light and sound from early black holes, contributed talk, id. 274.

[45] Strang, Gilbert. On the Construction and Comparison of Difference Schemes. SIAM Journal on Numerical Analysis 5 (1968): 506–517. DOI: https://doi.org/10.1137/0705041

[46] Fujii, M. S., Iwasawa, M., Funato, Y., and Makino, J.. BRIDGE: A Direct-Tree Hybrid N-Body Algorithm for Fully Self-Consistent

Simulations of Star Clusters and Their Parent Galaxies. Publications of the Astronomical Society of Japan 59 (2007): 1095–1106. DOI: https://doi.org/10.1093/pasj/59.6.1095

[47] Portegies Zwart, S., Pelupessy, I., Martinez-Barbosa, C., van Elteren, A., and McMillan, S. L. W.. Non-Intrusive Hierarchical Coupling Strategies for Multi-Scale Simulations in Gravitational Dynamics. Computational Astrophysics and Cosmology 7 (2020): 2. DOI: https://doi.org/10.1016/j.cnsns.2020.105240

[48] Wetherill, G. W., and Stewart, G. R.. Accumulation of a Swarm of Small Planetesimals. Icarus 77 (1989): 330–357. DOI: https://doi.org/10.1016/0019-1035(89)90093-6

[49] Kokubo, Eiichiro, and Ida, Shigeru. On Runaway Growth of Planetesimals. Icarus 123 (1996): 180–191. DOI: https://doi.org/10.1006/icar.1996.0148

[50] Kokubo, Eiichiro, and Ida, Shigeru. Formation of Protoplanets from Planetesimals in the Solar Nebula. Icarus 143 (2000): 15–27. DOI: https://doi.org/10.1006/icar.1999.6237

[51] Chambers, J. E.. Making More Terrestrial Planets. Icarus 152 (2001): 205–224. DOI: https://doi.org/10.1006/icar.2001.6639

[52] Leinhardt, Z. M., and Stewart, S. T.. Collisions Between Gravity-Dominated Bodies. I. Outcome Regimes and Scaling Laws. The Astrophysical Journal 745 (2012): 79 DOI: https://doi.org/10.1088/0004-637X/745/1/79

Downloads

Published

2026-09-10

How to Cite

Decambre, L. (2026). Planet Formation at Cosmic Dawn. Emerging Minds Journal for Student Research, 4, P121-P142. https://doi.org/10.59973/emjsr.403

Issue

Section

Physics