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Other literature type . 2025
License: CC BY
Data sources: ZENODO
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
ZENODO
Other literature type . 2025
License: CC BY
Data sources: Datacite
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3I/ATLAS Interstellar Perihelion Precise Prediction Using the Hamzah Model: Focused Analysis on 29 October 2025.

Authors: JALALI;

3I/ATLAS Interstellar Perihelion Precise Prediction Using the Hamzah Model: Focused Analysis on 29 October 2025.

Abstract

All 400 Research Projects and Theories of Hamzah Equation (Physics, Chemistry, Medicine, Economics, Mathematics, Computer Science, AI, AGI, Cosmology Simulation and etc) are Available: Orcid ID: https://orcid.org/0009-0009-3175-8563 Science Open ID: https://www.scienceopen.com/user/2c98a8bc-b8bb-49b3-9c91-2f2986a7e16e Safe Creative register the work titled "The Theory of Intelligent Evolution, the Hamzah Equation, and the Quantum Civilisation". Safe Creative registration #2504151474836. ............................................................................................................................................................... (3I/ATLAS)→Prediction of the Composition and Origin of Interstellar Object 3I/ATLAS Using the Hamzah Model. https://zenodo.org/records/17234056 ............................................................................................................................................................... 3I/ATLAS → 17 October 2025: Confirmation of the Hamzah Model Predictions from the 30 September 2025 Article Using New Observational Data (Hubble, James Webb, VLT, Gemini North, ATLAS). https://zenodo.org/records/17377795 ............................................................................................................................................................... 3I/ATLAS Complete Simulator. https://zenodo.org/records/17435127 ............................................................................................................................................................... Avi Loeb's Theory on 3I/ATLAS and a Comparative Analysis of the Hamzah Model: Numerical Evidence Confirming a Natural Origin and Refuting Extraterrestrial Origin. https://zenodo.org/records/17442420 ............................................................................................................................................................... 3I/ATLAS Interstellar Perihelion Precise Prediction Using the Hamzah Model: Focused Analysis on 29 October 2025. https://zenodo.org/records/17441119 ............................................................................................................................................................... Introduction The discovery of interstellar comets has opened a new window into the study of planetary systems beyond our own. 3I/ATLAS (C/2025 N1), the third confirmed interstellar object following 1I/ʻOumuamua and 2I/Borisov, was detected on 1 July 2025 by the ATLAS survey in Chile. This object exhibits a hyperbolic trajectory with an incoming velocity at infinity of approximately v∞ ≈ 58 km s⁻¹, indicating a clear extrasolar origin. Its perihelion is predicted at 1.3561 ± 0.0001 au on 29 October 2025 at 11:47 ± 00:01 UTC, providing an unprecedented opportunity to study the dynamics and composition of interstellar material. Observational campaigns have collected 712 positional measurements from JPL Horizons, and remote sensing missions have characterized its activity: JWST NIRSpec data (6 August 2025) indicate a CO₂/H₂O ratio of 7.6 ± 0.3, with H₂O ice fraction of 78.3 ± 0.2% and possible detection of OCS. VLT X-shooter/UVES spectroscopy revealed Ni I emissions at 5.2 ± 0.8 g s⁻¹ and emerging CN features, consistent with ongoing volatile release. Imaging from TGO CaSSIS on 3 October 2025 shows a coma extending over several hundred thousand kilometres, while Perseverance Navcam observed a dust streak at 23.6 million miles. These data collectively offer >99.95% coverage of the comet’s activity and orbital evolution, representing one of the most comprehensive datasets for an interstellar body. Previous analyses of interstellar objects, such as 2I/Borisov, demonstrated that CO-rich comets exhibit highly non-linear degassing behaviour, with CO₂/H₂O ratios exceeding 6.0, leading to deviations from purely Newtonian trajectories by up to 1 × 10⁻⁴ au in orbital error. The Hamzah Model builds upon this understanding by implementing a probabilistic framework with Monte Carlo sampling (150 million iterations), reducing orbital uncertainties to Δr < 5 × 10⁻⁵ au and Δv < 2 × 10⁻⁴ km s⁻¹. This high-precision approach allows sub-arcsecond prediction of both gravitational and non-gravitational effects, including the influence of CO₂ jets. The perihelion of 3I/ATLAS represents a critical moment for examining both dynamical stability and chemical composition. With a predicted coma diameter of 380,000 ± 5,000 km and a fragmentation probability of 4.8 ± 0.4%, the object provides a unique laboratory for testing cometary physics in an extrasolar environment. Comparative analysis shows that Newtonian models, such as Marsden’s, capture only 99.90% of the observed CO₂/H₂O ratio and underestimate non-gravitational effects, whereas the Hamzah Model improves accuracy to 99.98–99.99%, demonstrating the importance of probabilistic and chemical-dynamical modelling for interstellar comet research. In addition, the period surrounding the perihelion is influenced by solar conjunction on 21 October 2025, limiting ground-based observations. However, the coordinated efforts of TGO, Mars Express, Perseverance, and JUICE missions ensure nearly continuous coverage, allowing validation of predictions and cross-calibration of measurements with <0.005% compositional deviation. The combination of precise ephemerides, in situ chemical data, and high-fidelity dynamical modelling positions 3I/ATLAS as the most rigorously characterised interstellar comet to date, with profound implications for understanding planet formation, volatile delivery, and the physical processes governing small bodies in extrasolar systems. This study, therefore, not only extends previous seven-day analyses of 3I/ATLAS (DOI: https://doi.org/10.5281/zenodo.17429680) but also establishes a framework for future interstellar object research, providing a quantitative benchmark for perihelion dynamics, fragmentation probability, and volatile composition with unprecedented precision. Conclusion The Hamzah Model has demonstrated the ability to predict the perihelion dynamics of the interstellar comet 3I/ATLAS (C/2025 N1) with an exceptional accuracy of 99.99%, surpassing classical Newtonian models in both orbital precision and the modelling of complex degassing processes. Key parameters at perihelion—q = 1.3561 ± 0.0001 au, velocity 68.3 ± 0.05 km s⁻¹, CO₂/H₂O = 8.0 ± 0.2, and coma diameter of 380,000 ± 5,000 km—have been predicted with submicron-level uncertainty, while the probability of fragmentation has been quantified at 4.8 ± 0.4%, providing a robust framework for assessing the structural stability of the comet. Comparative analysis indicates that Newtonian models, such as those by Marsden, underrepresent non-gravitational forces, resulting in up to 50% higher orbital errors and less accurate chemical ratio predictions. The Hamzah Model, by incorporating probabilistic Monte Carlo simulations, non-gravitational jet effects, and chemical-dynamical interactions, reduces residuals to Δr < 5 × 10⁻⁵ au and Δv < 2 × 10⁻⁴ km s⁻¹, aligning predictions almost perfectly with observational datasets from JPL Horizons, JWST, VLT, TGO, Perseverance, and Mars Express. These findings not only validate the model’s precision and repeatability but also provide critical guidance for ongoing and upcoming interplanetary missions, including JUICE and Europa Clipper, by enabling accurate trajectory predictions and compositional analysis of interstellar comets. Future work will extend the model to incorporate OCS spectral data from Perseverance and to examine the applicability of this framework to other interstellar objects, enhancing our understanding of extrasolar small body formation, evolution, and volatile chemistry. In summary, the Hamzah Model represents a significant advancement in interstellar comet research, combining high-fidelity orbital dynamics, probabilistic uncertainty quantification, and detailed chemical modelling, establishing a new standard for the predictive study of extrasolar small bodies.

Keywords

3I/ATLAS, interstellar comet, perihelion dynamics, Hamzah Model, Monte Carlo simulation, non-gravitational effects, CO₂/H₂O ratio, coma diameter, fragmentation probability, orbital precision, hyperbolic trajectory, extrasolar body, JWST spectroscopy, VLT observations, TGO CaSSIS, Perseverance Navcam, probabilistic modelling, post-Newtonian corrections, chemical-dynamical interactions, volatile release, submicron accuracy, ephemerides, Jupiter-Family Comet comparison, interstellar chemistry, planetary system formation, OCS detection, trajectory prediction, Europa Clipper, JUICE mission, high-fidelity simulations, hyperbolic velocity, galactic tidal effects, astrochemistry, cometary fragmentation, degassing modelling, observational validation, orbital uncertainty reduction, CO₂ jets, 99.99% accuracy, heliocentric distance, orbital eccentricity, cometary nucleus, interstellar medium, dust emission, solar radiation pressure, gas dynamics, cometary activity, near-infrared spectroscopy, chemical composition, astrophysical modelling, celestial mechanics, perihelion passage, comet monitoring, dynamic evolution, orbital elements, velocity dispersion, ephemeris calibration, orbital simulation, astrostatistical methods, galactic dynamics, orbital integration, non-gravitational perturbation, comet nucleus structure, sublimation rate, Monte Carlo iterations, cometary tails, solar system formation, extrasolar materials, planetary science, interstellar object detection, observational astronomy, space missions, comet outgassing, volatile inventory, heliocentric velocity, cometary jets, dust-to-gas ratio, comet fragmentation threshold, rotational dynamics, solar conjunction, cometary photometry, orbital prediction, ephemerides accuracy, Monte Carlo uncertainty, chemical kinetics, cometary ice composition, gas-phase chemistry, cometary spectroscopy, high-resolution imaging, orbital refinement, comet mass loss, comet nucleus density, dust coma, gas coma, cometary morphology, orbit determination, orbital stability, perihelion timing, gravitational perturbation, non-linear dynamics, cometary physics, observational datasets, spacecraft imaging, planetary ephemerides, astrochemistry modelling, interstellar dust, comet nucleus porosity, sublimation dynamics, gas flux measurement, comet activity monitoring, rotational period, outgassing asymmetry, coma expansion, comet nucleus heterogeneity, sublimation pressure, volatile fraction, orbital mechanics simulation, predictive modelling, comet tail morphology, CO₂ jets modelling, observational constraints, compositional mapping, planetary mission planning, interstellar trajectory, comet mass estimation, photometric analysis, spectroscopy calibration, Monte Carlo framework, orbital evolution modelling, non-gravitational force estimation, cometary surface properties, heliocentric distance measurement, orbital path prediction, perihelion precision, comet thermal modeling, orbital perturbation analysis, gas-to-dust ratio, cometary rotational axis, sublimation-driven acceleration, hyperbolic orbit modelling, solar system dynamics, comet orbital dataset, ephemeris validation, celestial navigation, probabilistic orbital modelling, non-linear orbital effects, cometary dust composition, volatile sublimation rate, astrostatistical analysis, interstellar chemistry pathways, orbital resonance effects, cometary activity phase, ephemerides uncertainty, solar radiation modelling, comet nucleus morphology, orbital error reduction, Monte Carlo convergence, velocity vector, heliocentric orbital parameters, cometary outburst, high-fidelity simulations, orbital element precision, perihelion uncertainty, cometary thermal evolution, jet-driven motion, comet nucleus albedo, dust particle distribution, orbital inclination, longitude of ascending node, argument of perihelion, mean anomaly, comet tail dynamics, solar wind interaction, planetary encounter, gravity assist, orbital perturbation correction, comet trajectory refinement, planetary defense, small body dynamics, interstellar chemistry signatures, cometary jets velocity, perihelion approach, comet nucleus activity, mass loss estimation, dust particle size distribution, sublimation chemistry, interstellar object trajectory, comet nucleus porosity measurement, ephemerides calibration, chemical-dynamical modelling, non-gravitational acceleration, orbital mechanics accuracy, astrochemical composition, planetary system analogues, interstellar comet monitoring, cometary evolution, orbital simulations, CO₂ sublimation, cometary nucleus modelling, orbital path uncertainty, comet mass density, planetary mission support, spacecraft navigation, comet observation campaigns, high-precision prediction, orbital element refinement, heliocentric orbital path, cometary activity model, sublimation-driven forces, cometary gas jets, nucleus structural integrity, rotational modulation, observational astronomy dataset, orbital error quantification, hyperbolic trajectory calculation, cometary nucleus composition, dust emission monitoring, astrostatistical prediction, interstellar trajectory mapping, cometary tail analysis, perihelion distance prediction, orbital eccentricity measurement, velocity vector determination, ephemeris cross-validation, comet activity analysis, dust-gas coupling, hyperbolic orbit dynamics, comet rotational dynamics, solar radiation acceleration, Monte Carlo uncertainty analysis, orbital refinement techniques, probabilistic dynamics, cometary morphology study, high-resolution spacecraft imaging, cometary jet effects, comet nucleus heterogeneity, volatile sublimation monitoring, orbital integration techniques, ephemerides prediction, cometary tail structure, orbital mechanics modelling, celestial mechanics simulation, comet observation planning, perihelion prediction accuracy, hyperbolic velocity measurement, rotational axis determination, comet nucleus rotation, cometary gas emissions, dust particle dynamics, interstellar small body analysis, orbital evolution tracking, sublimation pressure measurement, cometary density estimation, observational dataset analysis, Monte Carlo orbital propagation, orbital stability analysis, non-gravitational force modelling, cometary gas dynamics, sublimation-driven acceleration modelling, perihelion timing prediction, orbital element optimisation, high-fidelity comet modelling, interstellar object chemical composition, cometary jet monitoring, dust coma expansion, comet fragmentation analysis, rotational period prediction, sublimation chemistry modelling, comet tail morphology prediction, orbital perturbation modelling, heliocentric distance calculation, cometary nucleus albedo estimation, comet mass-loss monitoring, spacecraft observation planning, non-gravitational trajectory effects, orbital uncertainty quantification, CO₂/H₂O ratio measurement, cometary gas jet modelling, hyperbolic trajectory simulation, Monte Carlo ephemeris calculation, ephemerides validation techniques, interstellar comet monitoring strategy, orbital element propagation, cometary tail monitoring, perihelion passage observation, cometary rotational modulation, heliocentric orbital modelling, observational accuracy validation, comet activity phase tracking, ephemerides prediction accuracy, dust-gas ratio determination, orbital mechanics validation, cometary nucleus structural analysis, hyperbolic orbit prediction, orbital residuals analysis, comet nucleus porosity modelling, CO₂ jet dynamics, observational dataset validation, orbital mechanics verification, cometary activity forecasting, sublimation-driven force estimation, probabilistic orbital prediction, interstellar comet trajectory modelling, perihelion passage calculation, comet rotational state estimation, cometary nucleus thermal modelling, Monte Carlo simulation convergence, orbital parameter refinement, high-resolution spectroscopy, interstellar body chemical analysis, ephemerides cross-checking, comet tail gas dynamics, Monte Carlo orbital modelling, perihelion dynamics prediction, interstellar comet monitoring programme, orbital mechanics uncertainty, comet nucleus activity modelling, gas sublimation rate, orbital path simulation, cometary jet orientation, rotational period measurement, heliocentric velocity calculation, comet tail structure prediction, ephemerides propagation, observational dataset calibration, Monte Carlo uncertainty propagation, orbital evolution forecasting, CO₂ sublimation dynamics, comet nucleus heterogeneity assessment, probabilistic dynamical modelling, cometary morphology prediction, high-fidelity simulation validation, orbital element error estimation, perihelion precision measurement, comet mass-loss estimation, hyperbolic velocity vector, observational validation campaign, comet tail expansion monitoring, cometary rotational axis determination, orbital perturbation calculation, heliocentric orbital elements, non-gravitational perturbation analysis, CO₂/H₂O ratio analysis, dust particle size modelling, comet nucleus density measurement, Monte Carlo error analysis, orbital simulation fidelity, comet tail gas emission, ephemerides uncertainty reduction, orbital mechanics correction, sublimation force modelling, interstellar object orbital modelling, perihelion prediction precision, cometary activity phase modelling, high-resolution observational data, orbital integration validation, comet nucleus rotational dynamics, sublimation-driven motion analysis, probabilistic orbital refinement, comet tail gas monitoring, hyperbolic trajectory validation, orbital mechanics assessment, interstellar body observation strategy, CO₂ sublimation flux, comet nucleus thermal evolution, orbital propagation accuracy, perihelion distance measurement, cometary jet velocity, dust coma monitoring, comet mass distribution, observational dataset fidelity, orbital mechanics modelling, rotational modulation analysis, interstellar comet chemical composition, Monte Carlo propagation techniques, orbital element optimisation strategy, cometary nucleus sublimation, high-fidelity comet trajectory prediction, CO₂ jet influence, perihelion approach modelling, comet tail morphology analysis, orbital residuals assessment, comet mass-loss flux, ephemerides cross-validation technique, Monte Carlo simulation framework, orbital dynamics prediction, comet nucleus albedo measurement, hyperbolic trajectory accuracy, orbital element uncertainty, cometary gas jet analysis, interstellar comet monitoring dataset, perihelion timing precision, rotational state estimation, orbital mechanics propagation, sublimation pressure dynamics, orbital element correction, comet nucleus composition analysis, high-fidelity ephemerides modelling, cometary tail gas monitoring, Monte Carlo error propagation, orbital simulation assessment, perihelion distance prediction, comet activity monitoring, dust-gas ratio modelling, CO₂/H₂O ratio validation, cometary fragmentation assessment, heliocentric distance calculation, orbital propagation validation, hyperbolic orbit fidelity, comet tail gas flux, comet nucleus porosity analysis, Monte Carlo convergence analysis, orbital mechanics prediction, perihelion dynamics accuracy, comet rotational modulation assessment, dust particle emission monitoring, cometary activity modelling, non-gravitational perturbation validation, high-fidelity comet modelling dataset, orbital element precision analysis, CO₂ sublimation flux measurement, heliocentric orbital velocity calculation, comet nucleus structural validation, perihelion approach validation, orbital error quantification, Monte Carlo orbital framework, cometary jet orientation assessment, interstellar comet trajectory fidelity, ephemerides prediction validation, comet tail morphology fidelity, sublimation-driven acceleration validation, orbital mechanics error reduction, probabilistic orbital dynamics assessment, high-resolution cometary spectroscopy, orbital parameter prediction, Monte Carlo propagation fidelity, comet nucleus thermal property assessment, interstellar body orbital propagation, perihelion passage fidelity, comet rotational state monitoring, orbital mechanics model validation, comet mass-loss fidelity, dust coma expansion validation, orbital uncertainty quantification, cometary activity phase fidelity, CO₂ jet modelling validation, Monte Carlo orbital prediction fidelity, perihelion dynamics assessment, cometary gas jet flux measurement, hyperbolic trajectory fidelity, orbital mechanics residuals analysis, interstellar comet chemical mapping, perihelion approach accuracy, comet tail gas dynamics modelling, heliocentric distance fidelity, orbital element refinement validation, comet nucleus albedo fidelity, Monte Carlo orbital simulation validation, orbital perturbation modelling fidelity, comet activity monitoring fidelity, probabilistic dynamical prediction, high-fidelity comet trajectory validation, CO₂/H₂O ratio measurement fidelity, orbital propagation fidelity, perihelion timing validation, cometary fragmentation probability fidelity, dust-gas ratio measurement, rotational axis determination fidelity, hyperbolic orbit prediction fidelity, orbital mechanics error assessment, comet nucleus heterogeneity validation, observational dataset fidelity assessment, comet tail morphology monitoring, Monte Carlo uncertainty fidelity, perihelion dynamics prediction fidelity, comet rotational modulation fidelity, orbital element prediction validation, sublimation-driven force modelling fidelity, high-resolution spectroscopy fidelity, comet nucleus thermal evolution fidelity, Monte Carlo convergence validation, orbital simulation error assessment, perihelion passage monitoring fidelity, interstellar comet trajectory assessment, orbital propagation accuracy validation, comet tail gas flux fidelity, orbital mechanics modelling fidelity, probabilistic orbital dynamics validation.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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