SB12 | Centaurs and Trans-Neptunian objects

SB12

Centaurs and Trans-Neptunian objects
Convener: Thomas Müller | Co-conveners: Csaba Kiss, Rene Duffard
Orals
| Wed, 11 Sep, 16:30–18:00 (CEST)|Room Jupiter (Hörsaal A)
Posters
| Attendance Tue, 10 Sep, 14:30–16:00 (CEST) | Display Tue, 10 Sep, 08:30–19:00|Poster area Level 1 – Intermezzo
Orals |
Wed, 16:30
Tue, 14:30
New discoveries, spectroscopic, photometric, dynamical, occultation or radiometric studies: Our knowledge of the physical, compositional and dynamical properties of the objects in the outer solar system is constantly improving.
The goal of this session is to highlight recent results that are providing fundamental clues about properties of individual objects, families, or groups, about the formation and early stages of the solar system, knowledge which is considered as key input for understanding exo-systems.

Session assets

Discussion on Discord

Orals: Wed, 11 Sep | Room Jupiter (Hörsaal A)

Chairpersons: Thomas Müller, Csaba Kiss, Rene Duffard
16:30–16:40
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EPSC2024-64
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ECP
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On-site presentation
Elsa Henault, Mário N. De Prá, Rosario Brunetto, Noemí Pinilla-Alonso, Bryan J. Holler, Donia Baklouti, and Zahia Djouadi and the DiSCo-TNO team

Introduction : Carbon dioxide (CO2) and carbon monoxide (CO) are major components of interstellar ices, protoplanetary disks and comets [1,2,3]. Yet, they have long eluded detection on Trans-Neptunian Objects (TNOs) thought to be frozen remnants of the outer protoplanetary disk. Until now, CO2 and CO had only been detected on the captured TNO Triton [4] while only CO was detected on the dwarf planet Pluto [5]. Instrumental and atmospheric limitations to the detection of CO2 and CO on medium-sized TNOs (100-800 km) are now lifted by the capacities of the James Webb Space Telescope (JWST).

Methods : 54 TNOs and 5 Centaurs have been observed using the low spectral resolution PRISM grating on NIRSpec onboard JWST as part of the Cycle 1 Large Program “Discovering the Surface Composition of trans-Neptunian objects" (DiSCo-TNOs). Our analysis of the observations focused on the 4.26 and 2.70 µm CO2 bands and on the 4.68 µm CO band. We extracted band parameters by gaussian fitting. We used available spectroscopic studies of various ices, pure and mixed, to compare their band characteristics to the ones of observational data. We also ran ion irradiation experiments to simulate space weathering on the surfaces of TNOs. We used in particular 30 keV H+ to irradiate CO2 ices at 45K and methanol (CH3OH) ices at 60K.

Results : We report here the detection of CO2 across 95% of the sample. CO2 abundance, mainly investigated through the depth of its bands, is found to greatly vary between objects and eventually to define different compositional groups. The 4.26 µm CO2 fundamental band shows an unusual profile on objects where its abundance is high. Current modelling efforts have trouble reproducing these peculiar features but show that they are likely due to sub-wavelength ice grains and complex fine optical properties of the CO2 ice. The 2.70 µm CO2 combination band, present on 63 % of the sample, is highly sensitive to chemical environment. Its position reveals that CO2 is likely pure or mixed with CO when most abundant while it is likely mixed with a polar component like H2O and CH3OH when less abundant [6]. We also report the detection of CO across at least 47% of the sample. CO is typically found on objects where CO2 is most abundant. To study the abundance of CO relatively to that of CO2 we use the band area ratio of the 4.68 µm and the 2.70 µm bands. We also retrieve this ratio from in-situ infrared spectroscopy of the irradiated CO2 and CH3OH ices. By comparing observations with laboratory experiments, we find that CO2-rich objects are compatible with a formation of CO by CO2 irradiation. Objects richer in complex organics have surfaces compatible with CO formed by CH3OH irradiation.

Discussion : The detection of CO and CO2 on TNOs give the unprecedented opportunity to map the distribution of volatiles across the different dynamical populations of the outer solar system. In fact, CO2 was found to be one of the molecules that characterizes 3 distinct spectral types, defined by clustering techniques over the whole spectral range (0.7 – 5.1 µm), which are attributed to different formation regions and retention lines in the protoplanetary disk [7]. The chemical and physical state of CO2 and CO, retrieved from the study of band characteristics (shape, position and area) allow to probe their potential origin and ongoing processes. Particularly, we argue that CO is an irradiation product of either CO2 or CH3OH, depending on the dominating molecule when the last planetary migration was triggered. CO would then be more or less efficiently retained depending on the matrix from which it formed. Finally, Centaurs’ rapid thermal evolution is evidenced by their loss of CO2 and CO [8].

Acknowledgements : This work is based on observations made with the NASA/ESA/CSA James Webb Space Telescope under the GO-1 program #2418.  Support for this program was partially provided by NASA through a grant from the Space Telescope Science Institute. Irradiations were performed using the INGMAR setup, a joint IAS-IJCLab (Orsay, France) facility funded by the P2IO LabEx (ANR-10-LABX-0038) in the framework Investissements d’Avenir (ANR-11-IDEX-0003- 01). The work was supported by the CNES (JWST mission).

References : [1] McClure et al. (2023). Nat Astron 7, 431–443. [2] Sturm et al. (2023). A&A, 679, A138. [3] Harrington-Pinto et al. (2022). PsJ, 3:247 (25pp). [4] Cruikshank et al. (1993). Science, 261(5122), 742-745. [5] Owen et al. (1993). Science, 261(5122), 745-748. [6] De Prá et al. (2024). Nature Astronomy, in press. [7] Pinilla-Alonso et al. (2024). Nature Astronomy, under revision. [8] Licandro et al. (2024). Nature Astronomy, in press.

How to cite: Henault, E., N. De Prá, M., Brunetto, R., Pinilla-Alonso, N., Holler, B. J., Baklouti, D., and Djouadi, Z. and the DiSCo-TNO team: Distribution, origin and retention of CO2 and CO in TNOs revealed by JWST, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-64, https://doi.org/10.5194/epsc2024-64, 2024.

16:40–16:50
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EPSC2024-1277
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Virtual presentation
Silvia Protopapa, Ujjwal Raut, Ian Wong, John Stansberry, Geronimo Villanueva, Jason Cook, Bryan Holler, William M. Grundy, Rosario Brunetto, Richard J. Cartwright, Bereket Mamo, Joshua Emery, Alex H. Parker, Aurélie Guilbert-Lepoutre, Noemi Pinilla-Alonso, Stefanie Milam, and Heidi B. Hammel

We report the first detection of carbon dioxide (CO2) and hydrogen peroxide (H2O2) on Charon’s frozen surface as revealed by JWST NIRSpec instrument. With the extended spectral range of NIRSpec, we have expanded Charon’s compositional inventory to include these two new species. Previously, the inventory primarily consisted of water ice (mostly in crystalline form), ammoniated species, and a tholin-like darkening constituent. The synergy of laboratory measurements and modeling analysis reveals a stratified surface rich in crystalline water ice with ammonia diluted in water ice at penetration depths of approximately ~100 micron. Additionally, a layer of pure crystalline CO2 is evident at shallower penetration depths of about ~1 micron. This feature is likely attributable to an endogenous source, unearthed by external impacts. This layering configuration is believed to cause a scattering effect, which may account for the peculiarly strong CO2 absorption band at longer wavelengths. Moreover, the surface is undergoing continuous alteration by photolysis and radiolysis, which are responsible for the presence of H2O2 and amorphous water ice.

How to cite: Protopapa, S., Raut, U., Wong, I., Stansberry, J., Villanueva, G., Cook, J., Holler, B., Grundy, W. M., Brunetto, R., Cartwright, R. J., Mamo, B., Emery, J., Parker, A. H., Guilbert-Lepoutre, A., Pinilla-Alonso, N., Milam, S., and Hammel, H. B.: Detection of Carbon Dioxide and Hydrogen Peroxide on the Layered Surface of Charon Using the James Webb Space Telescope, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-1277, https://doi.org/10.5194/epsc2024-1277, 2024.

16:50–17:00
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EPSC2024-65
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On-site presentation
Rosario Brunetto, Noemí Pinilla-Alonso, Mário N. De Prá, Elsa Hénault, Bryan J. Holler, and Javier Licandro and the DiSCo-TNO team

Introduction: Bodies orbiting the trans-Neptunian regions (TNOs) are windows into Solar System formation, history and evolution. They are remnants from the ancient time of planetary formation in the protoplanetary disk, but they have all been affected to some extent by subsequent dynamical evolution of the Solar System. Many are probably very primitive, in the sense that they incorporated solids from the protoplanetary disk and never melted, and can provide precious information about conditions in the solar nebula. Others remelted and differentiated, and we can use them to learn about the processes of planet growth and evolution.

Methods: Before the launch of the James Webb Space Telescope (JWST), the detection of molecules on TNOs has long been limited by the terrestrial atmosphere and the sensitivity of the available instrumentation. We used the low spectral resolution PRISM grating on the Near-Infrared Spectrograph (NIRSpec) of JWST as part of the Cycle 1 Large Program “Discovering the Surface Composition of trans-Neptunian objects" (DiSCo-TNOs) to observe 54 medium-sized TNOs and 5 Centaurs. The sample contains objects spanning the diversity of the TNO population in terms of size, visible colors, geometric albedo, and dynamical properties, except for the volatile rich dwarf planets.

Results: JWST is providing an unprecedented view of the molecular diversity on the surfaces of TNOs [1]. We report the detection of several molecular ices throughout the TNO population, including H2O, CO2, 13CO2, CO, CH3OH, and complex molecules and refractory materials containing aliphatic C–H, C≡N, O–H, and N–H bonds. In particular, CO2 is widespread in all TNO populations [2]. As a result of the imprint that these molecules leave on the spectra, three main compositional groups consistently emerge from multiple independent cluster analysis efforts: Bowl-type surfaces are water- and dust-rich and CH-poor, while Cliff and Double-dip surfaces are C-rich and water-poor, with Double-dip being rich in CO2 and Cliff surfaces being rich in organics. The C/O and (CH+NH)/(C+O) ratios on the surface of TNOs are the primary indicators of the spectral differences among the three TNO groups that we observe today.

Discussion: Our results unlock the long-standing question of the interpretation of TNO colour diversity providing compositional information. The marked separation of the three spectral clusters reveals sharp variations in the surface molecular constituents. CO2 and CH3OH play a major role, probably because these ices were abundant in the protoplanetary disk. We propose that medium-sized TNOs are fossil remnants of icy planetesimals, and that the three compositional groups provide a picture of the ice retention lines in the Solar System that likely occurred in the outer protoplanetary disk, possibly just before a major planetary migration. Finally, Centaurs observed by DiSCo provide direct evidence of how the three TNO spectral groups evolve when surface activity is triggered by entering the region between the orbits of Jupiter and Neptune [3].

References: [1] Pinilla-Alonso N. et al. (2024). Nature Astronomy, under revision. [2] DePrà M. et al. (2024). Nature Astronomy, in press. [3] Licandro J. et al. (2024). Nature Astronomy, in press.

How to cite: Brunetto, R., Pinilla-Alonso, N., N. De Prá, M., Hénault, E., Holler, B. J., and Licandro, J. and the DiSCo-TNO team: The molecular diversity of TNOs revealed by JWST and its links to protoplanetary composition and processes, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-65, https://doi.org/10.5194/epsc2024-65, 2024.

17:00–17:10
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EPSC2024-984
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On-site presentation
Javier Licandro, Noemí Pinilla-Alonso, Bryan Holler, Ian Wong, Mario de Pra, Mario Melita, Ana Carolina Souza Feliciano, Rosario Brunetto, Aurelie Guilbert-Lepoutre, Elsa Hénault, Vania Lorenzi, John Stansberry, Charles Schambeau, Brittany Harvison, Yvonne Pendleton, Dale Cruikshank, Thomas Mueller, Joshua Emery, Lucas McClure, and Nuno Peixinho

This research explores the surface properties of ten Centaurs through their reflective properties in the 0.6-5.3 μm range obtained using the JWST/NIRSpec spectrograph in the framework of two different programs: the JWST GO-1 large program “Discovering the Surface Composition of the trans-Neptunian Objects, Icy Embryos for Planet Formation” (DiSCo-TNOs; PID 2418) and the first Cycle One programs of Guaranteed Time “Kuiper Belt Science with JWST” (PIDs 1272 and 1273).

Our study includes 52872 Okyrhoe, 3253226 Thereus, 136204, 250112, 310071 (Licandro et al. 2024), 10199 Chariklo, 55576 Amycus, 281371, and 459865 (Licandro et al, in preparation), and 2060 Chiron (Pinilla-Alonso et al., in preparation). We observe considerable diversity in their surface composition. Our analysis reveals two main categories among these bodies that mirrors similar findings in the Trans-Neptunian Objects (TNOs): those with surfaces composed of refractory materials plus some degree of water ice, and those with a higher content of carbon-based materials. Centaurs also include objects with a surface largely composed of refractory materials and little or no volatiles. As Centaurs travel closer to the Sun their surfaces tend to become less icy and more dominated by non-volatile materials due to the sublimation of volatile substances such as ice. Our compositional analysis suggests these Centaurs have a high concentration of amorphous silicates, indicating surfaces composed of primitive, comet-like dust. These findings suggest that similar groups in the solar system – including comets, Jupiter Trojans, Main Belt Comets, and D-type asteroids – which are initially thought to have had icy compositions, may undergo comparable surface changes due to thermal processing. Finally, our data strongly suggest that the color bimodal visible color distribution of the Centaur population is due to their original composition (’nature’) and not to surface evolution (’nurture’) as in the case of TNOs (Pinilla et al., submitted).

 

 

How to cite: Licandro, J., Pinilla-Alonso, N., Holler, B., Wong, I., de Pra, M., Melita, M., Souza Feliciano, A. C., Brunetto, R., Guilbert-Lepoutre, A., Hénault, E., Lorenzi, V., Stansberry, J., Schambeau, C., Harvison, B., Pendleton, Y., Cruikshank, D., Mueller, T., Emery, J., McClure, L., and Peixinho, N.: Deciphering TNOs thermal evolution through Centaur surface studies using JWST, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-984, https://doi.org/10.5194/epsc2024-984, 2024.

17:10–17:15
17:15–17:25
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EPSC2024-1046
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ECP
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On-site presentation
Róbert Szakáts, Csaba Kiss, José Luis Ortiz, Nicolas Morales, András Pál, Thomas Müller, Jochen Greiner, Pablo Santos-Sanz, Gábor Marton, Rene Duffard, Petra Sági, and Emese Forgács-Dajka

The spin of dwarf planets and their satellites in the outer solar system is governed by their formation history and the tidal forces acting between them. By studying the rotation of these objects, we can track their evolution over time. In the case of the dwarf planet (136199) Eris the previously obtained rotation periods were not consistent in the literature. The values ranged from a few hours to ~15 days.

 

We used new data from ground based ~1-2m telescopes and light curves from Gaia and TESS space telescopes to determine the rotation period of Eris. The data from TESS wasn’t conclusive, but the combined ground based and Gaia data showed a period almost identical to the orbital period of Eris’s moon, Dysnomia with a Δm ≈ 0.03 mag amplitude. We concluded that the rotation of Eris should be tidally locked.

Figure 1.: C(P, ∆m) (period cost function) contour map; The most prominent minima is identified at a period of ∼16 d, very close to the orbital period of Dysnomia, 15.78 d.

 

We used a simple tidal evolution model, assuming that Dysnomia has a collisional origin, and we found that Dysnomia must be relatively massive (mass ratio of q = 0.01-0.03) and large (radius of Rs ≥ 300 km) or Eris must have a low Q tidal parameter similar to that of terrestrial planets to have the potential to slow Eris down to a synchronised rotation. In the first scenario assuming usual tidal parameters for trans-Neptunian objects the calculations indicate that the density of Dysnomia should be 1.8-2.4 g cm−3. This density considered very high among similarly sized objects and could set important constraints on their formation conditions.

 

The size (R≈1100 km) suggests that Eris should be spherical and the observed light curve probably comes from some surface variegations. This is not unusual among large trans-Neptunian objects because they can be characterized by bright surfaces and variable volatile compositions.

 

We compared the visible range and J - H colors of Eris from the literature and while the visible range colors showed consistent values the J - H colors varied in a large range. To clarify whether the J - H color changes we used the GuideDog camera of the Infrared Telescope Facility to observe Eris for a two week period to cover a full rotation. We found that the J - H color of Eris indeed changes with the rotational phase. This suggests notable surface heterogenity in chemical composition and/or other material properties. With a simple calculation we tested that the grain size of the dominant CH4 may in general be responsible for notable changes in the J - H color, but in the current observing geometry of the system it can only partially explain the observed J - H variation.

Figure 2.:  Top: (J − H) colors of Eris converted to the 2MASS system, as a function of rotational phase (phase zero epoch is 2457357.8929 JD, as obtained from
Bernstein et al. 2023). The dark blue markers represent the J − H colors from this work, labeled as I1...I4. The colored markers represent the J − H
values from the literature. Bottom: An approximate representation of the Eris visible range light curve using a properly phased sinusoidal curve. The phases
of IRTF, XShooter (X1 and X2) and JWST/NIRSpec (JWST) measurements are marked by vertical dashed lines.

How to cite: Szakáts, R., Kiss, C., Ortiz, J. L., Morales, N., Pál, A., Müller, T., Greiner, J., Santos-Sanz, P., Marton, G., Duffard, R., Sági, P., and Forgács-Dajka, E.: Tidally locked rotation and spin phase dependent J - H color of the dwarf planet (136199) Eris, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-1046, https://doi.org/10.5194/epsc2024-1046, 2024.

17:25–17:35
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EPSC2024-104
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On-site presentation
Csaba Kiss, Thomas Müller, Gábor Marton, Róbert Szakáts, András Pál, László Molnár, Esa Vilenius, Miriam Rengel, Jose-Luis Ortiz, and Estela Fernandez-Valenzuela

Recent stellar occultations have allowed accurate instantaneous size and apparent shape determinations of the large Kuiper belt object (50000) Quaoar and the detection of two rings with spatially variable optical depths. Here we present new visible range light curve data of Quaoar from the Kepler/K2 mission, and thermal light curves at 100 and 160 µm obtained with Herschel/PACS. The K2 data provide a single-peaked period of 8.88 h, very close to the previously determined 8.84 h, and it favours an asymmetric double-peaked light curve with a 17.76 h period. We clearly detected a thermal light curve with relative amplitudes of ~10% at 100 and at 160 µm. A detailed thermophysical modelling of the system shows that the measurements can be best fit with a triaxial ellipsoid shape, a volume-equivalent diameter of 1090 km, and axis ratios of a/b = 1.19 and b/c = 1.16. This shape matches the published occultation shape, as well as visual and thermal light curve data. The radiometric size uncertainty remains relatively large (±40 km) as the ring and satellite contributions to the system-integrated flux densities are unknown. In the less likely case of negligible ring or satellite contributions, Quaoar would have a size above 1100 km and a thermal inertia ≤ 10 J m−2K−1s−1/2. A large and dark Weywot in combination with a possible ring contribution would lead to a size below 1080 km in combination with a thermal inertia ≳10 J m−2K−1s−1/2, notably higher than that of smaller Kuiper belt objects with similar albedo and colours. We find that Quaoar's density is in the range 1.67-1.77 g cm−3, significantly lower than previous estimates. This density value closely matches the relationship observed between the size and density of the largest Kuiper belt objects. 

Figure 1: Thermophysical model results for Quaoar. Left: All available IR observations divided by the corresponding TPM predictions, using a triaxial shape with an equivalent diameter of 1090 km, and a thermal inertia of 12 J m−2K−1s−1/2 . The calculations take small flux contributions from the ring and Weywot into account. These absolute ratios are very sensitive to the size and thermal inertia assumptions in the model, the 24 μm points is strongly influenced by surface roughness effects. Right: Far-infrared light curves. The small ring and Weywot flux contributions are subtracted from the observed PACS 100 and 160 μm lightcurve data. The triaxial Quaoar model solutions (at 100 μm in green and at 160 μm in orange) are shown on top. The boxes represent the mean PACS values.

How to cite: Kiss, C., Müller, T., Marton, G., Szakáts, R., Pál, A., Molnár, L., Vilenius, E., Rengel, M., Ortiz, J.-L., and Fernandez-Valenzuela, E.: The visible and thermal light curve of the large Kuiper belt object (50000) Quaoar, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-104, https://doi.org/10.5194/epsc2024-104, 2024.

17:35–17:45
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EPSC2024-530
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ECP
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On-site presentation
Juan Luis Rizos Garcia, Estela Fernández-Valenzuela, and Jose Luis Ortiz and the The Lucky Star and the Bienor occultation campaigns team.

Introduction

Bienor is an inactive centaur with an orbital period of 67.34 years and a rotation period of approximately 9.14 hours [1]. Upon studying the color-albedo distribution of over 100 transneptunian objects and centaurs, two distinct clusters emerged: one composed of dark-neutral objects, and another of bright-red objects [2]. This distinction is particularly evident among centaurs [3,4,5], with median albedos of approximately ~5% for the dark-neutral group, and ~8.4% for the bright red group [6]. Bienor falls within the dark-neutral group.

Regarding shape and orientation, extreme light curve amplitudes suggest that Bienor is a highly elongated body [7]. According to [8], there are two possible rotational pole orientations: β = 50° ± 3°, λ = 35° ± 8° (prograde rotation), or β = −50° ± 3°, λ = 215° ± 8° (retrograde rotation). Assuming Bienor is a triaxial ellipsoid under hydrostatic equilibrium, [8] also constrained the b/a axial ratio to 0.45 ± 0.05.

Some controversy surrounds this object due to the inconsistency in size and albedo measurements obtained through various techniques [9]. Thermal measurements using data from WISE provided a diameter of (187.5 ± 15.5) km and a geometric albedo of (5.0 ± 1.9) % [3]. Radiometric measurements from the HST and SST resulted in a diameter of  (198 ± 7) km and a geometric albedo of (4.3 ± 1.6) % [10]. Subsequently, observations from SST, HST, and ALMA produced a diameter range of 179 –184 ± 6 km and a geometric albedo of (5.0 –  5.3) ± 1.8 % [9]. However, the stellar occultation technique estimated an area-equivalent diameter of 150 ± 20 km [11], smaller than the thermal diameters and suggestive of a possible satellite or binary nature. Moreover, [11] reported a strong irregularity in one of the minima of the rotational light curve, but no features compatible with rings or satellites within their data. 

Methods

Predictions of stellar occultations by Bienor were initially made using the Numerical Integration of the Motion of an Asteroid (NIMA) solution [12]. Subsequent observational campaigns [11] led to updates and refinements of Bienor's orbit. These efforts resulted in the successful prediction and observation of three positive occultations on February 6, 2022, December 26, 2022, and February 14, 2023. Moreover, to determine Bienor's rotational phase during these occultations, photometric data were collected in 2021 and 2023 using the 1.5 m telescope at the Sierra Nevada Observatory (OSN) and the 1.23 m telescope at the Calar Alto Observatory (CAHA).

Results

Thanks to the analysis of rotational light curves (Fig. 1), we obtained a refined rotation period of Bienor and confirmed the presence of a clear asymmetry in the rotational light curve with distinct absolute and relative minima.

Then, we successfully observed the three predicted stellar occultations by Bienor from Japan, Eastern Europe, and the USA, obtaining a total of 11 chords. The data acquired allowed to determine the projected shape of Bienor for the occultation that took place on December 26, 2022, obtaining a projected ellipse with a major semi-axis of 107.01 ± 3.72 km and a minor semi-axis of 51.97 ± 2.13 km (Fig. 2a). Assuming this solution, we calculated the projected area of Bienor during the date of the observations that led [9] to determine an effective area of 179–184 ± 6 km. We obtained a Bienor area-equivalent diameter of (158 ± 16) km, lower than the thermal estimation.

Fig. 1. Rotational light curves using (a) 2021 and (b) 2023 observational data. The vertical line indicates the rotational phase during the three occultations. Dashed lines show the uncertainty after propagating the 0.0002 h. At the bottom, the difference (residual) between the modeled curve and the observational data is shown.

The projected area on December 26, 2022, along with the absolute magnitude value during the occultation (7.72 ± 0.04), enabled us to determine a geometric albedo of 6.5 ± 0.5%, once again larger than previous thermal estimates. We also determined the absolute values of the triaxial ellipsoid axes.

Fig. 2. a) Occultation on December 26, 2022. The dashed line describes the ellipse that best fits the points. The dashed arrow in the upper right corner indicates the direction of the shadow motion. b) Bienor simulation with our software seen from Earth during the occultation of December 26, 2022. The white arrow indicates the determined rotation pole solution.

In addition, we developed software to simulate synthetic light curves from a three-dimensional shape model and using photometric models (Fig. 2b). With this software, we validated the rotational pole solution of β = 50°, λ = 35°, which aligns with observations spanning 22 years. Finally, we discuss several possibilities that could account for the asymmetries observed in the rotational light curves, including irregular shapes, the possibility that Bienor is a contact binary, the presence of equatorial regions with much lower albedo, and eventually the possibility of a satellite. This last option is the most plausible as it could explain not only the asymmetries but also the missing area that would account for the discrepancies in albedo.

References

[1] Ortiz, J. L., et al. 2002, A&A, 388, 661. [2] Lacerda, P., et al. 2014, ApJ, 793, L2. [3] Bauer, J. M., et al. 2013, ApJ, 773, 22. [4] Duffard, R., et al. 2014, A&A, 564, A92. [5] Tegler, S. C., et al. 2016, AJ, 152, 210. [6] Müller, T., et al. 2020, in The Trans-Neptunian Solar System. [7] DeMeo, F. E., et al. 2009, A&A, 493, 283. [8] Fernández-Valenzuela, E., et al. 2017, MNRAS, 466, 4147. [9] Lellouch, E., et al. 2017, A&A, 608, A45. [10] Duffard, R., et al. 2014, A&A, 568, A79. [11] Fernández-Valenzuela, E., et al. 2023, A&A, 669, A112. [12] Desmars, J., et al. 2015, A&A, 584, A96.

How to cite: Rizos Garcia, J. L., Fernández-Valenzuela, E., and Ortiz, J. L. and the The Lucky Star and the Bienor occultation campaigns team.: A study of centaur (54598) Bienor from multiple stellar occultations and rotational light curves, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-530, https://doi.org/10.5194/epsc2024-530, 2024.

17:45–17:55
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EPSC2024-123
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On-site presentation
Bruno Sicardy and Heikki Salo

We consider the effect of Spin-Orbit Resonances (SORs) excited on ring particles by bodies with non-axisymmetric gravitational fields. SORs happen for n/Ω ~ m/(m-j) , where n is the mean motion of the ring particles, Ω is the spin rate of the body, m is an integer (positive or negative) and j>0 is the order of the SOR. Due to the structure of their phase portraits, only first- and second-order SORs are expected to significantly excite eccentricities on dense collisional rings.

We calculate more specifically the eccentricities excited at SORs around Chariklo, Haumea and Quaoar, considering in turn the effects of their triaxiality and the effects of a mass anomaly μ=10-3  relative to the mass of the central body. The triaxiality is obtained from stellar occultation results, while μ=10-3 is a typical estimated value corresponding to topographic features (mountains, depressions,...) of several kilometers in height or depth. The results are displayed in Figs. 1, 2 and 3, corresponding respectiveley to Chariklo, Haumea and Quaoar. We find that the triaxialities of all three bodies excite large eccentricities (e>0.1) on the ring particles, resulting in unstable orbits that suffer strong torques from the SORs, chaoticity due to the superimposition of SORs, or even short-term physical collisions with the body.

As a consequence, all the region inside the 1/2 (or 2/4) SOR is not prone to host stable rings around Chariklo and Haumea. Moving outward, the 1/3 SOR excites moderate eccentrities of the order of e=0 01 on the particles of Chariklo's and Haumea's rings, thus avoiding a rapid destruction of these rings. In the case of Quaoar, the 1/3  and 5/7 SORs excite eccentricities of a few 10-3 only, preventing again a rapid ring destruction.

A companion paper by Salo and Sicardy presents N-body simulations showing that the 1/3 second-order SOR can indeed cause a single-sided confinement, thus explaining the current location of the main rings of Chariklo, Haumea and Quaoar. More simulations are required to explore the stability of the second ring of Quaoar (Q2R) that orbits near the 5/7 second-order SOR. This resonance is surrounded by strong first-order SORs (Fig. 3) that may destabilize Q2R. A better assessment of Quaoar's triaxial shape and mass anomaly μ must be now undertaken for discussing further the stability of this ring.

Acknowledgments. BS thanks the French ANR “ROCHE" for support.

 

Fig. 1 - Eccentricities forced on a particle with an initially circular orbit around Chariklo. Left: first-order SORs, red: resonances forced by the triaxial shape of Chariklo, black: resonances forced by a mass anomaly of μ=10-3. Right: second-order resonances, blue: effect of the triaxial shape of Chariklo, black: effect of a mass anomaly μ=10-3.

Fig. 2 - The same as Fig. 1 for Haumea.

Fig. 3 - The same as Fig. 1 for Quaoar.

How to cite: Sicardy, B. and Salo, H.: The dense resonance meshes around the ringed Chariklo, Haumea and Quaoar, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-123, https://doi.org/10.5194/epsc2024-123, 2024.

17:55–18:00

Posters: Tue, 10 Sep, 14:30–16:00 | Poster area Level 1 – Intermezzo

Display time: Tue, 10 Sep, 08:30–Tue, 10 Sep, 19:00
I22
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EPSC2024-472
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ECP
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On-site presentation
José María Gómez-Limón Gallardo, Rodrigo Leiva, José Luis Ortiz, Nicolás Morales, Mike Kretlow, Yücel Kilic, Pablo Santos-Sanz, Álvaro Álvarez-Candal, Estela Fernández-Valenzuela, Juan Luis Rizos, Flavia Luane Rommel, René Duffard, and Mónica Vara-Lubiano and the Observers of the 2022-08-22 event

Transneptunian objects (TNOs) are some of the most pristine objects in the Solar System. These remnants from the protoplanetary disk of planetesimals have been barely altered since the formation of the Solar System. Hence, they are ideal to test formation and evolutionary models. The technique of stellar occultations consists on observing the flux drop of a star as an object passes in front of it. If several observers at different locations on Earth observe the event, the projected bidimensional shape at the moment of the occultation can be reconstructed with spatial resolution only matched by that of in-situ space missions. Therefore, stellar occultations represent an excellent oportunity to probe the shape distribution in the transneptunian region. This is of great interest since three-dimensional shapes provide insight into internal structure, composition and densities [1].

In case of an occultation of a double star, stellar occultations also enable us to resolve the double star and determine individual magnitudes with unparalleled precision. However, the analysis of (unresolved) double star occultations can be challenging. Complex correlations might arise between the relative positions of the stars and the shape parameters. Moreover, if there is a considerable apparent brightness difference and photometry is low in SNR, it is difficult to distinguish between the detection of the dim star being occulted (possitive detection) and no occultation (negative detection). A Bayesian approach is optimal in such cases [2], since no a priori assumptions need to be made about the positive or negative nature of the light curve. Each flux value from each site is considered as an individual data point to be compared against the predicted value by the model for some parameter values. In addition, this method enables us to better understand possible correlations between parameters. Such a methodology has recently been used in published occultation analysis with satisfactory results [3, 4].

(470316) 2007 OC10 is a scattered disk object, i.e. an object that is being currently scattered by Neptune, resulting in high orbital eccentricity and inclination. I will present the preliminary results from an occultation by this TNO recorded on the 2022-08-22. The observed flux drop from different locations is consistent with an occultation of double star. We modeled the possible relative positions and magnitude difference between both stars and the projected shape of 2007 OC10 (assuming an elliptical limb) with a Bayesian approach. Preliminary analysis of the data yields a star separation of ~ 60 mas and magnitude difference of ~ 1.2 mag. The fit to the projected shape enabled us to derive an albedo of ~15 % and an area equivalent radius of ~ 150 km. There are only two published TNO occultation of a double star, by 2014 WC510 [4] and by 2003 VS2 (in which case only the bright star was considered in the analysis) [5].

I would like to acknowledge the effort of all the observers of the occultation event.

References: [1] Rambaux, Baguet, Chambat et al. 2017, ApJL, 850.1-pg L9; [2] Leiva 2022, 16th EPSC2022-669; [3] Strauss, Leiva, Keller et al. 2021, PSJ, 2.1-pg 22; [4] Leiva, Buie, Keller et al. 2019, Planet. Sci. J., 1.2-pg 48; [5] Benedetti-Rossi, Santos-Sanz, Ortiz et al. 2019, AJ, 158.4-pg. 159

How to cite: Gómez-Limón Gallardo, J. M., Leiva, R., Ortiz, J. L., Morales, N., Kretlow, M., Kilic, Y., Santos-Sanz, P., Álvarez-Candal, Á., Fernández-Valenzuela, E., Rizos, J. L., Rommel, F. L., Duffard, R., and Vara-Lubiano, M. and the Observers of the 2022-08-22 event:  Analysis of a double star occultation by TNO (470316) 2007 OC10, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-472, https://doi.org/10.5194/epsc2024-472, 2024.

I23
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EPSC2024-534
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Virtual presentation
Heikki Salo and Bruno Sicardy

Rings around outer Solar system small bodies are not rare, as exemplified by the rings discovered around Chariklo, Haumea, and Quaoar. The triaxial shapes and smaller topographic features (“mass-anomalies”) of such bodies imply markedly non-axisymmetric gravitational field. This leads to strong excitation of eccentricities at spin-orbit (SOR) resonances, where the particle mean motion n and the spin rate Ω of the central body satisfy n/Ω=m/(m-j), with m either a positive (inside co-rotation) or negative (outside) integer and j>0  is the order of the resonance. As demonstrated in the companion paper by Sicardy&Salo, the region near 1/3 SOR provides the innermost relatively peaceful environment around the central body.

Figure 1 displays simulations of a azimuthally complete 3D ring placed at 1/3 SOR with a mass-anomaly μ=0.1. Non-colliding test particles (upper frame) develop large eccentricities near resonance, which appears as a gap in the distribution of particles. Inclusion of collisions leads to viscous spreading when μ=0 (middle) but when both collisions and resonance perturbations are included, to a formation of a confined ringlet (lower frame). The ringlet formation is preceded by a phase where particles gradually collect to the resonance, their orbits being synchronized by mutual impacts. Such confinement is not specific to 1/3 resonance, but takes place when the ring is sufficiently perturbed with strong width variations. In this case the angular momentum flux reversal takes place and  collisions lead to confinement rather than dispersal.

The accumulation and subsequent confinement represent a competition between viscous diffusion and resonant excitation of eccentricities. Based on timescales of these processes, a simple condition  τ R2 < k μ2  can be written for the parameter regime where particle accumulation to the 1/3 resonance is expected. Here is a constant, τ denotes dynamical optical depth and R  the particle radius. Fig. 2 (left) displays simulations conducted with τ=0.015,  with different μ and R, confirming the above scaling of the boundary between accumulation and dispersal.  Extrapolating to realistic values of expected μ ≈10-3 (corresponds to km-sized topographic features, mountains or depressions), implies that resonance accumulation should take place for meter-sized particles, even when for τ ≈1 (see the red line).

During the accumulation of the ringlet,  the ringlet angular momentum Lz   jumps due to torque exerted by the perturbation, effectively transporting the particles to just outside the resonance zone. Nevertheless, even in the confinement phase the 1/3 ringlet is slowly gaining Lz. In practice the ringlet density peak is not moving but the ringlet slowly leaks particles outward, carrying the excess angular momentum (see Fig. 3, upper row). This elongates the life-time of the ringlet compared to that estimated from the rate of angular momentum gain, but it still implies eventual dispersal.

A possible mechanism leading to a practically permanent stabilization  would be to have satellite(s) located outside the ringlet. Since the actual confinement of the ringlet would still be provided by the 1/3 SOR perturbation, a broad range of satellite distances/masses would be expected be able to prevent the spreading of the tail particles. The lower row of Fig. 3 provides an example, with a small satellite outside the 1/3 resonance. In the absence of 1/3 perturbation such a satellite prevents the outward spreading and creates a sequence of spiral density perturbations at its inner first order resonances (here with m=5,6,7,8). When combined with 1/3 SOR perturbation (lower right frame; the satellite was added after 100,000 revolutions) the tail particles are pushed back to the main body of the ringlet, which now remains confined both from inside and outside. In the example shown, the increase in ringlet Lz has in fact been been reverted to a slow decrease, which presumably would be stabilized when the ringlet has moved a little closer to 1/3 resonance. Thus, the location of the ringlet is still governed by the 1/3 SOR

Acknowledgments. BS thanks the French ANR “ROCHE" for support

 

 

Fig. 1 - Simulations of 1/3 resonance with a μ=0.1 mass anomaly on the surface of spherical central body. Upper row shows non-colliding test particles: the angular momentum Ldistribution (left) is not affected and a gap forms in instantaneous particle positions (right) due large eccentricities. The middle row shows colliding particles in the absence of perturbation, experiencing rapid viscous spreading. In the lower row both collisions and perturbation are included, leading to accumulation of particles at the resonance with synchronized eccentricities, followed by the formation of confined ringlet. Simulations use 30,000 particles, with  R=200 meters when scaled to Chariklo system, yielding initial optical depth τ=0.06. The coefficient of restitution εn=0.1. In the Cartesian projections the width of the ring and the deviations of the center-line from mean distance are exaggerated by a factor of five for better viewing. Note that inclusion of central body elongation (e=0.20 for Chariklo) would have no noticeable effect on the behavior.

 

Fig. 2 - A survey of 1:3 resonance simulations with R=25m-800m and mass-anomaly μ=0.003 -0.1. The optical depth τ=0.015. Frames in the left show the evolution of Lz distribution (duration of simulations vary 20,000 -200,000 central body revolutions). In the right the filled/open symbols distinguish between simulations leading to resonance accumulation/dispersal. The black curve indicates the accumulation threshold, following the scaling of viscous and resonance excitation timescales for a second-order resonance. Shaded region extrapolates the accumulation region to τ∼1.

 

 

 

Fig. 3 - Upper row: long term evolution of  1/3 SOR ringlet with  μ=0.03;  Note the eventual slow leaking of particles from the ringlet, which maintains sharp edges.  Lower row: effect of satellite on the ringlet, with mass 5 10-6 relative to central body, located 10% outside the 1/3 SOR. Without 1/3 perturbation the ring spreads inward and spiral density perturbations develop at first order resonances with the moon. When satellite is added to a simulation with a 1/3 SOR ringlet (after 100,000 revolutions), the leaking of ringlet is prevented. In the figure the ring widths and deviations are expanded by a factor of 10; also the satellite position has been shifted for clarity.

 

 

How to cite: Salo, H. and Sicardy, B.: Collisional confinement of 1:3 resonance ringlets around non-spherical bodies, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-534, https://doi.org/10.5194/epsc2024-534, 2024.

I24
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EPSC2024-556
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On-site presentation
Jose L. Ortiz, Nicolas Morales, Bruno Sicardy, Estela Fernandez-Valenzuela, Felipe Braga-Ribas, Juan Luis Rizos, Mike Kretlow, José María Gómez-Limón, Yucel Kilic, Orhan Erece, Ibrahim Akoz, Kadir Uluc, Shai Kaspi, Anna Marciniak, Vlad Turcu, Dan Moldovan, Adrian Sonka, Elisabeta Petrescu, Alin Nedelcu, and Caglayan Nehir and the Lucky Star collaborators and Observers of the 1995SM55 occultation campaing in 2024

The Trans-Neptunian Object with provisional designation 1995SM55 is one of the few members of the Haumea orbital cluster and therefore it is a very relevant body to study through the occultation technique in order to accurately determine size, shape and geometric albedo.  A very wide campaign involving 50 telescopes was arranged to observe a stellar occultation by this body on 25 February 2024, given that an astrometric update soon before the occultation indicated a good chance of detecting the event. Taking into account that the involved star was relatively bright, at G=12.4 mag, accessible to numerous instruments, the probability of success was high. In the end 7 positive detections from 5 different observatories were obtained and 33 sites obtained negative results. From a preliminary analysis of the occultation results together with ground based photometry data on 1995SM55 that we have gathered over more than a decade with various telescopes, we have been able to determine an accurate projected size and geometric albedo for this object. It turns out that the body is remarkably small for its brightness and therefore it has a high geometric albedo. Given the orbital and spectral similarities of 1995SM55 with Haumea, a high albedo, comparable to that of Haumea and a small size was expected. The final geometric albedo turned out to be even higher than that of Haumea.

How to cite: Ortiz, J. L., Morales, N., Sicardy, B., Fernandez-Valenzuela, E., Braga-Ribas, F., Rizos, J. L., Kretlow, M., Gómez-Limón, J. M., Kilic, Y., Erece, O., Akoz, I., Uluc, K., Kaspi, S., Marciniak, A., Turcu, V., Moldovan, D., Sonka, A., Petrescu, E., Nedelcu, A., and Nehir, C. and the Lucky Star collaborators and Observers of the 1995SM55 occultation campaing in 2024: The small size and high geometric albedo of the Haumea cluster member 1995 SM55 from a stellar occultation and ground based photometry, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-556, https://doi.org/10.5194/epsc2024-556, 2024.

I25
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EPSC2024-564
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Virtual presentation
Audrey Delsanti, Sylvain Douté, Olivier Groussin, Bellana Carme, Éloïse Bodereau, and Benoît Neichel

The European Southern Observatory (ESO) 39m-Extremely Large Telescope will be on sky before the end of this decade, and will enable unprecedented spatially resolved observations. HARMONI (High Angular Resolution Monolithic Optical and Near-Infrared Integral field spectrograph) is a first-light instrument that covers the 0.47-2.45 micron range with a spectral resolution R of 3300-18000. Four Fields of View (FOV) sizes are available with "spaxels" scales from 30x60 down to 4x4  milli-arcsecond (mas). HARMONI will operate in two Adaptive Optics (AO) modes: single conjugate adaptive optics (SCAO) and laser tomography adaptive optics (LTAO). In this work, we explore the performances of the near infrared gratings (0.8-2.4 microns, R=3300) in LTAO mode to obtain the surface reflectance spectra of Trans-Neptunian Objects of various apparent diameters and of various surface compositions. We use a complete set of image rendering tools and laboratory data as well as the HSIM simulation pipeline (Zieleniewski et al 2015, MNRAS 453, Issue 4, 3754, which was further enhanced by M. Pereira-Santaella) to produce the observed data cubes. We present the resulting simulations and related performances for the exploration of the very first surface composition constrast maps of dwarf planets beyond Neptune.

How to cite: Delsanti, A., Douté, S., Groussin, O., Carme, B., Bodereau, É., and Neichel, B.: Exploring the Solar System beyond Neptune with the ESO/Extremely Large Telescope HARMONI Integral Field Spectrograph, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-564, https://doi.org/10.5194/epsc2024-564, 2024.

I26
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EPSC2024-1361
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On-site presentation
Emese Forgács-Dajka, Emese Kővári, Tamás Kovács, Zsolt Sándor, and Csaba Kiss

The trans-Neptunian space, home to numerous small bodies known as trans-Neptunian objects (TNOs), exhibits diverse dynamical behaviors and serves as a valuable probe into the Solar System's history. These TNOs, relics of past dynamical events, reflect significant changes in the positions of the giant planets over time. Our comprehensive survey, using the FAIR method on over 4,000 TNOs from the JPL database, identified several mean-motion resonances (MMRs) with Neptune and characterized resonant behavior through short-term and long-term libration patterns.This region's structure is significantly influenced by celestial mechanical resonances, including MMRs, secular resonances, and the Kozai resonance. Through a large-scale survey employing dynamical maps, we pinpointed key MMRs and assessed their roles using chaotic diffusion and stability time analysis. Chaotic diffusion rates indicate the long-term evolutionary trends and stability times of TNOs, offering insights into the chaotic nature and stability of their orbits. Studying these resonant behaviors and diffusion rates provides a deeper understanding of the past dynamics of the Solar System, including the migration of giant planets and their impact on smaller bodies. This research maps the overall structure of the trans-Neptunian region, refining existing dynamical classifications and contributing to predictions of the Solar System's future evolution. 

How to cite: Forgács-Dajka, E., Kővári, E., Kovács, T., Sándor, Z., and Kiss, C.: Dynamical and Chaotic Structures in the Trans-Neptunian Region: Insights from Resonance Analysis and Diffusion Rates, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-1361, https://doi.org/10.5194/epsc2024-1361, 2024.

I27
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EPSC2024-1358
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Virtual presentation
Elke Pilat-Lohinger, Birgit Loibnegger, Max Zimmermann, Daniel Hestroffer, Marc Fouchard, and Melanie Saillenfest

Introduction:
Gaia observations (DR1-DR3) confirmed that the solar system will experience a close flyby of the K-type star Gliese 710 in about 1.3 Myrs. This 0.6 solar mass star will pass through the Oort cloud at a velocity of ~14.4 km/s, an inclination of ~150° with respect to the ecliptic and approach the Sun up to approximately 10,000 au (according to Gaia DR3 release). Earlier studies predicted flyby distances between 12000 and 4300 au (see e.g. Berski and Dybczynski 2016; Bailer-Jones et al. 2018; De la Fuente Marcos and De la Fuente Marcos 2018). The stellar passage will perturb the comets outside Neptune’s orbit, especially
objects entering the sphere of influence of Gliese 710.
Assuming that there are 10¹² Oort cloud objects between 100 to 100000 au from the Sun (resulting in a mean object density of 0.0002 comets/au³), it is obvious that numerical calculations of such a system are not within the realms of possibility even if a numerical code allows orbit calculation of tens of millions of (non-interacting) objects.

Numerical study:
Using our recently developed GPU based N-body code GANBISS (Zimmermann & Pilat-Lohinger 2023) we studied the orbits of some hundred million test-comets in the outer solar system for the time of the flyby of Gliese 710 which takes about 64000 years. 50 million comets were distributed in each of the six zones around the hyperbolic trajectory of the passing star. The cross section of this (red) tube is defined by the sphere of influence of Gliese 710. Figure 1 shows the six zones of the Oort cloud: a flat disk (purple) from 50 to 5000 au (i < 1°), a flared disk (green) from 5000 to 10000 au (i < 45°) and a spherical cloud between 10000 and 100000 au (0° < i < 180°) which has been divided into four zones.

Results:
When looking at the changes in the orbital parameters of the comets due to the stellar flyby in the individual zones, the (a,e) diagrams show V-structures (see Pilat-Lohinger et al. 2022a, 2022b) that disappear when the entire area of the Oort cloud is considered at once.

The passage of a star thus produces two branches of comets: an inward-facing branch that can transport comets towards the inner solar system, and an outward-facing branch that might scatter objects into the interstellar region. Moreover, the inward-facing branch shows higher eccentricities than the outward-facing branch, particularly in case of comets of the outer spherical cloud.

Assuming that the radius of Gliese 710's sphere of influence is about 2000 au -- resulting in an average object density of 0.00017 obj/au3 in the tube around the trajectory -- our calculations show that after the stellar flyby more than 4500 comets have their pericenter within 5 au and more than 108 million comets were scattered into interstellar space.

Conclusion:
Our numerical study shows that the star Gliese 710 -- which will pass through the Oort Cloud up to a distance of 10000 au from the Sun in about 1.3 million years -- will scatter several thousand comets towards the inner solar system, increasing the number of comets crossing Earth’s orbit and the risk of encounters with planet Earth.

Figure 1: Sketch of Gliese 710's flyby

Figure 2: Semi-major axis – eccentricity map of the comets after the stellar flyby. The different colors denote the different zone (see Fig.1). Note that the map shows a reduced number of comets.

How to cite: Pilat-Lohinger, E., Loibnegger, B., Zimmermann, M., Hestroffer, D., Fouchard, M., and Saillenfest, M.: Perturbations of trans-Neptunian objects due to Gliese 710’s passage, Europlanet Science Congress 2024, Berlin, Germany, 8–13 Sep 2024, EPSC2024-1358, https://doi.org/10.5194/epsc2024-1358, 2024.

I28
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EPSC2024-1065
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On-site presentation
Prospects of stellar occultations with robotic telescopes
(withdrawn)
Rodrigo Leiva, Cesar Fuentes, Andrés Jordán, Rafael Brahm, Vincent Suc, Chrysa Avdellidou, and Marco Delbo