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<p><strong>Abstract</strong></p> <p>We are conducting an observing campaign with a sample of near-Earth asteroids (NEAs) to detect YORP-induced acceleration. Photometric lightcurves from small to medium optical telescopes are used to detect changes to spin state. Where available, radar and thermal-IR observations are used to develop physical models that are used to determine expected YORP strengths. We will present the results of an analysis of 2000 PN9 (hereafter PN9) using optical and radar observations between 2001 and 2016. A detailed physical model has been developed to describe the shape and spin-state of the asteroid. PN9 is top-shaped with an equatorial ridge, and is rotating close to the spin-breakup limit. PN9 is the largest asteroid known to have this distinctive and highly symmetrical 'YORPoid' shape, and is the fastest-rotating top-shaped body that is not part of a multiple system. Due to the size and shape of PN9, an observational detection of YORP acceleration has not been possible with the available data. The shape and rotation period indicate that PN9 is a YORP-evolved body similar to 1999 KW4 [1], and that it is a good candidate for future detection of mass-lofting events.</p> <p><strong>Introduction</strong></p> <p>The YORP effect is a thermal torque caused by the reflection, absorption and anisotropic re-emission of Solar radiation [2,3]. YORP is the main driver of physical and dynamical evolution for small bodies in the inner Solar System [4]. There are seven confirmed detections of YORP to date, all of which are in the 'spin-up' mode.</p> <p>The observing campaign aims to increase the number of YORP detections such that theoretical understanding of YORP can be improved. Optical and IR observations were carried out on 42 NEAs through our ESO Large Programme from 2010 to 2014, with continued monitoring conducted through associated programmes. In addition to photometric observations, thermal-IR and radar observations have been obtained for the NEA sample.</p> <p>PN9 was observed in 2001, 2006, 2010, 2011, 2015 and 2016 with various optical telescopes resulting in 29 lightcurves. Radar observations were also conducted at the Arecibo and Goldstone radar facilities in 2001 and 2006. Previously published lightcurves report rotational periods around 2.53 h [5,6] and initial diameter estimates range from 1.6 - 2.0 km [5,7]. PN9 has been previously classified as an Sq-type asteroid [8].</p> <p><strong>Results & Conclusions</strong></p> <p>Detecting YORP requires well constrained measurement of the evolving rotation period and pole orientation. These parameters can be determined using lightcurve data alone, although it is beneficial to have a detailed radar shape model. This greatly assists with the computation of rotational phase offsets between observations and synthetic lightcurves derived from a constant-period shape model. YORP causes a linear change in rotation period, which in turn causes a quadratic increase in rotational phase offset against time. A radar shape model greatly assists in the detection of this quadratic trend, which is highly desirable for constraining YORP strength.</p> <p><img 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
<p><strong>Abstract</strong></p> <p>We are conducting an observing campaign with a sample of near-Earth asteroids (NEAs) to detect YORP-induced acceleration. Photometric lightcurves from small to medium optical telescopes are used to detect changes to spin state. Where available, radar and thermal-IR observations are used to develop physical models that are used to determine expected YORP strengths. We will present the results of an analysis of 2000 PN9 (hereafter PN9) using optical and radar observations between 2001 and 2016. A detailed physical model has been developed to describe the shape and spin-state of the asteroid. PN9 is top-shaped with an equatorial ridge, and is rotating close to the spin-breakup limit. PN9 is the largest asteroid known to have this distinctive and highly symmetrical 'YORPoid' shape, and is the fastest-rotating top-shaped body that is not part of a multiple system. Due to the size and shape of PN9, an observational detection of YORP acceleration has not been possible with the available data. The shape and rotation period indicate that PN9 is a YORP-evolved body similar to 1999 KW4 [1], and that it is a good candidate for future detection of mass-lofting events.</p> <p><strong>Introduction</strong></p> <p>The YORP effect is a thermal torque caused by the reflection, absorption and anisotropic re-emission of Solar radiation [2,3]. YORP is the main driver of physical and dynamical evolution for small bodies in the inner Solar System [4]. There are seven confirmed detections of YORP to date, all of which are in the 'spin-up' mode.</p> <p>The observing campaign aims to increase the number of YORP detections such that theoretical understanding of YORP can be improved. Optical and IR observations were carried out on 42 NEAs through our ESO Large Programme from 2010 to 2014, with continued monitoring conducted through associated programmes. In addition to photometric observations, thermal-IR and radar observations have been obtained for the NEA sample.</p> <p>PN9 was observed in 2001, 2006, 2010, 2011, 2015 and 2016 with various optical telescopes resulting in 29 lightcurves. Radar observations were also conducted at the Arecibo and Goldstone radar facilities in 2001 and 2006. Previously published lightcurves report rotational periods around 2.53 h [5,6] and initial diameter estimates range from 1.6 - 2.0 km [5,7]. PN9 has been previously classified as an Sq-type asteroid [8].</p> <p><strong>Results & Conclusions</strong></p> <p>Detecting YORP requires well constrained measurement of the evolving rotation period and pole orientation. These parameters can be determined using lightcurve data alone, although it is beneficial to have a detailed radar shape model. This greatly assists with the computation of rotational phase offsets between observations and synthetic lightcurves derived from a constant-period shape model. YORP causes a linear change in rotation period, which in turn causes a quadratic increase in rotational phase offset against time. A radar shape model greatly assists in the detection of this quadratic trend, which is highly desirable for constraining YORP strength.</p> <p><img 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
On 2022 September 26, the Double Asteroid Redirection Test (DART) spacecraft impacted Dimorphos, the satellite of binary near-Earth asteroid (65803) Didymos. This demonstrated the efficacy of a kinetic impactor for planetary defense by changing the orbital period of Dimorphos by 33 minutes. Measuring the period change relied heavily on a coordinated campaign of lightcurve photometry designed to detect mutual events (occultations and eclipses) as a direct probe of the satellite’s orbital period. A total of 28 telescopes contributed 224 individual lightcurves during the impact apparition from 2022 July to 2023 February. We focus here on decomposable lightcurves, i.e., those from which mutual events could be extracted. We describe our process of lightcurve decomposition and use that to release the full data set for future analysis. We leverage these data to place constraints on the postimpact evolution of ejecta. The measured depths of mutual events relative to models showed that the ejecta became optically thin within the first ∼1 day after impact and then faded with a decay time of about 25 days. The bulk magnitude of the system showed that ejecta no longer contributed measurable brightness enhancement after about 20 days postimpact. This bulk photometric behavior was not well represented by an HG photometric model. An HG 1 G 2 model did fit the data well across a wide range of phase angles. Lastly, we note the presence of an ejecta tail through at least 2023 March. Its persistence implied ongoing escape of ejecta from the system many months after DART impact.
The NASA Double Asteroid Redirection Test (DART) spacecraft impacted the secondary body of the binary asteroid (65803) Didymos on 2022 September 26 and altered its orbit about the primary body. Before the DART impact, we performed visible and mid-infrared observations to constrain the pre-impact thermophysical properties of the Didymos system and to model its Yarkovsky effect. Analysis of the photometric phase curve derives a Bond albedo of 0.07 ± 0.01, and a thermophysical analysis of the mid-infrared observations derives a thermal inertia of 320 ± 70 J m−2 K−1 s−1/2 and a thermal roughness of 40° ± 3° rms slope. These properties are compatible with the ranges derived for other S-type near-Earth asteroids. Model-to-measurement comparisons of the Yarkovsky orbital drift for Didymos derives a bulk density of 2750 ± 350 kg m−3, which agrees with other independent measures based on the binary mutual orbit. This bulk density indicates that Didymos is spinning at or near its critical spin-limit at which self-gravity balances equatorial centrifugal forces. Furthermore, comparisons with the post-impact infrared observations presented in Rivkin et al. indicate no change in the thermal inertia of the Didymos system following the DART impact. Finally, orbital temperature simulations indicate that subsurface water ice is stable over geologic timescales in the polar regions if present. These findings will be investigated in more detail by the upcoming ESA Hera mission.
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