Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results F
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Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results F. Roques, A. Doressoundiram, V. Dhillon, T. Marsh, S. Bickerton, J. J. Kavelaars, M. Moncuquet, M. Auvergne, I. Belskaya, M. Chevreton, et al. To cite this version: F. Roques, A. Doressoundiram, V. Dhillon, T. Marsh, S. Bickerton, et al.. Exploration of the Kuiper Belt by High-Precision Photometric Stellar Occultations: First Results. Astronomical Journal, Amer- ican Astronomical Society, 2006, 132, pp.819-822. 10.1086/505623. hal-00640050 HAL Id: hal-00640050 https://hal.archives-ouvertes.fr/hal-00640050 Submitted on 10 Nov 2011 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The Astronomical Journal, 132:819Y822, 2006 August # 2006. The American Astronomical Society. All rights reserved. Printed in U.S.A. EXPLORATION OF THE KUIPER BELT BY HIGH-PRECISION PHOTOMETRIC STELLAR OCCULTATIONS: FIRST RESULTS F. Roques,1,2 A. Doressoundiram,1 V. Dhillon,3 T. Marsh,4 S. Bickerton,5,6 J. J. Kavelaars,5 M. Moncuquet,1 M. Auvergne,1 I. Belskaya,7 M. Chevreton,1 F. Colas,1 A. Fernandez,1 A. Fitzsimmons,8 J. Lecacheux,1 O. Mousis,9 S. Pau,1 N. Peixinho,1,10 and G. P. Tozzi11 Received 2005 November 11; accepted 2006 May 4 ABSTRACT We report here the first detection of hectometer-size objects by the method of serendipitous stellar occultation. This method consists of recording the diffraction shadow created when an object crosses the observer’s line of sight and occults the disk of a background star. One of our detections is most consistent with an object between Saturn and Uranus. The two other diffraction patterns detected are caused by Kuiper Belt objects beyond 100 AU from the Sun and hence are the farthest known objects in the solar system. These detections show that the Kuiper Belt is much more extended than previously believed and that the outer part of the disk could be composed of smaller objects than the inner part. This gives critical clues to understanding the problem of the formation of the outer planets of the solar system. Key words: Kuiper Belt — occultations — solar system: formation 1. INTRODUCTION exhibit an almost continuous size distribution from kilometer- to 5 m scale objects. Extrapolating the size distribution of the known The Kuiper Belt is the remnant of the circumsolar disk where KBOs down to objects of 1 km radius leads to 1011 KBOs with a the giant planets of the solar system formed 4.6 billion years ago. total mass of only 0.1 Mo (Gladman et al. 2001). In contrast, a Since 1992 more than 1000 Kuiper Belt objects (KBOs) have been simple extrapolation of the surface mass density of the solar sys- detected, mostly outside Neptune’s orbit. Three classes of objects tem outside 35 AU yields several Earth masses. Moreover, KBO are observed: the Plutinos are, like Pluto, in resonant orbit with accretion models require an initial Kuiper Belt 100 times more Neptune, the classical objects have moderately inclined and eccen- massive than the currently observed belt and predict that smaller tric orbits, and the scattered disk objects, like the recently discov- ered 2003 UB , have large eccentricities and large inclinations. objects of the primitive Kuiper Belt could have been collisionally 313 depleted over the age of the solar system (Malhotra et al. 2000). This structure is explained by perturbations by the planets and The outer limit of the belt is also unknown, but beyond 48 AU in particular by resonances with Neptune (Levison & Morbidelli there does appear to be a sharp decline in the number of objects 2003). However, the distance of the belt currently limits the di- exceeding 40 km (Allen et al. 2002). rect detection of KBOs to those with sizes greater than a few tens Stellar occultations are a common technique used to study un- of kilometers and closer than 100 AU. seen bodies in the solar system, planetary atmospheres, and rings Several facts lead to the idea that the known KBOs (>10 km (Sicardy et al. 1991; Millis et al. 1987). The method consists of diameter) represent only a small fraction of the Kuiper Belt pop- recording the luminous flux of a star with a fast photometer or a ulation. Triton’s crater distribution suggests that small impactors rapid CCD camera. A dip in the stellar light is detected when an (kilometer and subkilometer) have recently riddled this moon (Stern & McKinnon 2000), and so the Kuiper Belt must contain many occulting object passes between the observer and the star. This method is able to detect small objects inaccessible to direct obser- such bodies. Various collisional simulations reported (Farinella vation. For example, a star with 1 as of angular size has a projected et al. 2000) argue in favor of a significant population of small KBOs. The near-Earth asteroids (NEAs; Rabinowitz et al. 2000) size comparable to a 30 m object at 40 AU. Detailed computations (Roques et al. 1987; Roques & Moncuquet 2000), which include diffraction effects, have shown the potential of occultation to de- 1 Laboratoire d’Etudes Spatiales et d’Instrumentation en Astrophysique, tect small objects orbiting in the outer solar system, and in par- Observatoire de Paris, F-92195 Meudon Principal Cedex, France; francoise ticular beyond the orbit of Neptune. The use of occultations to [email protected]. understand the KBO population has already been suggested in 2 Corresponding author. Bailey (1976), Brown & Websters (1997), and Cooray & Farmer 3 Department of Physics and Astronomy, University of Sheffield, Sheffield S10 2TN, UK. (2003), and the Taiwan-American Occultation Survey (Chen 2002) 4 Department of Physics, University of Warwick, Coventry CV4 7AL, UK. experiment will automatically monitor thousands of stars to search 5 National Research Council of Canada, Victoria, BC V9E 2E9, Canada. for occultations by intervening KBOs. 6 Department of Physics and Astronomy, McMaster University, Hamilton, ON L8S 4M1, Canada. 2. PRINCIPLE OF THE OCCULTATION TECHNIQUE 7 Astronomical Observatory of Kharkiv National University, 61022 Kharkiv, Ukraine. The principle of stellar occultation is to record the stellar flux 8 School of Mathematics and Physics, Queens University Belfast, Belfast during the transit of an occulting object. Occultation by a KBO is BT7 1NN, Northern Ireland, UK. a rapid phenomenon involving Fresnel diffraction. The detection 9 Observatoire de Besanc¸on, BP 1615, 25010 Besanc¸on Cedex, France. of KBOs by occultation depends on various parameters. 10 Grupo de Astrofı´sicada, Universidade de Coimbra and Observato´rio de Coimbra, Largo D. Dinis, 3001-454 Coimbra, Portugal. The direction of observation modifies the transverse velocity v À1/2 11 Istituto Nazionale di Astrofisica, Osservatorio Astrofisico di Arcetri, Largo of the KBO with respect to the star: v ¼ vE½cos (!) À R , Enrico Fermi 5, I-50125 Florence, Italy. where vE is the Earth’s velocity, ! is the angle from opposition to 819 820 ROQUES ET AL. Vol. 132 TABLE 1 Characteristics of the Occulted Stars V Apparent Radius at 40 AU Ecliptic Longitude Ecliptic Latitude Field Star (mag) B À V (m) (deg) (deg) Field 1 ................................ TYC 281-906 12.10 À0.28 <100 183.5 +2.9 TYC 281-864 12.15 À0.16 <250 183.5 +2.9 Field 2 ................................ TYC 6172-1103 11.81 À0.04 <270 227.0 À0.4 TYC 6172-1154 12.70 À0.27 <90 227.0 À0.4 Field 3 ................................ TYC 6821-1317 12.25 À0.41 <100 254.8 À7.1 TYC 6821 1425 12.40 À0.32 <100 254.8 À7.1 Notes.—The apparent radius is deduced from the visual magnitude and the spectral class (B À V ). This is a maximum value since the reddening has not been taken into account. the line of sight, and R is the radius of the KBO’s orbit in AU. ing two main-sequence O stars of approximately equal brightness, The probability of occultation is proportional to v, but the occul- selected from the Tycho catalogue (Hog et al. 2000; Table 1). tation’s duration is inversely proportional to this velocity. At oppo- The stars were chosen to ensure a small angular diameter, which sition, the velocity and the occultation rate are maximum, but the is a prerequisite to obtain diffraction fringes. A total of 1.9 mil- occultation duration is minimum. At quadrature, defined by cos lion frames were obtained on the nights of 2004 April 29 and (!) ¼ RÀ1/2, the velocity of the KBO is minimum. May 2, simultaneously in the g0 (0.48 m) and i0 (0.77 m) Sloan The angular size of the star is a critical parameter because the Digital Sky Survey filters (Fukugita et al. 1996). occultation profile is smoothed over the stellar disk. A stellar radius of 1 mas corresponds to a projected radius at 40 AU of 30 km. 3.2. Data Reduction Occultation of such stars by a subkilometer KBO does not gen- Data reduction was carried out using the ULTRACAM pipe- erate a detectable decrease of the stellar flux. Consequently, the line data reduction software. After debiasing and flat-fielding the search for small objects needs carefully chosen target stars. They images, source fluxes were extracted by summing the counts in a must have a small angular diameter but be bright enough to give circular aperture centered on each target star and subtracting a a good signal-to-noise (S/N) ratio.