© ESO, 2011

1. Introduction

Vesta is the most massive asteroid in the main belt (considering that Ceres has been classified as a dwarf planet) orbiting the Sun at a distance of about 2.36 AU. From HST images, Thomas et al. (1997a) derived a Vesta shape fit by an ellipsoid with semi-axes of 289, 280, 229 ( ± 5) km, and J2000 pole coordinates RA = 308  ±  10°, Dec = 48  ±  10°, which was more recently updated to RA = 305.8  ±  3.1°, Dec = 41.4  ±  1.5° (Li et al. 2011a). These HST data were also analysed to uncover a large (460 km wide) basin near the south pole with a pronounced central peak of 13 km, together with other depressions and large craters (Thomas et al. 1997b). The discovery of substantial impact excavation on Vesta is consistent with the idea that this asteroid is the source of HED meteorites. Several “Vestoids”, i.e. asteroids with spectral properties and orbital parameters similar to Vesta, have also been discovered. They have therefore probably been caused by impact events on Vesta.

Vesta is large enough to have experienced a differentiation phase during its accretion and is the only large asteroid known to have a basaltic surface that retains a record of ancient volcanic activity (McCord et al. 1970; Gaffey et al. 1997). Geological diversity revealing longitudinal variations in albedo and mineralogy was detected from polarimetric and spectroscopic measurements obtained at different rotational phases (Gaffey 1997; Binzel et al. 1997; Li et al. 2010).

Vesta is the first target of the NASA Dawn mission, that just entered orbit around the asteroid in July 2011 and will remain in orbit for one complete year, undertaking a detailed study of its geophysics, mineralogy, and geochemistry (Russell et al. 2007; Sierks et al. 2011).

In this paper we report on observations of Vesta obtained with the scientific optical camera system OSIRIS onboard Rosetta. One new lightcurve taken at an unprecedented large phase angle (52°) has been obtained together with spectrophotometry from 260 to 990 nm. These data, taken at a nearly equatorial aspect, allow us to more tightly constrain the Vesta phase function, to provide the absolute reflectance from the UV to the NIR range at large phase angle, and to estimate the geometric albedo.

2. Observations and data reduction

OSIRIS is the imaging system onboard Rosetta mission. It consists of a narrow-angle camera (NAC, field of view of 2  ×  2°) and a wide-angle camera (WAC, field of view of 12  ×  12°). They are unobstructed mirror systems with focal lengths of 72 cm and 14 cm, respectively. Both cameras are equipped with 2048  ×  2048 pixel CCD detectors with a pixel size of 13.5 μm. The image scale is 3.9 arcsec/pixel for the NAC and 20.5 arcsec/pixel for the WAC. The cameras have a set of broadband and narrowband filters covering the wavelength range 240 − 990 nm. We refer to Keller et al. (2007) for a detailed description of the instrument.

During its approach to asteroid 21 Lutetia, which was successfully flown by on 10 July 2010, Rosetta observed the asteroid 4 Vesta on 1 May 2010 for a total duration of 10.8 h. These observations included lightcurve coverage with the two “red” filters of the cameras (the NAC filter F22 centred at 649.2 nm, and the WAC filter F12, centred at 629.8 nm), and a spectrophotometric sequence including 12 NAC filters and 9 WAC filters, covering the wavelength range 269 − 989 nm (Table 1). The observations were made at a spacecraft-target distance 0.285879 < Δ < 0.283682 AU, at a Vesta heliocentric distance of 2.324 AU, and at a phase angle 52.1 < α < 52.8°, the largest one covered up to date, before the DAWN encounter. Vesta was observed at equatorial aspect, at a sub-spacecraft latitude of 3.0−2.7°, and was not resolved (resolution of 800 km/px and 4000 km/px with the NAC and WAC cameras, respectively).

The data were reduced using the OSIRIS standard pipeline, but the flux calibration was done using revised values of the conversion factors that had been recently computed. The data reduction steps are the same as those described in Küppers et al. (2007). The data are converted from digital units to W   m^-2   nm^-1   sr^-1, using conversion factors derived from observations of Vega taken on 1 May 2010 and 12 July 2010. These factors were reduced to a solar input spectrum. The absolute calibration factors were computed using the Vega (alpha_lyr_stis_005.ascii) and sun flux (sun_reference_stis_001.ascii) standard spectra from the HST CALSPEC catalogue¹.

The Vesta flux was calculated from the images using aperture photometry with an aperture radius of five (WAC) and six (NAC) pixels. These radii allow us to acquire more than 99% of the target flux and to minimize the background contribution and cosmic ray hits. Aperture correction factors were derived from the high signal-to-noise ratio observations of Vega and the fluxes were divided by 0.992446 for the WAC and 0.992918 for the NAC observations to get the total flux (estimated from Vega growth curves for an aperture of 15 px). The background was evaluated in four rectangular regions around the target and then subtracted from the total flux.

3. Lightcurve and phase function

We used the 44 WAC and NAC images in the red filters to build the Vesta lightcurve. To derive the absolute magnitude at the observed phase angle, we follow the method described by Küppers et al. (2007). We first corrected the Vesta flux by considering its spectrum, which is redder than that of the sun, using: ${\mathit{F}}_{\mathrm{c}}\mathrm{=}{\mathit{F}}_{\mathrm{o}}\mathrm{\times }\frac{{\mathrm{\int }}_{\mathit{\lambda }}{\mathit{F}}_{\mathrm{\odot }}\mathrm{\left(}\mathit{\lambda }\mathrm{\right)}\mathit{T}\mathrm{\left(}\mathit{\lambda }\mathrm{\right)}\mathrm{d}\mathit{\lambda }}{{\mathrm{\int }}_{\mathit{\lambda }}{\mathit{F}}_{\mathrm{Vesta}}\mathrm{\left(}\mathit{\lambda }\mathrm{\right)}\mathit{T}\mathrm{\left(}\mathit{\lambda }\mathrm{\right)}\mathrm{d}\mathit{\lambda }}\mathit{,}$(1)where F_c and F_o are the corrected and uncorrected Vesta fluxes at a given central filter wavelength λ_c, T(λ) is the system throughput (telescope optics and CCD quantum efficiency), F_⊙(λ) and F_Vesta(λ) are solar (from HST catalogue) and Vesta spectra (from Xu et al. 1995), respectively, both normalized to unity at the λ_c of the considered filter.

The absolute magnitude R(1, 1, α) reduced to the R-Bessel filter was finally computed, and we derived a mean value of 4.485  ±  0.003. The data were phase corrected to α = 52.26° using the HG phase function with g = 0.27, as described later in the paper. The results are shown in Fig. 1 and reported in Table 2. The lightcurve is single peaked, consistent with an albedo driven behaviour. Its amplitude is 0.19  ±  0.01, the largest one observed so far for Vesta as a consequence of the well-known amplitude-phase effect (Zappalá et al. 1995).

The Vesta time-series were modelled with a ninth order Fourier polynomial (Harris et al. 1989), whose best-fit relation corresponded to a synodic rotation period (P_syn) of 5.355  ±  0.025 h. The relatively large error is related to the limited time-span of the Rosetta observations. The data folded with the best-fit period are shown in Fig. 1. The Rosetta P_syn is slightly longer, but still compatible within the error bars, than the very precise value of the sidereal period (5.34212971  ±  0.00000096 h) derived by Drummond et al. (1998).

Fig. 1 The lightcurve of asteroid 4 Vesta from OSIRIS observations. The arrow show the rotational phase corresponding to the spectrophotometric data set acquisition. Points beyond rotational phase 1.0 are repeated for clarity. F12 and F22 are the red filters of the WAC and NAC cameras, respectively.

Fig. 2 Phase curve of asteroid 4 Vesta. Beside the Rosetta point, data come from the Asteroid Photometric Catalogue (Lagerkvist et al. 1995) and from Hasegawa et al. (2009). The dashed-line represents the linear fit to the data.

The Rosetta observations, taken at a large phase angle, are important to constrain the Vesta phase function. We compiled the asteroid phase curve in R band (Fig. 2) combining the Rosetta data with those coming from the Asteroid Photometry Catalogue (APC, V filter) dataset (Lagerkvist et al. 1995), and from Hasegawa et al. (2009, R filter). We used a V − R colour index of 0.385, derived from a Vesta visual spectrum (Xu et al. 1995) to combine the visual magnitude from the APC with the other data. We take the mean value from each individual data set of observations from Hasegawa et al. (2009). The data correspond to very different Vesta aspects, which causes considerable scatter in the data (Fig. 2). The H − G function (Bowell et al. 1989) that most closely fits the data gives an H_R = 2.80  ±  0.01 and G = 0.27  ±  0.01. Our G value, well-constrained by the Rosetta point at α = 52°, is in-between the previous estimates of Lagerkvisk et al. (1990, G = 0.33 in V filter) and Hasegawa et al. (2009, G = 0.21 in R filter). Vesta displays a high opposition effect: its linear slope (calculated for α > 7°) is 0.02654 mag/° and the magnitude from the linear slope (thereby excluding the opposition effect) is R_lin = 3.12. The Vesta linear slope and opposition surge values are comparable with those of S-type asteroids (Belskaya & Shevchenko 1999). The new H and G values can be used to estimate the Vesta albedo (see following section) and its flux at large phase angles.

4. Spectrophotometry

A spectrophotometric sequence including 12 NAC filters and 9 WAC filters, covering the wavelength range 269−989 nm, was acquired at a sub-spacecraft latitude of 2.8° and a sub-spacecraft longitude of 205−221° (the longitude and latitude were calculated from the Rosetta spice kernels following the IAU convention, that is longitude increasing in the East direction). Rosetta looked then mostly at the western hemisphere. The details of these observations together with the absolute reflectance value at a phase angle of 52.4° are reported in Table 1. The absolute reflectance (F_Abs) was computed for each filter as follows ${\mathit{F}}_{\mathrm{Abs}}\mathrm{(}\mathit{\alpha }\mathrm{=}{\mathrm{52.4}}^{\mathrm{◦}}\mathrm{)}\mathrm{=}\frac{{\mathit{F}}_{\mathrm{V}}\mathrm{\times }{\mathit{R}}_{\mathrm{\odot }}^{\mathrm{2}}\mathrm{\times }{\mathrm{\Delta }}^{\mathrm{2}}}{{\mathit{r}}_{\mathrm{V}}^{\mathrm{2}}\mathrm{\ast }{\mathit{F}}_{\mathrm{\odot }}}\mathit{,}$(2)where F_V is the Vesta flux expressed in W/m²/nm, R_⊙ is the heliocentric distance of Vesta at the time of observation (2.3241538 AU), Δ the distance between Rosetta and the target (in AU), r_V the Vesta radius (260 km, estimated from the Vesta cross-section area at the Rosetta observing conditions using the Thomas et al. (1997a) shape model), and F_⊙ is the solar flux (in W/m²/nm) through a given filter.

We can estimate the geometric albedo multiplying the absolute reflectance by a phase correction factor derived from the phase function (G = 0.27). With this method, we find a geometric albedo of 0.36  ±  0.02 at 649 nm. In Table 1, we report the geometric albedo estimated for all the Rosetta observations, assuming the same phase function for the different wavelengths. These values must be interpreted with caution for the UV and NIR regions, as we do not know the wavelength dependence of the phase curve.

Tedesco et al. (2002) reported a geometric albedo of 0.42  ±  0.05 at visible wavelength from IRAS data. However, they used a diameter value of 468 km, which is smaller than that estimated from HST images (Thomas et al. 1997a). Using Thomas’ et al. size, their geometric albedo would be 0.34 (Li et al. 2011b), in perfect agreement with the Rosetta one.

Fig. 3 Spectrophotometry of 4 Vesta from the WAC and NAC cameras of the OSIRIS imaging system. For comparison, a ground-based spectrum taken from the SMASS survey is shown (Xu et al. 1995). In the UV, data come from the IUE telescope: in blue the LWP 18955 observation, in black the LWP 18952 one (Hendrix et al. 2003).

The Osiris spectrophotometry of Vesta is shown in Fig. 3. For comparison, we present a visual spectrum from the SMASS survey (Xu et al. 1995, spectrum resulting from the mean of three separate observations taken at sub-Earth lat. 24 − 38°), scaled to the Rosetta absolute reflectance at 535 nm, and two UV spectra from IUE observations (Hendrix et al. 2003), scaled to the same phase angle of the Rosetta observations with our phase function parameters. The IUE observations correspond to the sets LWP 18952 and LWP 18955 that Hendrix et al. related to the eastern and western hemispheres, respectively. Hendrix et al. (2003) claim to have detected evidence of Vesta’s spectral reversal, that is regions that are brighter in the visible range (Vesta eastern hem.) seem to be darker in the UV range. We recalculated the sub-Earth longitude (λ_subE) of the IUE observations with the IMCCE ephemeris server² finding λ_subE = 277° for the LWP 18952 set, corresponding to the western hemisphere, and λ_subE = 133° for the LWP 18955, corresponding to the eastern hemisphere, opposite to the Hendrix et al. (2003) results. As shown in Fig. 3, the Rosetta data, taken in the western hemisphere, are in good agreement with the SMASS spectrum and close to the IUE LWP 18952 observation, which also seems to fall in the western hemisphere according to the revisited λ_subE. The Rosetta data, taken from UV to NIR almost simultaneously, are inconsistent with the UV spectral reversal. Analysing UV data from HST and Swift telescopes and combining them with V+NIR data, also Li et al. (2011) conclude that there is no global ultraviolet/visible reversal on Vesta, implying lack of global space weathering.

The band-pass of the NIR filters is too broad to determine a meaningful mineralogical characterisation from the absorption-band position and depth in the 0.9 micron region. We refer the reader to the works, for example, of Gaffey et al. (1997), Binzel et al. (1997), Burbine et al. (2001), and Reddy et al. (2010) for the mineralogical interpretation of Vesta. We attempt to characterize the observed Vesta spectrum by looking for meteorite analogues from the RELAB database. It is well-known that Vesta is associated with the basaltic achondrites howardite, eucrite, and diogenite (HED) (Clayton & Mayeda 1983; McSween et al. 2011). These meteorites are the equivalent of terrestrial magmatic rocks, and their igneous appearance proves the existence of magmatic activity on their parent body very early in the evolution of the Solar System (McSween 1989). The spectra of individual HED meteorites are quite diverse in both terms of spectral slope and 0.9 − 1 μm and 2 μm absorption bands centre and depth, even for similar grain sizes (Burbine et al. 2001; Hiroi et al. 1994). This is directly linked to meteorite mineralogy as reported by Pieters et al. (2006).

Fig. 4 Spectrophotometry of 4 Vesta from OSIRIS imaging system with the best meteorite analogues found.

We find that the Rosetta spectrophotometric data are close to the spectral behavior of fine-grained powder samples (grain size  < 25 μm) of howardite meteorites (Fig. 4). A geographical mixture obtained with 50% of EET87503 and 50% of EET87513 howardites, both from Elephant Moraine (Antarctica), shows a very good match to the Rosetta data in the 260 − 850 nm region, but has a slightly larger 0.93 μm depth. This mixture has an albedo of 0.36 at 535 nm, compatible with the estimated Vesta geometric albedo. Additional components, which must also be constrained using Vesta data in the NIR range, are needed to improve the spectral match. Our meteorite match confirms the results previously found by Hiroi et al. (1994), suggesting that Vesta’s surface must be covered by relatively fine-grained basaltic materials.

5. Conclusions

We have analysed Rosetta data of asteroid Vesta taken at a phase angle of  ~52° to extend and more tightly constrain its phase function. Using the H − G formalism, we have found a G parameter value of 0.27  ±  0.01 and an absolute magnitude H(R) = 2.80  ±  0.01. The new lightcurve has the largest amplitude ever seen for this object. The Rosetta absolute reflectance obtained in 19 filters covering the near UV up to the near IR region does not support the previously reported spectral reversal suggested by Hendrix et al. (2003). The Rosetta data are well-matched from the UV region up to about 850 nm by a mixture of two howardite fine-grained powder samples. This mixture has an albedo similar to that of Vesta but a deeper 0.93 μm band.

We have estimated from our absolute reflectance at α = 52° and the phase function a Vesta geometric albedo of 0.36  ±  0.02 at 649 nm and 0.34  ±  0.02 at 535 nm. This information will be very useful to the Dawn team in preparing their observations. These results attest to the excellent capabilities of the OSIRIS camera in terms of both scientific usefulness and technical performance.

Online material

Acknowledgments

S.F. thanks Dr. Li for helpful discussion and information exchange, and Dr. Hasegawa for proving his phase function data. OSIRIS was built by a consortium of the Max-Planck-Institut für Sonnensystemforschung, Katlenburg-Lindau, Germany, CISAS–University of Padova, Italy, the Laboratoire d’Astrophysique de Marseille, France, the Instituto de Astrofísica de Andalucia, CSIC, Granada, Spain, the Research and Scientific Support Department of the European Space Agency, Noordwijk, The Netherlands, the Instituto Nacional de Técnica Aeroespacial, Madrid, Spain, the Universidad Politéchnica de Madrid, Spain, the Department of Physics and Astronomy of Uppsala University, Sweden, and the Institut für Datentechnik und Kommunikationsnetze der Technischen Universität Braunschweig, Germany. The support of the national funding agencies of Germany (DLR), France (CNES), Italy (ASI), Spain (MEC), Sweden (SNSB), and the ESA Technical Directorate is gratefully acknowledged. This research utilizes spectra acquired with the NASA RELAB facility at Brown University.

References

All Tables

All Figures

	Fig. 1 The lightcurve of asteroid 4 Vesta from OSIRIS observations. The arrow show the rotational phase corresponding to the spectrophotometric data set acquisition. Points beyond rotational phase 1.0 are repeated for clarity. F12 and F22 are the red filters of the WAC and NAC cameras, respectively.
In the text

	Fig. 2 Phase curve of asteroid 4 Vesta. Beside the Rosetta point, data come from the Asteroid Photometric Catalogue (Lagerkvist et al. 1995) and from Hasegawa et al. (2009). The dashed-line represents the linear fit to the data.
In the text

	Fig. 3 Spectrophotometry of 4 Vesta from the WAC and NAC cameras of the OSIRIS imaging system. For comparison, a ground-based spectrum taken from the SMASS survey is shown (Xu et al. 1995). In the UV, data come from the IUE telescope: in blue the LWP 18955 observation, in black the LWP 18952 one (Hendrix et al. 2003).
In the text

	Fig. 4 Spectrophotometry of 4 Vesta from OSIRIS imaging system with the best meteorite analogues found.
In the text