Visible and near-infrared lightcurves of eight asteroids

B lightcurves are presented for seven asteroids (4, 20, 29, 31, 39, 115, and 349) together with visual and infrared color curves (BV, BK, VJ, and JK). A V broadband lightcurve for 40 Harmonia is also included. Color variations are observed for three asteroids (4, 31, and 115). The variation in the colors of 4 Vesta is discussed in terms of differences in surface composition. Pole positions and shapes are estimated for 20 Massalia, 29 Amphitrite, 31 Euphrosyne, and 39 Laetitia. Various UBVRIJHK colors are listed for these asteroids as well as for 5, 19, 44, 52, 83, 145, 386, and 471.     

Photometric lightcurves of 21 asteroids

Forty-three lightcurves of 21 asteroids obtained in Arizona between 1968 and 1978 are presented with a brief discussion of each. Included are four asteroids not previously observed: 34 Circe, 138 Tolosa, 162 Laurentia, and 1058 Grubba. Rotation periods are at least 12 hr for Circe, either 6.42 or 12.98 hrs for Laurentia, and more than 18 hr for Grubba. Magnitudes and colors for 12 of the asteroids are given. It appears that 10 Hygiea has lightcurves which sometimes have two maxima per rotation cycle and sometimes three. A strong relation between amplitude and solar phase angle is seen for 39 Laetitia. The first direct evidence of an opposition effect for 89 Julia is given. 511 Davida is discussed in an effort to understand the pole orientation using photometric astrometry.     

Photoelectric photometry and rotation periods of the asteroids 26 Proserpina, 194 Prokne, 287 Nephthys,and 554 Peraga

We present the photoelectric observations of the asteroids 26 Proserpina, 194 Prokne, 287 Nephthys, and 554 Peraga, performed in the years 1977–1978 at the Astronomical Observatory of Torino. The resulting synodic rotation periods are, for Proserpina, 13^h13; Prokne, 15^h67; and Peraga, 13^h63. The period of Nephthys is possibly ～7^h or the double. A tentative value for the phase coefficient of Peraga was found: 0.043 mag/degree.     

Modeling of lightcurves of binary asteroids

We present a numerical method for inverting long-period components of lightcurves of asynchronous binary asteroids. Data of five near-Earth binary asteroids, (175706) 1996 FG₃, (65803) Didymos, (66391) 1999 KW₄, (185851) 2000 DP₁₀₇ and (66063) 1998 RO₁, for two of them from more than one apparition, were inverted. Their mutual orbits' poles and Keplerian elements, size ratios, and ellipsoidal shape axial ratios were estimated via this inversion. The pole solutions and size ratios for 1999 KW₄ and 2000 DP₁₀₇ are in a good agreement with independent estimates from radar measurements. We show that uncertainties of estimates of bulk densities of binary systems can be large, especially when observed on short arcs.     

Photoelectric lightcurves of the asteroid 1862 Apollo

Photoelectric lightcurves of the asteroid 1862 Apollo were obtained in November–December 1980 and in April–May 1982. The period of rotation is unambiguously determined to be 3.0655 ± 0.0008 hr. The 1980 observations span a range of solar phase angle from 30° to 90°, and the 1982 observations, 0.°2 to 90°. The Lumme-Bowell-Harris phase relation can be fit to the absolute magnitudes at maximum light with an RMS scatter of 0.06 magnitude over the entire range of phase angle. The constants of the solution are absolute V magnitude at zero phase angle and at maximum light, 16.23 ± 0.02; slope parameter, 0.23 ± 0.01. These constant corresponds to values in the linear phase coefficient system of V(1, 0) = 16.50 ± 0.02 and a phase coefficient of β_v = 0.0305 ± 0.0012 mag/degree in the phase range 10°–20°. The slope of the phase curve is typical for a moderate albedo asteroid. The absolute magnitudes observed in 1980 and 1982 fall along a common phase curve. That is, Apollo was not intrinsically brighter at one apparition than the other. This is not surprising, since the two apparitions were almost exactly opposite one another in the sky. A pole position was calculated from the observed deviation of the lightcurve from constant periodicity (synodic-sidereal difference) during both apparitions. The computed 1950 ecliptic coordinates of the pole are: longitude = 56°, latitude = −26°. This is the “north” pole with respect to right-handed (counter-clockwise) rotation. The formal uncertainty of the solution for the pole position is less than 10°, but realistically may be several times that, or even completely wrong. The sidereal period of rotation asscociated with this pole solution is 3.065436 ± 0.000012 hr.     

Rotational lightcurves of asteroids belonging to families

Complete lightcurves of 17 asteroids belonging to the Themis, Eos, and Maria families have been obtained, as well as single-night photometric observations of eight objects belonging to the same families. Using also data previously available in the literature, we perform a preliminary statistical analysis aimed at detecting possible correlations between rotational periods, overall lightcurve amplitudes, and objetcs' sizes. No evident correlation was found, with the possible exception of a weak anticorrelation between size and spin period. The implications of this possible anticorrelation are discussed.     

Photoelectric lightcurves of asteroid 433 Eros

Photoelectric observations of the asteroid 433 Eros were carried out with the 50-cm reflector of the Astronomical Observatory of the University of Cluj-Napoca on January 21 and February 4 and 5, 1975.     

Peculiar shapes of asteroids: Implications for light curves and periods of rotation

This paper presents some simple geometrical models of asteroids with theoretical light curves similar to the observed ones. In some cases the results suggest rotation periods to be double those one can obtain adopting two- or three-axial ellipsoids as models.A possible model, not in terms of a binary system, for asteroids with light curves like those of eclipsing binary stars, is also given.It should be stressed that the models studied in this paper are probably not very similar to real asteroids, but the principal conclusions should not be changed when more sophisticated models are considered.The work is to be a starting point for future researches on laboratory models of asteroids, in order to define, in a quantitative way, how the light curves are affected by the surface roughness and/or the large scale irregularities of the shape of an asteroid.     

Submillimeter photometry and lightcurves of Ceres and other large asteroids

Photometry and thermal lightcurves of six large asteroids (1-Ceres, 2-Pallas, 3-Juno, 12-Victoria, 85-Io and 511-Davida) have been observed at 870 μm (345 GHz) using the MPIfR 19-Channel Bolometer of the Heinrich-Hertz Submillimeter Telescope. Only Ceres displayed a lightcurve with an amplitude (∼50%, peak to peak) that was significantly greater than the uncertainty in the observations. When thermal fluxes and brightness temperatures are corrected for heliocentric distance and albedo, there is a significant relation with the sub-solar latitude of the asteroid, or the local season of the asteroid. No such trend can be found between observations with solar phase angle. These results are evidence that most of the submillimeter thermal radiation is emitted from below the diurnal thermal wave. Comparing the observed trend with model output suggests that the submillimeter radiation from all the asteroids we observed is best modeled by surface material with low thermal inertia (<15 J m⁻² s^−0.5 K⁻¹, consistent with mid-infrared observations of large main-belt asteroids) and a refractive index closer to unity relative to densities inferred from radar experiments, implying a veneer of material over the asteroid surface with a density less than 1000 kg m⁻³. More data with better signal-to-noise and aspect coverage could improve these models and constrain physical properties of asteroid surface materials. This would also allow asteroids to be used as calibration sources with accurately known and stable, broadband fluxes at long wavelengths.     

Photoelectric photometry of 21 asteroids

Photoelectric lightcurves of 21 asteroids are presented. The observations were carried out from 1978 to 1982 at the Astronomical Observatory of Torino (at the Astrophysical Observatory of Catania for 137 Meliboea). For 10 objects a reliable rotation period has been obtained, while for two others a rough estimate is given. In several cases the analysis of the observed amplitudes versus the ecliptic longitudes indicates the most favorable future oppositions for period and/or pole determination. For some asteroids transformations to UBV Standard System were performed.     

B and V lightcurves and pole positions of three S-class asteroids

B. anb V lightcurves have been obtained for three S-class asteroids—29 Amphitrite, 39 Laetitia, and 43 Ariadne. Pole positions and shapes for each of these asteroids are derived, and comments on small features present in their lightcurves are made. A small color variation for 39 Laetitia is also found.     

Photoelectric photometry of 17 asteroids

Seventeen asteroids were observed photoelectrically in the V band at the Torino Observatory in 1983–1984 as part of the coordinated campaign for pole determinations. The obtained lightcurves allowed us to deduce new pole coordinates of four objects, while for the other three a check of previous results was possible. Additionally, the ambiguity for the rotation period of 776 Berbericia was solved in favor of a shorter value, and the importance of this problem was evidenced once more after analyzing the lightcurves of 69 Hesperia and 349 Dembowska. A new possible value of the period of 121 Hermione was also suggested.     

Photoelectric photometry of 14 asteroids

Results of observations of 14 asteroids are reported; all of them, except 181 Eucharis, have been previously observed at least once. V photoelectric lightcurves were obtained from September 1982 to June 1983 at the Astronomical Observatory of Torino and at the Astrophysical Observatory of Catania. Part of this program aims to obtain complete lightcurves and, when possible, phasecurve information and to determine amplitudes and V magnitudes at different longitudes for a selected group of asteriods, in order to enlarge the set of known rotational axis directions.     

Photoelectric lightcurves of asteroids 42 Isis, 45 Eugenia, 56 Melete, 103 Hera, 532 Herculina,and 558 Carmen

Photoelectric observations of six asteroids are presented. The following synodic periods of rotation and amplitudes of variation are reported: 42 Isis, P = 13^h.59, Δm = 0.32; 45 Eugenia, P = 5^h.70, Δm = 0.30; 56 Melete, P = 13^h.7 or 19^h.0, Δm = 0.06; 532 Herculina, P = 9^h.408, Δm = 0.15; 558 Carmen, P ≈ 10^h, Δm ≈ 0.25. The asteroid 103 Hera exhibited no periodic variation in excess of about 0.03 magnitude. The period found for 532 Herculina is one half that previously reported by other observers.     

The dependence of asteroid lightcurves on the orientation parameters and the shapes of asteroids

The dependence of asteroidal light curves has been derived from the obliquity, aspect and phase angles. The effects of an angle variation are discussed taking into account the possible geometry of an asteroidal body.The amplitude-aspect relation is discussed for different asteroidal shapes.On the basis of this relation a graphical attempt to determine the value of the aspect from the light curves' amplitude is described.     

The axial rotation of asteroids

The observed fact that light changes of the asteroids exhibit no beat periods is interpreted as an indication that they do not wobble in space like spinning tops, but spin about only one axis (possibly — but not necessarily — inclined but little to the plane of their orbits). Since, moreover, the damping of three-dimensional rotation by jovi-solar attraction would require a time which is long in comparison with the age of the solar system, it is concluded that the present uni-axial rotation must represent a property preserved from the time when the asteroids were formed. This would seem to testify against their origin by collisional fragmentation of larger bodies; for in such a case the resulting solid splinters would still today be characterized by a random distribution of their angular momenta in three dimensions.The writer owes this assurance to Dr. Thomas Gehrels (private information).     

Physical study of asteroids: Ligthcurves and rotational periods of six asteroids

V band photoelectric lightcurves and rotational periods are presented for six asteroids: 150 Nuwa, 203 Pompeja, 336 Lacaderia, 545 Messalina, 984 Gretia, and 1240 Fantasia. Except for 984 Gretia, none of these asteroids has been previously observed. The observations were obtained during September 1983 at the Astrophysical Observatory of Catania and are part of a program devoted to increase the present data set of asteroids' rotational properties. For 336 Lacaderia and 984 Gretia the magnitude-phase relations, in terms ofQ_v and β_v, were also obtained.     

The rotation of small asteroids

The addition of the unbiased sample of R. P. Binzel and J. D. Mulholland (Icarus56, 519–533) nearly triples the sample size of photoelectrically determined rotational parameters for main belt asteroids with estimated diameters (D) ≤30 km. Nonparametric stattistical tests which require no assumptions about the distributions or variances of the samples are used to examine rotational parameters for all D ≤ 30 km asteroids. A comparison of photoelectric and photographic results shows that the techniques have a highly significant difference in the range of detected frequencies. This difference does not allow photographic and photoelectric observations to be combined for meaningful statistical tests since a photographic bias toward smaller sample variances can induce statistical results that appear overly significant. Photographic observations also show a highly significant bias toward detecting asteroids with larger lightcurve amplitudes. The fit of a Maxwellian to the observed rotational frequency distribution can be rejected at a highly significant confidence level but the observed distribution can be acceptably fit by two Maxwellian distributions, which is consistent with the hypothesis that there are separate populations of slow and fast rotating asteroids. The frequency distributions of <15 km main belt asteroids and Earth and Mars crossers are not found to differ significantly. However, the larger mean lightcurve amplitude of the Earth and Mars crossing asteroids is found to be statistically significant. This latter result is interesting in view of the lack of any strong inverse amplitude versus diameter relation for small asteroids. No significant diameter dependence on rotational frequency is seen among only D ≤ 30 km asteroids. However, the inverse frequency versus diameter relation for D ≤ 120 km asteroids found by S. F. Dermott, A. W. Harris, and C. D. Murray (Icarus, in press) is found to be statistically significant using a linear least-squares analysis of photoelectric data only. No significant diameter dependence on rotational lightcurve amplitude is seen using linear least-squares analysis of photoelectric data for D≤30 and D≤90 km asteroids. However, a significant inverse amplitude versus diameter relation is found when this analysis is extended to D≤120 km asteroids. This finding may be consistent with the hypothesis of Dermott et al. that near 120 km there is a transition between primordial asteroids and their collisional fragments.     

Physical studies of asteroids. X. Photoelectric light curves of the asteroids 219 and 512

Composite light curves are presented for the asteroids 219 Thusnelda and 512 Tarinensis. Rotation periods of 1 _. ^d 24 and 0 _. ^d 2326 were derived for the two asteroids, respectively.UBV-colours are presented for the asteroids 147, 219, 317, and 512.Based on observations collected at the European Southern Observatory, La Silla, Chile     

Photoelectric photometry of asteroids 33 Polyhymnia and 386 Siegena

Photometric parameters of the asteroids 33 Polyhymnia and 386 Siegena were obtained during an international campaign performed at three observatoroes: Table Mountain Observatory (A. W. Harris), European Southern Observatory (ESO; C.-I. Lagerkvist), and Catania Astrophysical Observatory (V. Zappalá and F. Scaltriti). The photoelectric observations were carried out in the period August 15–September 14, 1980.The rotational periods and amplitudes observed are: $\text{P}{}_{\mathrm{<mtext>syn</mtext>}}\text{= 9}{}^{\mathrm{<mtext>h</mtext><mtext>dot</mtext>}}\text{763 ± 0}{}^{\mathrm{<mtext>h</mtext><mtext>dot</mtext>}}\text{,}\text{Ampl.}\text{= 0}{}^{\mathrm{<mtext>m</mtext><mtext>dot</mtext>}}\text{11 ± 0}{}^{\mathrm{<mtext>m</mtext><mtext>dot</mtext>}}\text{01}$ for Siegena and $\text{P}{}_{\mathrm{<mtext>syn</mtext>}}\text{= 18}{}^{\mathrm{<mtext>h</mtext><mtext>dot</mtext>}}\text{601 ± 0}{}^{\mathrm{<mtext>h</mtext><mtext>dot</mtext>}}\text{004,}\text{Ampl.}\text{= 0}{}^{\mathrm{<mtext>m</mtext><mtext>dot</mtext>}}\text{14}\text{(near opposotion) and Ampl.}\text{= 0}{}^{\mathrm{<mtext>m</mtext><mtext>dot</mtext>}}\text{17 ± 0}{}^{\mathrm{<mtext>m</mtext><mtext>dot</mtext>}}\text{01}$ (at ～10° phase angle) for 33 Polyhymnia.The multiple-scattering factor Q [as defined by K. Lumme and E. Bowell, Astron. J.86, 1694–1704, 1705–1721 (1981a,b)] is found to be 0.15 ± 0.06 for 386 and 0.26 ± 0.03 for 33, implying higher albedos in each case than expected according to their taxonomic classes, C and S, respectively [E. Bowell, T. Gehrels, and B. Zellner, in Asteroids, pp. 1108–1129, Univ. of Arizona Press, Tucson (1979)].The color indices B - V and U - B, were measured and found to differ significantly from those given by Bowell et al.. Our values are, for 386, B - V = 0.71 and U - B = 0.36; and for 33, B - V = 0.81 and U - B = 0.39.