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Observing Asteroids with CCD:Measuring some characteristics
with “backyard” instruments
Presented to:
Chagrin Valley Astronomical Society
September 3, 2011
By Ron Baker, CVAS member
Introduction:
CCD observations of asteroids by “backyard” astronomers can yield many characteristics including:
• Orbital elements• Rotational period• Absolute magnitude• Light scattering properties of the surface• Orientation of spin axis• Size & shape
All with telescopes in the 8 to 14 inch range and commonly available CCD cameras.
Main-belt asteroid 581 Tauntonia
FOV 12 X 8 arcmin, 120-sec exposure, mag 14.8V, 12-inch SCT, February 2010, IHO
Astrometry & PhotometryMeasuring the position and brightness of 581 Tauntonia
Reference stars from the CMC-14 catalog selected by Astrometrica.
Characteristics of Asteroids
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Characteristics of Asteroids
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Astrometry (from backyard observations)
Characteristics of Asteroids
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Astrometry (from backyard observations)Photometry (from backyard observations)
Characteristics of Asteroids
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Astrometry (from backyard observations)Photometry (from backyard observations)
Spectroscopy, Satellite Imaging, Radar (from professional observations)
Characteristics of Asteroids
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Astrometry (from backyard observations)Photometry (from backyard observations)
Spectroscopy, Satellite Imaging, Radar (from professional observations)Modeling (backyard and professional collaborations)
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Minor Planet Center (MPC)
• Operates with authority of IAU.
• MPC accepts observations from specially designated observatories. Official observatory code for IHO: [H75]
• Large scale surveys do most of the discovering now. Examples include Catalina Sky Survey, Linear & Wise.
• Follow up observations on newlydiscovered objects are critical.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Minor Planet Center (MPC)
• A set of 3 or more observations separated in time are needed to determine an initial set of orbital elements.
• Follow-up observations of new objects are needed several weeks after discovery to confirm the object’s existence and to improve the set of orbital elements.
• The MPC publishes lists of new objects needing confirmation. Some turn out to be Near Earth Objects (NEO) which cross the Earth’s orbit and are potentially hazardous, others are much more distant and pose no threat.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape1998 KN3, Stack of 48 images, 60-sec each, 12-inch SCT, March 2010, IHO
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape1998 KN3, Stack of 48 images, 60-sec each, 12-inch SCT, March 2010, IHO
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Apollo NEO 88254 (2001 FM129)Potentially Hazardous Asteroid (PHA)
Discovered March 2001 by the Linear Survey
64 exp, unfiltered, 8-sec each, 12-inch SCT, mag 14, March 2010, IHO
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Apollo NEO 88254 (2001 FM129)Potentially Hazardous Asteroid (PHA)
Discovered March 2001 by the Linear Survey
Graphic from JPL’s Small-Body Database Browser
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Long Period Comet C2010 F1 (Boattini)Discovered February 2010 by the Catalina Sky Survey
24 exp, unfiltered, 120-sec each, 12-inch SCT, mag 19, March 2010, IHO
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Long Period Comet C2010 F1 (Boattini)Discovered February 2010 by the Catalina Sky Survey
Graphic from JPL’s Small-Body Database Browser
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Major asteroid families
• Main Belt asteroidsSemi-major axis 2-3 AU (between Mars & Jupiter).More than 500,000 known to exist.
• Near-Earth objectsCross Earth orbitApollo, Aten, AmorNearly 7,500 are known at present time.
• TrojansOccupies an orbit similar to a planet.Gravitationally locked before/after a planet.Most are associated with Jupiter, but also Neptune and Mars. The first Earth Trojan was recently discovered.
• Trans-Neptunian and Kuiper Belt objectsMany sub-classes, semi-major axis 30 AU to 500+ AU
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Atiras 1Atens 672Apollos 3,770Amors 3,022Hungarias 10,102Phocaeas 11,632Mars-Crossers 7,184Main-Belt 527,886Hildas 3,308Jupiter Trojans 5,073Centaurs 227Plutinos 241Classical TNOs 882Other TNOs 35Scattered-Disk Objects 169
Family Census DataFrom the Minor Planet Center (September 2011)
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Rotational period is the time required for the
asteroid to make one complete rotation about its
own axis in relation to the Earth.
• Asteroids have irregular shapes. During rotation,
the asteroid presents a varying surface area to our
line of sight.
• The period and amplitude is determined from a
lightcurve, which is built by plotting observations
obtained in a time series of images. There is
usually no need to place the instrumental
magnitudes on a standard magnitude system.
• When observations are made on succeeding
nights, the lightcurve plot must be phased.
Phased plots are usually bi-modal.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
A collaborative observing campaign was formed in the fall of 2010 to study asteroid 1082 Pirola. The results of the project are used here to describe how photometry can determine the rotational period and absolute magnitude of an asteroid. Details about this study can be found in the Minor Planet Bulletin article listed in the references.
• The rotational period and some other characteristics were unknown before the study.
• Lightcurves and data points for use in constructing a phase curve were obtained during the several months before and after opposition. The lightcurve data were archived for future spin axis and shape modeling.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape First time series: duration 6 hours.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape 2 time series separated by 24 days.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape With trial and error, the data is phased to 1 rotational period using the Fourier routine built into MPO Canopus.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape Complete coverage from 3 sessions, increasing precision.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape A session late in the apparition shows the amplitude has increased. But the rotational period remains consistent.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape Differential photometry & period analysis: MPO Canopus.(Credits R. Baker, F. Pilcher, V. Benishek, 2010)
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
H-G parameters were originally defined by the International Astronomical Union in 1985.
• Absolute magnitude (H) is a calculated value based on observed magnitudes. It represents the magnitude of an asteroid when 1 AU from both the Earth and the Sun, and at 0 degree phase angle (actually impossible orientationgeometrically).
• Phase slope parameter (G) describes how an asteroid brightens due strictly to change in phase angle, especially near opposition.
• Estimated magnitude of an asteroid can be predicted using these parameters.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Phase Angle
• Asteroids move throughphases (similar to the Moon or Venus).
• Asteroid phases are defined by an angle formed by 2 lines. The first line runs from the asteroid through the Earth, the second from the asteroid through the Sun.
• The phase angle approaches 0 degrees when the asteroid is at opposition.
• Most asteroids do not cross the ecliptic right at opposition. So the minimum phase angle is usually at least a few degrees (and often much more) above or below the ecliptic.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Changing Brightness
• Due to rotation: The amplitude of a typical lightcurve is between 0.1 and 0.5 magnitude. Most asteroids have a rotational period greater than 4 hours but less than 1 day.
• Due to changing distance: The distance from the Earth and also the Sun influence the asteroid’s apparent brightness. These changes occur slowly over several weeks and months.
• Due to changing phase: Changes slowly over several months. The change is linear at phase angles greater than roughly 7 degrees. But a surge in brightness is often observed at smaller phase angles. (Opposition effect.)
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Phase Curve
• The effects on brightness due to rotation and change in distance must be removed from the observations. Result is reduced magnitude.
• The phase curve plot yields an estimated measurement of absolute magnitude (H) and the phase slope parameter (G).
• H & G studies require standard magnitudes from observations in the V-band covering a wide range of phase angles. For best results the minimum phase angle should be < 1 degree.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Differential standard V-band photometry: AstrometricaH-G utility: MPO Canopus(Credits R. Baker, F. Pilcher, V. Benishek, 2010)
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Spectroscopy:
Asteroids are placed in taxonomic classes on the
basis of their spectral classification.
• Reflectance spectrum is a plot showing
varying levels of reflectivity dependent on
wave length.
• Horizontal axis is the wavelength in microns.
Vertical axis is the reflectance or albedo. This
is the ratio of incident sunlight reflected back
from the surface.
• Spectral features such as absorption bands
reveal the presence of specific minerals.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
The ECAS and SMASSII spectroscopic surveys
provide the data used by astronomers to assign
classes.
• Eight-Color Asteroid Survey (ECAS) was
conducted in 1984. Most asteroids were
found to fit into 3 broad categories:
carbon, stone and metallic. 14 classes were
established.
• The Small Main-Belt Asteroid Spectroscopic
Survey (SMASSII) made high resolution
observations in 2002. Total of 22 classes.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Satellite Observations
The diameter of some asteroids have been
measured directly by orbiting satellites. The
observations are made in the Infrared band of the
spectrum.
• Infrared Astronomical Satellite (IRAS)
The Supplemental IRAS Minor Planet Survey
(SIMPS) is based on IRAS, and contains data
relative to asteroids.
• Wide-Field Infrared Survey Explorer (WISE)
Research is currently underway on the vast
amount of data produce by this survey.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
Radar
The Arecibo Observatory and Goldstone Solar
System Radar are used to measure many asteroid
characteristics, including the diameter of larger
objects.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
A mathematical relation exists between diameter,
albedo and absolute magnitude (H). It is possible
for a large asteroid with a small albedo can have
the same absolute magnitude (H) as a smaller
asteroid with a larger albedo.
• When an asteroid’s diameter has been
measured directly, albedo can be calculated
using the observed absolute magnitude (H).
• Diameter can also be estimated by using the
observed absolute magnitude (H) and an
assumed value for albedo.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
The equitorial elongation of an asteroid can be
estimated from the amplitude of the lightcurve.
• The amplitude normally decreases as the
phase angle decreases, then increases again
after opposition.
• Observations recorded near 0 degrees phase
angle should be used for the calculation.
Characteristics of Asteroids
Orbital elements
Family
Rotation period
Amplitude
Abs mag (H)
Phase slope (G)
Taxonomy
Albedo
Diameter
Elongation
Spin axis
Shape
The spin axis is referenced to the ecliptic, and
defined by the ecliptic longitude & latitude. An
asteroid’s shape can be estimated with special
modeling software.
• Mathematically intensive.
• Requires significant amounts of lightcurve data
preferably at many phase angles.
• Data from several apparitions are needed.
Duration of these studies is long-term.
• Suitable for collaborations between
professional and amateur astronomers.
Characteristics of Asteroids(Summary)
• Orbital elements
• Family
• Rotational period
• Amplitude
• Absolute magnitude (H)
• Phase slope parameter (G)
• Taxonomic class
• Albedo
• Diameter
• Equitorial elongation
• Spin axis
• Shape
Astrometry (from backyard observations)Photometry (from backyard observations)
Spectroscopy, Satellite Imaging, Radar (from professional observations)Modeling (backyard & professional collaborations)
Organizations
Association of Lunar and Planetary Observers. http://alpo-astronomy.org/
British Astronomical Association, Asteroid and Remote Planets Section.http://britastro.org/asteroids/table%20of%20contents.htm
JPL Small-Body Database Browser. http://ssd.jpl.nasa.gov/sbdb.cgi
Minor Planet Center. http://www.minorplanetcenter.net/
Books
Asteroids and How to Observe Them. Roger Dymock. Springer-Verlag.http://www.springerlink.com/
Lightcurve Photometry and Analysis. Brian D. Warner. Springer-Verlag.http://www.springerlink.com/
Software
Astrometrica. http://www.astrometrica.at/
MPO Canopus. Bdw Publishing. http://www.minorplanetobserver.com/
References:
Baker, R., Pilcher, F., Benishek, V. (2011). “Photometric Observations and Analysisof 1082 Pirola.” Minor Planet Bulletin 38-2, 111-114. http://www.minorplanet.info/mpbdownloads.html
Bus, S. J., Binzel, R. P. (2002). “Phase II of the small main-belt asteroid spectroscopic survey: A feature-based taxonomy.” Icarus 158, 146-177.http://fkometes.pagesperso-orange.fr/documents%20pdf/bus_spectrum0_sdarticle.pdf
Dymock, R., Miles, R. (2009). “A method for determining the V magnitude of asteroids from CCD images.” Journal of the British Astronomical Association 119, 149-156.http://britastro.org/asteroids/JBAA%20119%20149-156%20Dymock1.pdf
Harris, A.W. (1989). “The H-G Asteroid Magnitude System: Mean Slope parameters.” Lunar Planetary Science XX, 375-376.http://www.lpi.usra.edu/meetings/lpsc1989/pdf/1192.pdf
Tedesco, E.F., Noah, P.V., Noah, M., and Price, S.D. (2002). “The Supplemental IRASMinor Planet Survey.” The Astronomical Journal 123, 1056-1085. http://iopscience.iop.org/1538-3881/123/2/1056/pdf/1538-3881_123_2_1056.pdf
Warner, B.D. (2007). “Initial Results from a Dedicated H-G Project.” The Minor Planet Bulletin 34-4, 113-119.http://www.minorplanet.info/mpbdownloads.html
Questions/Discussion