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This web page accompanies papers published online in Science Express on Oct. 12, 2006, and in the Nov. 24, 2006, issue of Science magazine:Radar Imaging of Binary Near-Earth Asteroid (66391) 1999 KW4.S. J. Ostro, J.-L. Margot, L. A. M. Benner, J. D. Giorgini, D. J. Scheeres, E. G. Fahnestock, S. B. Broschart, J. Bellerose, M. C. Nolan, C. Magri, P. Pravec, P. Scheirich, R. Rose, R. F. Jurgens, E. M. de Jong, and S. Suzuki. Science 314, 1276-1280 (2006) (DOI: 10.1126/science.1133622). (paper) (supplementary online material) (includes KW4's close Earth approaches) and
Dynamical Configuration of Binary Near-Earth Asteroid (66391) 1999 KW4. |
Four-frame movie (top frames show views of the entire system from above, bottom frames show Alpha as seen from Beta and Beta as seen from Alpha):
Four-Frame (11.9MB)
Four-Frame (4.3MB)
View from Earth (13.7MB)
View from Earth (4.6MB)
Four-Frame and View from Earth (8.1) MB
Beta viewed from Alpha during May/June 2001
(31 MB)
The above two movies side by side: Alpha seen from Beta and Beta seen from Alpha during May/June 2001 (7 MB)
Animation of the KW4 system as viewed from Earth during May/June 2001 (with the actual star background and simulated solar illumination):
The "Four-Frame" and "View from Earth" movies in sequence, in a single file:
Alpha viewed from Beta during May/June 2001 (31 MB)
Arecibo delay-Doppler radar movie, May 29, 2001 (0.9 MB)
KW4 PICTURES (gzipped 300-dpi unless otherwise noted):
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Collage of frames from the "View from Earth" movie
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Collage of frames from the "View from Earth" movie
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Partial eclipse of Alpha by Beta (from the "Alpha viewed from Beta" movie (72 dpi)
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Alpha's surface dynamical quantities: The equator has minimum potential energy (top), widely varying effective gravitational slopes (middle), and nearly vanishing total acceleration (bottom).
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Ostro et al. Fig. 1: Single-date, multi-run sums of delay-Doppler images.
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Ostro et al. Fig. 2: Examples of images and fit results. Each three-frame horizontal collage shows an Arecibo radar image used in the estimations, the corresponding image synthesized from the shape model, and a plane-of-sky view of that model.
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Ostro et al. Fig. 3: Principal-axis views of the Alpha and Beta shape models, color-coded for effective gravitational slope.
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Scheeres et al. Fig. 1 (72 dpi). Evolution of KW4's orbit (A) semimajor axis and (B) eccentricity over 200 hours, computed for the relaxed and excited system.
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Scheeres et al. Fig. 2 (72 dpi). (A) Rotational angular velocity and (B) total angular acceleration of Beta, shown in the Beta fixed frame, for the relaxed and excited cases. (C) Alpha's orbit in a Beta-fixed frame. The large y variations are due primarily to Beta's attitude libration about the Beta-Alpha line. |
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Scheeres et al. Fig. 3 (72 dpi). Curves of constant geopotential about Alpha (A) without and (B) with Alpha's pole-on shape superimposed. Four equilibrium points, orbits that are stationary in the frame rotating with Alpha, are indicated by "e" and lie just at the body's surface. Alpha's surface lies outside the innermost curve, defined for the equilibrium point with the lowest potential value. |
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Scheeres et al. Fig. S2:
Effective gravitational slopes on Alpha with arrows pointing in the direction of steepest descent.
The natural flow direction from both Northern and Southern hemispheres is towards the equator. Slopes range from zero (blue) to 70 deg (red).
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Scheeres et al. Fig. S3 (144 dpi):
Surface acceleration on Alpha. Note the near vanishing of acceleration along the equator.
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Ostro et al. Fig. S3 (pdf):
Root-reduced chi-square for the barycenter delay residuals (Table S3) in the heliocentric
orbit estimate (Table S2), as a function of the assumed Alpha/Beta mass ratio.
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Equations of motion used in the supercomputer integrations
(from Scheeres et al. supplementary online material.
Tables of images used in the shape modeling:
Alpha files
Beta files
In each
picture, each three-frame horizontal collage shows a radar image used
in the estimations, the corresponding image synthesized from the shape
model, and a plane-of-sky (POS) view of that model. The Set_Frame
identifier corresponds to the images listed in the above tables. Each
three-frame collage consists of three squares with 2.0-km sides for
Alpha and 0.8-km sides for Beta. In the delay-Doppler images, the
radar is toward the top and the object rotates counterclockwise. In
the POS frames, north is toward the top and the arrow represents the
spin vector.
Alpha collage (2.7 MB)
Alpha collage as a slow movie (2.7 MB)
Alpha collage as a fast movie (2.7 MB)
Beta collage (first part, 2.4 MB)
Beta collage (second part, 2.0 MB)
Beta model in Wavefront format
A table-top scale model of KW4 is available from Serra Designs.
Images and fit results are shown in the following pictures,
which are the "complete" versions of Ostro et al. Fig. 2.
Digital shape models in Wavefront (*.obj) format :
Alpha model in Wavefront format
Planetary Radio interview: Steve Ostro talks about KW4