Radar Refinement of the Orbit of Asteroid 99942 Apophis (2004 MN4)

The several-hundred-meter asteroid 99942 Apophis (2004 MN4) was discovered in June 2004 and lost until it was rediscovered in December 2004. Integration of the orbit calculated from the half-year-long set of optical astrometry revealed an extremely close approach to Earth on April 13, 2029. Arecibo delay-Doppler radar astrometry obtained during the last week in January 2005 showed the object to be several hundred kilometers closer than had been predicted by the optical position measurements.

First radar echo from asteroid 2004 MN4
This correction refined our estimate of the orbit and predicted a 2029 approach to the geocenter at a distance of:

 
        0.000242 +/- 0.000058 AU  
        36200    +/- 8700     km  
        0.094    +/- 0.023    Earth-Moon distances 
        5.7      +/- 1.4      Earth radii  
This is 28,000 km closer than predicted by the pre-radar (optical-only) orbit and closer than geosynchronous satellites.

The asteroid's 2029 flyby is closer than any known past or future approach by natural objects larger than about 10 meters (other than objects that have entered Earth's atmosphere).

2004 MN4 is expected to reach 3rd magnitude for observers in Europe, Africa, and western Asia, where it will be visible to the unaided eye.

Approaches as close as the 2029 event, by objects as large as 2004 MN4, are very rare, occuring on average at intervals longer than a thousand years.

Click here to enlarge this sketch of the asteroid's most likely trajectory during its 2029 close approach as predicted using the Jan. 2005 radar astrometry. Since the asteroid's position in space is not perfectly known at that time, the white dots at right angles to the blue line are possible alternative positions of the asteroid. Neither the nominal position nor any of its possible alternative positions touches the Earth, effectively ruling out an Earth impact in 2029.


There are several opportunities for radar observations of this object before 2029. The predicted echo signal-to-noise ratios in the following table use current radar system parameters and our recent results for the asteroid's radar signature.

             <----Arecibo---->   <---Goldstone--->
Year  Month  SNR/Date  SNR/Run   SNR/Date  SNR/run
----  -----  --------  -------   --------  -------
2005  Jan      14         5         8        1
2005  Aug       6         2         0        0
2006  May       5         2         1        0
2013  Jan      33        10        11        1
2020  Oct       7         3         1        0
2021  Mar     110        26         8        1
2028  Sep       7         2         0        0


Click here to go to the 2004 MN4 news story on the NASA Near Earth Object Program's web site.

Click here to go to the 2004 MN4 Earth Impact Risk summary page of the NASA Near Earth Object Program's web site.

Click here to go to a University of Michigan press release on how the 2029 encounter will alter the asteroid's spin state. For a better version of that site's animation showing what such spin-state alteration might look like, click here.i


Below are three IAU Circulars reporting radar results for this asteroid. The last two report radar detections in Aug. 2005 and May 2006, and refine the above results.

                                                  Circular No. 8477
Central Bureau for Astronomical Telegrams
INTERNATIONAL ASTRONOMICAL UNION
Mailstop 18, Smithsonian Astrophysical Observatory, Cambridge, MA 02138, U.S.A.
IAUSUBS@CFA.HARVARD.EDU or FAX 617-495-7231 (subscriptions)
CBAT@CFA.HARVARD.EDU (science)
URL http://cfa-www.harvard.edu/iau/cbat.html  ISSN 0081-0304

  
2004 MN_4
     On 2004 Dec. 20, K. E. Smalley (cf. MPEC 2004-Y25) identified
an object placed on the 'NEO Confirmation Page' on Dec. 18
(following its discovery by G. J. Garradd via the Siding Spring
Survey) with 2004 MN_4 (which had been recorded at Kitt Peak on
June 19 and 20; cf. MPS 109613).  Although the recognition of
further prediscovery observations by Spacewatch on Mar. 15 (MPEC
2004-Y70) precluded the possible 2029 Apr. 13 earth impact
discussed extensively in the WWW during 2004 Dec. 23-27 [notably on
the Jet Propulsion Laboratory (JPL) and Pisa NEODys "risk pages"],
it was clear that the object would then make an unusually close
approach.  L. A. M. Benner, JPL; M. C. Nolan, National Astronomy
and Ionosphere Center, Arecibo Observatory; J. D. Giorgini, S. R.
Chesley, and S. J. Ostro, JPL; and D. J. Scheeres, University of
Michigan, report:  "Arecibo delay-Doppler radar astrometry obtained
on 2005 Jan. 27, 29, and 30 significantly refines the 2004 MN_4
orbit.  On Jan. 29.0 UT, the range was 294 km closer to the earth
than the pre-radar orbit solution predicted.  This correction
results in a 2029 approach to the geocenter of only 0.000245 +/-
0.000060 AU (36700 +/- 9000 km or 5.7 +/- 1.4 earth radii, 3-sigma
uncertainties), which is just below geosynchronous orbit and 28000
km closer than predicted by the pre-radar ephemeris.  During its
close approach, it is likely that tidal torques will significantly
alter the object's spin state."

                      (C) Copyright 2005 CBAT
2005 February 4                (8477)            Daniel W. E. Green

-----------------------------------------------------------------------------
                                              Circular No. 8593
Central Bureau for Astronomical Telegrams
INTERNATIONAL ASTRONOMICAL UNION
Mailstop 18, Smithsonian Astrophysical Observatory, Cambridge, MA 02138, U.S.A.
IAUSUBS@CFA.HARVARD.EDU or FAX 617-495-7231 (subscriptions)
CBAT@CFA.HARVARD.EDU (science)
URL http://cfa-www.harvard.edu/iau/cbat.html  ISSN 0081-0304


(99942) APOPHIS
     J. D. Giorgini, L. A. M. Benner, S. J. Ostro, Jet Propulsion
Laboratory; M. C. Nolan, Arecibo Observatory; and M. W. Busch,
California Institute of Technology, report:  "Arecibo (2380-MHz,
12.6-cm) radar observations of (99942) Apophis = 2004 MN_4 (cf.
IAUC 8477) made during Aug. 7.655-7.769 UTC produced a CW detection
and a Doppler measurement of 8186.8 Hz at Aug. 7.713, a correction
of +0.3 +/- 0.2 Hz (+18.9 +/- 12.6 mm/s) relative to nominal
prediction.  Including this Doppler correction in a new orbit
estimate and n-body gravitational propagation increases the 2029
April 13.9 Earth-center miss-distance from 5.77 +/- 0.39 to 5.86
+/- 0.12 Earth radii, reducing the along-track position uncertainty
at closest approach from +/- 1957 to +/- 757 km; the volume of the
spatial uncertainty region decreases from 173000 to 39800 km**3.
The new Doppler measurement increases the predicted nominal Earth
close approach in 2036 from 0.005 to 0.14 AU.  However, we have
found that computational noise intrinsic to 64-bit representations
of real numbers used in arithmetical operations, exacerbated by the
close Earth encounter in 2029, can accumulate trajectory-prediction
error exceeding the radius of the earth by 2036.  Using more
precise 128-bit representations, the specified local error
tolerance was reduced from 10**-14 to 10**-19 and the maximum
predictor/corrector order (used for step-size and error-control
decisions) increased from 14/15 to 21/22. This approach reduces
error growth in the integration due to the finite representation of
real numbers and permits examination of those specific orbit
variations in 2036 for which trajectory offsets comparable to the
size of the earth are significant."
...
                      (C) Copyright 2005 CBAT
2005 September 2               (8593)            Daniel W. E. Green

-------------------------------------------------------------------
                                                  Circular No. 8711
Central Bureau for Astronomical Telegrams
INTERNATIONAL ASTRONOMICAL UNION
Mailstop 18, Smithsonian Astrophysical Observatory, Cambridge, MA 02138, U.S.A.
IAUSUBS@CFA.HARVARD.EDU or FAX 617-495-7231 (subscriptions)
CBAT@CFA.HARVARD.EDU (science)
URL http://cfa-www.harvard.edu/iau/cbat.html  ISSN 0081-0304

...

(99942) APOPHIS
     L. A. M. Benner, J. D. Giorgini, and S. J. Ostro, Jet
Propulsion Laboratory; M. C. Nolan, Arecibo Observatory; and M. W.
Busch, California Institute of Technology, report that Arecibo
(2380-MHz, 12.6-cm) radar observations of minor planet (99942) =
2004 MN_4 during May 6.497-6.562 UTC yielded a 5.5-sigma
continuous-wave detection and a Doppler measurement of -118256.8 Hz
at May 6.534, for a correction of +0.1 +/- 0.1 Hz (+6 +/- 6 mm/s)
relative to the nominal prediction.  An orbit estimation
incorporating the new Doppler measurement with 779 optical
measurements spanning 2004 Mar. 15-2006 Mar. 26, along with the
four Doppler and two range measurements from observations in 2005,
increases the 2029 Apr. 13.9 earth-center miss-distance by 450 km,
from 5.86 +/- 0.11 to 5.93 +/- 0.09 earth radii, and reduces the
along-track-position uncertainty at closest approach from +/- 730
to +/- 570 km (cf. IAUC 8593).  The volume of the one-standard-
deviation spatial uncertainty region decreases by 23 percent, from
261000 to 201000 km**3, and the nominal predicted earth-close-
approach distance in 2036 increases from 0.168 to 0.276 AU, moving
the statistical earth encounter to a lower-probability region
within the distribution of possible orbits.

                      (C) Copyright 2006 CBAT
2006 May 17                    (8711)            Daniel W. E. Green