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9689 Freudenthal (4831 P-L)
Classification: Main-belt Asteroid          SPK-ID: 2009689
Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances ]

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Orbital Elements at Epoch 2459200.5 (2020-Dec-17.0) TDB
Reference: JPL 31 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .1529345802433859 3.135e-08  
a 2.609431822076272 1.0068e-08 au
q 2.210359461693304 8.2777e-08 au
i 13.45197436511565 4.7056e-06 deg
node 11.89138787898579 1.2856e-05 deg
peri 109.1192024899248 2.0613e-05 deg
M 6.768759670751582 1.4563e-05 deg
tp 2459171.551640854251
(2020-Nov-18.05164085)
6.229e-05 TDB
period 1539.633522150522
4.22
8.9103e-06
2.44e-08
d
yr
n .2338218769731389 1.3532e-09 deg/d
Q 3.00850418245924 1.1607e-08 au
  Orbit Determination Parameters
   # obs. used (total)      1530  
   data-arc span      22083 days (60.46 yr)  
   first obs. used      1960-09-24  
   last obs. used      2021-03-11  
   planetary ephem.      DE441  
   SB-pert. ephem.      SB441-N16  
   condition code      0  
   norm. resid. RMS      .47279  
   source      ORB  
   producer      Otto Matic  
   solution date      2021-Apr-12 21:33:17  

Additional Information
 Earth MOID = 1.26591 au 
 Jupiter MOID = 2.13134 au 
 T_jup = 3.355 
[ show covariance matrix ]

Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances ]

Physical Parameter Table
Parameter Symbol Value Units Sigma Reference Notes
absolute magnitude H 14.59   n/a E2021B10  
diameter diameter 3.743 km 0.585 urn:nasa:pds:neowise_diameters_albedos::2.0[mainbelt] (http://adsabs.harvard.edu/abs/2011ApJ...741...68M)  
geometric albedo albedo 0.219   0.062 urn:nasa:pds:neowise_diameters_albedos::2.0[mainbelt] (http://adsabs.harvard.edu/abs/2011ApJ...741...68M)  

9689 Freudenthal           Discovered 1960 Sept. 24 by C. J. van Houten and I. van Houten-Groeneveld on Palomar Schmidt plates taken by T. Gehrels.
Hans Freudenthal (1905-1990), a former president of the International Commission on Mathematical Instruction, was known for his effort to reform mathematical education and the didactics used to teach mathematics. He wrote not only about mathematics and astronomy but was also a writer of essays and poems.
NOTE: some special characters may not display properly (any characters within {} are an attempt to place the proper accent above a character)
Reference: 20010804/MPCPages.arcLast Updated: 2009-05-11

Alternate Designations
 4831 P-L = 2013 T-3 
Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances ]
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