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12493 Minkowski (1997 PM1)
Classification: Main-belt Asteroid          SPK-ID: 2012493
Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances | Close-Approach Data ]

[ show orbit diagram ]
Orbital Elements at Epoch 2459200.5 (2020-Dec-17.0) TDB
Reference: JPL 29 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .1031809065148831 3.7207e-08  
a 3.153989495968776 1.7337e-08 au
q 2.828558000636298 1.2169e-07 au
i 6.717146671660291 3.7579e-06 deg
node 125.6149100474863 3.3331e-05 deg
peri 12.28826086723892 3.8105e-05 deg
M 243.7039037917221 1.9707e-05 deg
tp 2459861.423854119300
(2022-Oct-08.92385412)
0.00011468 TDB
period 2045.920673526546
5.60
1.687e-05
4.619e-08
d
yr
n .175959901406866 1.4509e-09 deg/d
Q 3.479420991301253 1.9126e-08 au
  Orbit Determination Parameters
   # obs. used (total)      1894  
   data-arc span      11193 days (30.64 yr)  
   first obs. used      1990-05-25  
   last obs. used      2021-01-15  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .50412  
   source      ORB  
   producer      Otto Matic  
   solution date      2021-Feb-24 02:06:12  

Additional Information
 Earth MOID = 1.84258 au 
 Jupiter MOID = 1.54884 au 
 T_jup = 3.188 
[ hide covariance matrix ]
Orbital Elements at Epoch 2457422.5 (2016-Feb-04.0) TDB
Reference: JPL 29 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .09842550831727707 3.745e-08  
q 2.8472948377556 1.219e-07 au
tp 2457812.639595508366
(2017-Feb-28.13959551)
0.0001129 TDB
node 125.8350904141066 3.3437e-05 deg
peri 12.19705702377522 3.868e-05 deg
i 6.703325299984201 3.7519e-06 deg
  Orbit Determination Parameters
   # obs. used (total)      1894  
   data-arc span      11193 days (30.64 yr)  
   first obs. used      1990-05-25  
   last obs. used      2021-01-15  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .50412  
   source      ORB  
   producer      Otto Matic  
   solution date      2021-Feb-24 02:06:12  

Additional Information
 Jupiter MOID = 1.54884 au 
 T_jup = 3.188 
Orbit Covariance (6×6)
  e q tp node peri i
e 1.402511761923031E-15 -4.529000762180603E-15 7.511283600650826E-13 -1.719586116323058E-15 1.682137649559634E-13 4.355949550917932E-16
q -4.529000762180603E-15 1.486020033249158E-14 -1.718480152914211E-12 6.839477771686563E-15 -4.3278777732734E-13 -8.687240036821836E-16
tp 7.511283600650826E-13 -1.718480152914211E-12 1.274701860093257E-8 -1.974551653407189E-11 2.215599672240724E-9 1.176049285117784E-12
node -1.719586116323058E-15 6.839477771686563E-15 -1.974551653407189E-11 1.11804855342216E-9 -1.11377006945148E-9 3.802471308042842E-11
peri 1.682137649559634E-13 -4.3278777732734E-13 2.215599672240724E-9 -1.11377006945148E-9 1.496148119713298E-9 -3.760280518525224E-11
i 4.355949550917932E-16 -8.687240036821836E-16 1.176049285117784E-12 3.802471308042842E-11 -3.760280518525224E-11 1.407679916841387E-11

Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances | Close-Approach Data ]

Physical Parameter Table
Parameter Symbol Value Units Sigma Reference Notes
absolute magnitude H 13.34   n/a E2021B10  

12493 Minkowski           Discovered 1997 Aug. 4 by P. G. Comba at Prescott.
Hermann Minkowski (1864-1909) was awarded a prestigious prize from the Paris Academy of Sciences while still a student. He was Einstein's teacher at Zurich and later developed the concept of four-dimensional space-time---the mathematical foundation of the special theory of relativity.
NOTE: some special characters may not display properly (any characters within {} are an attempt to place the proper accent above a character)
Reference: 20000124/MPCPages.arcLast Updated: 2013-03-29

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Alternate Designations
 1997 PM1 = 1991 PW25 = 1997 PP5 
Ephemeris | Orbit Diagram | Orbital Elements | Mission Design | Physical Parameters | Discovery Circumstances | Close-Approach Data ]
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