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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 2459000.5 (2020-May-31.0) TDB
Reference: JPL 24 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .1029046409936081 3.9557e-08  
a 3.154543764719444 1.851e-08 au
q 2.829926571112364 1.2717e-07 au
i 6.716979095142447 4.4807e-06 deg
node 125.6131312057327 3.6374e-05 deg
peri 12.29590451930115 4.2053e-05 deg
M 208.4874083588201 2.1013e-05 deg
tp 2459861.790165858526
(2022-Oct-09.29016586)
0.00012179 TDB
period 2046.460009365957
5.60
1.8012e-05
4.931e-08
d
yr
n .1759135279225597 1.5483e-09 deg/d
Q 3.479160958326523 2.0415e-08 au
  Orbit Determination Parameters
   # obs. used (total)      1551  
   data-arc span      10691 days (29.27 yr)  
   first obs. used      1990-05-25  
   last obs. used      2019-09-01  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .52797  
   source      ORB  
   producer      Otto Matic  
   solution date      2020-Jan-28 22:49:34  

Additional Information
 Earth MOID = 1.84405 au 
 Jupiter MOID = 1.54972 au 
 T_jup = 3.188 
[ hide covariance matrix ]
Orbital Elements at Epoch 2456662.5 (2014-Jan-05.0) TDB
Reference: JPL 24 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .09816601486703445 3.9627e-08  
q 2.849840215522473 1.2689e-07 au
tp 2455759.151844632100
(2011-Jul-16.65184463)
0.00012187 TDB
node 125.8386823840648 3.6478e-05 deg
peri 11.82033652570614 4.27e-05 deg
i 6.703125040125238 4.4712e-06 deg
  Orbit Determination Parameters
   # obs. used (total)      1551  
   data-arc span      10691 days (29.27 yr)  
   first obs. used      1990-05-25  
   last obs. used      2019-09-01  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .52797  
   source      ORB  
   producer      Otto Matic  
   solution date      2020-Jan-28 22:49:34  

Additional Information
 Jupiter MOID = 1.54972 au 
 T_jup = 3.188 
Orbit Covariance (6×6)
  e q tp node peri i
e 1.570331998403011E-15 -4.984128417661757E-15 1.43271963186253E-13 3.562963923978176E-15 2.253393666839827E-14 -7.154662695993392E-16
q -4.984128417661757E-15 1.609980539672019E-14 -3.985140180298909E-13 -9.770704970155297E-15 -3.864094405204416E-14 2.657899411476011E-15
tp 1.43271963186253E-13 -3.985140180298909E-13 1.485280187525372E-8 -8.276822024134988E-12 2.725494218302279E-9 -1.009985038109197E-12
node 3.562963923978176E-15 -9.770704970155297E-15 -8.276822024134988E-12 1.330609554120033E-9 -1.322362324062591E-9 4.207519482565243E-12
peri 2.253393666839827E-14 -3.864094405204416E-14 2.725494218302279E-9 -1.322362324062591E-9 1.823272439629932E-9 -4.329120373213984E-12
i -7.154662695993392E-16 2.657899411476011E-15 -1.009985038109197E-12 4.207519482565243E-12 -4.329120373213984E-12 1.999203592943613E-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 13.3   n/a MPO358751  

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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