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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 25 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .1029046387261204 3.9212e-08  
a 3.15454376376792 1.8321e-08 au
q 2.829926577411646 1.2638e-07 au
i 6.716978512571519 4.4182e-06 deg
node 125.6131365106938 3.5777e-05 deg
peri 12.29590063602406 4.1278e-05 deg
M 208.4874074105697 2.0734e-05 deg
tp 2459861.790170859267
(2022-Oct-09.29017086)
0.00012041 TDB
period 2046.460008440028
5.60
1.7829e-05
4.881e-08
d
yr
n .1759135280021525 1.5325e-09 deg/d
Q 3.479160950124193 2.0207e-08 au
  Orbit Determination Parameters
   # obs. used (total)      1576  
   data-arc span      11023 days (30.18 yr)  
   first obs. used      1990-05-25  
   last obs. used      2020-07-29  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .52695  
   source      ORB  
   producer      Otto Matic  
   solution date      2020-Aug-25 00:34:08  

Additional Information
 Earth MOID = 1.84405 au 
 Jupiter MOID = 1.54972 au 
 T_jup = 3.188 
[ hide covariance matrix ]
Orbital Elements at Epoch 2456774.5 (2014-Apr-27.0) TDB
Reference: JPL 25 (heliocentric ecliptic J2000)
 Element Value Uncertainty (1-sigma)   Units 
e .09820751781164479 3.9308e-08  
q 2.849644250517657 1.2618e-07 au
tp 2455759.473457835093
(2011-Jul-16.97345784)
0.0001192 TDB
node 125.8386474916975 3.5879e-05 deg
peri 11.8614928619137 4.1903e-05 deg
i 6.703261161287561 4.4092e-06 deg
  Orbit Determination Parameters
   # obs. used (total)      1576  
   data-arc span      11023 days (30.18 yr)  
   first obs. used      1990-05-25  
   last obs. used      2020-07-29  
   planetary ephem.      DE431  
   SB-pert. ephem.      SB431-N16  
   condition code      0  
   norm. resid. RMS      .52695  
   source      ORB  
   producer      Otto Matic  
   solution date      2020-Aug-25 00:34:08  

Additional Information
 Jupiter MOID = 1.54972 au 
 T_jup = 3.188 
Orbit Covariance (6×6)
  e q tp node peri i
e 1.545084233200465E-15 -4.917187810280526E-15 2.690759176993491E-13 3.484590698224607E-15 4.717961415712702E-14 -6.764991230492039E-16
q -4.917187810280526E-15 1.592219030928486E-14 -7.347553355035219E-13 -9.469968637671864E-15 -1.046780179300821E-13 2.547099129454994E-15
tp 2.690759176993491E-13 -7.347553355035219E-13 1.420938675600144E-8 -7.681638112461458E-12 2.599511970291969E-9 -1.190860525080528E-12
node 3.484590698224607E-15 -9.469968637671864E-15 -7.681638112461458E-12 1.287278352578602E-9 -1.279222367143085E-9 9.047516356885131E-12
peri 4.717961415712702E-14 -1.046780179300821E-13 2.599511970291969E-9 -1.279222367143085E-9 1.755871298143268E-9 -9.169528306200168E-12
i -6.764991230492039E-16 2.547099129454994E-15 -1.190860525080528E-12 9.047516356885131E-12 -9.169528306200168E-12 1.944124934168802E-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

[ show close-approach data ]
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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