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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

[ hide close-approach data ]
Close-Approach Data   ...sorted by Date/Time (TDB)
Date/Time (TDB) Time Uncertainty
(days_HH:MM)
Body Nominal Distance (au) Minimum Distance (au) Maximum Distance (au) V-relative (km/s) V-infinity (km/s) JD (TDB) Time Uncertainty (minutes) Semi-major axis (km) Semi-minor axis (km) range-LOV angle (deg) N-sigma BP Orbit Ref. Reference Modified
1901-May-29 19:06 00:03 Jupiter 1.84388790180572 1.84388625042457 1.84388955318635 2.69843443540829 2.52246170106277 2415534.295573193 3.18226609946345 66.1266709015174 54.4950622400551 -29.8195799941149 1327914.54032723 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
1976-Mar-25 13:53 00:01 Jupiter 1.89123502769126 1.89123422473562 1.89123583064712 3.20691287945883 3.06407496892678 2442863.078352834 1.26464494400256 64.092246706235 16.8044853586304 66.9979444166034 2407220.2917503 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
1986-Oct-07 11:59 < 00:01 Jupiter 1.62707074025105 1.62707022789136 1.62707125261119 2.31328271139471 2.07608150315473 2446710.999519770 0.942586628888445 75.0203075789625 12.5379308832729 78.404869790643 2511578.32273218 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
1997-May-09 05:48 < 00:01 Jupiter 1.6402762389588 1.64027585279358 1.64027662512392 2.39499523086226 2.16869127082118 2450577.742012735 0.579048212000768 60.1614618730603 16.3560085614173 84.7336104419308 2576229.67534904 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2007-Dec-13 03:15 < 00:01 Jupiter 1.93065327353214 1.93065283776009 1.93065370930408 2.9560759766425 2.80373654991534 2454447.635490437 0.30833442248389 53.8118289132537 16.1670418404063 -89.6100872351927 3365790.72009585 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2082-Oct-03 02:38 00:02 Jupiter 1.8061358987729 1.80613507954734 1.80613671799938 2.80578496467836 2.63334206208053 2481770.609784561 1.84390208147539 92.2278581796028 10.8713161692868 75.8188874095773 2545549.24399171 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2093-Apr-17 16:08 00:02 Jupiter 1.59156141693278 1.59156096975539 1.59156186411144 2.21790844613303 1.9633456155664 2485620.172495566 2.12419213230439 146.016896899882 18.7037936412984 84.5974145623724 2393585.9927535 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2103-Nov-20 14:05 00:02 Jupiter 1.69242104707709 1.69242007243821 1.69242202171712 2.51108494685776 2.3031691313016 2489488.086626396 2.42072630981363 110.221402832671 24.8253992944536 -75.6450731640396 2564289.29868288 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2189-Apr-17 15:47 00:05 Jupiter 1.72829314358607 1.72829128505913 1.72829500212351 2.47127842257619 2.26429529643442 2520683.157936275 4.96350717927096 251.986047445899 6.46844610160756 80.3741001706641 2360072.69454279 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34
2199-Nov-05 02:30 00:05 Jupiter 1.57623809291793 1.57623769231805 1.57623849351816 2.18936084574635 1.928357230506 2524536.604323522 5.09394004643313 332.914539730025 21.5211904117577 86.6865262354591 2329938.04321586 T 25 CATAB v2.0f-lin.ifort 2020-Aug-25 00:34:15 2020-Aug-25 00:34

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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