Orbit Fit and Astrometric record for 10HM23

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 10HM23    
# Created Sat Mar 30 01:13:35 2024
# Orbit generated from Bernstein formalism
# Fitting      7 observations of      7
# Arc:  49.66d
# First observation: 2010/04/20
#  Last observation: 2010/06/09
Preliminary a, adot, b, bdot, g, gdot:
  -0.000002   0.109470  -0.000001   0.013777   0.068589   0.000000
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after  13 iterations -- oscilliatory solution
# Chi-squared of fit:     3.30 DOF:      9 RMS:  0.12
# Min/Max residuals:    -0.19    0.23
# Exact a, adot, b, bdot, g, gdot:
  2.822161E-05  1.280180E-01  2.309822E-06  1.376684E-02  7.189410E-02  7.260989E-04
# Covariance matrix:
  3.1874E-11  1.3834E-07  4.9289E-12 -3.8098E-10  2.3623E-08  8.2157E-08
  1.3834E-07  6.2880E-04  2.2517E-08 -1.8661E-06  1.0690E-04  3.0426E-04
  4.9289E-12  2.2517E-08  1.1824E-12 -7.0332E-11  3.8254E-09  1.0537E-08
 -3.8098E-10 -1.8661E-06 -7.0332E-11  6.4085E-09 -3.1430E-07 -4.7970E-07
  2.3623E-08  1.0690E-04  3.8254E-09 -3.1430E-07  1.8183E-05  5.3236E-05
  8.2157E-08  3.0426E-04  1.0537E-08 -4.7970E-07  5.3236E-05  3.6502E-04
#      lat0       lon0       xBary       yBary       zBary        JD0
   -2.922871 -130.896309    0.332037   -0.048497   -0.949438  2455306.912366
# Heliocentric elements and errors
Epoch:              2455300.5000  =  2010/04/14
Mean Anomaly:          356.25123 +/-    34.432
Argument of Peri:      341.41659 +/-    55.980
Long of Asc Node:      251.98613 +/-     4.316
Inclination:             6.66185 +/-     1.153
Eccentricity:         0.20694425 +/-    0.2504
Semi-Major Axis:     18.72370549 +/-    5.0535
Time of Perihelion: 2455608.6576 +/-    2827.7
Perihelion:          14.84894229 +/-    6.1672
Aphelion:            22.59846868 +/-    7.6925
Period (y)               81.0207 +/-     32.80
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           -9.96356656 +/-    0.5394
Ecliptic Y          -11.00412079 +/-    0.6227
Ecliptic Z           -0.70921774 +/-    0.0421
Ecliptic XDOT         0.00365144 +/-    0.0004
Ecliptic YDOT        -0.00322687 +/-    0.0009
Ecliptic ZDOT         0.00052213 +/-    0.0001
# Distances at JD0 (AU)
Heliocenter to KBO   14.86157201 +/-    0.5860
Geocenter to KBO     13.90934729 +/-    0.8250
# Hcoef: 10.65

The following table shows the complete astrometric record for 10HM23. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (10HM23) followed by the observatory code and reference code for the source of the astrometry.

2010 04  20.41160  15 03 11.758  -20 18 29.71  22. R 10HM23    304  C~0GuH      
2010 04  21.21312  15 03 02.714  -20 17 50.07  22.1R 10HM23    304  C~0GuH      
2010 04  21.26060  15 03 02.146  -20 17 47.73  21.9R 10HM23    304  C~0GuH      
2010 04  21.30851  15 03 01.595  -20 17 45.51  22.0R 10HM23    304  C~0GuH      
2010 06  09.029299 14 53 42.97   -19 31 21.8         10HM23    807  C~4qDO      
2010 06  09.052328 14 53 42.76   -19 31 20.4         10HM23    807  C~4qDO      
2010 06  09.074188 14 53 42.57   -19 31 19.3         10HM23    807  C~4qDO      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00    -0.01       0.00     0.15
     2   0.0022   -133.24     0.09       2.74     0.06
     3   0.0023   -141.56    -0.12       2.76    -0.03
     4   0.0025   -149.63     0.02       2.74    -0.19
     5   0.1358  -8499.31    -0.18     429.24    -0.13
     6   0.1359  -8502.56    -0.07     429.71     0.06
     7   0.1360  -8505.46     0.23     429.98     0.07

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

10HM23    quality flag:0

Type:      ERR2LARGE ERR2LARGE ERR2LARGE

axisobj         0.000     0.000     0.000
ecceobj        -1.000    -1.000    -1.000
incobj         -1.000    -1.000    -1.000
qmin            0.000     0.000     0.000
qmax            0.000     0.000     0.000
amean           0.000     0.000     0.000
amin            0.000     0.000     0.000
amax            0.000     0.000     0.000
emean           0.000     0.000     0.000
emin            0.000     0.000     0.000
emax            0.000     0.000     0.000
imean           0.000     0.000     0.000
imin            0.000     0.000     0.000
imax            0.000     0.000     0.000
excite_mean     0.000     0.000     0.000
fracstop        0.000     0.000     0.000
cjmean          0.000     0.000     0.000

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean         0.0       0.0       0.0
kozaiamp          0.0       0.0       0.0