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: MA68740
# Created Wed Jun 4 01:12:17 2025
# Orbit generated from Bernstein formalism
# Fitting 9 observations of 9
# Arc: 23.20d
# First observation: 2015/03/23
# Last observation: 2015/04/15
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.051734 -0.000000 0.000800 0.028841 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: 3.15 DOF: 13 RMS: 0.10
# Min/Max residuals: -0.17 0.30
# Exact a, adot, b, bdot, g, gdot:
1.480792E-05 2.422264E-02 -2.683713E-07 1.619648E-05 2.354878E-02 1.421080E-03
# Covariance matrix:
2.7670E-11 3.9275E-08 7.2283E-13 1.1129E-09 7.7069E-09 -2.2813E-08
3.9275E-08 5.6248E-05 1.0351E-09 1.5938E-06 1.1036E-05 -3.3458E-05
7.2283E-13 1.0351E-09 2.6015E-13 2.5541E-11 2.0309E-10 -6.1257E-10
1.1129E-09 1.5938E-06 2.5541E-11 4.5345E-08 3.1267E-07 -9.6615E-07
7.7069E-09 1.1036E-05 2.0309E-10 3.1267E-07 2.1657E-06 -6.0560E-06
-2.2813E-08 -3.3458E-05 -6.1257E-10 -9.6615E-07 -6.0560E-06 4.5043E-04
# lat0 lon0 xBary yBary zBary JD0
2.298717 157.294584 -0.415342 0.036328 -0.901733 2457104.651598
# Heliocentric elements and errors
Epoch: 2457100.5000 = 2015/03/19
Mean Anomaly: 17.50666 +/- 204.453
Argument of Peri: 63.84674 +/- 304.189
Long of Asc Node: 68.36763 +/- 12.294
Inclination: 2.25073 +/- 0.001
Eccentricity: 0.18468860 +/- 0.5538
Semi-Major Axis: 52.38056692 +/- 27.9929
Time of Perihelion: 2450366.7899 +/- 78454.9
Perihelion: 42.70647347 +/- 36.9094
Aphelion: 62.05466037 +/- 44.0589
Period (y) 379.1085 +/- 303.90
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.13877223 +/- 2.4461
Ecliptic Y 16.34304841 +/- 1.0237
Ecliptic Z 1.70325062 +/- 0.1064
Ecliptic XDOT -0.00124263 +/- 0.0022
Ecliptic YDOT -0.00254005 +/- 0.0013
Ecliptic ZDOT 0.00000860 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 43.37184951 +/- 2.2964
Geocenter to KBO 42.46504067 +/- 2.6538
# Hcoef: 6.72
The following table shows the complete astrometric record for MA68740. 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 (MA68740) followed by the observatory code and reference code for the source of the astrometry.
2015 03 23.15082 10 39 28.288 +10 57 55.28 22.7R MA68740 695 2015 03 23.15697 10 39 28.246 +10 57 55.38 22.6R MA68740 695 2015 03 23.21731 10 39 27.993 +10 57 56.76 MA68740 695 2015 03 23.22247 10 39 27.969 +10 57 56.96 MA68740 695 2015 03 23.27719 10 39 27.743 +10 57 58.25 MA68740 695 2015 03 23.28187 10 39 27.728 +10 57 58.40 MA68740 695 2015 04 15.19942 10 38 08.853 +11 04 58.55 23.0R MA68740 695 2015 04 15.27604 10 38 08.634 +11 04 59.69 MA68740 695 2015 04 15.34908 10 38 08.437 +11 05 00.61 MA68740 695
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 0.30 0.00 0.06
2 0.0000 -0.61 0.08 -0.14 -0.07
3 0.0002 -4.58 -0.03 -0.25 -0.08
4 0.0002 -4.99 -0.10 -0.20 -0.02
5 0.0003 -8.55 -0.17 -0.25 0.03
6 0.0004 -8.82 -0.13 -0.19 0.09
7 0.0631 -1243.02 -0.03 -43.87 -0.04
8 0.0633 -1246.43 -0.07 -44.01 0.03
9 0.0635 -1249.47 0.08 -44.24 0.01
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.
MA68740 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