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: 13PS76
# Created Tue Apr 1 01:09:32 2025
# Orbit generated from Bernstein formalism
# Fitting 39 observations of 39
# Arc: 4.06y
# First observation: 2013/08/09
# Last observation: 2017/08/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000028 0.019195 0.000002 0.000187 0.021701 0.000000
# Chi-squared of fit: 9.78 DOF: 72 RMS: 0.09
# Min/Max residuals: -0.30 0.22
# Exact a, adot, b, bdot, g, gdot:
1.377524E-05 1.899407E-02 4.682580E-07 1.839789E-04 2.156274E-02 -1.919802E-03
# Covariance matrix:
1.3079E-13 -4.9309E-14 -5.5079E-16 -5.3166E-17 4.9220E-14 -2.9624E-13
-4.9309E-14 1.2760E-13 -1.0325E-15 1.3706E-15 5.6832E-14 1.7174E-12
-5.5079E-16 -1.0325E-15 7.6153E-14 -3.6109E-14 -1.3766E-15 -1.8102E-14
-5.3166E-17 1.3706E-15 -3.6109E-14 3.3446E-14 9.7791E-16 2.4851E-14
4.9220E-14 5.6832E-14 -1.3766E-15 9.7791E-16 9.6249E-14 9.7666E-13
-2.9624E-13 1.7174E-12 -1.8102E-14 2.4851E-14 9.7666E-13 3.1379E-11
# lat0 lon0 xBary yBary zBary JD0
2.532677 27.245343 0.957153 0.015036 -0.339211 2456513.999868
# Heliocentric elements and errors
Epoch: 2456510.5000 = 2013/08/06
Mean Anomaly: 247.33664 +/- 0.066
Argument of Peri: 202.78426 +/- 0.061
Long of Asc Node: 309.82238 +/- 0.012
Inclination: 2.58782 +/- 0.000
Eccentricity: 0.14145127 +/- 0.0002
Semi-Major Axis: 43.66677852 +/- 0.0031
Time of Perihelion: 2489494.6540 +/- 19.1
Perihelion: 37.49005727 +/- 0.0103
Aphelion: 49.84349977 +/- 0.0106
Period (y) 288.5592 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.93045026 +/- 0.0006
Ecliptic Y 20.51796363 +/- 0.0003
Ecliptic Z 2.04939287 +/- 0.0000
Ecliptic XDOT -0.00132772 +/- 0.0000
Ecliptic YDOT 0.00203129 +/- 0.0000
Ecliptic ZDOT 0.00001271 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.72632558 +/- 0.0006
Geocenter to KBO 46.37630462 +/- 0.0007
# Hcoef: 7.52
The following table shows the complete astrometric record for 13PS76. 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 (13PS76) followed by the observatory code and reference code for the source of the astrometry.
2013 08 09.49909 01 37 24.929 +12 51 14.50 24.6r 13PS76 568 C~2SD5 2013 08 09.54251 01 37 24.874 +12 51 14.38 24.0r 13PS76 568 C~2SD5 2013 09 02.41721 01 36 38.846 +12 48 07.65 24.1r 13PS76 568 C~2SD5 2013 09 02.46053 01 36 38.735 +12 48 07.13 24.0r 13PS76 568 C~2SD5 2013 09 03.43655 01 36 36.036 +12 47 54.33 24.2r 13PS76 568 C~2SD5 2013 09 03.48318 01 36 35.900 +12 47 53.73 24.7r 13PS76 568 C~2SD5 2013 10 08.49603 01 34 28.970 +12 36 51.61 23.5r 13PS76 568 C~2SD5 2013 11 01.49022 01 32 47.566 +12 27 09.32 24.5r 13PS76 568 C~2SD5 2013 11 28.26487 01 31 09.938 +12 17 03.01 24.3r 13PS76 568 C~2SD5 2013 12 04.38623 01 30 52.607 +12 15 07.79 24.2r 13PS76 568 C~2SD5 2013 12 29.24699 01 30 09.694 +12 09 42.87 24.2r 13PS76 568 C~2SD5 2013 12 29.25183 01 30 09.670 +12 09 43.01 23.8r 13PS76 568 C~2SD5 2013 12 30.34280 01 30 08.893 +12 09 34.57 13PS76 568 C~2SD5 2014 01 02.23377 01 30 07.358 +12 09 15.70 24.2r 13PS76 568 C~2SD5 2014 01 02.36222 01 30 07.281 +12 09 15.16 24.2r 13PS76 568 C~2SD5 2014 01 03.24172 01 30 06.978 +12 09 10.16 25.1r 13PS76 568 C~2SD5 2014 07 26.51389 01 41 40.411 +13 15 09.07 23.7r 13PS76 568 C~2SD5 2014 07 26.55715 01 41 40.417 +13 15 09.42 24.1r 13PS76 568 C~2SD5 2014 07 26.60045 01 41 40.415 +13 15 09.51 24.7r 13PS76 568 C~2SD5 2014 08 24.45000 01 41 12.142 +13 14 10.22 24.2r 13PS76 568 C~2SD5 2014 08 24.52394 01 41 11.984 +13 14 09.60 24.9r 13PS76 568 C~2SD5 2014 08 30.42828 01 40 58.548 +13 13 11.88 24.0r 13PS76 568 C~2SD5 2014 09 18.45522 01 40 00.737 +13 08 33.59 23.8r 13PS76 568 C~2SD5 2014 09 18.49795 01 40 00.580 +13 08 32.88 24.2r 13PS76 568 C~2SD5 2014 09 23.49621 01 39 42.316 +13 06 59.24 23.8r 13PS76 568 C~2SD5 2014 10 22.32309 01 37 43.449 +12 56 11.23 24.5r 13PS76 568 C~2SD5 2014 10 22.36779 01 37 43.256 +12 56 10.20 24.0r 13PS76 568 C~2SD5 2014 10 23.46129 01 37 38.555 +12 55 43.41 24.1r 13PS76 568 C~2SD5 2014 10 25.47724 01 37 29.948 +12 54 53.98 24.1r 13PS76 568 C~2SD5 2014 11 20.20843 01 35 47.520 +12 44 42.53 24.2r 13PS76 568 C~2SD5 2014 11 20.34891 01 35 47.014 +12 44 39.28 23.9r 13PS76 568 C~2SD5 2014 11 21.41395 01 35 43.270 +12 44 15.64 24.3r 13PS76 568 C~2SD5 2015 01 28.27142 01 34 29.496 +12 33 43.03 24.1r 13PS76 568 C~2SD5 2015 02 18.23954 01 35 22.091 +12 37 36.67 23.9r 13PS76 568 C~2SD5 2015 12 07.42846 01 39 06.478 +13 03 38.12 24.0w 13PS76 568 C~2SD5 2017 01 27.26476 01 42 43.188 +13 21 45.64 24.9w 13PS76 568 C~2SD5 2017 01 28.26052 01 42 44.696 +13 21 50.53 24.1w 13PS76 568 C~2SD5 2017 08 25.59230 01 53 52.054 +14 25 57.65 24.3w 13PS76 568 C~2SD5 2017 08 30.61365 01 53 41.327 +14 25 15.20 24.4w 13PS76 568 C~2SD5
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 0.03 0.00 -0.07
2 0.0001 -0.79 -0.06 0.18 -0.05
3 0.0655 -695.84 -0.08 70.62 -0.00
4 0.0656 -697.54 0.07 70.72 -0.03
5 0.0683 -738.97 0.07 73.15 -0.09
6 0.0684 -741.05 0.05 73.31 -0.07
7 0.1643 -2712.09 -0.04 133.57 -0.01
8 0.2300 -4307.47 -0.20 135.32 0.19
9 0.3033 -5861.57 0.05 97.22 -0.08
10 0.3200 -6140.42 -0.02 83.67 0.06
11 0.3881 -6845.74 0.22 13.66 -0.13
12 0.3881 -6846.02 0.01 13.92 0.15
13 0.3911 -6859.74 -0.11 10.28 -0.09
14 0.3990 -6887.65 0.08 1.05 -0.10
15 0.3994 -6888.90 -0.06 0.96 0.20
16 0.4018 -6894.88 0.07 -2.04 0.04
17 0.9610 3999.83 -0.02 -8.95 -0.08
18 0.9611 4000.04 0.05 -8.66 0.05
19 0.9613 4000.05 -0.07 -8.56 -0.02
20 1.0402 3593.33 0.04 84.33 -0.03
21 1.0405 3590.96 0.04 84.58 -0.03
22 1.0566 3387.07 0.03 101.22 0.02
23 1.1087 2498.99 0.04 145.47 -0.07
24 1.1088 2496.59 0.03 145.63 -0.00
25 1.1225 2213.94 -0.04 154.47 -0.03
26 1.2014 359.96 0.01 178.35 0.08
27 1.2016 356.96 0.06 178.41 0.12
28 1.2046 283.19 -0.09 178.36 0.10
29 1.2101 148.00 0.05 177.92 -0.03
30 1.2805 -1469.87 0.01 152.72 0.16
31 1.2809 -1477.95 -0.05 152.39 0.01
32 1.2838 -1537.58 -0.30 150.32 -0.22
33 1.4696 -2773.83 -0.01 -44.80 0.12
34 1.5270 -1971.62 0.11 -108.27 0.05
35 2.3270 1652.99 0.11 155.88 -0.07
36 3.4682 4997.93 0.03 32.93 0.05
37 3.4709 5020.24 -0.06 29.62 0.01
38 4.0441 15497.78 0.02 205.63 -0.05
39 4.0578 15336.00 -0.02 219.93 -0.05
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.
13PS76 quality flag:2 Type: SCATNEAR SCATNEAR CLASSICAL axisobj 43.856 43.864 43.847 ecceobj 0.136 0.137 0.136 incobj 2.586 2.586 2.586 qmin 36.072 36.881 36.162 qmax 52.000 51.165 51.575 amean 43.812 43.632 43.616 amin 43.249 43.251 43.219 amax 44.248 44.253 44.062 emean 0.127 0.098 0.129 emin 0.090 0.067 0.094 emax 0.176 0.156 0.171 imean 4.850 4.641 5.147 imin 3.783 3.299 3.544 imax 5.879 5.669 6.842 excite_mean 0.153 0.128 0.158 fracstop 1.000 1.000 1.000 cjmean 3.070 3.077 3.066 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 180.4 181.1 178.6 kozaiamp 180.0 180.0 180.0