Orbital Analysis for matched events on 20211103_015647.385_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 122.69° Bg 10.46° Vg 69.33km/s
mass 0.00757g, abs. mag 0.6
best visual mag 1.5
Path Details
------------
start 1.81° 51.67° 111.33km
end   1.70° 51.68° 103.88km

Orbit Details
-------------
Semimajor axis 6.94A.U., eccentricity 0.87, inclination 161.45°, Period 18.26Y, LA Sun 220.57°, last Perihelion 2003-08-20

Full details below
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Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459521.581103994511
Time: 2021-11-03 01:56:47.385126 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK0034
 Convergence angle = 19.47694 deg
 R.A. = 127.84943  Dec = +29.67738 deg

Best intersection: Stations UK0004 and UK0034 with Qconv = 19.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1141648.85 +/- 113.81 m
 Y =   3868215.77 +/- 20.61 m
 Z =   5067263.97 +/- 126.77 m
 Vx =   -37312.18 +/- 16.27 m/s
 Vy =    48121.23 +/- 1254.32 m/s
 Vz =    34950.69 +/- 955.09 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.071204e+04, -1.505081e+03, -1.200761e+04, +4.984654e+04, +3.571154e+04, -6.047517e+04
-1.505081e+03, +4.886984e+02, +1.860831e+03, -4.091097e+03, -5.167420e+03, +7.110714e+03
-1.200761e+04, +1.860831e+03, +1.370838e+04, -5.471233e+04, -4.086948e+04, +6.884286e+04
+4.984654e+04, -4.091097e+03, -5.471233e+04, +4.671470e+05, +6.079321e+04, -4.972567e+05
+3.571154e+04, -5.167420e+03, -4.086948e+04, +6.079321e+04, +2.878051e+05, -1.104537e+05
-6.047517e+04, +7.110714e+03, +6.884286e+04, -4.972567e+05, -1.104537e+05, +5.589300e+05

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK0034: 0.001560 s
    UK003W: 0.000000 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 01:56:47.385126 UTC
  Lon     = ++1.806777 +/- 0.0016 deg
  Lat     = +51.666949 +/- 0.0008 deg
  Lat geo = +51.482790 +/- 0.0008 deg
  Ht      =  111324.32 +/- 89.16 m

  JD dynamic   = 2459521.581904735416 
  LST apparent = 73.5567846792 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 127.78924 +/- 0.6978 deg
  Dec       = +29.85484 +/- 0.5043 deg
  Azimuth   =  97.19927 +/- 1.1058 deg
  Elevation = +44.82150 +/- 0.1071 deg
  Vavg      =  68.37676 +/- 0.0574 km/s
  Vinit     =  70.20970 +/- 0.8333 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 127.95036 +/- 0.6978 deg
  Dec       = +29.75808 +/- 0.5043 deg
  Azimuth   =  97.15711 +/- 1.1058 deg
  Elevation = +44.65414 +/- 0.1071 deg
  Vavg      =  68.58403 +/- 0.0574 km/s
  Vinit     =  70.41697 +/- 0.8333 km/s
Radiant (geocentric, J2000):
  R.A.   = 127.70171 +/- 0.6966 deg
  Dec    = +29.71793 +/- 0.5104 deg
  Vg     =  69.32757 +/- 0.8439 km/s
  Vinf   =  70.20970 +/- 0.8333 km/s
  Zc     =  45.15571 +/- 0.1093 deg
  Zg     =  45.45693 +/- 0.1066 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 122.68972 +/- 0.4794 deg
  Bg     = +10.45814 +/- 0.6393 deg
  Vh     =  40.74813 +/- 0.8471 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 115.95072 +/- 0.9289 deg
  Bh     = +17.98879 +/- 1.0203 deg
  Vh_x   =  16.95965 +/- 0.7922 km/s
  Vh_y   = -34.84847 +/- 0.5089 km/s
  Vh_z   = -12.58428 +/- 0.8613 km/s
Orbit:
  La Sun = 220.567528 +/- 0.0000 deg
  a      =   6.935058 +/- 7.2957 AU
  e      =   0.865824 +/- 0.0693
  i      = 161.449802 +/- 0.9847 deg
  peri   = 209.986351 +/- 3.4730 deg
  node   = 220.571450 +/- 0.0002 deg
  Pi     =  70.557801 +/- 3.4732 deg
  q      =   0.930515 +/- 0.0123 AU
  f      = 330.016377 +/- 3.4729 deg
  M      = 358.873387 +/- 1.2184 deg
  Q      =  12.939600 +/- 14.5846 AU
  n      =   0.053967 +/- 0.0446 deg/day
  T      =  18.263153 +/- 43.4627 years
  Last perihelion JD = 2452871.725012 (2003-08-20 05:24:01.046914) +/- 15876.4754 days
  Tj     =  -0.344728 +/- 0.4268
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.692619e-03, +5.087256e-04, -6.283858e+02, -4.657655e-06, -1.558012e-01, -2.548445e-02
q   , +5.087256e-04, +1.114022e-04, -4.328429e+01, -1.520189e-06, -3.132511e-02, -8.602055e-03
Tp  , -6.283858e+02, -4.328429e+01, +2.111984e+08, -1.744826e-01, +1.601310e+04, -1.295859e+03
node, -4.657655e-06, -1.520189e-06, -1.744826e-01, +2.599149e-08, +4.062375e-04, +1.485156e-04
peri, -1.558012e-01, -3.132511e-02, +1.601310e+04, +4.062375e-04, +8.930031e+00, +2.292835e+00
i   , -2.548445e-02, -8.602055e-03, -1.295859e+03, +1.485156e-04, +2.292835e+00, +8.517857e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK0004
  Avg. res. = 7.223e-06 s
  Stddev    = 2.69e-03 s

Begin point on the trajectory:
  Lon =     1.806803 +/- 0.0016 deg
  Lat =    51.666947 +/- 0.0008 deg
  Ht  = 111326.13 +/- 89.99 m
End point on the trajectory:
  Lon =     1.700378 +/- 0.0009 deg
  Lat =    51.675205 +/- 0.0004 deg
  Ht  = 103883.19 +/- 40.58 m

Stations
--------
        ID, Ignored, Lon +E (deg), Lat +N (deg),  Ht (m), Jacchia a1, Jacchia a2,  Beg Ht (m),  End Ht (m), +/- Obs ang (deg), +/- V (m), +/- H (m), Persp. angle (deg), Weight, FOV Beg, FOV End, Comment
    UK0004,   False,     0.265784,    50.757315,   55.00,   0.000000,   0.000000,   111326.13,   103883.19,          0.007837,      9.21,     23.30,              38.59, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_015644_498_0796160.fits"}
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,   110354.82,   104300.52,          0.003320,      0.46,     10.83,              45.92, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20211103_015638_635_0805120.fits"}
    UK003W,    True,     0.164950,    51.426540,   67.00,   0.000000,   0.000000,   115313.68,   100132.89,          0.020704,       nan,       nan,              15.06, 0.0000,    True,    True, {"ff_name": "FF_UK003W_20211103_015647_048_0796928.fits"}
    UK0045,    True,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   111802.11,   102429.38,          0.047311,       nan,       nan,              21.32, 0.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_015643_496_0794368.fits"}

Points
------
 No, Station ID,  Ignore,  Time (s),                   JD,     meas1,     meas2, Azim +E of due N (deg), Alt (deg), Azim line (deg), Alt line (deg), RA obs (deg), Dec obs (deg), RA line (deg), Dec line (deg),       X (m),       Y (m),       Z (m), Latitude (deg), Longitude (deg), Height (m),  Range (m), Length (m), State vect dist (m),  Lag (m), Vel (m/s), Vel prev avg (m/s), H res (m), V res (m), Ang res (asec), AppMag, AbsMag
  0,     UK0004,       0,  0.000000, 2459521.581103994511, 167.96878,  54.11696,               46.17046,  36.08852,        46.17788,       36.07699,    167.96878,     +54.11696,     167.97767,      +54.10506,  1141647.46,  3868217.56,  5067265.27,      51.666947,       +1.806803,  111326.13,  186000.66,       0.00,                2.61,   524.53,      0.00,           65300.14,     39.21,    -15.51,          46.76,  +2.75,  +1.40
  1,     UK0004,       0,  0.040088, 2459521.581104458310, 168.66518,  54.28176,               45.69534,  35.87571,        45.69545,       35.87554,    168.66518,     +54.28176,     168.66548,      +54.28158,  1142871.91,  3866638.40,  5066118.32,      51.668755,       +1.783595,  109702.18,  184175.02,    2304.03,             2301.42,     8.76,  57474.33,           65300.14,      0.57,     -0.23,           0.69,  +1.60,  +0.27
  2,     UK0004,       0,  0.080192, 2459521.581104922574, 169.58687,  54.51208,               45.05680,  35.60673,        45.05852,       35.60412,    169.58687,     +54.51208,     169.58914,      +54.50934,  1144463.92,  3864585.19,  5064627.06,      51.671099,       +1.753451,  107591.34,  181819.95,    5299.70,             5297.09,   188.74,  74697.51,           65300.14,      8.74,     -3.46,          10.66,  +1.95,  +0.65
  3,     UK0004,       0,  0.120296, 2459521.581105386838, 170.37015,  54.68399,               44.53840,  35.36740,        44.53234,       35.37652,    170.37015,     +54.68399,     170.36402,      +54.69363,  1145755.32,  3862919.68,  5063417.40,      51.672996,       +1.728951,  105879.58,  179922.50,    7729.70,             7727.08,  -196.95,  60592.38,           65300.14,    -30.31,     11.97,          37.36,  +1.63,  +0.35
  4,     UK0004,       0,  0.160396, 2459521.581105851103, 171.30001,  54.90217,               43.91154,  35.09756,        43.90879,       35.10165,    171.30001,     +54.90217,     171.29777,      +54.90653,  1147261.88,  3860976.69,  5062006.19,      51.675205,       +1.700378,  103883.19,  177726.71,   10564.56,            10561.95,  -177.50,  70694.85,           66221.53,    -13.48,      5.33,          16.83,  +1.53,  +0.28
  5,     UK0004,       1,  0.200540, 2459521.581106315367, 172.42653,  55.12672,               43.19152,  34.75244,        43.17785,       34.77250,    172.42653,     +55.12672,     172.41361,      +55.14832,  1148995.72,  3858740.56,  5060382.08,      51.677739,       +1.667495,  101586.38,  175223.71,   13827.11,            13824.49,   266.55,  81271.14,           68637.20,    -65.38,     25.81,          82.74,  +5.60,  +4.38
  0,     UK0034,       0,  0.027028, 2459521.581104289740,  89.69050,  -0.19975,              159.17560,  35.00272,       159.17540,       35.00244,     89.69050,      -0.19975,      89.69082,       -0.19998,  1142379.78,  3867273.09,  5066579.30,      51.668029,       +1.792918,  110354.82,  189116.80,       0.00,             1375.38,    -0.35,      0.00,           70847.82,      1.06,     -0.05,           1.16,  +2.75,  +1.37
  1,     UK0034,       0,  0.067428, 2459521.581104757264,  89.22897,  -0.63717,              159.83767,  34.67249,       159.84174,       34.67805,     89.22897,      -0.63717,      89.22481,       -0.63243,  1143880.99,  3865336.99,  5065173.10,      51.670241,       +1.764490,  108364.17,  187201.94,    2824.80,             4200.19,   -12.02,  69920.89,           70847.82,    -21.19,      0.90,          23.37,  +2.21,  +0.85
  2,     UK0034,       0,  0.107832, 2459521.581105224788,  88.74573,  -1.07834,              160.52102,  34.33935,       160.52188,       34.34051,     88.74573,      -1.07834,      88.74525,       -1.07735,  1145394.46,  3863385.08,  5063755.42,      51.672467,       +1.735810,  106357.86,  185295.27,    5672.68,             7048.06,    -0.89,  70485.04,           70847.82,     -4.39,      0.19,           4.89,  +2.21,  +0.87
  3,     UK0034,       0,  0.148260, 2459521.581105692778,  88.24225,  -1.54308,              161.22826,  33.98315,       161.22815,       33.98301,     88.24225,      -1.54308,      88.24298,       -1.54320,  1146946.91,  3861382.90,  5062301.22,      51.674744,       +1.706375,  104300.52,  183365.18,    8593.90,             9969.28,    81.88,  72257.24,           70847.82,      0.55,     -0.02,           0.62,  +2.28,  +0.96
  0,     UK003W,       1, -0.082326, 2459521.581103041768, 139.54402,  39.55693,               76.76617,  42.91060,        76.77637,       42.86951,    139.54402,     +39.55693,     139.57964,      +39.52569,  1138642.14,  3872093.50,  5070080.39,      51.662496,       +1.863641,  115313.68,  167689.80,       0.00,             5657.68, 11959.71,     -0.00,           64810.12,    116.16,    -38.12,         150.37,  +6.50,  +5.38
  1,     UK003W,       1, -0.042170, 2459521.581103506498, 139.81682,  39.67105,               76.46683,  42.81548,        76.46319,       42.82954,    139.81682,     +39.67105,     139.80439,      +39.68182,  1140148.53,  3870150.71,  5068669.33,      51.664730,       +1.835166,  113314.65,  164928.57,    2834.56,             2823.11,  6305.80,  70588.80,           64810.12,    -39.20,     12.69,          51.53,  +2.91,  +1.82
  2,     UK003W,       1, -0.002098, 2459521.581103970297, 140.00758,  39.80559,               76.19925,  42.78276,        76.19598,       42.79522,    140.00758,     +39.80559,     139.99670,      +39.81515,  1141395.70,  3868542.25,  5067501.10,      51.666575,       +1.811547,  111660.08,  162643.21,    5181.33,              476.34,  1145.59,  58563.83,           64810.12,    -34.28,     11.12,          45.71,  +2.47,  +1.41
  3,     UK003W,       1,  0.037994, 2459521.581104434095, 140.23833,  39.96147,               75.88351,  42.73899,        75.87969,       42.75330,    140.23833,     +39.96147,     140.22601,      +39.97248,  1142830.56,  3866691.73,  5066157.05,      51.668694,       +1.784383,  109757.02,  160017.66,    7881.28,             2223.60,    78.00,  67343.79,           64810.12,    -38.73,     12.56,          52.48,  +1.76,  +0.74
  4,     UK003W,       1,  0.078078, 2459521.581104898360, 140.47811,  40.13695,               75.54159,  42.70184,        75.54016,       42.70713,    140.47811,     +40.13695,     140.47382,      +40.14102,  1144322.49,  3864767.60,  5064759.54,      51.670891,       +1.756124,  107778.84,  157290.96,   10688.62,             5030.95,    71.06,  70036.51,           65900.01,    -14.07,      4.58,          19.41,  +1.80,  +0.82
  5,     UK003W,       1,  0.118158, 2459521.581105362158, 140.71157,  40.30363,               75.21380,  42.66316,        75.21412,       42.66200,    140.71157,     +40.30363,     140.71307,      +40.30274,  1145709.66,  3862978.57,  5063460.16,      51.672929,       +1.729821,  105940.09,  154758.00,   13298.85,             7641.17,  -132.72,  65125.31,           66100.92,      3.03,     -0.99,           4.24,  +1.54,  +0.59
  6,     UK003W,       1,  0.158286, 2459521.581105826423, 141.01809,  40.49572,               74.81317,  42.59608,        74.81087,       42.60419,    141.01809,     +40.49572,     141.01167,      +40.50201,  1147368.59,  3860839.06,  5061906.23,      51.675361,       +1.698374,  103741.82,  151734.25,   16420.42,            10762.74,   171.47,  77790.36,           67426.28,    -20.85,      6.79,          29.80,  +1.47,  +0.56
  7,     UK003W,       1,  0.198378, 2459521.581106290687, 141.27683,  40.67247,               74.46013,  42.54851,        74.45884,       42.55298,    141.27683,     +40.67247,     141.27375,      +40.67596,  1148766.20,  3859036.57,  5060597.07,      51.677404,       +1.671836,  101890.37,  149188.88,   19050.29,            13392.61,   -13.51,  65595.81,           67825.88,    -11.32,      3.69,          16.47,  +2.36,  +1.49
  8,     UK003W,       1,  0.238518, 2459521.581106754951, 141.56326,  40.81749,               74.12466,  42.46507,        74.11377,       42.50182,    141.56326,     +40.81749,     141.53223,      +40.84626,  1150093.25,  3857325.09,  5059354.02,      51.679340,       +1.646613,  100132.89,  146774.64,   21547.36,            15889.68,  -334.65,  62209.16,           67637.47,    -91.67,     29.69,         135.41,  +4.71,  +3.88
  0,     UK0045,       1, -0.007072, 2459521.581103912555, 149.61471,  39.58100,               70.01001,  36.65018,        70.02727,       36.62402,    149.61471,     +39.58100,     149.62897,      +39.55352,  1141288.62,  3868680.35,  5067601.40,      51.666417,       +1.813582,  111802.11,  184397.35,       0.00,              677.82,  1696.29,     -0.00,           68423.38,     95.00,     -7.07,         106.56,  +3.49,  +2.16
  1,     UK0045,       1,  0.032896, 2459521.581104375422, 149.93845,  39.71045,               69.68635,  36.54351,        69.71872,       36.49462,    149.93845,     +39.71045,     149.96522,      +39.65899,  1142646.96,  3866928.51,  5066329.03,      51.668423,       +1.787859,  110000.49,  181993.94,    2555.96,             1878.13,    90.46,  63950.12,           68423.38,    175.42,    -13.30,         199.39,  +2.87,  +1.57
  2,     UK0045,       1,  0.072888, 2459521.581104838289, 150.31009,  39.82365,               69.34933,  36.39871,        69.38091,       36.35133,    150.31009,     +39.82365,     150.33601,      +39.77362,  1144099.60,  3865055.05,  5064968.32,      51.670563,       +1.760344,  108074.33,  179429.20,    5289.37,             4611.55,    16.04,  68348.97,           68423.38,    167.88,    -12.73,         193.54,  +2.36,  +1.09
  3,     UK0045,       1,  0.112860, 2459521.581105300691, 150.71211,  39.96233,               68.97043,  36.25316,        69.01104,       36.19256,    150.71211,     +39.96233,     150.74516,      +39.89813,  1145650.22,  3863055.23,  5063515.85,      51.672842,       +1.730963,  106018.88,  176697.95,    8207.14,             7529.31,   127.39,  72995.31,           68423.38,    211.85,    -16.23,         248.02,  +1.87,  +0.63
  4,     UK0045,       1,  0.152880, 2459521.581105764024, 151.13772,  40.05529,               68.62126,  36.06492,        68.64296,       36.03286,    151.13772,     +40.05529,     151.15539,      +40.02115,  1147153.05,  3861117.04,  5062108.13,      51.675045,       +1.702462,  104027.39,  174056.62,   11034.99,            10357.16,   145.45,  70660.93,           69325.98,    110.71,     -8.32,         131.56,  +1.73,  +0.53
  5,     UK0045,       1,  0.192880, 2459521.581106226891, 151.48343,  40.14324,               68.32662,  35.92057,        68.34015,       35.90072,    151.48343,     +40.14324,     151.49470,      +40.12202,  1148359.26,  3859561.40,  5060978.26,      51.676810,       +1.679539,  102429.38,  171939.35,   13304.70,            12626.88,  -393.23,  56742.88,           67785.47,     67.85,     -5.06,          81.62,  +2.47,  +1.29

Notes
-----
- Points that have not been taken into consideration when computing the trajectory have '1' in the 'Ignore' column.
- The time already has time offsets applied to it.
- 'meas1' and 'meas2' are given input points.
- X, Y, Z are ECI (Earth-Centered Inertial) positions of projected lines of sight on the radiant line.
- Zc is the observed zenith distance of the entry angle, while the Zg is the entry zenith distance corrected for Earth's gravity.
- Latitude (deg) and Longitude (deg) are in WGS84 coordinates, while Height (m) is in the EGM96 datum. There values are coordinates of each point on the radiant line.
- Jacchia (1955) deceleration equation fit was done on the lag.
- Right ascension and declination in the table are given in the epoch of date for the corresponding JD, per every point.
- 'RA and Dec obs' are the right ascension and declination calculated from the observed values, while the 'RA and Dec line' are coordinates of the lines of sight projected on the fitted radiant line. The coordinates are in the epoch of date, and NOT J2000!. 'Azim and alt line' are thus corresponding azimuthal coordinates.
- 'Vel prev avg' is the average velocity including all previous points up to the given point. For the first 4 points this velocity is computed as the average velocity of those 4 points.