Orbital Analysis for matched events on 20210929_205828.485_UK

Summary for Event
-----------------
shower ID 745 OSD
Lg 126.56° Bg 61.53° Vg 39.96km/s
mass 0.12467g, abs. mag -0.4
Path Details
------------
start 0.36° 53.42° 99.37km
end   0.41° 53.27° 84.68km

Orbit Details
-------------
Semimajor axis 3.15A.U., eccentricity 0.70, inclination 69.36°, Period 5.60Y, LA Sun 186.63°, last Perihelion 2021-09-05

Full details below
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Detailed report below graphs

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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: 2459487.373940806370
Time: 2021-09-29 20:58:28.485670 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002K
 Convergence angle = 37.01195 deg
 R.A. = 180.49586  Dec = +74.65309 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 37.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3122057.79 +/- 33.40 m
 Y =  -2283722.61 +/- 18.57 m
 Z =   5178626.30 +/- 31.56 m
 Vx =   -11242.53 +/- 125.73 m/s
 Vy =     -316.27 +/- 68.24 m/s
 Vz =    39916.71 +/- 91.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.198684e+03, +1.845246e+02, +9.934179e+02, +3.531280e+03, +3.499415e+02, +2.766094e+03
+1.845246e+02, +3.693385e+02, +1.600462e+02, +3.665056e+02, +7.648981e+02, +3.588756e+02
+9.934179e+02, +1.600462e+02, +1.069313e+03, +2.586016e+03, +3.338284e+02, +2.114998e+03
+3.531280e+03, +3.665056e+02, +2.586016e+03, +1.724303e+04, +4.038895e+03, +1.238518e+04
+3.499415e+02, +7.648981e+02, +3.338284e+02, +4.038895e+03, +5.068856e+03, +2.860784e+03
+2.766094e+03, +3.588756e+02, +2.114998e+03, +1.238518e+04, +2.860784e+03, +9.019591e+03

Timing offsets (from input data):
    UK000Z: -0.000064 s
    UK002K: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 20:58:28.485670 UTC
  Lon     = ++0.359973 +/- 0.0004 deg
  Lat     = +53.423748 +/- 0.0001 deg
  Lat geo = +53.242239 +/- 0.0001 deg
  Ht      =   99375.34 +/- 38.93 m

  JD dynamic   = 2459487.374741547275 
  LST apparent = 323.8152789815 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 181.61138 +/- 0.3551 deg
  Dec       = +74.26423 +/- 0.2022 deg
  Azimuth   = 347.43423 +/- 0.1965 deg
  Elevation = +40.18567 +/- 0.1651 deg
  Vavg      =  40.61598 +/- 0.0471 km/s
  Vinit     =  41.47093 +/- 0.0550 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 180.45833 +/- 0.3551 deg
  Dec       = +74.49138 +/- 0.2022 deg
  Azimuth   = 347.93308 +/- 0.1965 deg
  Elevation = +40.23937 +/- 0.1651 deg
  Vavg      =  40.57003 +/- 0.0471 km/s
  Vinit     =  41.42498 +/- 0.0550 km/s
Radiant (geocentric, J2000):
  R.A.   = 179.66720 +/- 0.4785 deg
  Dec    = +73.50626 +/- 0.2412 deg
  Vg     =  39.95633 +/- 0.0571 km/s
  Vinf   =  41.47093 +/- 0.0550 km/s
  Zc     =  49.99150 +/- 0.1724 deg
  Zg     =  50.98521 +/- 0.1789 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 126.55572 +/- 0.5423 deg
  Bg     = +61.53196 +/- 0.0981 deg
  Vh     =  38.60341 +/- 0.0511 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 242.35454 +/- 0.3262 deg
  Bh     = +65.49817 +/- 0.2551 deg
  Vh_x   =   7.42848 +/- 0.1469 km/s
  Vh_y   =  14.18196 +/- 0.1148 km/s
  Vh_z   = -35.12709 +/- 0.0746 km/s
Orbit:
  La Sun = 186.634496 +/- 0.0000 deg
  a      =   3.154978 +/- 0.0452 AU
  e      =   0.703553 +/- 0.0042
  i      =  69.363901 +/- 0.1655 deg
  peri   = 147.102831 +/- 0.5757 deg
  node   = 186.634918 +/- 0.0000 deg
  Pi     = 333.737750 +/- 0.5757 deg
  q      =   0.935284 +/- 0.0022 AU
  f      =  32.895539 +/- 0.5757 deg
  M      =   4.261178 +/- 0.1217 deg
  Q      =   5.374672 +/- 0.0903 AU
  n      =   0.175877 +/- 0.0037 deg/day
  T      =   5.603960 +/- 0.1211 years
  Last perihelion JD = 2459463.146606 (2021-09-05 15:31:06.729766) +/- 0.3816 days
  Tj     =   2.039550 +/- 0.0215
Shower association:
  IAU No.  =  745
  IAU code =  OSD

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.881497e-05, -9.033040e-07, +1.768265e-04, +2.261443e-10, +6.074909e-07, -7.469604e-06
q   , -9.033040e-07, +5.287437e-06, +8.923167e-04, -1.784898e-10, +2.382160e-05, +5.892441e-06
Tp  , +1.768265e-04, +8.923167e-04, +1.564175e-01, -2.668220e-08, +4.103056e-03, +8.807944e-04
node, +2.261443e-10, -1.784898e-10, -2.668220e-08, +8.244100e-15, -7.553346e-10, -2.722740e-10
peri, +6.074909e-07, +2.382160e-05, +4.103056e-03, -7.553346e-10, +1.085029e-04, +2.493489e-05
i   , -7.469604e-06, +5.892441e-06, +8.807944e-04, -2.722740e-10, +2.493489e-05, +8.992304e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000447
 a2 = 24.924102

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 6.336e-06 s
  Stddev    = 2.52e-03 s

Begin point on the trajectory:
  Lon =     0.360008 +/- 0.0004 deg
  Lat =    53.423654 +/- 0.0001 deg
  Ht  = 99366.22 +/- 37.54 m
End point on the trajectory:
  Lon =     0.413684 +/- 0.0007 deg
  Lat =    53.272917 +/- 0.0001 deg
  Ht  = 84679.09 +/- 40.81 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000069,  28.209583,    99335.08,    85475.71,          0.011538,     17.87,     29.92,              66.29, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210929_205825_791_0233984.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.001419,  22.900747,    99366.22,    84679.09,          0.008984,     13.48,     10.05,              65.02, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210929_205827_798_0242176.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,     UK000Z,       0,  0.004467, 2459487.373940856196,  41.78554,  35.62540,               73.44885,  33.35539,        73.46087,       33.37031,     41.78554,     +35.62540,      41.76382,      +35.62882,  3122074.70, -2283722.13,  5178566.24,      53.423336,       +0.360109,   99335.08,  177102.25,       0.00,               62.40,     5.18,      0.00,           40859.28,    -47.73,     28.50,          64.74,  +3.25,  +2.01
  1,     UK000Z,       0,  0.044735, 2459487.373941322323,  41.62568,  35.10843,               73.99609,  33.08213,        73.98879,       33.07313,     41.62568,     +35.10843,      41.63890,      +35.10637,  3122559.42, -2283708.49,  5176845.24,      53.411538,       +0.364342,   98181.47,  176399.54,    1788.01,             1850.40,   123.24,  44402.67,           40859.28,     28.75,    -17.17,          39.16,  +2.21,  +0.98
  2,     UK000Z,       0,  0.084975, 2459487.373941787984,  41.52618,  34.68147,               74.42378,  32.83682,        74.41740,       32.82899,     41.52618,     +34.68147,      41.53785,      +34.67968,  3122952.74, -2283697.43,  5175448.74,      53.401961,       +0.367745,   97245.57,  175838.88,    3238.88,             3301.28,   -94.68,  36055.55,           40859.28,     24.99,    -14.93,          34.15,  +1.88,  +0.65
  3,     UK000Z,       0,  0.125267, 2459487.373942254577,  41.41539,  34.15752,               74.93837,  32.52813,        74.93838,       32.52814,     41.41539,     +34.15752,      41.41588,      +34.15752,  3123430.22, -2283684.00,  5173753.44,      53.390332,       +0.371910,   96109.67,  175173.89,    5000.20,             5062.59,    -4.31,  43713.73,           40859.28,     -0.03,      0.02,           0.04,  +1.33,  +0.11
  4,     UK000Z,       0,  0.165527, 2459487.373942720238,  41.29229,  33.67969,               75.42087,  32.25839,        75.41393,       32.24999,     41.29229,     +33.67969,      41.30506,      +33.67779,  3123865.83, -2283671.74,  5172206.81,      53.379719,       +0.375696,   95073.61,  174579.67,    6607.04,             6669.44,   -67.08,  39911.80,           40795.37,     26.80,    -16.01,          36.89,  +1.43,  +0.22
  5,     UK000Z,       0,  0.205815, 2459487.373943186831,  41.17935,  33.16315,               75.92596,  31.95399,        75.92179,       31.94898,     41.17935,     +33.16315,      41.18740,      +33.16201,  3124330.70, -2283658.67,  5170556.28,      53.368388,       +0.379745,   93968.19,  173960.23,    8321.84,             8384.24,   -23.07,  42563.45,           41029.84,     16.01,     -9.56,          22.12,  +1.18,  -0.02
  6,     UK000Z,       0,  0.246099, 2459487.373943652958,  41.06180,  32.64271,               76.43502,  31.64834,        76.43076,       31.64326,     41.06180,     +32.64271,      41.07009,      +32.64156,  3124796.39, -2283645.57,  5168902.85,      53.357034,       +0.383802,   92861.08,  173354.47,   10039.65,            10102.04,    24.12,  42642.36,           41286.41,     16.20,     -9.67,          22.45,  +1.42,  +0.23
  7,     UK000Z,       0,  0.286387, 2459487.373944119085,  40.96341,  32.13054,               76.92119,  31.33633,        76.92596,       31.34198,     40.96341,     +32.13054,      40.95650,      +32.13181,  3125249.36, -2283632.82,  5167294.57,      53.345986,       +0.387742,   91784.44,  172779.29,   11710.55,            11772.95,    24.25,  41474.09,           41408.93,    -18.04,     10.77,          25.08,  +1.38,  +0.19
  8,     UK000Z,       0,  0.326679, 2459487.373944585677,  40.86875,  31.62167,               77.39954,  31.02339,        77.41448,       31.04100,     40.86875,     +31.62167,      40.84496,      +31.62562,  3125696.19, -2283620.25,  5165708.12,      53.335084,       +0.391626,   90722.65,  172225.75,   13358.77,            13421.17,     1.52,  40906.78,           41432.61,    -56.17,     33.54,          78.35,  +1.39,  +0.21
  9,     UK000Z,       0,  0.366955, 2459487.373945051804,  40.73162,  31.09346,               77.92164,  30.72024,        77.92399,       30.72300,     40.73162,     +31.09346,      40.72920,      +31.09408,  3126162.19, -2283607.14,  5164053.57,      53.323710,       +0.395683,   89615.53,  171663.77,   15077.75,            15140.14,    50.21,  42679.90,           41512.70,     -8.80,      5.26,          12.32,  +1.06,  -0.11
 10,     UK000Z,       0,  0.407231, 2459487.373945517931,  40.61967,  30.58921,               78.40410,  30.41867,        78.40466,       30.41932,     40.61967,     +30.58921,      40.62043,      +30.58936,  3126601.92, -2283594.77,  5162492.31,      53.312974,       +0.399501,   88571.05,  171147.04,   16699.80,            16762.19,     1.98,  40273.40,           41500.04,     -2.07,      1.24,           2.91,  +1.12,  -0.05
 11,     UK000Z,       0,  0.447523, 2459487.373945984058,  40.52814,  30.07274,               78.87904,  30.09511,        78.89064,       30.10854,     40.52814,     +30.07274,      40.51093,      +30.07573,  3127046.64, -2283582.26,  5160913.32,      53.302112,       +0.403363,   87514.95,  170638.60,   18340.26,            18402.66,   -28.50,  40714.40,           41462.52,    -42.86,     25.60,          60.34,  +1.48,  +0.32
 12,     UK000Z,       0,  0.487791, 2459487.373946450185,  40.39449,  29.56382,               79.37660,  29.80088,        79.37279,       29.79649,     40.39449,     +29.56382,      40.40273,      +29.56284,  3127488.06, -2283569.85,  5159346.06,      53.291327,       +0.407195,   86466.91,  170147.95,   19968.55,            20030.95,   -70.16,  40436.36,           41406.02,     14.01,     -8.37,          19.78,  +1.73,  +0.58
 13,     UK000Z,       0,  0.528071, 2459487.373946916312,  40.31824,  29.07192,               79.81645,  29.48427,        79.82858,       29.49816,     40.31824,     +29.07192,      40.30078,      +29.07501,  3127905.62, -2283558.10,  5157863.50,      53.281122,       +0.410810,   85475.71,  169696.34,   21508.83,            21571.23,  -200.33,  38239.23,           41280.02,    -44.38,     26.51,          62.83,  +2.93,  +1.78
  0,     UK002K,       0,  0.000000, 2459487.373940806370, 359.06070,  40.23024,              104.13614,  62.44304,       104.14292,       62.44655,    359.06070,     +40.23024,     359.05451,      +40.23018,  3122061.62, -2283722.50,  5178612.68,      53.423654,       +0.360008,   99366.22,  111806.16,       0.00,               14.15,   142.17,      0.00,           41044.20,     -5.50,      7.37,          16.97,  +2.36,  +2.12
  1,     UK002K,       0,  0.040416, 2459487.373941274360, 359.07066,  39.59144,              105.15304,  62.01451,       105.16562,       62.02091,    359.07066,     +39.59144,     359.05951,      +39.59132,  3122432.45, -2283712.07,  5177296.03,      53.414629,       +0.363206,   98483.62,  111240.62,    1367.91,             1382.06,  -166.00,  33845.84,           41044.20,    -10.11,     13.55,          31.35,  +1.47,  +1.24
  2,     UK002K,       0,  0.080988, 2459487.373941743746, 359.07623,  38.71704,              106.50768,  61.42064,       106.51699,       61.42528,    359.07623,     +38.71704,     359.06831,      +38.71696,  3122933.63, -2283697.97,  5175516.62,      53.402427,       +0.367587,   97291.06,  110500.32,    3216.61,             3230.76,     0.14,  45565.89,           41044.20,     -7.42,      9.94,          23.15,  +1.11,  +0.89
  3,     UK002K,       0,  0.121532, 2459487.373942213133, 359.08379,  37.89804,              107.72729,  60.85125,       107.73687,       60.85593,    359.08379,     +37.89804,     359.07590,      +37.89795,  3123397.24, -2283684.93,  5173870.56,      53.391136,       +0.371626,   96188.14,  109838.31,    4926.76,             4940.91,    28.89,  42180.10,           41044.20,     -7.58,     10.16,          23.81,  +0.98,  +0.78
  4,     UK002K,       0,  0.162084, 2459487.373942682520, 359.09797,  37.07304,              108.90459,  60.26313,       108.92224,       60.27160,    359.09797,     +37.07304,     359.08336,      +37.07288,  3123858.80, -2283671.94,  5172231.77,      53.379890,       +0.375645,   95090.34,  109201.75,    6629.36,             6643.50,    49.75,  41985.48,           41496.88,    -13.89,     18.61,          43.85,  +0.93,  +0.74
  5,     UK002K,       0,  0.202604, 2459487.373943151440, 359.10823,  36.29354,              109.98171,  59.69979,       110.00408,       59.71036,    359.10823,     +36.29354,     359.08987,      +36.29334,  3124290.16, -2283659.81,  5170700.22,      53.369377,       +0.379390,   94064.58,  108627.18,    8220.54,             8234.69,   -39.46,  39269.14,           41307.92,    -17.53,     23.49,          55.66,  +0.94,  +0.76
  6,     UK002K,       0,  0.243204, 2459487.373943621293, 359.09656,  35.38644,              111.21719,  59.04648,       111.21648,       59.04615,    359.09656,     +35.38644,     359.09816,      +35.38645,  3124786.27, -2283645.85,  5168938.80,      53.357281,       +0.383721,   92885.16,  107992.31,   10050.55,            10064.69,   106.82,  45074.01,           41644.69,      0.55,     -0.74,           1.77,  +1.09,  +0.92
  7,     UK002K,       0,  0.283732, 2459487.373944090214, 359.10352,  34.60354,              112.22636,  58.46425,       112.22678,       58.46444,    359.10352,     +34.60354,     359.10433,      +34.60354,  3125210.15, -2283633.93,  5167433.80,      53.346943,       +0.387397,   91877.64,  107470.73,   11614.15,            11628.29,   -10.31,  38580.69,           41529.64,     -0.33,      0.44,           1.06,  +1.00,  +0.84
  8,     UK002K,       0,  0.324288, 2459487.373944559600, 359.10146,  33.77904,              113.26428,  57.84785,       113.25459,       57.84346,    359.10146,     +33.77904,     359.11094,      +33.77912,  3125652.14, -2283621.49,  5165864.50,      53.336159,       +0.391236,   90827.30,  106948.67,   13244.55,            13258.70,   -61.80,  40201.32,           41387.36,      7.55,    -10.13,          24.36,  +0.83,  +0.68
  9,     UK002K,       0,  0.364924, 2459487.373945029918, 359.11653,  32.84434,              114.37795,  57.12979,       114.37682,       57.12929,    359.11653,     +32.84434,     359.11898,      +32.84435,  3126148.13, -2283607.54,  5164103.48,      53.324053,       +0.395563,   89648.92,  106390.13,   15074.14,            15088.29,    82.58,  45023.95,           41513.79,      0.88,     -1.18,           2.85,  +0.83,  +0.70
 10,     UK002K,       0,  0.405524, 2459487.373945500236, 359.11698,  31.96134,              115.40684,  56.44998,       115.39797,       56.44607,    359.11698,     +31.96134,     359.12605,      +31.96142,  3126612.06, -2283594.49,  5162456.29,      53.312726,       +0.399599,   88546.97,  105893.21,   16785.47,            16799.62,   110.19,  42150.91,           41611.73,      6.93,     -9.29,          22.58,  +0.85,  +0.73
 11,     UK002K,       0,  0.446100, 2459487.373945969623, 359.11202,  31.11774,              116.36224,  55.79568,       116.33995,       55.78597,    359.11202,     +31.11774,     359.13238,      +31.11793,  3127051.39, -2283582.13,  5160896.47,      53.301996,       +0.403411,   87503.69,  105445.73,   18406.02,            18420.17,    48.01,  39938.62,           41603.80,     17.43,    -23.40,          57.07,  +1.07,  +0.95
 12,     UK002K,       0,  0.486656, 2459487.373946439009, 359.12557,  30.31164,              117.22371,  55.15415,       117.21112,       55.14872,    359.12557,     +30.31164,     359.13803,      +30.31175,  3127467.96, -2283570.41,  5159417.43,      53.291818,       +0.407017,   86514.62,  105042.39,   19942.65,            19956.80,   -97.25,  37889.16,           41476.55,      9.87,    -13.25,          32.45,  +1.17,  +1.06
 13,     UK002K,       0,  0.527192, 2459487.373946908396, 359.14634,  29.54614,              118.00674,  54.53524,       118.01342,       54.53810,    359.14634,     +29.54614,     359.14299,      +29.54608,  3127860.78, -2283559.36,  5158022.71,      53.282218,       +0.410407,   85582.12,  104680.89,   21391.68,            21405.82,  -329.29,  35746.61,           41232.96,     -5.26,      7.06,          17.34,  +1.60,  +1.50
 14,     UK002K,       0,  0.567700, 2459487.373947376851, 359.12915,  28.79944,              118.79235,  53.94615,       118.77294,       53.93791,    359.12915,     +28.79944,     359.14758,      +28.79961,  3128241.25, -2283548.66,  5156671.83,      53.272917,       +0.413684,   84679.09,  104348.51,   22795.15,            22809.30,  -605.72,  34646.90,           40910.24,     15.32,    -20.57,          50.70,  +2.77,  +2.68

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.