Orbital Analysis for matched events on 20210813_005150.591_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 35.82° Bg -7.06° Vg 69.60km/s
mass 0.05569g, abs. mag -1.6
Path Details
------------
start 2.22° 53.27° 99.65km
end   1.97° 53.32° 91.72km

Orbit Details
-------------
Semimajor axis -25.94A.U., eccentricity 1.03, inclination 167.14°, Period 1000000000.00Y, LA Sun 140.22°, 

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: 2459439.536002213135
Time: 2021-08-13 00:51:50.591215 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002F
 Convergence angle = 9.48542 deg
 R.A. =  39.81336  Dec = +10.19558 deg
Intersection 2 - Stations: UK000Z and UK002K
 Convergence angle = 36.98666 deg
 R.A. =  35.81948  Dec =  +7.78189 deg
Intersection 3 - Stations: UK000Z and UK0032
 Convergence angle = 28.79412 deg
 R.A. =  36.77804  Dec =  +8.36790 deg
Intersection 4 - Stations: UK002F and UK002K
 Convergence angle = 27.54127 deg
 R.A. =  35.21914  Dec =  +6.24688 deg
Intersection 5 - Stations: UK002F and UK0032
 Convergence angle = 19.33447 deg
 R.A. =  35.91017  Dec =  +6.84875 deg
Intersection 6 - Stations: UK002K and UK0032
 Convergence angle = 8.21459 deg
 R.A. =  34.45269  Dec =  +4.27334 deg

Best intersection: Stations UK000Z and UK002K with Qconv = 36.99 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3570148.33 +/- 1061.17 m
 Y =  -1525628.35 +/- 916.04 m
 Z =   5168182.16 +/- 404.05 m
 Vx =    56641.03 +/- 1278.75 m/s
 Vy =    40979.58 +/- 957.58 m/s
 Vz =     8921.13 +/- 1000.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000Z: -0.006615 s
    UK002F: -0.009885 s
    UK002K: 0.000000 s
    UK0032: -0.006925 s

Reference point on the trajectory:
  Time: 2021-08-13 00:51:50.591215 UTC
  Lon     = ++2.215225 +/- 0.0186 deg
  Lat     = +53.267057 +/- 0.0024 deg
  Lat geo = +53.085258 +/- 0.0024 deg
  Ht      =   99537.92 +/- 687.05 m

  JD dynamic   = 2459439.536802954040 
  LST apparent = 336.8615703915 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  35.88560 +/- 0.3983 deg
  Dec       =  +7.27205 +/- 0.7079 deg
  Azimuth   = 111.40897 +/- 0.7754 deg
  Elevation = +24.00346 +/- 0.3872 deg
  Vavg      =  69.53160 +/- 2.8156 km/s
  Vinit     =  70.47778 +/- 1.1049 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  36.00461 +/- 0.3983 deg
  Dec       =  +7.24714 +/- 0.7079 deg
  Azimuth   = 111.31738 +/- 0.7754 deg
  Elevation = +23.91656 +/- 0.3872 deg
  Vavg      =  69.77254 +/- 2.8156 km/s
  Vinit     =  70.71873 +/- 1.1049 km/s
Radiant (geocentric, J2000):
  R.A.   =  35.86554 +/- 0.3960 deg
  Dec    =  +6.78891 +/- 0.7206 deg
  Vg     =  69.59736 +/- 1.1182 km/s
  Vinf   =  70.47778 +/- 1.1049 km/s
  Zc     =  65.93029 +/- 0.3846 deg
  Zg     =  66.39740 +/- 0.3987 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  35.81961 +/- 0.5953 deg
  Bg     =  -7.06206 +/- 0.5677 deg
  Vh     =  42.25283 +/- 0.9754 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  25.21536 +/- 1.1771 deg
  Bh     = -11.68315 +/- 0.9775 deg
  Vh_x   = -37.43471 +/- 0.6564 km/s
  Vh_y   = -17.62770 +/- 1.2231 km/s
  Vh_z   =   8.55617 +/- 0.6153 km/s
Orbit:
  La Sun = 140.223069 +/- -0.0000 deg
  a      = -25.935997 +/- 4.7056 AU
  e      =   1.032476 +/- 0.0878
  i      = 167.144956 +/- 1.1379 deg
  peri   =  48.109668 +/- 3.2835 deg
  node   = 320.239452 +/- 0.0021 deg
  Pi     =   8.349121 +/- 3.2816 deg
  q      =   0.842297 +/- 0.0164 AU
  f      = 311.906061 +/- 3.2854 deg
  M      =        nan +/- nan deg
  Q      = -52.714292 +/- 9.3974 AU
  n      =   0.007462 +/- 0.0657 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -1.318992 +/- 0.5413
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000263
 a2 = 51.319712

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 9.129e-07 s
  Stddev    = 9.55e-04 s

Begin point on the trajectory:
  Lon =     2.218619 +/- 0.0171 deg
  Lat =    53.266259 +/- 0.0018 deg
  Ht  = 99647.93 +/- 644.16 m
End point on the trajectory:
  Lon =     1.971548 +/- 0.0109 deg
  Lat =    53.323732 +/- 0.0009 deg
  Ht  = 91721.97 +/- 414.93 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,  33.141652,   0.000000,    98607.40,    91721.97,          0.017658,     81.57,     24.11,              22.86, 0.1509,    True,    True, {"ff_name": "FF_UK000Z_20210813_005142_110_0408320.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   2.789872,  13.263257,    97694.40,    93123.79,          0.023409,    116.55,     32.60,              48.95, 0.5687,    True,    True, {"ff_name": "FF_UK002F_20210813_005141_402_0386560.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000456,  49.894795,    99647.93,    91733.50,          0.023441,     77.33,     13.92,              11.42, 0.0392,    True,    True, {"ff_name": "FF_UK002K_20210813_005150_060_0413952.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.333021,  27.062004,    97417.04,    91982.10,          0.008618,     24.89,      5.48,              30.07, 0.2510,    True,    True, {"ff_name": "FF_UK0032_20210813_005146_288_0419840.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,  0.032165, 2459439.536002727691,  56.15135,  19.06210,               83.47431,  19.13914,        83.47398,       19.14078,     56.15135,     +19.06210,      56.15035,      +19.06357,  3568309.34, -1526958.86,  5167892.52,      53.273805,       +2.186311,   98607.40,  283187.91,       0.00,             2288.24,   -50.54,      0.00,           71034.12,     -2.34,     -7.93,           6.02,  +4.33,  +2.07
  1,     UK000Z,       0,  0.072213, 2459439.536003191490,  56.37143,  19.15831,               83.23938,  19.08239,        83.23615,       19.09799,     56.37143,     +19.15831,      56.36350,      +19.17233,  3566000.38, -1528629.38,  5167528.85,      53.282271,       +2.150049,   97440.01,  280533.95,    2873.01,             5161.25,    -0.02,  71739.22,           71034.12,    -22.06,    -74.63,          57.22,  +1.36,  -0.88
  2,     UK000Z,       0,  0.112253, 2459439.536003654823,  56.58072,  19.26385,               83.00674,  19.03935,        83.00331,       19.05580,     56.58072,     +19.26385,      56.57254,      +19.27865,  3563780.42, -1530235.52,  5167179.20,      53.290403,       +2.115152,   96318.60,  277986.18,    5635.28,             7923.52,   -59.68,  68987.81,           71034.12,    -23.06,    -78.03,          60.38,  +1.43,  -0.79
  3,     UK000Z,       0,  0.152309, 2459439.536004118621,  56.81710,  19.35943,               82.75998,  18.97251,        82.75210,       19.00989,     56.81710,     +19.35943,      56.79853,      +19.39311,  3561428.60, -1531937.05,  5166808.78,      53.299010,       +2.078165,   95131.65,  275292.43,    8561.63,            10849.86,    43.61,  73056.30,           71034.12,    -51.92,   -175.62,         137.22,  +1.12,  -1.08
  4,     UK000Z,       0,  0.192305, 2459439.536004581489,  56.98745,  19.50253,               82.53269,  18.98190,        82.53517,       18.97008,     56.98745,     +19.50253,      56.99396,      +19.49188,  3559433.40, -1533380.57,  5166494.53,      53.306305,       +2.046739,   94125.52,  273009.49,   11044.23,            13332.47,  -292.62,  62071.35,           69377.91,     16.28,     55.10,          43.41,  +1.29,  -0.89
  5,     UK000Z,       0,  0.232353, 2459439.536005044822,  57.25041,  19.62887,               82.24525,  18.92320,        82.24668,       18.91643,     57.25041,     +19.62887,      57.25451,      +19.62277,  3556828.65, -1535265.10,  5166084.27,      53.315820,       +2.005733,   92813.21,  270037.86,   14285.29,            16573.53,   125.95,  80929.42,           70555.00,      9.22,     31.19,          24.84,  +1.67,  -0.49
  6,     UK000Z,       0,  0.272397, 2459439.536005508155,  57.47511,  19.73398,               82.00174,  18.87091,        82.00179,       18.87067,     57.47511,     +19.73398,      57.47607,      +19.73376,  3554660.68, -1536833.61,  5165742.81,      53.323732,       +1.971548,   91721.97,  267567.72,   16982.87,            19271.11,     1.31,  67365.25,           70633.61,      0.31,      1.06,           0.86,  +2.73,  +0.59
  0,     UK002F,       0,  0.063544, 2459439.536003181245,  80.44999,  35.17094,               55.11248,  17.74240,        55.11914,       17.71826,     80.44999,     +35.17094,      80.46219,      +35.14806,  3566503.71, -1528265.23,  5167608.12,      53.280426,       +2.157923,   97694.40,  300026.34,       0.00,             4534.96,   -15.33,      0.00,           69804.77,     35.20,    125.86,          89.85,  +1.98,  -0.41
  1,     UK002F,       0,  0.103640, 2459439.536003645509,  80.93945,  35.34592,               54.66923,  17.63275,        54.67618,       17.60774,     80.93945,     +35.34592,      80.95216,      +35.32215,  3564106.81, -1529999.37,  5167230.61,      53.289207,       +2.120263,   96483.42,  298085.53,    2982.43,             7517.39,   141.22,  74382.25,           69804.77,     36.26,    129.67,          93.17,  +0.95,  -1.42
  2,     UK002F,       0,  0.143728, 2459439.536004109308,  81.36278,  35.48475,               54.29450,  17.52937,        54.29911,       17.51291,     81.36278,     +35.48475,      81.37130,      +35.46907,  3562089.36, -1531458.99,  5166912.85,      53.296592,       +2.088516,   95465.02,  296464.11,    5492.72,            10027.68,  -173.80,  62619.47,           69804.77,     23.74,     84.88,          61.32,  +0.61,  -1.75
  3,     UK002F,       0,  0.183828, 2459439.536004573572,  81.87433,  35.65468,               53.84088,  17.40777,        53.84387,       17.39717,     81.87433,     +35.65468,      81.88006,      +35.64456,  3559678.61, -1533203.16,  5166533.15,      53.305409,       +2.050585,   94249.14,  294544.90,    8492.40,            13027.36,    -0.29,  74804.88,           69804.77,     15.20,     54.35,          39.52,  +1.42,  -0.93
  4,     UK002F,       0,  0.223952, 2459439.536005037837,  82.37383,  35.77755,               53.42616,  17.25664,        53.41728,       17.28770,     82.37383,     +35.77755,      82.35937,      +35.80731,  3557445.34, -1534818.92,  5166181.41,      53.313568,       +2.015408,   93123.79,  292782.71,   11271.22,            15806.18,   -49.31,  69255.95,           69955.52,    -44.34,   -158.44,         115.91,  +2.48,  +0.15
  0,     UK002K,       0,  0.000000, 2459439.536002213135,  39.88786,  17.72073,               98.86287,  28.58326,        98.86044,       28.57971,     39.88786,     +17.72073,      39.89157,      +17.71925,  3570365.65, -1525471.12,  5168216.39,      53.266259,       +2.218619,   99647.93,  203102.34,       0.00,              270.41,   198.55,      0.00,           72164.94,      2.62,     14.47,          14.94,  +4.59,  +3.05
  1,     UK002K,       0,  0.039884, 2459439.536002674606,  39.95105,  17.89685,               98.68513,  28.68476,        98.67962,       28.67668,     39.95105,     +17.89685,      39.96011,      +17.89348,  3567675.13, -1527417.71,  5167792.63,      53.276131,       +2.176419,   98286.64,  199809.24,    3347.79,             3077.38,   194.57,  83938.14,           72164.94,      5.84,     32.32,          33.90,  +2.41,  +0.91
  2,     UK002K,       0,  0.079800, 2459439.536003136542,  40.02309,  18.03035,               98.52966,  28.74742,        98.53455,       28.75462,     40.02309,     +18.03035,      40.01485,      +18.03336,  3565580.08, -1528933.47,  5167462.65,      53.283811,       +2.143495,   97227.62,  197244.35,    5954.63,             5684.22,   -11.77,  65308.25,           72164.94,     -5.14,    -28.38,          30.16,  +2.16,  +0.68
  3,     UK002K,       0,  0.119668, 2459439.536003598012,  40.02855,  18.20274,               98.40332,  28.87968,        98.37576,       28.83947,     40.02855,     +18.20274,      40.07484,      +18.18610,  3563351.94, -1530545.52,  5167111.71,      53.291971,       +2.108466,   96102.27,  194518.63,    8727.09,             8456.67,   -49.13,  69540.85,           72164.94,     28.16,    156.67,         168.80,  +2.01,  +0.57
  4,     UK002K,       0,  0.159576, 2459439.536004059948,  40.10942,  18.35544,               98.22641,  28.95201,        98.20988,       28.92775,     40.10942,     +18.35544,      40.13753,      +18.34536,  3561092.83, -1532179.98,  5166755.90,      53.300238,       +2.072927,   94962.27,  191756.81,   11538.07,            11267.66,   -50.77,  70436.64,           71328.23,     16.75,     93.03,         101.68,  +1.67,  +0.26
  5,     UK002K,       0,  0.199468, 2459439.536004521418,  40.18281,  18.52584,               98.04314,  29.04250,        98.02990,       29.02301,     40.18281,     +18.52584,      40.20562,      +18.51773,  3558717.88, -1533898.24,  5166381.83,      53.308920,       +2.035546,   93764.91,  188855.73,   14493.19,            14222.78,    92.85,  74077.99,           71482.00,     13.25,     73.54,          81.61,  +1.98,  +0.60
  6,     UK002K,       0,  0.239364, 2459439.536004983354,  40.24828,  18.68225,               97.87634,  29.12656,        97.86517,       29.11007,     40.24828,     +18.68225,      40.26782,      +18.67539,  3556608.95, -1535424.04,  5166049.67,      53.316622,       +2.002309,   92702.58,  186280.21,   17117.30,            16846.89,   -94.82,  65773.78,           70925.29,     11.05,     61.32,          68.99,  +2.05,  +0.70
  7,     UK002K,       0,  0.279268, 2459439.536005445290,  40.30704,  18.82987,               97.72132,  29.20758,        97.71055,       29.19165,     40.30704,     +18.82987,      40.32610,      +18.82324,  3554683.63, -1536817.01,  5165746.43,      53.323648,       +1.971931,   91733.50,  183929.50,   19512.96,            19242.55,  -511.51,  60035.60,           69785.61,     10.53,     58.44,          66.60,  +2.69,  +1.37
  0,     UK0032,       1,  0.031402, 2459439.536002709996,  53.19075,  32.81788,               76.79481,  32.21045,        76.79225,       32.19796,     53.19075,     +32.81788,      53.20279,      +32.81044,  3568185.81, -1527048.23,  5167873.06,      53.274258,       +2.184387,   98544.91,  181512.37,       0.00,             2441.94,   156.93,      0.00,           69439.59,      8.63,     39.22,          45.63,  +4.03,  +2.74
  1,     UK0032,       0,  0.071274, 2459439.536003171466,  53.51307,  33.17444,               76.27167,  32.27704,        76.27124,       32.27487,     53.51307,     +33.17444,      53.51519,      +33.17314,  3565954.94, -1528662.26,  5167521.69,      53.282437,       +2.149345,   97417.04,  179108.87,    2775.84,             5217.79,   122.68,  69618.90,           69439.59,      1.48,      6.72,           7.93,  +0.94,  -0.33
  2,     UK0032,       0,  0.111134, 2459439.536003632937,  53.84796,  33.55328,               75.72161,  32.35218,        75.72186,       32.35347,     53.84796,     +33.55328,      53.84686,      +33.55405,  3563669.38, -1530315.85,  5167161.71,      53.290809,       +2.113422,   96262.54,  176658.30,    5619.74,             8061.68,   157.33,  71347.09,           69439.59,     -0.86,     -3.93,           4.69,  +0.66,  -0.58
  3,     UK0032,       0,  0.150994, 2459439.536004093941,  54.16642,  33.92004,               75.19350,  32.42825,        75.19324,       32.42683,     54.16642,     +33.92004,      54.16813,      +33.91919,  3561532.15, -1531862.13,  5166825.09,      53.298631,       +2.079796,   95183.89,  174377.27,    8279.07,            10721.02,     7.42,  66716.82,           69439.59,      0.93,      4.25,           5.14,  +0.70,  -0.51
  4,     UK0032,       0,  0.190858, 2459439.536004555412,  54.49298,  34.27798,               74.66745,  32.49331,        74.66820,       32.49747,     54.49298,     +34.27798,      54.48940,      +34.28049,  3559466.60, -1533356.55,  5166499.76,      53.306184,       +2.047269,   94142.26,  172183.03,   10849.21,            13291.15,  -231.97,  64472.59,           68237.50,     -2.71,    -12.33,          15.12,  +0.67,  -0.51
  5,     UK0032,       0,  0.230678, 2459439.536005016416,  54.85248,  34.71407,               74.05374,  32.59485,        74.05067,       32.57733,     54.85248,     +34.71407,      54.87037,      +34.70345,  3557105.90, -1535064.50,  5166127.94,      53.314808,       +2.010092,   92952.83,  169689.83,   13786.60,            16228.55,  -101.00,  73766.80,           68683.06,     11.27,     51.21,          63.74,  +1.08,  -0.07
  6,     UK0032,       0,  0.270546, 2459439.536005477887,  55.18195,  35.06390,               73.53336,  32.65256,        73.53164,       32.64237,     55.18195,     +35.06390,      55.19281,      +35.05770,  3555177.69, -1536459.56,  5165824.24,      53.321846,       +1.979674,   91982.10,  167662.64,   16185.86,            18627.80,  -511.55,  60180.01,           67930.99,      6.47,     29.40,          37.04,  +1.81,  +0.69

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.