Orbital Analysis for matched events on 20211103_022837.689_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 108.08° Bg -8.24° Vg 66.54km/s
mass 0.02044g, abs. mag -0.7
best visual mag 0.4
Path Details
------------
start 2.29° 50.60° 110.00km
end   2.21° 50.66° 100.32km

Orbit Details
-------------
Semimajor axis 9.81A.U., eccentricity 0.94, inclination 162.81°, Period 30.73Y, LA Sun 220.59°, last Perihelion 1991-03-22

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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: 2459521.603214004077
Time: 2021-11-03 02:28:37.730105 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK002B
 Convergence angle = 16.69406 deg
 R.A. = 107.28573  Dec = +13.61947 deg
Intersection 2 - Stations: UK0004 and UK002N
 Convergence angle = 29.94036 deg
 R.A. = 109.44231  Dec = +14.49581 deg
Intersection 3 - Stations: UK0004 and UK0045
 Convergence angle = 27.10629 deg
 R.A. = 108.36338  Dec = +14.06061 deg
Intersection 4 - Stations: UK002B and UK002N
 Convergence angle = 13.27435 deg
 R.A. = 112.34373  Dec = +14.10889 deg
Intersection 5 - Stations: UK002B and UK0045
 Convergence angle = 10.42037 deg
 R.A. = 110.21622  Dec = +13.91595 deg
Intersection 6 - Stations: UK002N and UK0045
 Convergence angle = 2.88509 deg
 R.A. = 119.92988  Dec = +12.92824 deg

Best intersection: Stations UK0004 and UK002N with Qconv = 29.94 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    572188.55 +/- 483.99 m
 Y =   4088840.38 +/- 380.35 m
 Z =   4991039.95 +/- 213.81 m
 Vx =   -20892.61 +/- 939.79 m/s
 Vy =    61948.80 +/- 3701.55 m/s
 Vz =    16644.61 +/- 1405.01 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.013070e+05, -1.530404e+05, -8.861491e+04, +9.979060e+05, -8.373202e+05, -4.607599e+05
-1.530404e+05, +1.211333e+05, +6.741104e+04, -7.467206e+05, +6.264485e+05, +3.392494e+05
-8.861491e+04, +6.741104e+04, +4.382865e+04, -4.694158e+05, +3.893106e+05, +2.431005e+05
+9.979060e+05, -7.467206e+05, -4.694158e+05, +5.495651e+06, -4.538715e+06, -2.678462e+06
-8.373202e+05, +6.264485e+05, +3.893106e+05, -4.538715e+06, +3.760277e+06, +2.191350e+06
-4.607599e+05, +3.392494e+05, +2.431005e+05, -2.678462e+06, +2.191350e+06, +1.470623e+06

Timing offsets (from input data):
    UK0004: -0.000177 s
    UK002B: -0.000424 s
    UK002N: -0.000198 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:28:37.730105 UTC
  Lon     = ++2.302242 +/- 0.0074 deg
  Lat     = +50.587441 +/- 0.0011 deg
  Lat geo = +50.401808 +/- 0.0011 deg
  Ht      =  111923.81 +/- 355.85 m

  JD dynamic   = 2459521.604015209712 
  LST apparent = 82.0338132139 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 108.63699 +/- 1.8129 deg
  Dec       = +14.28372 +/- 0.5342 deg
  Azimuth   = 139.75986 +/- 2.6356 deg
  Elevation = +47.79539 +/- 0.4987 deg
  Vavg      =  63.44790 +/- 2.8725 km/s
  Vinit     =  67.46257 +/- 3.2247 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 108.87242 +/- 1.8129 deg
  Dec       = +14.25540 +/- 0.5342 deg
  Azimuth   = 139.47056 +/- 2.6356 deg
  Elevation = +47.67291 +/- 0.4987 deg
  Vavg      =  63.57910 +/- 2.8725 km/s
  Vinit     =  67.59377 +/- 3.2247 km/s
Radiant (geocentric, J2000):
  R.A.   = 108.46097 +/- 1.8083 deg
  Dec    = +14.04931 +/- 0.5617 deg
  Vg     =  66.54417 +/- 3.2718 km/s
  Vinf   =  67.46257 +/- 3.2247 km/s
  Zc     =  42.06305 +/- 0.5023 deg
  Zg     =  42.36501 +/- 0.4848 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 108.08264 +/- 1.7120 deg
  Bg     =  -8.23710 +/- 0.7280 deg
  Vh     =  41.20571 +/- 2.4287 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  90.81647 +/- 4.2677 deg
  Bh     = -13.37755 +/- 1.3256 deg
  Vh_x   =   0.57123 +/- 2.8201 km/s
  Vh_y   = -40.08359 +/- 2.6255 km/s
  Vh_z   =   9.53363 +/- 0.4490 km/s
Orbit:
  La Sun = 220.589675 +/- 0.0000 deg
  a      =   9.809862 +/- 21.5568 AU
  e      =   0.939338 +/- 0.1060
  i      = 162.806914 +/- 2.8944 deg
  peri   =  79.988903 +/- 14.8897 deg
  node   =  40.588199 +/- 0.0005 deg
  Pi     = 120.577102 +/- 14.8902 deg
  q      =   0.595090 +/- 0.0958 AU
  f      = 280.007950 +/- 14.8893 deg
  M      = 358.747607 +/- nan deg
  Q      =  19.024634 +/- 43.0987 AU
  n      =   0.032078 +/- 0.1237 deg/day
  T      =  30.725218 +/- nan years
  Last perihelion JD = 2448338.064405 (1991-03-22 13:32:44.561328) +/- 64651.6326 days
  Tj     =  -0.369220 +/- 1.2581
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.686670e-03, +5.538999e-03, -3.163719e+03, -2.584237e-05, -8.607701e-01, +1.715931e-01
q   , +5.538999e-03, +7.050682e-03, -3.002524e+03, -3.302835e-05, -1.092869e+00, +2.256291e-01
Tp  , -3.163719e+03, -3.002524e+03, +4.571957e+09, +1.372494e+01, +4.703025e+05, -8.489647e+04
node, -2.584237e-05, -3.302835e-05, +1.372494e+01, +1.788014e-07, +5.128405e-03, -1.176765e-03
peri, -8.607701e-01, -1.092869e+00, +4.703025e+05, +5.128405e-03, +1.694210e+02, -3.498499e+01
i   , +1.715931e-01, +2.256291e-01, -8.489647e+04, -1.176765e-03, -3.498499e+01, +7.906007e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.023878
 a2 = 41.100900

Mean time residuals from time vs. length:
  Station with reference time: UK0045
  Avg. res. = 9.152e-07 s
  Stddev    = 9.57e-04 s

Begin point on the trajectory:
  Lon =     2.286605 +/- 0.0063 deg
  Lat =    50.599200 +/- 0.0012 deg
  Ht  = 110001.67 +/- 341.97 m
End point on the trajectory:
  Lon =     2.206633 +/- 0.0036 deg
  Lat =    50.658571 +/- 0.0004 deg
  Ht  = 100315.89 +/- 164.48 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,   109873.28,   100315.89,          0.016068,     13.44,     47.62,              32.08, 0.2821,    True,    True, {"ff_name": "FF_UK0004_20211103_022829_142_0843776.fits"}
    UK002B,   False,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   108856.50,   101245.91,          0.029396,     77.64,    120.12,              41.66, 0.4419,    True,    True, {"ff_name": "FF_UK002B_20211103_022832_675_0833536.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   109841.78,   100575.52,          0.025425,     78.61,     78.26,              31.21, 0.2686,    True,    True, {"ff_name": "FF_UK002N_20211103_022835_052_0837376.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   110001.67,   100572.97,          0.021816,     55.46,     59.16,              26.33, 0.1967,    True,    True, {"ff_name": "FF_UK0045_20211103_022829_594_0841984.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,       1,  0.003271, 2459521.603214045987, 140.49290,  23.84751,               96.67019,  36.73217,        96.68305,       36.71538,    140.49290,     +23.84751,     140.49733,      +23.82822,   572200.30,  4088805.55,  4991030.59,      50.587613,       +2.302166,  111895.71,  184267.32,       0.00,               37.94,   161.86,      0.00,           65201.26,     60.98,     17.21,          70.93,  +5.67,  +4.34
  1,     UK0004,       0,  0.043543, 2459521.603214512113, 140.97647,  23.92015,               96.20797,  36.48095,        96.20764,       36.48139,    140.97647,     +23.92015,     140.97654,      +23.92066,   573045.94,  4086298.13,  4990356.89,      50.599986,       +2.285544,  109873.28,  181935.33,    2730.59,             2768.53,   175.60,  67803.64,           65201.26,     -1.58,     -0.45,           1.86,  +2.26,  +0.96
  2,     UK0004,       0,  0.083775, 2459521.603214977775, 141.42742,  24.03325,               95.74012,  36.27924,        95.75749,       36.25692,    141.42742,     +24.03325,     141.43351,      +24.00743,   573831.84,  4083967.85,  4989730.78,      50.611489,       +2.270067,  107994.18,  179777.62,    5268.27,             5306.21,    -0.87,  63076.25,           65201.26,     79.58,     22.44,          94.87,  +1.14,  -0.13
  3,     UK0004,       0,  0.124047, 2459521.603215443902, 141.91748,  24.10951,               95.27372,  36.02588,        95.28135,       36.01615,    141.91748,     +24.10951,     141.92046,      +24.09820,   574647.86,  4081548.26,  4989080.68,      50.623439,       +2.253986,  106043.51,  177548.36,    7903.23,             7941.17,   -82.77,  65428.95,           65201.26,     34.37,      9.71,          41.49,  +0.68,  -0.57
  4,     UK0004,       0,  0.164339, 2459521.603215910029, 142.45783,  24.21040,               94.74760,  35.75832,        94.75673,       35.74678,    142.45783,     +24.21040,     142.46139,      +24.19694,   575529.46,  4078934.22,  4988378.33,      50.636354,       +2.236606,  103936.62,  175153.57,   10749.92,            10787.86,    45.73,  70651.70,           66244.29,     40.34,     11.39,          49.36,  +0.41,  -0.81
  5,     UK0004,       0,  0.204619, 2459521.603216376156, 142.97898,  24.30793,               94.24246,  35.50007,        94.25439,       35.48511,    142.97898,     +24.30793,     142.98352,      +24.29040,   576357.15,  4076480.03,  4987718.93,      50.648485,       +2.220260,  101959.05,  172917.25,   13422.56,            13460.50,     0.97,  66351.32,           66557.42,     51.82,     14.62,          64.22,  +0.84,  -0.35
  6,     UK0004,       0,  0.244879, 2459521.603216842283, 143.43001,  24.35435,               93.83945,  35.24895,        93.82959,       35.26122,    143.43001,     +24.35435,     143.42807,      +24.36878,   577045.03,  4074440.40,  4987170.91,      50.658571,       +2.206633,  100315.89,  171066.70,   15643.72,            15681.66,  -493.91,  55170.54,           65449.44,    -42.15,    -11.93,          52.83,  +3.29,  +2.12
  0,     UK002B,       0,  0.064706, 2459521.603214816656, 151.64274,  14.18136,               93.78507,  21.47803,        93.75752,       21.50259,    151.64274,     +14.18136,     151.64665,      +14.21668,   573471.17,  4085037.28,  4990018.12,      50.606209,       +2.277153,  108856.50,  282419.57,       0.00,             4141.60,   120.93,      0.00,           67594.02,   -146.95,    -95.00,         127.80,  +3.79,  +1.54
  1,     UK002B,       0,  0.104962, 2459521.603215282317, 151.99617,  14.17220,               93.51196,  21.24823,        93.50324,       21.25599,    151.99617,     +14.17220,     151.99778,      +14.18338,   574253.63,  4082717.20,  4989394.75,      50.617665,       +2.261734,  106985.85,  280524.87,    2526.59,             6668.18,   -68.26,  62762.96,           67594.02,    -46.24,    -29.85,          40.46,  +2.29,  +0.05
  2,     UK002B,       0,  0.145254, 2459521.603215748910, 152.37342,  14.10722,               93.25941,  20.96094,        93.22864,       20.98828,    152.37342,     +14.10722,     152.37822,      +14.14668,   575089.81,  4080237.83,  4988728.59,      50.629913,       +2.245250,  104987.25,  278512.04,    5226.63,             9368.23,   -86.42,  67011.89,           67594.02,   -161.92,   -104.69,         142.80,  +1.08,  -1.14
  3,     UK002B,       0,  0.185562, 2459521.603216215502, 152.79669,  14.08051,               92.94442,  20.67361,        92.92515,       20.69070,    152.79669,     +14.08051,     152.80014,      +14.10522,   576003.48,  4077528.71,  4988000.69,      50.643301,       +2.227233,  102804.02,  276327.24,    8176.87,            12318.47,   144.54,  73192.53,           67594.02,   -100.65,    -65.02,          89.44,  +1.11,  -1.10
  4,     UK002B,       0,  0.225790, 2459521.603216681164, 153.10121,  14.04781,               92.72752,  20.45661,        92.70638,       20.47534,    153.10121,     +14.04781,     153.10512,      +14.07493,   576655.68,  4075594.87,  4987481.10,      50.652862,       +2.214311,  101245.91,  274773.32,   10282.84,            14424.44,  -463.38,  52350.76,           65090.40,   -109.83,    -70.95,          98.15,  +3.00,  +0.81
  0,     UK002N,       0,  0.035990, 2459521.603214425500, 139.78617,   8.72396,              108.06842,  24.84849,       108.02398,       24.88200,    139.78617,      +8.72396,     139.79849,       +8.77499,   573059.11,  4086259.07,  4990346.39,      50.600178,       +2.285318,  109841.78,  251408.18,       0.00,             2811.07,   727.66,      0.00,           61330.18,   -162.20,   -163.13,         188.74,  +2.75,  +0.75
  1,     UK002N,       0,  0.076034, 2459521.603214889299, 140.03434,   8.74472,              107.83897,  24.71733,       107.85904,       24.70215,    140.03434,      +8.74472,     140.02919,       +8.72161,   573676.37,  4084428.83,  4989854.64,      50.609213,       +2.273128,  108365.87,  249691.67,    1993.14,             4804.21,    19.33,  49773.76,           61330.18,     73.10,     73.14,          85.42,  +2.32,  +0.33
  2,     UK002N,       0,  0.116182, 2459521.603215353563, 140.35274,   8.65838,              107.62009,  24.45868,       107.62998,       24.45122,    140.35274,      +8.65838,     140.35052,       +8.64700,   574521.23,  4081923.73,  4989181.56,      50.621584,       +2.256489,  106346.19,  247352.84,    4721.20,             7532.27,    38.90,  67950.10,           61330.18,     35.68,     35.73,          42.11,  +1.97,  +0.00
  3,     UK002N,       0,  0.156318, 2459521.603215818293, 140.66036,   8.58536,              107.40231,  24.21689,       107.41115,       24.21023,    140.66036,      +8.58536,     140.65858,       +8.57518,   575317.02,  4079564.11,  4988547.57,      50.633242,       +2.240788,  104444.25,  245156.70,    7290.84,            10101.91,   -99.14,  64023.33,           61330.18,     31.63,     31.68,          37.67,  +1.28,  -0.67
  4,     UK002N,       0,  0.196466, 2459521.603216283023, 140.97766,   8.49824,              107.18608,  23.95789,       107.18436,       23.95918,    140.97766,      +8.49824,     140.97896,       +8.50021,   576130.02,  4077153.48,  4987899.88,      50.645156,       +2.224735,  102501.67,  242920.98,    9916.03,            12727.10,  -182.44,  65387.71,           62632.33,     -6.07,     -6.08,           7.30,  +1.25,  -0.68
  5,     UK002N,       0,  0.236618, 2459521.603216747753, 141.29726,   8.40691,              106.97122,  23.69399,       106.95619,       23.70527,    141.29726,      +8.40691,     141.30242,       +8.42422,   576936.33,  4074762.69,  4987257.51,      50.656977,       +2.208795,  100575.52,  240711.47,   12519.61,            15330.68,  -287.61,  64843.16,           63320.19,    -52.78,    -52.95,          64.06,  +3.55,  +1.64
  0,     UK0045,       1,  0.000000, 2459521.603214004077, 134.88367,  10.73853,              111.56463,  29.69242,       111.60192,       29.66218,    134.88367,     +10.73853,     134.87535,      +10.69497,   572355.69,  4088344.78,  4990906.79,      50.589886,       +2.299159,  111524.03,  219470.52,       0.00,              539.72,   884.31,      0.00,           60689.61,    123.90,    116.05,         159.54,  +6.26,  +4.55
  1,     UK0045,       0,  0.040152, 2459521.603214468807, 135.11159,  10.66318,              111.40860,  29.49897,       111.41865,       29.49084,    135.11159,     +10.66318,     135.10949,      +10.65145,   572992.25,  4086457.33,  4990399.66,      50.599200,       +2.286605,  110001.67,  217613.13,    2055.44,             2595.16,   230.99,  51191.51,           60689.61,     33.07,     31.05,          42.99,  +2.97,  +1.28
  2,     UK0045,       0,  0.080304, 2459521.603214933537, 135.39524,  10.62136,              111.17958,  29.29983,       111.19889,       29.28424,    135.39524,     +10.62136,     135.39122,      +10.59881,   573743.42,  4084230.01,  4989801.22,      50.610195,       +2.271806,  108205.55,  215427.75,    4481.01,             5020.73,   -52.20,  60409.61,           60689.61,     62.93,     59.04,          82.62,  +2.01,  +0.34
  3,     UK0045,       0,  0.120484, 2459521.603215398733, 135.73538,  10.57635,              110.90231,  29.06488,       110.93725,       29.03670,    135.73538,     +10.57635,     135.72796,      +10.53552,   574621.33,  4081626.92,  4989101.81,      50.623050,       +2.254520,  106106.93,  212882.04,    7315.78,             7855.50,    71.93,  70551.89,           60689.61,    112.70,    105.59,         149.64,  +1.69,  +0.05
  4,     UK0045,       0,  0.160672, 2459521.603215863928, 136.03547,  10.49441,              110.68718,  28.82339,       110.70132,       28.81202,    136.03547,     +10.49441,     136.03290,      +10.47789,   575399.46,  4079319.70,  4988481.90,      50.634449,       +2.239162,  104247.27,  210630.87,    9828.36,            10368.08,  -126.68,  62520.61,           62033.32,     45.08,     42.31,          60.54,  +1.36,  -0.26
  5,     UK0045,       0,  0.200884, 2459521.603216329124, 136.38614,  10.41249,              110.42722,  28.55204,       110.42881,       28.55077,    136.38614,     +10.41249,     136.38662,      +10.41064,   576281.45,  4076704.49,  4987779.24,      50.647376,       +2.221758,  102139.90,  208087.87,   12676.34,            13216.05,     8.49,  70823.99,           63674.35,      4.99,      4.69,           6.79,  +1.49,  -0.10
  6,     UK0045,       0,  0.241028, 2459521.603216793854, 136.65631,  10.37229,              110.21202,  28.36117,       110.22305,       28.35234,    136.65631,     +10.37229,     136.65476,      +10.35941,   576937.39,  4074759.54,  4987256.66,      50.656993,       +2.208757,  100572.97,  206199.41,   14794.39,            15334.11,  -581.67,  52761.50,           63091.72,     34.43,     32.33,          47.25,  +3.09,  +1.52

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.