Orbital Analysis for matched events on 20210816_022303.708_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 81.34° Bg 44.63° Vg 60.97km/s
mass 0.31359g, abs. mag -3.2
Path Details
------------
start 0.22° 47.74° 108.62km
end   0.05° 47.56° 81.02km

Orbit Details
-------------
Semimajor axis -1.56A.U., eccentricity 1.55, inclination 101.66°, Period 1000000000.00Y, LA Sun 143.17°, 

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: 2459442.599348473363
Time: 2021-08-16 02:23:03.748211 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 8.47516 deg
 R.A. =  65.67367  Dec = +64.01102 deg

Best intersection: Stations UK002D and UK002N with Qconv = 8.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4370471.61 +/- 768.88 m
 Y =     53534.56 +/- 256.19 m
 Z =   4779116.72 +/- 413.06 m
 Vx =     6750.00 +/- 3360.17 m/s
 Vy =    22561.05 +/- 1418.36 m/s
 Vz =    57322.44 +/- 1815.66 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.084485e+04, +2.153188e+04, -3.413838e+04, -2.045282e+05, -1.012735e+05, +7.724297e+04
+2.153188e+04, +2.338074e+04, +1.688657e+04, -3.279700e+05, -1.118307e+05, +1.185361e+05
-3.413838e+04, +1.688657e+04, +5.273256e+04, -3.213270e+05, -8.362897e+04, +1.137012e+05
-2.045282e+05, -3.279700e+05, -3.213270e+05, +5.118208e+06, +1.676434e+06, -1.863980e+06
-1.012735e+05, -1.118307e+05, -8.362897e+04, +1.676434e+06, +5.654106e+05, -6.114532e+05
+7.724297e+04, +1.185361e+05, +1.137012e+05, -1.863980e+06, -6.114532e+05, +6.800224e+05

Timing offsets (from input data):
    UK002D: 0.000707 s
    UK002N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-16 02:23:03.748211 UTC
  Lon     = ++0.231262 +/- 0.0032 deg
  Lat     = +47.743493 +/- 0.0074 deg
  Lat geo = +47.555143 +/- 0.0074 deg
  Ht      =  109893.52 +/- 265.26 m

  JD dynamic   = 2459442.600149678532 
  LST apparent = 0.7017894325 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  73.34344 +/- 4.8891 deg
  Dec       = +67.66619 +/- 2.7313 deg
  Azimuth   =  33.98138 +/- 4.9714 deg
  Elevation = +49.53989 +/- 1.9041 deg
  Vavg      =  61.89954 +/- 0.4890 km/s
  Vinit     =  61.97117 +/- 0.4785 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.57184 +/- 4.8891 deg
  Dec       = +67.40636 +/- 2.7313 deg
  Azimuth   =  34.35627 +/- 4.9714 deg
  Elevation = +49.41420 +/- 1.9041 deg
  Vavg      =  62.01585 +/- 0.4890 km/s
  Vinit     =  62.08748 +/- 0.4785 km/s
Radiant (geocentric, J2000):
  R.A.   =  73.68304 +/- 4.9487 deg
  Dec    = +67.58050 +/- 2.7368 deg
  Vg     =  60.96996 +/- 0.4865 km/s
  Vinf   =  61.97117 +/- 0.4785 km/s
  Zc     =  40.61641 +/- 1.9151 deg
  Zg     =  40.96176 +/- 1.9284 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  81.33996 +/- 3.7258 deg
  Bg     = +44.63269 +/- 2.1334 deg
  Vh     =  48.15723 +/- 1.9542 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 119.48287 +/- 8.6457 deg
  Bh     = +62.80845 +/- 0.8763 deg
  Vh_x   =  10.83067 +/- 3.1545 km/s
  Vh_y   = -19.15650 +/- 0.2985 km/s
  Vh_z   = -42.83507 +/- 1.9689 km/s
Orbit:
  La Sun = 143.165686 +/- -0.0000 deg
  a      =  -1.564502 +/- 65.6195 AU
  e      =   1.553542 +/- 0.1714
  i      = 101.660146 +/- 3.6467 deg
  peri   = 139.636461 +/- 1.9856 deg
  node   = 143.166619 +/- 0.0002 deg
  Pi     = 282.803080 +/- 1.9854 deg
  q      =   0.866018 +/- 0.0177 AU
  f      =  40.360363 +/- 1.9857 deg
  M      =        nan +/- nan deg
  Q      =  -3.995023 +/- 131.2372 AU
  n      =   0.503663 +/- 0.1439 deg/day
  T      = 1000000000.000000 +/- 344827006.0407 years
  Last perihelion JD = NaN 
  Tj     =  -3.589958 +/- 0.9590
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.409913e-03, -1.014611e-03, -8.713439e-02, +1.885884e-07, -3.215568e-03, -2.823389e-03
q   , -1.014611e-03, +3.033550e-04, +2.612097e-02, -5.629922e-08, +9.623556e-04, +8.427986e-04
Tp  , -8.713439e-02, +2.612097e-02, +2.260441e+00, -4.876792e-06, +8.305832e-02, +7.297389e-02
node, +1.885884e-07, -5.629922e-08, -4.876792e-06, +1.059037e-11, -1.791605e-07, -1.584238e-07
peri, -3.215568e-03, +9.623556e-04, +8.305832e-02, -1.791605e-07, +3.056314e-03, +2.681459e-03
i   , -2.823389e-03, +8.427986e-04, +7.297389e-02, -1.584238e-07, +2.681459e-03, +2.370003e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 135.919122
 a2 = 0.157078

Mean time residuals from time vs. length:
  Station with reference time: UK002N
  Avg. res. = 2.818e-05 s
  Stddev    = 5.31e-03 s

Begin point on the trajectory:
  Lon =     0.223287 +/- 0.0027 deg
  Lat =    47.735512 +/- 0.0068 deg
  Ht  = 108617.48 +/- 200.15 m
End point on the trajectory:
  Lon =     0.047933 +/- 0.0059 deg
  Lat =    47.561693 +/- 0.0136 deg
  Ht  = 81016.67 +/- 359.94 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
    UK002D,   False,    -1.801980,    51.351940,  129.00, 119.099942,   0.374455,   107696.78,    81016.67,          0.014878,     43.22,    108.03,              90.51, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210816_022259_911_0564736.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   108617.48,    89838.35,          0.026686,     99.19,    168.78,              94.40, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210816_022258_431_0572672.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,     UK002D,       0,  0.057049, 2459442.599349125288,  20.92389, -24.09396,              159.29631,  12.05333,       159.28627,       12.04725,     20.92389,     -24.09396,      20.93618,      -24.09749,  4370157.10,    52483.34,  4776445.81,      47.729750,       +0.217464,  107696.78,  445231.28,       0.00,             2887.52,  -346.70,      0.00,           65369.64,     83.38,     33.33,          41.60,  +1.96,  -1.28
  1,     UK002D,       0,  0.097313, 2459442.599349591415,  20.80091, -24.42027,              159.48793,  11.76368,       159.47307,       11.75469,     20.80091,     -24.42027,      20.81920,      -24.42551,  4369861.31,    51494.68,  4773933.87,      47.716816,       +0.204382,  105631.26,  445686.21,    2715.65,             5603.17,  -126.26,  67446.15,           65369.64,    123.55,     49.41,          61.58,  +1.21,  -2.04
  2,     UK002D,       0,  0.137577, 2459442.599350057542,  20.68901, -24.74809,              159.66898,  11.46980,       159.65853,       11.46348,     20.68901,     -24.74809,      20.70219,      -24.75178,  4369566.40,    50508.98,  4771429.42,      47.703909,       +0.191336,  103572.37,  446155.83,    5423.21,             8310.73,    86.09,  67245.11,           65369.64,     86.98,     34.78,          43.31,  +0.86,  -2.39
  3,     UK002D,       0,  0.177821, 2459442.599350523204,  20.60482, -25.04873,              159.81771,  11.19604,       159.82560,       11.20081,     20.60482,     -25.04873,      20.59602,      -25.04593,  4369299.93,    49618.34,  4769166.52,      47.692240,       +0.179530,  101712.45,  446593.50,    7869.62,            10757.14,    38.54,  60789.58,           65369.64,    -65.79,    -26.28,          32.72,  +0.91,  -2.34
  4,     UK002D,       0,  0.218041, 2459442.599350988399,  20.46141, -25.32462,              160.01281,  10.95876,       159.98856,       10.94409,     20.46141,     -25.32462,      20.49175,      -25.33325,  4369039.07,    48746.47,  4766951.28,      47.680808,       +0.167969,   99892.06,  447034.47,   10264.51,            13152.03,   -59.05,  59544.73,           63810.40,    202.62,     81.09,         100.70,  +0.85,  -2.40
  5,     UK002D,       0,  0.258277, 2459442.599351454526,  20.37703, -25.61606,              160.15811,  10.69348,       160.15031,       10.68876,     20.37703,     -25.61606,      20.38759,      -25.61884,  4368779.20,    47877.88,  4764744.39,      47.669412,       +0.156449,   98078.89,  447486.12,   12650.37,            15537.89,  -166.67,  59296.64,           62720.04,     65.26,     26.09,          32.39,  +0.56,  -2.69
  6,     UK002D,       0,  0.298501, 2459442.599351919722,  20.25049, -25.90137,              160.33882,  10.44282,       160.31490,       10.42836,     20.25049,     -25.90137,      20.28092,      -25.90993,  4368513.71,    46990.50,  4762489.78,      47.657762,       +0.144682,   96226.87,  447960.31,   15087.83,            17975.35,  -221.94,  60597.09,           62103.18,    200.43,     80.22,          99.41,  +0.47,  -2.79
  7,     UK002D,       0,  0.338745, 2459442.599352385849,  20.16700, -26.20161,              160.48408,  10.16833,       160.48034,       10.16607,     20.16700,     -26.20161,      20.17299,      -26.20295,  4368245.80,    46095.04,  4760214.63,      47.645998,       +0.132808,   94358.37,  448451.83,   17547.49,            20435.01,  -256.24,  61118.76,           61764.04,     31.36,     12.54,          15.54,  +0.47,  -2.79
  8,     UK002D,       0,  0.379005, 2459442.599352851510,  20.05123, -26.52603,              160.66293,   9.87680,       160.66244,        9.87650,     20.05123,     -26.52603,      20.05341,      -26.52620,  4367949.45,    45104.52,  4757697.94,      47.632975,       +0.119689,   92291.95,  449011.05,   20268.28,            23155.80,   -30.41,  67580.41,           61993.71,      4.12,      1.65,           2.04,  +0.53,  -2.73
  9,     UK002D,       0,  0.419217, 2459442.599353317171,  19.95728, -26.79436,              160.80860,   9.63505,       160.81271,        9.63754,     19.95728,     -26.79436,      19.95397,      -26.79288,  4367704.37,    44285.39,  4755616.71,      47.622198,       +0.108810,   90583.41,  449484.81,   22518.29,            25405.81,  -272.38,  55953.76,           61781.42,    -34.62,    -13.83,          17.11,  +0.96,  -2.30
 10,     UK002D,       0,  0.459469, 2459442.599353782833,  19.80655, -27.11055,              161.01465,   9.35806,       160.99515,        9.34628,     19.80655,     -27.11055,      19.83254,      -27.11762,  4367405.08,    43285.05,  4753075.09,      47.609029,       +0.095559,   88497.39,  450078.84,   25266.04,            28153.56,   -19.10,  68263.55,           61960.34,    164.53,     65.85,          81.22,  +0.74,  -2.53
 11,     UK002D,       0,  0.499689, 2459442.599354248494,  19.74647, -27.38311,              161.13027,   9.10484,       161.14201,        9.11193,     19.74647,     -27.38311,      19.73403,      -27.37884,  4367163.73,    42478.34,  4751025.42,      47.598401,       +0.084840,   86815.46,  450568.83,   27481.93,            30369.45,  -295.70,  55094.18,           61799.61,    -99.21,    -39.63,          48.91,  +0.64,  -2.63
 12,     UK002D,       0,  0.539917, 2459442.599354714155,  19.60046, -27.67561,              161.32506,   8.84930,       161.31125,        8.84097,     19.60046,     -27.67561,      19.61984,      -27.68064,  4366884.11,    41543.75,  4748650.83,      47.586080,       +0.072446,   84867.30,  451150.09,   30049.09,            32936.61,  -221.50,  63815.45,           61768.90,    116.84,     46.75,          57.53,  +0.44,  -2.83
 13,     UK002D,       0,  0.580173, 2459442.599355179816,  19.49568, -27.99773,              161.48976,   8.55631,       161.48895,        8.55582,     19.49568,     -27.99773,      19.49911,      -27.99803,  4366589.14,    40557.85,  4746145.90,      47.573073,       +0.059380,   82812.68,  451778.51,   32757.17,            35644.69,    -8.14,  67271.36,           61906.88,      6.87,      2.75,           3.38,  +0.57,  -2.70
 14,     UK002D,       0,  0.620393, 2459442.599355645478,  19.39803, -28.27697,              161.63782,   8.30346,       161.64389,        8.30712,     19.39803,     -28.27697,      19.39305,      -28.27474,  4366331.25,    39695.88,  4743955.83,      47.561693,       +0.047933,   81016.67,  452340.08,   35124.85,            38012.37,  -132.94,  58868.25,           61920.64,    -51.52,    -20.59,          25.30,  +0.23,  -3.05
  0,     UK002N,       1,  0.000000, 2459442.599348473363,  10.97955, -24.61107,              169.50310,  13.48239,       169.57566,       13.51897,     10.97955,     -24.61107,      10.89754,      -24.58359,  4370464.33,    53510.20,  4779054.83,      47.743175,       +0.231111,  109842.61,  415696.31,       0.00,               66.91,   368.08,      0.00,           61183.93,   -497.72,   -291.09,         286.10,  +5.03,  +1.94
  1,     UK002N,       0,  0.040116, 2459442.599348937627,  10.84639, -24.79752,              169.65037,  13.31247,       169.67956,       13.32717,     10.84639,     -24.79752,      10.81350,      -24.78644,  4370288.93,    52923.96,  4777565.33,      47.735512,       +0.223287,  108617.48,  416059.49,    1610.30,             1677.21,  -507.65,  40141.10,           61183.93,   -200.38,   -117.42,         115.14,  +2.02,  -1.08
  2,     UK002N,       0,  0.080364, 2459442.599349403288,  10.65380, -25.16205,              169.87421,  12.97212,       169.87078,       12.97039,     10.65380,     -25.16205,      10.65804,      -25.16335,  4369962.00,    51831.23,  4774788.97,      47.721220,       +0.208846,  106334.34,  416754.00,    4611.82,             4678.73,    -0.35,  74575.56,           61183.93,     23.63,     13.87,          13.56,  +0.94,  -2.16
  3,     UK002N,       0,  0.120608, 2459442.599349869415,  10.54355, -25.49400,              170.01680,  12.65464,       170.03488,       12.66374,     10.54355,     -25.49400,      10.52345,      -25.48709,  4369680.21,    50889.39,  4772395.96,      47.708891,       +0.196374,  104366.90,  417368.78,    7198.89,             7265.80,    92.75,  64284.73,           61183.93,   -124.71,    -73.13,          71.45,  +0.56,  -2.54
  4,     UK002N,       0,  0.160788, 2459442.599350334145,  10.43654, -25.75066,              170.14637,  12.41135,       170.16498,       12.42072,     10.43654,     -25.75066,      10.41594,      -25.74353,  4369456.35,    50141.17,  4770494.91,      47.699091,       +0.186430,  102804.22,  417867.58,    9254.12,             9321.03,  -342.02,  51150.47,           59934.91,   -128.64,    -75.43,          73.61,  +0.05,  -3.06
  5,     UK002N,       0,  0.201028, 2459442.599350800272,  10.27304, -26.09820,              170.33772,  12.08358,       170.34293,       12.08620,     10.27304,     -26.09820,      10.26791,      -26.09620,  4369147.44,    49108.67,  4767871.56,      47.685558,       +0.172770,  100648.26,  418572.29,   12090.21,            12157.12,     0.35,  70479.47,           61085.69,    -36.09,    -21.18,          20.62,  +0.04,  -3.07
  6,     UK002N,       0,  0.241220, 2459442.599351265468,  10.12976, -26.37835,              170.50145,  11.82025,       170.48796,       11.81347,     10.12976,     -26.37835,      10.14628,      -26.38356,  4368894.88,    48264.51,  4765726.74,      47.674486,       +0.161570,   98885.93,  419161.52,   14408.97,            14475.88,  -171.63,  57692.10,           61133.10,     93.59,     54.96,          53.41,  +1.78,  -1.33
  7,     UK002N,       0,  0.281456, 2459442.599351731129,  10.02642, -26.70511,              170.63347,  11.50624,       170.64713,       11.51310,     10.02642,     -26.70511,      10.01184,      -26.69982,  4368615.97,    47332.28,  4763358.15,      47.662250,       +0.149218,   96940.14,  419826.40,   16969.65,            17036.55,  -104.43,  63641.32,           61362.01,    -95.08,    -55.77,          54.16,  +1.09,  -2.03
  8,     UK002N,       0,  0.402100, 2459442.599353127182,   9.52633, -27.65214,              171.19115,  10.61450,       171.13552,       10.58660,      9.52633,     -27.65214,       9.59281,      -27.67393,  4367750.41,    44439.27,  4756007.70,      47.624223,       +0.110891,   90904.40,  421982.49,   24916.21,            24983.12,   365.68,  65867.88,           62460.14,    389.64,    229.32,         220.99,  +0.68,  -2.45
  9,     UK002N,       0,  0.442240, 2459442.599353591911,   9.49708, -27.83863,              171.23781,  10.43189,       171.22179,       10.42385,      9.49708,     -27.83863,       9.51763,      -27.84492,  4367597.49,    43928.14,  4754709.02,      47.617496,       +0.104039,   89838.35,  422377.02,   26320.20,            26387.11,  -717.85,  34977.37,           61434.11,    112.43,     66.05,          63.68,  +2.37,  -0.76

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.