Orbital Analysis for matched events on 20211015_042237.574_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 82.87° Bg -15.39° Vg 63.47km/s
mass 0.02785g, abs. mag -0.3
best visual mag 0.1
Path Details
------------
start -1.34° 52.86° 111.43km
end   -1.32° 53.02° 93.61km

Orbit Details
-------------
Semimajor axis 29.78A.U., eccentricity 0.98, inclination 144.63°, Period 162.54Y, LA Sun 201.74°, last Perihelion 1859-05-10

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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: 2459502.682379329111
Time: 2021-10-15 04:22:37.574035 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002H and UK002X
 Convergence angle = 57.55139 deg
 R.A. =  82.70833  Dec =  +7.77855 deg
Intersection 2 - Stations: UK002H and UK002Z
 Convergence angle = 49.92232 deg
 R.A. =  83.64065  Dec =  +8.21634 deg
Intersection 3 - Stations: UK002X and UK002Z
 Convergence angle = 7.67325 deg
 R.A. =  77.65220  Dec = +10.86338 deg

Best intersection: Stations UK002H and UK002X with Qconv = 57.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    120763.51 +/- 55.30 m
 Y =   3924266.69 +/- 118.06 m
 Z =   5150228.06 +/- 42.25 m
 Vx =     7342.64 +/- 194.54 m/s
 Vy =    63340.79 +/- 164.02 m/s
 Vz =     9236.92 +/- 104.43 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.178072e+03, +6.013511e+03, +1.523873e+03, +5.890366e+03, +9.446107e+03, +1.921054e+03
+6.013511e+03, +1.660290e+04, +4.207311e+03, +1.626291e+04, +2.608007e+04, +5.303904e+03
+1.523873e+03, +4.207311e+03, +1.066167e+03, +4.121153e+03, +6.608902e+03, +1.344052e+03
+5.890366e+03, +1.626291e+04, +4.121153e+03, +1.592988e+04, +2.554601e+04, +5.195290e+03
+9.446107e+03, +2.608007e+04, +6.608902e+03, +2.554601e+04, +4.096694e+04, +8.331446e+03
+1.921054e+03, +5.303904e+03, +1.344052e+03, +5.195290e+03, +8.331446e+03, +1.694366e+03

Timing offsets (from input data):
    UK002H: 0.000060 s
    UK002X: -0.000241 s
    UK002Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 04:22:37.574035 UTC
  Lon     = +-1.344434 +/- 0.0008 deg
  Lat     = +52.863182 +/- 0.0006 deg
  Lat geo = +52.680984 +/- 0.0006 deg
  Ht      =  111419.10 +/- 103.33 m

  JD dynamic   = 2459502.683180070017 
  LST apparent = 88.2373632262 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  83.38762 +/- 0.1626 deg
  Dec       =  +8.24247 +/- 0.0762 deg
  Azimuth   = 186.82011 +/- 0.2305 deg
  Elevation = +45.20507 +/- 0.0718 deg
  Vavg      =  62.15253 +/- 0.0165 km/s
  Vinit     =  64.43051 +/- 0.1370 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  83.64405 +/- 0.1626 deg
  Dec       =  +8.24547 +/- 0.0762 deg
  Azimuth   = 186.46105 +/- 0.2305 deg
  Elevation = +45.22597 +/- 0.0718 deg
  Vavg      =  62.12920 +/- 0.0165 km/s
  Vinit     =  64.40719 +/- 0.1370 km/s
Radiant (geocentric, J2000):
  R.A.   =  83.06572 +/- 0.1634 deg
  Dec    =  +7.87529 +/- 0.0766 deg
  Vg     =  63.46806 +/- 0.1391 km/s
  Vinf   =  64.43051 +/- 0.1370 km/s
  Zc     =  44.61403 +/- 0.0717 deg
  Zg     =  44.96781 +/- 0.0722 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  82.87465 +/- 0.1658 deg
  Bg     = -15.39106 +/- 0.0807 deg
  Vh     =  41.82632 +/- 0.1747 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  60.04360 +/- 0.1904 deg
  Bh     = -23.74763 +/- 0.1485 deg
  Vh_x   = -19.11717 +/- 0.1903 km/s
  Vh_y   = -33.17017 +/- 0.1200 km/s
  Vh_z   =  16.84383 +/- 0.0924 km/s
Orbit:
  La Sun = 201.742481 +/- -0.0000 deg
  a      =  29.782731 +/- 186.3275 AU
  e      =   0.983937 +/- 0.0080
  i      = 144.629628 +/- 0.1288 deg
  peri   =  92.809130 +/- 0.3931 deg
  node   =  21.744687 +/- 0.0000 deg
  Pi     = 114.553817 +/- 0.3931 deg
  q      =   0.478404 +/- 0.0029 AU
  f      = 267.191130 +/- 0.3931 deg
  M      = 359.763792 +/- nan deg
  Q      =  59.087058 +/- 372.6545 AU
  n      =   0.006064 +/- 0.0023 deg/day
  T      = 162.535193 +/- nan years
  Last perihelion JD = 2400174.622323 (1859-05-10 02:56:08.709764) +/- 339374.5612 days
  Tj     =  -0.521720 +/- 0.0879
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.158025e-04, +2.220595e-05, -5.164798e+03, +8.318571e-09, -6.069446e-03, +1.020159e-03
q   , +2.220595e-05, +4.258146e-06, -9.903861e+02, +1.595144e-09, -1.163859e-03, +1.956226e-04
Tp  , -5.164798e+03, -9.903861e+02, +2.303502e+11, -3.710086e-01, +2.706975e+05, -4.549912e+04
node, +8.318571e-09, +1.595144e-09, -3.710086e-01, +5.975572e-13, -4.359932e-07, +7.328220e-08
peri, -6.069446e-03, -1.163859e-03, +2.706975e+05, -4.359932e-07, +3.181120e-01, -5.346859e-02
i   , +1.020159e-03, +1.956226e-04, -4.549912e+04, +7.328220e-08, -5.346859e-02, +8.987057e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 61.847527

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.984e-06 s
  Stddev    = 1.41e-03 s

Begin point on the trajectory:
  Lon =    -1.344459 +/- 0.0008 deg
  Lat =    52.863058 +/- 0.0005 deg
  Ht  = 111433.36 +/- 91.68 m
End point on the trajectory:
  Lon =    -1.315238 +/- 0.0006 deg
  Lat =    53.018860 +/- 0.0004 deg
  Ht  = 93610.51 +/- 43.15 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
    UK002H,   False,    -2.412630,    53.386080,   20.00,   0.000000,   0.000000,   100687.42,    93938.27,          0.006334,      5.80,     13.00,              38.31, 0.3843,    True,    True, {"ff_name": "FF_UK002H_20211015_042234_373_0947712.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105948.72,    94982.48,          0.014815,     70.13,     11.28,              33.45, 0.3038,    True,    True, {"ff_name": "FF_UK002X_20211015_042238_290_0560640.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000000,   0.000000,   111433.36,    93610.51,          0.009007,     20.70,      6.55,              22.42, 0.1454,    True,    True, {"ff_name": "FF_UK002Z_20211015_042236_165_0959744.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,     UK002H,       0,  0.237101, 2459502.682381947059, 124.21759,  22.80837,              122.90348,  48.58633,       122.90659,       48.58041,    124.21759,     +22.80837,     124.22015,      +22.80228,   119038.72,  3909387.86,  5148058.30,      52.956845,       -1.326829,  100687.42,  133440.00,       0.00,            15134.80,  -161.81,      0.00,           65130.42,     13.35,      5.95,          22.60,  +2.11,  +1.48
  1,     UK002H,       0,  0.276905, 2459502.682382407598, 125.12152,  22.99910,              121.69567,  48.29026,       121.69286,       48.29537,    125.12152,     +22.99910,     125.12127,      +23.00439,   118702.55,  3906487.96,  5147635.41,      52.975136,       -1.323363,   98597.81,  131248.28,    2949.80,            18084.60,   223.40,  74108.02,           65130.42,    -11.39,     -5.08,          19.59,  +1.21,  +0.62
  2,     UK002H,       0,  0.316729, 2459502.682382868603, 125.89238,  23.17247,              120.66684,  48.04118,       120.66632,       48.04209,    125.89238,     +23.17247,     125.89341,      +23.17342,   118423.62,  3904081.72,  5147284.51,      52.990321,       -1.320511,   96864.40,  129451.39,    5397.43,            20532.23,   105.15,  61461.30,           65130.42,     -2.01,     -0.90,           3.51,  +0.12,  -0.44
  3,     UK002H,       0,  0.356549, 2459502.682383329142, 126.68081,  23.34782,              119.62567,  47.77966,       119.62889,       47.77420,    126.68081,     +23.34782,     126.68367,      +23.34209,   118146.57,  3901691.82,  5146935.99,      53.005412,       -1.317677,   95143.21,  127688.03,    7828.45,            22963.25,   -29.45,  61050.21,           65130.42,     11.96,      5.33,          21.15,  +0.27,  -0.26
  4,     UK002H,       0,  0.396441, 2459502.682383791078, 127.25071,  23.45135,              118.89863,  47.56843,       118.89315,       47.57750,    127.25071,     +23.45135,     127.25000,      +23.46092,   117952.59,  3900018.45,  5146691.97,      53.015983,       -1.315740,   93938.27,  126464.52,    9530.60,            24665.41,  -897.56,  42669.05,           60099.34,    -19.76,     -8.81,          35.29,  +2.47,  +1.96
  0,     UK002X,       0,  0.117937, 2459502.682380266488, 111.79385, -10.67878,              153.30175,  20.97701,       153.28235,       20.99338,    111.79385,     -10.67878,     111.80760,      -10.65824,   119884.66,  3916685.29,  5149122.47,      52.910869,       -1.335338,  105948.72,  280869.82,       0.00,             7711.83,    93.05,      0.00,           62937.08,    -18.94,   -118.16,          87.88,  +2.93,  +0.69
  1,     UK002X,       0,  0.158149, 2459502.682380731683, 112.06508, -10.83241,              153.06996,  20.75862,       153.06298,       20.76450,    112.06508,     -10.83241,     112.07041,      -10.82501,   119578.58,  3914044.94,  5148737.43,      52.927495,       -1.332211,  104044.61,  278643.15,    2685.78,            10397.60,   187.95,  66790.44,           62937.08,     -6.78,    -42.19,          31.63,  +2.58,  +0.35
  2,     UK002X,       0,  0.198337, 2459502.682381196879, 112.30094, -10.96728,              152.86958,  20.56710,       152.87247,       20.56467,    112.30094,     -10.96728,     112.29962,      -10.97034,   119315.50,  3911775.49,  5148406.48,      52.941794,       -1.329544,  102408.41,  276735.12,    4994.27,            12706.09,   -92.89,  57442.25,           62937.08,      2.80,     17.36,          13.11,  +2.07,  -0.14
  3,     UK002X,       0,  0.238565, 2459502.682381662540, 112.56572, -11.14519,              152.65315,  20.32615,       152.64900,       20.32964,    112.56572,     -11.14519,     112.56943,      -11.14079,   119011.08,  3909149.40,  5148023.52,      52.958349,       -1.326427,  100515.57,  274535.63,    7665.54,            15377.37,   -13.53,  66403.44,           62937.08,     -3.98,    -24.74,          18.82,  +2.01,  -0.18
  4,     UK002X,       0,  0.278785, 2459502.682382128201, 112.84205, -11.30043,              152.41963,  20.10355,       152.42818,       20.09637,    112.84205,     -11.30043,     112.83717,      -11.30952,   118714.01,  3906586.79,  5147649.82,      52.974512,       -1.323386,   98669.01,  272397.32,   10272.23,            17984.06,     1.77,  64810.74,           63475.62,      8.15,     50.54,          38.76,  +1.46,  -0.72
  5,     UK002X,       0,  0.319001, 2459502.682382593397, 113.11437, -11.46077,              152.19266,  19.87666,       152.20852,       19.86334,    113.11437,     -11.46077,     113.10462,      -11.47766,   118422.15,  3904069.09,  5147282.67,      52.990401,       -1.320396,   96855.30,  270304.39,   12833.25,            20545.08,   -28.35,  63681.61,           63658.88,     15.04,     93.16,          72.01,  +1.64,  -0.52
  6,     UK002X,       0,  0.359237, 2459502.682383059058, 113.39386, -11.63901,              151.96478,  19.63017,       151.97867,       19.61853,    113.39386,     -11.63901,     113.38564,      -11.65380,   118120.70,  3901468.60,  5146903.44,      53.006822,       -1.317299,   94982.48,  268151.30,   15478.48,            23190.30,    24.45,  65742.79,           63947.74,     13.05,     80.90,          63.03,  +2.11,  -0.03
  7,     UK002X,       1,  0.399409, 2459502.682383524254, 113.57399, -11.78526,              151.82772,  19.44092,       151.81953,       19.44778,    113.57399,     -11.78526,     113.58115,      -11.77653,   117913.32,  3899679.67,  5146642.56,      53.018124,       -1.315217,   93694.38,  266673.78,   17298.18,            25010.01,  -744.15,  45297.86,           62515.70,     -7.62,    -47.47,          37.19,  +5.95,  +3.82
  0,     UK002Z,       0,  0.000000, 2459502.682379329111,  61.74602,  17.04781,              220.94104,  47.72954,       220.94107,       47.72980,     61.74602,     +17.04781,      61.74611,      +17.04805,   120765.80,  3924286.44,  5150230.94,      52.863058,       -1.344459,  111433.36,  149495.21,       0.00,               20.09,     0.03,      0.00,           63737.70,     -0.20,     -0.64,           0.93,  +3.19,  +2.32
  1,     UK002Z,       0,  0.040208, 2459502.682379794307,  61.35359,  17.19304,              221.53800,  47.70827,       221.53678,       47.69782,     61.35359,     +17.19304,      61.35003,      +17.18318,   120465.60,  3921696.79,  5149853.30,      52.879338,       -1.341408,  109564.28,  147076.27,    2634.20,             2614.11,     3.43,  65514.43,           63737.70,      8.09,     25.65,          37.72,  +1.60,  +0.76
  2,     UK002Z,       0,  0.080420, 2459502.682380259968,  60.96263,  17.32306,              222.12279,  47.67161,       222.12173,       47.66329,     60.96263,     +17.32306,      60.96001,      +17.31521,   120179.88,  3919232.00,  5149493.86,      52.894841,       -1.338509,  107785.81,  144781.14,    5141.39,             5121.30,   -80.26,  62349.31,           63737.70,      6.35,     20.11,          30.05,  +1.34,  +0.54
  3,     UK002Z,       0,  0.120648, 2459502.682380725630,  60.54575,  17.45153,              222.73877,  47.62103,       222.73913,       47.62362,     60.54575,     +17.45153,      60.54717,      +17.45397,   119887.33,  3916708.37,  5149125.84,      52.910724,       -1.335532,  105965.37,  142438.45,    7708.44,             7688.35,  -105.13,  63812.40,           63737.70,     -1.94,     -6.15,           9.34,  +1.08,  +0.31
  4,     UK002Z,       0,  0.160908, 2459502.682381191291,  60.08187,  17.58618,              223.41725,  47.55459,       223.42057,       47.57604,     60.08187,     +17.58618,      60.09006,      +17.60653,   119574.55,  3914010.16,  5148732.36,      52.927714,       -1.332334,  104019.53,  139942.00,   10453.07,            10432.98,    45.53,  68172.67,           64586.88,    -15.93,    -50.22,          77.65,  +0.93,  +0.20
  5,     UK002Z,       0,  0.201128, 2459502.682381656952,  59.66144,  17.74385,              224.05337,  47.52412,       224.05400,       47.52792,     59.66144,     +17.74385,      59.66361,      +17.74746,   119293.18,  3911582.94,  5148378.40,      52.943007,       -1.329469,  102269.60,  137704.81,   12922.05,            12901.96,   -76.88,  61386.85,           64372.23,     -2.77,     -8.76,          13.76,  +0.78,  +0.09
  6,     UK002Z,       0,  0.241376, 2459502.682382122613,  59.20199,  17.89619,              224.73426,  47.47014,       224.73464,       47.47230,     59.20199,     +17.89619,      59.20375,      +17.89824,   119000.01,  3909053.96,  5148009.61,      52.958950,       -1.326474,  100446.79,  135382.14,   15494.54,            15474.44,   -97.60,  63915.85,           64246.65,     -1.55,     -4.90,           7.84,  +0.70,  +0.04
  7,     UK002Z,       0,  0.281648, 2459502.682382588740,  58.70004,  18.06040,              225.47468,  47.40607,       225.47490,       47.40720,     58.70004,     +18.06040,      58.70161,      +18.06148,   118691.36,  3906391.42,  5147621.33,      52.975745,       -1.323307,   98528.26,  132946.41,   18202.88,            18182.79,    16.00,  67251.38,           64445.02,     -0.80,     -2.53,           4.12,  +0.55,  -0.07
  8,     UK002Z,       0,  0.321916, 2459502.682383054867,  58.19978,  18.22670,              226.21220,  47.34140,       226.21139,       47.33746,     58.19978,     +18.22670,      58.19978,      +18.22294,   118394.42,  3903829.86,  5147247.78,      52.991911,       -1.320262,   96682.99,  130613.34,   20808.52,            20788.43,    27.15,  64707.32,           64555.06,      2.73,      8.64,          14.32,  +0.70,  +0.12
  9,     UK002Z,       0,  0.362204, 2459502.682383521460,  57.66822,  18.39475,              226.98766,  47.26154,       226.98704,       47.25874,     57.66822,     +18.39475,      57.66878,      +18.39207,   118091.85,  3901219.78,  5146867.16,      53.008394,       -1.317153,   94803.31,  128246.74,   23463.50,            23443.40,    86.35,  65899.97,           64684.53,      1.91,      6.04,          10.19,  +0.69,  +0.15
 10,     UK002Z,       0,  0.402388, 2459502.682383986190,  57.32232,  18.51487,              227.49814,  47.21726,       227.49494,       47.20341,     57.32232,     +18.51487,      57.31929,      +18.50159,   117899.81,  3899563.18,  5146625.58,      53.018860,       -1.315238,   93610.51,  126752.54,   25148.60,            25128.51,  -817.62,  41934.65,           63722.59,      9.35,     29.56,          50.44,  +2.23,  +1.72

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.