Orbital Analysis for matched events on 20211103_033804.156_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 142.97° Bg 11.01° Vg 63.35km/s
mass 0.01480g, abs. mag -0.2
best visual mag 0.8
Path Details
------------
start -4.58° 50.56° 103.10km
end   -4.76° 50.58° 92.53km

Orbit Details
-------------
Semimajor axis 1.66A.U., eccentricity 0.52, inclination 158.50°, Period 2.14Y, LA Sun 220.64°, last Perihelion 2021-09-19

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: 2459521.651436992921
Time: 2021-11-03 03:38:04.166488 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001K and UK003E
 Convergence angle = 12.62570 deg
 R.A. = 149.64757  Dec = +24.28422 deg
Intersection 2 - Stations: UK001K and UK003H
 Convergence angle = 10.58897 deg
 R.A. = 155.45356  Dec = +23.98131 deg
Intersection 3 - Stations: UK001K and UK003J
 Convergence angle = 10.15286 deg
 R.A. = 140.44522  Dec = +24.31133 deg
Intersection 4 - Stations: UK003E and UK003H
 Convergence angle = 2.29759 deg
 R.A. = 121.95484  Dec = +28.07217 deg
Intersection 5 - Stations: UK003E and UK003J
 Convergence angle = 2.96995 deg
 R.A. = 179.29364  Dec = +14.01946 deg
Intersection 6 - Stations: UK003H and UK003J
 Convergence angle = 2.49709 deg
 R.A. =  43.97415  Dec =  +6.32750 deg

Best intersection: Stations UK001K and UK003E with Qconv = 12.63 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -184508.06 +/- 458.67 m
 Y =   4121459.53 +/- 496.66 m
 Z =   4982766.16 +/- 73.72 m
 Vx =   -50320.32 +/- 1875.27 m/s
 Vy =    29949.97 +/- 3883.53 m/s
 Vz =    26584.08 +/- 419.29 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.017167e+05, +1.957922e+05, -1.770680e+04, +9.613616e+05, +1.198828e+06, -1.839666e+04
+1.957922e+05, +2.362655e+05, -5.220160e+03, +1.176995e+06, +1.452327e+06, -3.140583e+04
-1.770680e+04, -5.220160e+03, +5.538953e+03, -3.464209e+04, -4.919000e+04, +2.247877e+03
+9.613616e+05, +1.176995e+06, -3.464209e+04, +7.411462e+06, +9.053260e+06, -3.043113e+05
+1.198828e+06, +1.452327e+06, -4.919000e+04, +9.053260e+06, +1.111820e+07, -3.672501e+05
-1.839666e+04, -3.140583e+04, +2.247877e+03, -3.043113e+05, -3.672501e+05, +3.436238e+04

Timing offsets (from input data):
    UK001K: -0.001335 s
    UK003E: 0.000213 s
    UK003H: 0.000144 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:38:04.166488 UTC
  Lon     = +-4.575966 +/- 0.0066 deg
  Lat     = +50.562123 +/- 0.0033 deg
  Lat geo = +50.376218 +/- 0.0033 deg
  Ht      =  103558.84 +/- 301.28 m

  JD dynamic   = 2459521.652237853035 
  LST apparent = 92.5632859843 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 149.23947 +/- 4.2090 deg
  Dec       = +24.41673 +/- 0.1719 deg
  Azimuth   =  99.23808 +/- 3.5833 deg
  Elevation = +39.57013 +/- 2.7004 deg
  Vavg      =  62.90995 +/- 0.6832 km/s
  Vinit     =  64.31056 +/- 0.5891 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 149.40049 +/- 4.2090 deg
  Dec       = +24.32440 +/- 0.1719 deg
  Azimuth   =  99.18260 +/- 3.5833 deg
  Elevation = +39.40219 +/- 2.7004 deg
  Vavg      =  63.13914 +/- 0.6832 km/s
  Vinit     =  64.53975 +/- 0.5891 km/s
Radiant (geocentric, J2000):
  R.A.   = 149.24084 +/- 4.2290 deg
  Dec    = +24.22654 +/- 0.1760 deg
  Vg     =  63.34523 +/- 0.5979 km/s
  Vinf   =  64.31056 +/- 0.5891 km/s
  Zc     =  50.40026 +/- 2.7117 deg
  Zg     =  50.80803 +/- 2.7297 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 142.97175 +/- 3.7282 deg
  Bg     = +11.01012 +/- 1.2184 deg
  Vh     =  35.42124 +/- 1.3816 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 153.33556 +/- 6.7969 deg
  Bh     = +19.97103 +/- 1.7047 deg
  Vh_x   =  29.75068 +/- 2.7429 km/s
  Vh_y   = -14.93991 +/- 3.0164 km/s
  Vh_z   = -12.09795 +/- 1.4291 km/s
Orbit:
  La Sun = 220.637979 +/- -0.0000 deg
  a      =   1.662200 +/- 0.3907 AU
  e      =   0.522164 +/- 0.1302
  i      = 158.500917 +/- 2.6111 deg
  peri   = 114.752708 +/- 10.2145 deg
  node   = 220.642093 +/- 0.0004 deg
  Pi     = 335.394801 +/- 10.2148 deg
  q      =   0.794258 +/- 0.0700 AU
  f      =  65.249856 +/- 10.2142 deg
  M      =  20.447116 +/- 4.5795 deg
  Q      =   2.530142 +/- 0.8428 AU
  n      =   0.459917 +/- 0.1236 deg/day
  T      =   2.143017 +/- 0.8217 years
  Last perihelion JD = 2459477.193918 (2021-09-19 16:39:14.489046) +/- 4.1170 days
  Tj     =   2.234054 +/- 0.5674
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.672655e-02, -8.788013e-03, -2.645785e-01, -4.489502e-05, -1.147257e+00, -3.315493e-01
q   , -8.788013e-03, +4.777124e-03, +1.744238e-01, +2.447298e-05, +6.538545e-01, +1.775623e-01
Tp  , -2.645785e-01, +1.744238e-01, +1.526316e+01, +9.578757e-04, +3.262693e+01, +5.980454e+00
node, -4.489502e-05, +2.447298e-05, +9.578757e-04, +1.277678e-07, +3.413167e-03, +9.172843e-04
peri, -1.147257e+00, +6.538545e-01, +3.262693e+01, +3.413167e-03, +9.810904e+01, +2.380872e+01
i   , -3.315493e-01, +1.775623e-01, +5.980454e+00, +9.172843e-04, +2.380872e+01, +6.701788e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.006680
 a2 = 38.090824

Mean time residuals from time vs. length:
  Station with reference time: UK003J
  Avg. res. = 3.308e-06 s
  Stddev    = 1.82e-03 s

Begin point on the trajectory:
  Lon =    -4.583542 +/- 0.0061 deg
  Lat =    50.562907 +/- 0.0032 deg
  Ht  = 103102.18 +/- 273.32 m
End point on the trajectory:
  Lon =    -4.760631 +/- 0.0046 deg
  Lat =    50.580985 +/- 0.0036 deg
  Ht  = 92530.37 +/- 374.84 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
    UK001K,   False,    -3.557111,    51.483925,   37.50,   0.016941,  34.151095,    99025.44,    92530.37,          0.005262,      6.58,     13.31,              76.00, 0.9415,    True,    True, {"ff_name": "FF_UK001K_20211103_033756_281_0916736.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   100055.16,    93962.04,          0.027316,     72.29,     89.71,             101.44, 0.9607,    True,    True, {"ff_name": "FF_UK003E_20211103_033757_152_0936192.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.000000, 103.440820,   103102.18,    93480.07,          0.049035,    106.67,    143.85,              95.50, 0.9908,    True,    True, {"ff_name": "FF_UK003H_20211103_033804_616_0350720.fits"}
    UK003J,   False,    -2.379250,    51.361350,  169.00,   5.541304,   0.000000,   102196.27,    93545.38,          0.046330,    100.86,    135.46,              95.50, 0.9908,    True,    True, {"ff_name": "FF_UK003J_20211103_033756_275_0933120.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,     UK001K,       0,  0.114271, 2459521.651438351721,  64.43085,   4.42215,              217.48535,  37.05381,       217.48632,       37.05455,     64.43085,      +4.42215,      64.43053,       +4.42313,  -178936.97,  4118143.69,  4979822.96,      50.569898,       -4.651713,   99025.44,  162132.24,       0.00,             7119.99,     0.28,      0.00,           63460.31,     -2.73,     -1.35,           3.88,  +3.77,  +2.72
  1,     UK001K,       0,  0.154871, 2459521.651438821573,  63.53681,   4.01855,              218.31920,  36.33907,       218.32477,       36.34326,     63.53681,      +4.01855,      63.53458,       +4.02415,  -176767.60,  4116852.51,  4978676.90,      50.572915,       -4.681239,   97261.38,  161845.41,    2772.50,             9892.49,   161.77,  68288.07,           63460.31,    -15.55,     -7.68,          22.10,  +1.68,  +0.63
  2,     UK001K,       0,  0.195355, 2459521.651439290028,  62.79777,   3.70615,              219.00836,  35.76387,       218.99953,       35.75727,     62.79777,      +3.70615,      62.80223,       +3.69727,  -174999.64,  4115800.24,  4977742.88,      50.575370,       -4.705347,   95824.22,  161647.76,    5032.00,            12151.99,  -182.28,  55812.27,           63460.31,     24.63,     12.18,          35.06,  +1.52,  +0.48
  3,     UK001K,       0,  0.235971, 2459521.651439760346,  61.89443,   3.29314,              219.82326,  35.02747,       219.82137,       35.02606,     61.89443,      +3.29314,      61.89593,       +3.29124,  -172813.36,  4114499.00,  4976587.88,      50.578400,       -4.735138,   94047.67,  161445.66,    7826.12,            14946.11,    -0.20,  68793.47,           63460.31,      5.29,      2.62,           7.54,  +2.34,  +1.30
  4,     UK001K,       0,  0.276495, 2459521.651440229267,  61.11904,   2.94349,              220.51445,  34.39588,       220.51391,       34.39548,     61.11904,      +2.94349,      61.12009,       +2.94294,  -170945.46,  4113387.25,  4975601.07,      50.580985,       -4.760631,   92530.37,  161312.26,   10213.34,            17333.33,  -219.10,  58908.81,           62830.13,      1.52,      0.75,           2.17,  +5.47,  +4.43
  0,     UK003E,       0,  0.083101, 2459521.651438009925,  37.12770,   5.26562,              247.39631,  23.53423,       247.44210,       23.55553,     37.12770,      +5.26562,      37.10572,       +5.30729,  -180202.88,  4118897.14,  4980491.74,      50.568134,       -4.634468,  100055.16,  240665.30,       0.00,             5502.13,   386.97,      0.00,           60508.08,   -154.01,   -123.98,         169.45,  +5.58,  +3.67
  1,     UK003E,       0,  0.123497, 2459521.651438477449,  36.61217,   5.06337,              247.72425,  23.07183,       247.71219,       23.06623,     36.61217,      +5.06337,      36.61815,       +5.05238,  -178310.21,  4117770.65,  4979491.85,      50.570770,       -4.660238,   98515.71,  241420.10,    2418.88,             7921.01,   207.96,  59879.14,           60508.08,     40.76,     32.89,          44.74,  +2.44,  +0.53
  2,     UK003E,       0,  0.163913, 2459521.651438945439,  36.13148,   4.81428,              247.99037,  22.59096,       247.97605,       22.58432,     36.13148,      +4.81428,      36.13875,       +4.80119,  -176436.07,  4116655.19,  4978501.75,      50.573376,       -4.685772,   96991.84,  242189.27,    4814.07,            10316.20,     3.98,  59263.54,           60508.08,     48.67,     39.28,          53.27,  +1.87,  -0.05
  3,     UK003E,       0,  0.204365, 2459521.651439413428,  35.64274,   4.51908,              248.23326,  22.06756,       248.25197,       22.07623,     35.64274,      +4.51908,      35.63417,       +4.53622,  -174448.53,  4115472.24,  4977451.74,      50.576134,       -4.712856,   95376.33,  243027.69,    7354.19,            12856.32,   -57.40,  62793.33,           60508.08,    -64.01,    -51.58,          69.77,  +2.27,  +0.34
  4,     UK003E,       0,  0.244729, 2459521.651439880487,  35.18165,   4.32985,              248.51722,  21.64602,       248.49055,       21.63368,     35.18165,      +4.32985,      35.19531,       +4.30538,  -172707.98,  4114436.28,  4976532.21,      50.578546,       -4.736610,   93962.04,  243782.67,    9578.66,            15080.79,  -428.76,  55110.23,           59617.21,     91.64,     73.99,          99.66,  +3.41,  +1.47
  0,     UK003H,       0,  0.010240, 2459521.651437112130,  44.39072,   6.49310,              240.98693,  28.94970,       241.02089,       28.96703,     44.39072,      +6.49310,      44.37499,       +6.52391,  -183947.14,  4121125.67,  4982469.82,      50.562907,       -4.583542,  103102.18,  207311.17,       0.00,              716.88,   287.49,      0.00,           62496.38,    -99.96,    -74.18,         123.85,  +2.94,  +1.36
  1,     UK003H,       0,  0.050728, 2459521.651437581051,  43.87623,   6.22925,              241.30814,  28.44803,       241.35111,       28.46993,     43.87623,      +6.22925,      43.85650,       +6.26834,  -182292.62,  4120140.93,  4981595.75,      50.565219,       -4.606064,  101755.51,  207722.07,    2114.51,             2831.39,  -201.80,  52225.57,           62496.38,   -127.14,    -94.33,         157.20,  +1.71,  +0.12
  2,     UK003H,       0,  0.091360, 2459521.651438051369,  43.20662,   5.88563,              241.72271,  27.79398,       241.77631,       27.82124,     43.20662,      +5.88563,      43.18207,       +5.93455,  -180125.91,  4118851.33,  4980451.08,      50.568242,       -4.635524,   99992.54,  208288.87,    4883.62,             5600.50,   -45.76,  68151.07,           62496.38,   -159.68,   -118.42,         196.87,  +1.56,  -0.03
  3,     UK003H,       0,  0.131956, 2459521.651438521221,  42.56346,   5.57306,              242.12831,  27.17936,       242.17582,       27.20347,     42.56346,      +5.57306,      42.54176,       +5.61655,  -178055.32,  4117618.95,  4979357.19,      50.571125,       -4.663702,   98308.43,  208864.00,    7529.88,             8246.75,   -10.26,  65185.06,           62496.38,   -142.42,   -105.65,         175.12,  +1.21,  -0.39
  4,     UK003H,       0,  0.172584, 2459521.651438991074,  41.89008,   5.23731,              242.54409,  26.52779,       242.59161,       26.55186,     41.89008,      +5.23731,      41.86842,       +5.28097,  -175862.35,  4116313.72,  4978198.65,      50.574172,       -4.693556,   96525.46,  209507.54,   10332.55,            11049.43,   179.61,  68983.76,           64252.75,   -143.48,   -106.44,         175.89,  +0.78,  -0.83
  5,     UK003H,       0,  0.213116, 2459521.651439460460,  41.29943,   4.97524,              242.92595,  25.98234,       242.94472,       25.99183,     41.29943,      +4.97524,      41.29121,       +4.99254,  -173970.36,  4115187.63,  4977199.12,      50.576797,       -4.719351,   94987.76,  210092.68,   12750.55,            13467.43,    -9.02,  59656.71,           64098.46,    -57.01,    -42.33,          69.71,  +1.39,  -0.22
  6,     UK003H,       0,  0.253652, 2459521.651439929381,  40.76189,   4.64379,              243.21347,  25.40819,       243.28592,       25.44480,     40.76189,      +4.64379,      40.72872,       +4.71074,  -172114.68,  4114083.16,  4976218.77,      50.579367,       -4.744669,   93480.07,  210692.33,   15122.16,            15839.03,  -244.31,  58506.07,           63444.98,   -221.51,   -164.17,         269.92,  +4.26,  +2.64
  0,     UK003J,       1,  0.000000, 2459521.651436992921,  44.48205,   6.63736,              240.99093,  29.12009,       240.93691,       29.09257,     44.48205,      +6.63736,      44.50615,       +6.58843,  -184364.37,  4121374.01,  4982690.24,      50.562324,       -4.577864,  103441.85,  207210.84,       0.00,              183.64,   412.79,      0.00,           58449.64,    158.48,    118.00,         196.68,  +5.41,  +3.83
  1,     UK003J,       0,  0.040316, 2459521.651437459514,  44.00879,   6.38626,              241.28145,  28.65165,       241.24364,       28.63241,     44.00879,      +6.38626,      44.02579,       +6.35192,  -182834.19,  4120463.26,  4981881.85,      50.564463,       -4.598702,  102196.27,  207585.89,    1955.61,             2139.25,  -224.35,  48507.00,           58449.64,    111.49,     82.96,         138.08,  +1.85,  +0.26
  2,     UK003J,       0,  0.080680, 2459521.651437926572,  43.39388,   6.11026,              241.68761,  28.08412,       241.62546,       28.05257,     43.39388,      +6.11026,      43.42228,       +6.05365,  -180899.88,  4119311.99,  4980859.96,      50.567163,       -4.625014,  100622.21,  208083.17,    4427.70,             4611.34,  -348.09,  61244.93,           58449.64,    184.29,    137.27,         227.79,  +1.73,  +0.14
  3,     UK003J,       0,  0.121100, 2459521.651438394561,  42.77298,   5.76986,              242.05586,  27.45874,       242.02242,       27.44179,     42.77298,      +5.76986,      42.78849,       +5.73930,  -178855.58,  4118095.25,  4979779.97,      50.570011,       -4.652829,   98959.24,  208638.98,    7040.36,             7224.01,  -334.86,  64637.95,           58449.64,     99.82,     74.27,         123.01,  +1.65,  +0.05
  4,     UK003J,       0,  0.161532, 2459521.651438862551,  42.04639,   5.43699,              242.52372,  26.78030,       242.46531,       26.75076,     42.04639,      +5.43699,      42.07372,       +5.38344,  -176532.90,  4116712.82,  4978552.90,      50.573241,       -4.684431,   97070.56,  209307.27,   10008.81,            10192.45,    33.38,  73418.15,           62160.69,    175.59,    130.79,         215.76,  +1.04,  -0.56
  5,     UK003J,       0,  0.201936, 2459521.651439330075,  41.43143,   5.10716,              242.88642,  26.16519,       242.84803,       26.14580,     41.43143,      +5.10716,      41.44976,       +5.07184,  -174491.27,  4115497.67,  4977474.31,      50.576075,       -4.712247,   95411.07,  209928.92,   12618.05,            12801.70,    44.22,  64578.89,           63565.25,    116.21,     86.50,         142.34,  +1.09,  -0.52
  6,     UK003J,       0,  0.242376, 2459521.651439798065,  40.73794,   4.75232,              243.30263,  25.48479,       243.27083,       25.46876,     40.73794,      +4.75232,      40.75345,       +4.72297,  -172195.05,  4114130.99,  4976261.23,      50.579256,       -4.743532,   93545.38,  210663.60,   15552.67,            15736.32,   378.12,  72567.27,           65032.37,     96.98,     72.16,         118.36,  +2.62,  +1.00

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.