Orbital Analysis for matched events on 20211103_051506.135_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 105.11° Bg 63.98° Vg 42.36km/s
mass 0.44268g, abs. mag -2.2
best visual mag 0.3
Path Details
------------
start 4.33° 50.39° 101.35km
end   4.30° 50.26° 79.27km

Orbit Details
-------------
Semimajor axis 9.67A.U., eccentricity 0.90, inclination 70.78°, Period 30.09Y, LA Sun 220.71°, last Perihelion 1991-10-20

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: 2459521.718821009621
Time: 2021-11-03 05:15:06.135231 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0004 and UK002N
 Convergence angle = 3.98468 deg
 R.A. =  55.47009  Dec = +83.31849 deg

Best intersection: Stations UK0004 and UK002N with Qconv = 3.98 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2421028.82 +/- 2247.58 m
 Y =   3357614.32 +/- 592.98 m
 Z =   4968446.70 +/- 404.01 m
 Vx =    -5325.07 +/- 5657.67 m/s
 Vy =     1726.36 +/- 1711.30 m/s
 Vz =    43429.84 +/- 2054.71 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.965143e+06, +1.047761e+06, -7.057307e+05, +8.895954e+06, +2.410040e+06, -1.051528e+06
+1.047761e+06, +2.789257e+05, -1.857524e+05, +2.336390e+06, +6.366772e+05, -2.805292e+05
-7.057307e+05, -1.857524e+05, +1.280073e+05, -1.618387e+06, -4.371327e+05, +1.871511e+05
+8.895954e+06, +2.336390e+06, -1.618387e+06, +2.487757e+07, +6.690643e+06, -2.626616e+06
+2.410040e+06, +6.366772e+05, -4.371327e+05, +6.690643e+06, +1.811979e+06, -7.131709e+05
-1.051528e+06, -2.805292e+05, +1.871511e+05, -2.626616e+06, -7.131709e+05, +3.142053e+05

Timing offsets (from input data):
    UK0004: 0.000000 s
    UK002N: -0.000183 s

Reference point on the trajectory:
  Time: 2021-11-03 05:15:06.135231 UTC
  Lon     = ++4.329853 +/- 0.0300 deg
  Lat     = +50.386966 +/- 0.0035 deg
  Lat geo = +50.200782 +/- 0.0034 deg
  Ht      =  101336.12 +/- 842.80 m

  JD dynamic   = 2459521.719621750526 
  LST apparent = 125.7937244598 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 162.03761 +/- 53.3392 deg
  Dec       = +82.65532 +/- 4.7868 deg
  Azimuth   =   7.78345 +/- 13.6610 deg
  Elevation = +56.07670 +/- 2.0344 deg
  Vavg      =  44.09283 +/- 1.1889 km/s
  Vinit     =  43.78913 +/- 1.3501 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 164.45093 +/- 53.3392 deg
  Dec       = +82.41721 +/- 4.7868 deg
  Azimuth   =   8.48343 +/- 13.6610 deg
  Elevation = +56.03035 +/- 2.0344 deg
  Vavg      =  44.11667 +/- 1.1889 km/s
  Vinit     =  43.81298 +/- 1.3501 km/s
Radiant (geocentric, J2000):
  R.A.   = 164.76706 +/- 59.0893 deg
  Dec    = +83.19249 +/- 4.8442 deg
  Vg     =  42.35820 +/- 1.3948 km/s
  Vinf   =  43.78913 +/- 1.3501 km/s
  Zc     =  34.10778 +/- 2.0480 deg
  Zg     =  34.69166 +/- 2.1181 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.11192 +/- 17.6821 deg
  Bg     = +63.97951 +/- 1.0895 deg
  Vh     =  41.19123 +/- 0.9074 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 343.22786 +/- 13.1217 deg
  Bh     = +67.53283 +/- 7.2489 deg
  Vh_x   = -15.07176 +/- 5.9456 km/s
  Vh_y   =   4.54244 +/- 1.1170 km/s
  Vh_z   = -38.06476 +/- 1.3090 km/s
Orbit:
  La Sun = 220.705478 +/- -0.0000 deg
  a      =   9.673144 +/- 90.9094 AU
  e      =   0.902004 +/- 0.0808
  i      =  70.776420 +/- 4.6972 deg
  peri   = 205.020337 +/- 13.8251 deg
  node   = 220.707278 +/- 0.0001 deg
  Pi     =  65.727615 +/- 13.8250 deg
  q      =   0.947928 +/- 0.0471 AU
  f      = 334.980544 +/- 13.8251 deg
  M      = 359.426164 +/- nan deg
  Q      =  18.398361 +/- 181.8115 AU
  n      =   0.032761 +/- 0.0232 deg/day
  T      =  30.085146 +/- nan years
  Last perihelion JD = 2448550.444584 (1991-10-20 22:40:12.017561) +/- 158643.3920 days
  Tj     =   0.925605 +/- 0.3653
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.843304e-03, -1.893622e-03, -4.885601e+03, -3.228631e-06, +5.980599e-01, -1.970872e-01
q   , -1.893622e-03, +1.309743e-03, +2.978523e+03, +2.238111e-06, -4.160246e-01, +1.366184e-01
Tp  , -4.885601e+03, +2.978523e+03, +2.523454e+10, +4.848811e+00, -8.254441e+05, +2.926508e+05
node, -3.228631e-06, +2.238111e-06, +4.848811e+00, +3.968575e-09, -7.497269e-04, +2.431561e-04
peri, +5.980599e-01, -4.160246e-01, -8.254441e+05, -7.497269e-04, +1.434965e+02, -4.603868e+01
i   , -1.970872e-01, +1.366184e-01, +2.926508e+05, +2.431561e-04, -4.603868e+01, +1.490509e+01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -7.382039
 a2 = 3.001285

Mean time residuals from time vs. length:
  Station with reference time: UK0004
  Avg. res. = 1.743e-05 s
  Stddev    = 4.17e-03 s

Begin point on the trajectory:
  Lon =     4.329865 +/- 0.0300 deg
  Lat =    50.387021 +/- 0.0035 deg
  Ht  = 101345.39 +/- 833.46 m
End point on the trajectory:
  Lon =     4.299472 +/- 0.0244 deg
  Lat =    50.256284 +/- 0.0037 deg
  Ht  = 79266.02 +/- 545.69 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,   9.655255,   2.029415,   101345.39,    79266.02,          0.015665,     49.35,     68.17,              76.01, 1.0000,    True,    True, {"ff_name": "FF_UK0004_20211103_051503_403_1093632.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   6.448065,   3.891458,    98792.09,    81176.04,          0.021813,     91.37,    114.17,              82.95, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20211103_051458_179_1086720.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,       0,  0.000000, 2459521.718821009621, 195.39217,   9.62960,               96.56993,  17.75780,        96.56933,       17.75739,    195.39217,      +9.62960,     195.39288,       +9.62965, -2421030.17,  3357614.76,  4968457.78,      50.387021,       +4.329865,  101345.39,  310083.37,       0.00,               11.17,  -156.50,      0.00,           46434.08,     -3.09,      2.24,           2.54,  +2.54,  +0.08
  1,     UK0004,       0,  0.040180, 2459521.718821474817, 195.38246,   9.29349,               96.80231,  17.50480,        96.77320,       17.48509,    195.38246,      +9.29349,     195.41704,       +9.29597, -2420801.55,  3357540.64,  4966593.19,      50.377820,       +4.327730,   99785.45,  309567.60,    1880.02,             1868.84,   -58.28,  46789.83,           46434.08,   -149.00,    107.87,         122.57,  +1.89,  -0.56
  2,     UK0004,       0,  0.080376, 2459521.718821940012, 195.42583,   8.98512,               96.97324,  17.23962,        96.96205,       17.23205,    195.42583,      +8.98512,     195.43939,       +8.98607, -2420589.88,  3357472.02,  4964866.82,      50.369297,       +4.325741,   98341.29,  309098.68,    3620.66,             3609.49,   -77.78,  43304.00,           46434.08,    -57.26,     41.43,          47.16,  +1.29,  -1.16
  3,     UK0004,       0,  0.120600, 2459521.718822405674, 195.46412,   8.62494,               97.18205,  16.93742,        97.18132,       16.93693,    195.46412,      +8.62494,     195.46548,       +8.62500, -2420344.08,  3357392.33,  4962862.21,      50.359395,       +4.323458,   96664.53,  308567.41,    5641.86,             5630.68,   182.04,  50248.51,           46434.08,     -3.70,      2.68,           3.05,  +0.94,  -1.51
  4,     UK0004,       0,  0.160764, 2459521.718822870404, 195.44921,   8.30053,               97.40895,  16.69600,        97.37616,       16.67386,    195.44921,      +8.30053,     195.48861,       +8.30332, -2420125.79,  3357321.56,  4961081.85,      50.350597,       +4.321412,   95175.50,  308104.68,    7436.95,             7425.77,   218.38,  44693.91,           46363.66,   -167.37,    121.19,         138.34,  +0.85,  -1.59
  5,     UK0004,       0,  0.200960, 2459521.718823335599, 195.51585,   8.02687,               97.53663,  16.44250,        97.54363,       16.44722,    195.51585,      +8.02687,     195.50842,       +8.02627, -2419938.27,  3357260.77,  4959552.50,      50.343036,       +4.319630,   93896.51,  307713.41,    8978.95,             8967.77,     0.24,  38362.05,           45200.43,     35.71,    -25.82,          29.54,  +0.69,  -1.75
  6,     UK0004,       0,  0.241148, 2459521.718823800795, 195.53413,   7.69918,               97.73813,  16.17734,        97.74087,       16.17919,    195.53413,      +7.69918,     195.53190,       +7.69895, -2419717.37,  3357189.15,  4957750.85,      50.334125,       +4.317561,   92389.93,  307263.78,   10795.50,            10784.33,    56.99,  45201.40,           44785.06,     13.98,    -10.11,          11.58,  +0.65,  -1.79
  7,     UK0004,       0,  0.281328, 2459521.718824265525, 195.54740,   7.38979,               97.93105,  15.92929,        97.92648,       15.92621,    195.54740,      +7.38979,     195.55398,       +7.39018, -2419509.56,  3357121.78,  4956056.03,      50.325738,       +4.315604,   90972.81,  306849.38,   12504.34,            12493.17,     6.39,  42529.65,           44424.09,    -23.28,     16.85,          19.32,  +0.54,  -1.89
  8,     UK0004,       0,  0.321496, 2459521.718824730720, 195.55977,   7.09089,               98.11732,  15.68978,        98.10535,       15.68172,    195.55977,      +7.09089,     195.57525,       +7.09191, -2419309.34,  3357056.87,  4954423.12,      50.317654,       +4.313713,   89607.57,  306458.17,   14150.76,            14139.59,  -106.12,  40988.32,           44026.72,    -60.94,     44.10,          50.63,  +0.35,  -2.08
  9,     UK0004,       0,  0.361696, 2459521.718825195916, 195.59195,   6.76431,               98.30540,  15.41620,        98.30103,       15.41326,    195.59195,      +6.76431,     195.59862,       +6.76468, -2419090.28,  3356985.86,  4952636.49,      50.308805,       +4.311659,   88113.96,  306040.79,   15952.17,            15941.00,   -65.03,  44811.26,           43867.19,    -22.20,     16.06,          18.47,  +0.33,  -2.10
 10,     UK0004,       0,  0.401876, 2459521.718825661112, 195.61822,   6.46073,               98.48267,  15.16400,        98.48238,       15.16381,    195.61822,      +6.46073,     195.62024,       +6.46075, -2418887.33,  3356920.06,  4950981.28,      50.300604,       +4.309744,   86730.32,  305662.25,   17621.08,            17609.91,  -155.56,  41535.85,           43674.22,     -1.49,      1.08,           1.24,  +0.53,  -1.90
 11,     UK0004,       0,  0.442068, 2459521.718826126307, 195.62621,   6.11733,               98.70003,  14.89213,        98.68599,       14.88269,    195.62621,      +6.11733,     195.64464,       +6.11853, -2418659.42,  3356846.17,  4949122.51,      50.291389,       +4.307613,   85176.70,  305248.88,   19495.23,            19484.05,   -41.39,  46629.81,           43676.57,    -71.33,     51.63,          59.50,  +0.38,  -2.04
 12,     UK0004,       0,  0.482248, 2459521.718826591037, 195.64819,   5.80754,               98.88383,  14.63745,        98.86991,       14.62810,    195.64819,      +5.80754,     195.66664,       +5.80873, -2418453.61,  3356779.45,  4947444.03,      50.283065,       +4.305673,   83773.88,  304883.94,   21187.59,            21176.41,  -108.48,  42119.48,           43626.67,    -70.68,     51.16,          59.03,  +0.73,  -1.69
 13,     UK0004,       0,  0.522456, 2459521.718827056699, 195.69436,   5.48237,               99.05778,  14.35552,        99.06345,       14.35933,    195.69436,      +5.48237,     195.68986,       +5.48189, -2418237.02,  3356709.23,  4945677.56,      50.274300,       +4.303640,   82297.66,  304510.14,   22968.68,            22957.50,   -88.06,  44296.83,           43614.46,     28.76,    -20.80,          24.04,  +0.69,  -1.73
 14,     UK0004,       0,  0.562648, 2459521.718827521894, 195.70196,   5.13237,               99.27816,  14.07818,        99.26942,       14.07232,    195.70196,      +5.13237,     195.71464,       +5.13312, -2418006.48,  3356634.50,  4943797.36,      50.264966,       +4.301486,   80726.57,  304123.98,   24864.43,            24853.25,    47.71,  47167.33,           43695.36,    -44.33,     32.08,          37.12,  +0.69,  -1.73
 15,     UK0004,       0,  0.602840, 2459521.718827987090, 195.72545,   4.80739,               99.46916,  13.81023,        99.46095,       13.80472,    195.72545,      +4.80739,     195.73767,       +4.80809, -2417792.15,  3356565.01,  4942049.30,      50.256284,       +4.299472,   79266.02,  303774.34,   26626.96,            26615.78,    50.27,  43852.77,           43752.96,    -41.64,     30.13,          34.90,  +3.56,  +1.15
  0,     UK002N,       0,  0.061303, 2459521.718821728136, 191.97003,   1.99350,              103.60550,  13.19815,       103.58542,       13.18507,    191.97003,      +1.99350,     191.99378,       +1.99502, -2420655.95,  3357493.44,  4965405.73,      50.371958,       +4.326386,   98792.09,  385285.16,       0.00,             3066.12,   214.05,      0.00,           43288.49,   -123.49,    -98.87,          84.69,  +3.96,  +1.03
  1,     UK002N,       0,  0.101495, 2459521.718822193332, 192.02922,   1.78052,              103.69033,  12.99314,       103.70952,       13.00564,    192.02922,      +1.78052,     192.00720,       +1.77907, -2420477.16,  3357435.47,  4963947.53,      50.364757,       +4.324680,   97572.32,  385063.29,    1470.27,             4536.39,   -75.65,  36581.13,           43288.49,    118.05,     94.40,          80.97,  +2.93,  +0.00
  2,     UK002N,       0,  0.141711, 2459521.718822658528, 191.99164,   1.51421,              103.88703,  12.80453,       103.86021,       12.78707,    191.99164,      +1.51421,     192.02364,       +1.51623, -2420259.82,  3357365.01,  4962174.95,      50.355999,       +4.322642,   96089.71,  384803.39,    3257.51,             6323.63,   -49.43,  44441.11,           43288.49,   -164.88,   -132.04,         113.23,  +1.97,  -0.96
  3,     UK002N,       0,  0.181959, 2459521.718823124655, 192.03716,   1.22883,              104.02766,  12.55019,       104.02449,       12.54813,    192.03716,      +1.22883,     192.04164,       +1.22907, -2420022.69,  3357288.14,  4960241.01,      50.346440,       +4.320433,   94472.29,  384530.09,    5207.45,             8273.57,   138.08,  48448.18,           43288.49,    -19.50,    -15.60,          13.39,  +1.29,  -1.63
  4,     UK002N,       0,  0.222143, 2459521.718823589385, 192.02896,   1.00632,              104.17266,  12.37835,       104.15091,       12.36419,    192.02896,      +1.00632,     192.05537,       +1.00797, -2419840.34,  3357229.02,  4958753.80,      50.339086,       +4.318696,   93228.59,  384323.99,    6706.96,             9773.08,  -122.03,  37316.03,           42649.65,   -133.68,   -107.04,          91.91,  +1.03,  -1.89
  5,     UK002N,       0,  0.262399, 2459521.718824055512, 192.11138,   0.71936,              104.28374,  12.10022,       104.31690,       12.12178,    192.11138,      +0.71936,     192.07363,       +0.71685, -2419600.54,  3357151.28,  4956798.02,      50.329410,       +4.316463,   91593.21,  384065.17,    8678.92,            11745.04,    87.16,  48985.53,           43373.16,    203.85,    162.96,         140.16,  +0.72,  -2.20
  6,     UK002N,       0,  0.302599, 2459521.718824520707, 192.10079,   0.47576,              104.44334,  11.91290,       104.45473,       11.92031,    192.10079,      +0.47576,     192.08870,       +0.47489, -2419401.47,  3357086.74,  4955174.51,      50.321374,       +4.314582,   90235.77,  383856.01,   10315.87,            13381.99,   -36.22,  40720.02,           43347.33,     70.02,     56.01,          48.18,  +0.64,  -2.28
  7,     UK002N,       0,  0.342835, 2459521.718824986368, 192.10132,   0.19416,              104.61717,  11.68853,       104.61417,       11.68658,    192.10132,      +0.19416,     192.10627,       +0.19438, -2419170.95,  3357012.01,  4953294.47,      50.312065,       +4.312429,   88664.02,  383624.15,   12211.46,            15277.58,    97.47,  47111.88,           43650.42,    -18.42,    -14.74,          12.69,  +0.77,  -2.15
  8,     UK002N,       0,  0.383043, 2459521.718825452030, 192.12722,  -0.05173,              104.74805,  11.47712,       104.75418,       11.48110,    192.12722,      -0.05173,     192.12164,       -0.05220, -2418968.54,  3356946.39,  4951643.67,      50.303886,       +4.310518,   87284.03,  383426.82,   13875.92,            16942.04,     1.25,  41396.11,           43641.60,     37.64,     30.12,          25.93,  +1.07,  -1.85
  9,     UK002N,       0,  0.423239, 2459521.718825917225, 192.10913,  -0.29274,              104.91147,  11.29615,       104.88965,       11.28198,    192.10913,      -0.29274,     192.13651,       -0.29109, -2418772.64,  3356882.88,  4950045.95,      50.295968,       +4.308664,   85948.52,  383242.27,   15486.86,            18552.98,  -147.95,  40077.12,           43442.81,   -134.00,   -107.30,          92.39,  +0.91,  -2.01
 10,     UK002N,       0,  0.463439, 2459521.718826382421, 192.12544,  -0.53023,              105.04458,  11.09711,       105.02420,       11.08388,    192.12544,      -0.53023,     192.15130,       -0.52869, -2418577.98,  3356819.77,  4948458.34,      50.288096,       +4.306820,   84621.57,  383065.46,   17087.60,            20153.71,  -307.54,  39819.38,           43169.76,   -125.14,   -100.20,          86.32,  +1.71,  -1.21
 11,     UK002N,       0,  0.503663, 2459521.718826848082, 192.16255,  -0.78932,              105.17390,  10.86823,       105.17142,       10.86662,    192.16255,      -0.78932,     192.16757,       -0.78913, -2418364.81,  3356750.66,  4946719.76,      50.279472,       +4.304816,   83168.58,  382880.47,   18840.56,            21906.67,  -315.95,  43579.95,           43027.98,    -15.23,    -12.19,          10.51,  +1.76,  -1.16
 12,     UK002N,       0,  0.543959, 2459521.718827314209, 192.16621,  -1.14812,              105.39139,  10.57998,       105.37299,       10.56805,    192.16621,      -1.14812,     192.19012,       -1.14672, -2418072.44,  3356655.88,  4944335.24,      50.267637,       +4.302129,   81176.04,  382643.81,   21244.81,            24310.93,   323.77,  59664.79,           43491.91,   -112.98,    -90.46,          78.02,  +2.96,  +0.05

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.