Orbital Analysis for matched events on 20211103_020940.754_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 96.44° Bg 15.17° Vg 58.44km/s
mass 0.00930g, abs. mag 0.3
best visual mag 0.8
Path Details
------------
start -4.09° 51.58° 97.93km
end   -4.14° 51.59° 89.08km

Orbit Details
-------------
Semimajor axis 3.58A.U., eccentricity 0.92, inclination 137.45°, Period 6.79Y, LA Sun 220.58°, last Perihelion 2015-02-27

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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: 2459521.590055032168
Time: 2021-11-03 02:09:40.754779 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 29.20533 deg
 R.A. = 100.35434  Dec = +34.44922 deg
Intersection 2 - Stations: UK0024 and UK003H
 Convergence angle = 26.71398 deg
 R.A. =  96.11723  Dec = +40.17339 deg
Intersection 3 - Stations: UK003E and UK003H
 Convergence angle = 3.98417 deg
 R.A. = 140.01953  Dec =  +2.99820 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 29.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1319857.65 +/- 110.00 m
 Y =   3810600.71 +/- 20.24 m
 Z =   5050559.59 +/- 106.49 m
 Vx =    -6579.00 +/- 756.31 m/s
 Vy =    46056.98 +/- 12011.16 m/s
 Vz =    37071.70 +/- 9941.60 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.333630e+04, +7.560249e+01, +1.259808e+04, +1.100586e+05, -1.075418e+05, +1.452562e+04
+7.560249e+01, +4.331661e+02, +8.250246e+01, -1.083115e+03, +1.820738e+03, -3.156848e+03
+1.259808e+04, +8.250246e+01, +1.243037e+04, +1.094628e+05, -1.785775e+05, -4.916846e+04
+1.100586e+05, -1.083115e+03, +1.094628e+05, +2.508005e+06, -1.555352e+07, -1.218275e+07
-1.075418e+05, +1.820738e+03, -1.785775e+05, -1.555352e+07, +1.433355e+08, +1.200333e+08
+1.452562e+04, -3.156848e+03, -4.916846e+04, -1.218275e+07, +1.200333e+08, +1.014969e+08

Timing offsets (from input data):
    UK0006: 0.000000 s
    UK001Z: 0.000000 s
    UK0024: -0.000064 s
    UK003E: -0.000072 s
    UK003H: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:09:40.754779 UTC
  Lon     = +-4.085484 +/- 0.0015 deg
  Lat     = +51.578470 +/- 0.0004 deg
  Lat geo = +51.393797 +/- 0.0004 deg
  Ht      =   97931.49 +/- 107.35 m

  JD dynamic   = 2459521.590855773073 
  LST apparent = 70.8957193227 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  98.12941 +/- 1.0883 deg
  Dec       = +38.54858 +/- 0.7539 deg
  Azimuth   = 113.75788 +/- 0.4686 deg
  Elevation = +66.98116 +/- 1.1122 deg
  Vavg      =  56.64265 +/- 0.3186 km/s
  Vinit     =  59.48815 +/- 14.9821 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  98.45048 +/- 1.0883 deg
  Dec       = +38.46751 +/- 0.7539 deg
  Azimuth   = 113.46941 +/- 0.4686 deg
  Elevation = +66.74273 +/- 1.1122 deg
  Vavg      =  56.74853 +/- 0.3186 km/s
  Vinit     =  59.59402 +/- 14.9821 km/s
Radiant (geocentric, J2000):
  R.A.   =  97.94692 +/- 1.0991 deg
  Dec    = +38.42520 +/- 0.7615 deg
  Vg     =  58.44224 +/- 0.3606 km/s
  Vinf   =  59.48815 +/- 0.3543 km/s
  Zc     =  22.94503 +/- 1.1122 deg
  Zg     =  23.15129 +/- 1.1244 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  96.44332 +/- 0.9144 deg
  Bg     = +15.16508 +/- 0.7254 deg
  Vh     =  39.25378 +/- 0.8284 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  68.01465 +/- 1.1253 deg
  Bh     = +22.92234 +/- 0.7572 deg
  Vh_x   = -13.53497 +/- 0.8873 km/s
  Vh_y   = -33.52491 +/- 0.2378 km/s
  Vh_z   = -15.28868 +/- 0.8109 km/s
Orbit:
  La Sun = 220.576493 +/- -0.0000 deg
  a      =   3.584747 +/- 8.6605 AU
  e      =   0.917469 +/- 0.0221
  i      = 137.454719 +/- 2.1525 deg
  peri   = 297.823713 +/- 1.6576 deg
  node   = 220.578709 +/- 0.0001 deg
  Pi     = 158.402422 +/- 1.6577 deg
  q      =   0.295852 +/- 0.0052 AU
  f      = 242.177566 +/- 1.6576 deg
  M      = 354.370865 +/- 1.7272 deg
  Q      =   6.873643 +/- 17.3182 AU
  n      =   0.145217 +/- 0.0444 deg/day
  T      =   6.787165 +/- 55.8117 years
  Last perihelion JD = 2457081.299242 (2015-02-27 19:10:54.483220) +/- 20386.0208 days
  Tj     =   0.965298 +/- 0.3821
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.292993e-04, +9.463415e-05, -3.265096e+02, -1.471836e-06, -3.841018e-02, -5.024903e-02
q   , +9.463415e-05, +2.948565e-05, -5.310736e+01, -2.995691e-07, -8.521493e-03, -1.017029e-02
Tp  , -3.265096e+02, -5.310736e+01, +4.170538e+08, +8.758916e-01, +2.247600e+04, +3.083903e+04
node, -1.471836e-06, -2.995691e-07, +8.758916e-01, +4.360912e-09, +1.117333e-04, +1.484382e-04
peri, -3.841018e-02, -8.521493e-03, +2.247600e+04, +1.117333e-04, +3.007283e+00, +3.803519e+00
i   , -5.024903e-02, -1.017029e-02, +3.083903e+04, +1.484382e-04, +3.803519e+00, +5.059306e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.025048
 a2 = 59.518248

Mean time residuals from time vs. length:
  Station with reference time: UK003H
  Avg. res. = 1.035e-05 s
  Stddev    = 3.22e-03 s

Begin point on the trajectory:
  Lon =    -4.085492 +/- 0.0015 deg
  Lat =    51.578472 +/- 0.0004 deg
  Ht  = 97930.10 +/- 95.01 m
End point on the trajectory:
  Lon =    -4.135157 +/- 0.0008 deg
  Lat =    51.591885 +/- 0.0003 deg
  Ht  = 89083.34 +/- 46.36 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
    UK0006,    True,    -1.306160,    51.883100,   80.00, 241.847179,   0.000000,    96980.91,    88165.92,          0.193500,       nan,       nan,              82.21, 0.0000,    True,    True, {"ff_name": "FF_UK0006_20211103_020935_053_0808192.fits"}
    UK001Z,    True,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,    97108.52,    89291.05,          0.084726,       nan,       nan,              71.03, 0.0000,    True,    True, {"ff_name": "FF_UK001Z_20211103_020940_906_0795904.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00, 152.292963,   0.000001,    97865.59,    89083.34,          0.029512,     72.47,     24.52,              71.03, 0.8943,    True,    True, {"ff_name": "FF_UK0024_20211103_020938_248_0795648.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,    97708.80,    89705.87,          0.041593,    134.29,     25.14,              80.83, 0.9746,    True,    True, {"ff_name": "FF_UK003E_20211103_020939_072_0803840.fits"}
    UK003H,   False,    -2.379250,    51.361350,  169.00,   0.117873,  47.903499,    97930.10,    89281.05,          0.015580,     41.61,      5.60,              73.73, 0.9215,    True,    True, {"ff_name": "FF_UK003H_20211103_020936_303_0218112.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,     UK0006,       1,  0.021869, 2459521.590055285487,   6.24170,  14.69649,              261.37758,  25.38697,       261.14954,       25.33943,      6.24170,     +14.69649,       6.37610,      +14.52967,  1319971.87,  3809801.08,  5049915.96,      51.579910,       -4.090829,   96980.91,  219348.29,       0.00,             1032.82,  -269.68,      0.00,           65658.22,    378.19,    715.82,         761.29,  +2.39,  +0.68
  1,     UK0006,       1,  0.062225, 2459521.590055752546,   5.94175,  14.35286,              261.38723,  24.93718,       261.25914,       24.91046,      5.94175,     +14.35286,       6.01778,      +14.25895,  1320159.15,  3808490.01,  5048860.66,      51.582272,       -4.099614,   95422.38,  219139.59,    1693.41,             2726.23,  -976.97,  41961.78,           65658.22,    213.63,    402.76,         429.13,  +3.38,  +1.68
  2,     UK0006,       1,  0.102821, 2459521.590056222398,   5.18005,  13.87071,              261.68446,  24.09751,       261.47536,       24.05394,      5.18005,     +13.87071,       5.30513,      +13.71680,  1320532.54,  3805876.03,  5046756.65,      51.586983,       -4.116977,   92315.23,  218751.84,    5069.68,             6102.50,   -15.68,  83167.48,           65658.22,    349.44,    660.94,         704.96,  +2.01,  +0.31
  3,     UK0006,       1,  0.143309, 2459521.590056690853,   4.60848,  13.45061,              261.86778,  23.42164,       261.64467,       23.37518,      4.60848,     +13.45061,       4.74289,      +13.28588,  1320827.36,  3803812.17,  5045095.43,      51.590704,       -4.130736,   89862.16,  218484.34,    7735.40,             8768.22,   241.48,  65839.74,           65658.22,    374.05,    707.92,         755.89,  +1.23,  -0.47
  4,     UK0006,       1,  0.183653, 2459521.590057157911,   4.21683,  13.15417,              261.98793,  22.95160,       261.76116,       22.90438,      4.21683,     +13.15417,       4.35417,      +12.98639,  1321031.22,  3802385.00,  5043946.69,      51.593278,       -4.140309,   88165.92,  218321.50,    9578.76,            10611.58,  -315.15,  45691.07,           62281.16,    381.12,    721.42,         770.85,  +2.84,  +1.14
  0,     UK001Z,       1,  0.005664, 2459521.590055097826, 341.13327,  57.21957,              314.77306,  40.30814,       314.89078,       40.29514,    341.13327,     +57.21957,     341.02015,      +57.28653,  1319956.54,  3809908.42,  5050002.36,      51.579717,       -4.090055,   97108.52,  148500.87,       0.00,              894.17,   555.69,      0.00,           56630.88,     75.21,   -222.76,         326.57,  +5.24,  +4.38
  1,     UK001Z,       1,  0.046052, 2459521.590055565350, 340.32144,  56.76810,              314.61528,  39.68784,       314.76946,       39.67082,    340.32144,     +56.76810,     340.17190,      +56.85558,  1320146.81,  3808576.42,  5048930.22,      51.582116,       -4.098978,   95525.11,  147945.54,    1720.45,             2614.62,  -126.47,  42597.95,           56630.88,     98.84,   -293.33,         431.55,  +3.26,  +2.41
  2,     UK001Z,       1,  0.086756, 2459521.590056036133, 338.88876,  56.06614,              314.47412,  38.63489,       314.57332,       38.62394,    338.88876,     +56.06614,     338.79114,      +56.12216,  1320463.10,  3806362.19,  5047147.97,      51.586107,       -4.113711,   92893.11,  147058.18,    4580.39,             5474.56,   312.07,  70261.92,           56630.88,     64.29,   -190.33,         281.77,  +2.39,  +1.55
  3,     UK001Z,       1,  0.127288, 2459521.590056505520, 337.85421,  55.52583,              314.36510,  37.84572,       314.42903,       37.83866,    337.85421,     +55.52583,     337.79089,      +55.56179,  1320697.71,  3804719.79,  5045825.98,      51.589067,       -4.124691,   90940.92,  146434.40,    6701.75,             7595.92,    22.26,  52338.05,           56630.88,     41.75,   -123.41,         183.51,  +1.12,  +0.29
  4,     UK001Z,       1,  0.167716, 2459521.590056973509, 337.04537,  55.03057,              314.22390,  37.17865,       314.30793,       37.16938,    337.04537,     +55.03057,     336.96147,      +55.07769,  1320895.99,  3803331.67,  5044708.67,      51.591570,       -4.134004,   89291.05,  145930.28,    8494.67,             9388.84,  -589.81,  44348.37,           54208.02,     55.11,   -163.10,         243.34,  +1.76,  +0.94
  0,     UK0024,       0,  0.005003, 2459521.590055090841, 341.50520,  57.44383,              314.86993,  40.59998,       314.94865,       40.59128,    341.50520,     +57.44383,     341.42994,      +57.48866,  1319865.57,  3810545.27,  5050514.97,      51.578570,       -4.085870,   97865.59,  148774.60,       0.00,               71.60,  -227.57,      0.00,           63116.01,     50.26,   -148.58,         217.46,  +2.06,  +1.20
  1,     UK0024,       0,  0.045659, 2459521.590055561159, 340.34805,  56.92142,              314.76797,  39.78751,       314.79206,       39.78485,    340.34805,     +56.92142,     340.32485,      +56.93510,  1320112.16,  3808818.96,  5049125.44,      51.581679,       -4.097382,   95813.42,  148045.35,    2229.75,             2301.35,  -416.37,  54844.25,           63116.01,     15.52,    -45.78,          67.34,  +1.73,  +0.88
  2,     UK0024,       0,  0.086583, 2459521.590056035202, 338.86439,  56.14792,              314.56888,  38.67226,       314.58305,       38.67070,    338.86439,     +56.14792,     338.85075,      +56.15593,  1320449.14,  3806459.94,  5047226.65,      51.585931,       -4.113067,   93009.30,  147095.45,    5276.70,             5348.30,   196.08,  74453.90,           63116.01,      9.22,    -27.17,          40.24,  +1.66,  +0.82
  3,     UK0024,       0,  0.127291, 2459521.590056505986, 337.78476,  55.54517,              314.41467,  37.82611,       314.42778,       37.82466,    337.78476,     +55.54517,     337.77219,      +55.55255,  1320701.99,  3804689.81,  5045801.85,      51.589121,       -4.124889,   90905.29,  146422.02,    7563.04,             7634.64,    60.78,  56164.49,           63116.01,      8.58,    -25.31,          37.65,  +0.84,  +0.01
  4,     UK0024,       0,  0.167907, 2459521.590056976303, 336.87044,  55.00992,              314.28086,  37.08690,       314.29455,       37.08539,    336.87044,     +55.00992,     336.85733,      +55.01759,  1320920.96,  3803156.91,  5044568.00,      51.591885,       -4.135157,   89083.34,  145866.30,    9542.97,             9614.57,  -375.46,  48747.48,           59938.35,      9.01,    -26.58,          39.69,  +0.86,  +0.04
  0,     UK003E,       0,  0.001175, 2459521.590055046137, 356.37388,  29.17382,              279.92714,  30.34316,       279.92542,       30.34300,    356.37388,     +29.17382,     356.37496,      +29.17266,  1319884.41,  3810413.38,  5050408.81,      51.578807,       -4.086720,   97708.80,  189105.05,       0.00,              241.95,   170.55,      0.00,           54281.70,      0.91,      4.83,           5.36,  +3.49,  +2.11
  1,     UK003E,       0,  0.082407, 2459521.590055986308, 354.99058,  28.24789,              280.17526,  28.83232,       280.10959,       28.82625,    354.99058,     +28.24789,     355.03288,      +28.20340,  1320445.18,  3806487.64,  5047248.94,      51.585881,       -4.112867,   93042.22,  188356.98,    5070.57,             5312.53,   408.78,  62420.87,           54281.70,     34.97,    186.93,         208.26,  +4.03,  +2.66
  2,     UK003E,       0,  0.122911, 2459521.590056455228, 354.47000,  27.85369,              280.23801,  28.22947,       280.18103,       28.22420,    354.47000,     +27.85369,     354.50718,      +27.81500,  1320666.44,  3804938.65,  5046002.14,      51.588673,       -4.123232,   91201.06,  188100.84,    7071.28,             7313.23,    -0.02,  49395.25,           54281.70,     30.50,    162.90,         181.74,  +1.18,  -0.19
  3,     UK003E,       0,  0.163319, 2459521.590056922752, 354.05793,  27.52150,              280.27441,  27.73707,       280.23848,       27.73375,    354.05793,     +27.52150,     354.08187,      +27.49706,  1320846.14,  3803680.70,  5044989.60,      51.590941,       -4.131686,   89705.87,  187910.20,    8696.08,             8938.03,  -779.02,  40209.90,           54281.70,     19.34,    103.08,         115.13,  +2.51,  +1.14
  0,     UK003H,       0,  0.000000, 2459521.590055032168,   1.04832,  35.91227,              282.19694,  38.18247,       282.18325,       38.18148,      1.04832,     +35.91227,       1.05613,      +35.90351,  1319857.82,  3810599.54,  5050558.65,      51.578472,       -4.085492,   97930.10,  156274.93,       0.00,                1.51,    -0.02,      0.00,           59908.19,      3.91,     29.20,          38.89,  +1.65,  +0.68
  1,     UK003H,       0,  0.040648, 2459521.590055502485,   0.29926,  35.44478,              282.26070,  37.41682,       282.26999,       37.41749,      0.29926,     +35.44478,       0.29405,      +35.45075,  1320097.62,  3808920.73,  5049207.36,      51.581496,       -4.096692,   95934.40,  155674.69,    2168.39,             2169.89,  -249.71,  53345.47,           59908.19,     -2.68,    -19.94,          26.66,  +1.59,  +0.63
  2,     UK003H,       0,  0.081460, 2459521.590055975132, 359.35547,  34.86827,              282.36521,  36.45724,       282.37675,       36.45807,    359.35547,     +34.86827,     359.34900,      +34.87572,  1320396.42,  3806829.00,  5047523.70,      51.585265,       -4.110617,   93447.97,  154963.91,    4870.11,             4871.62,    24.19,  66199.32,           59908.19,     -3.36,    -24.97,          33.54,  +1.91,  +0.96
  3,     UK003H,       0,  0.122176, 2459521.590056446381, 358.53891,  34.34783,              282.44649,  35.60977,       282.46863,       35.61137,    358.53891,     +34.34783,     358.52615,      +34.36220,  1320657.80,  3804999.20,  5046050.88,      51.588564,       -4.122830,   91273.02,  154379.50,    7233.52,             7235.03,   -34.52,  58046.22,           59908.19,     -6.49,    -48.25,          65.04,  +0.93,  -0.01
  4,     UK003H,       0,  0.162836, 2459521.590056916699, 357.79379,  33.86368,              282.52115,  34.82791,       282.55159,       34.83010,    357.79379,     +33.86368,     357.77598,      +33.88351,  1320897.20,  3803323.25,  5044701.89,      51.591585,       -4.134039,   89281.05,  153875.00,    9398.21,             9399.71,  -288.63,  53238.63,           58600.41,     -8.99,    -66.75,          90.28,  +0.97,  +0.03

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.