Orbital Analysis for matched events on 20211111_233236.668_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 73.81° Bg -20.60° Vg 42.73km/s
mass 0.20013g, abs. mag -1.3
best visual mag 0.5
Path Details
------------
start 1.87° 53.35° 91.95km
end   1.72° 53.47° 80.02km

Orbit Details
-------------
Semimajor axis 40.70A.U., eccentricity 0.99, inclination 47.82°, Period 259.64Y, LA Sun 229.50°, last Perihelion 1762-04-21

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: 2459530.480979955290
Time: 2021-11-11 23:32:36.708129 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK004P
 Convergence angle = 24.97483 deg
 R.A. =  75.03082  Dec =  +2.85647 deg

Best intersection: Stations UK002K and UK004P with Qconv = 24.97 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2672368.32 +/- 105.52 m
 Y =   2801775.75 +/- 321.61 m
 Z =   5167457.29 +/- 126.03 m
 Vx =    11560.45 +/- 705.66 m/s
 Vy =    42550.15 +/- 870.55 m/s
 Vz =     2268.39 +/- 361.65 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+6.536830e+03, -1.901823e+04, -7.182334e+03, +1.373105e+04, -4.508874e+04, -1.674492e+04
-1.901823e+04, +5.958315e+04, +2.239780e+04, -4.160746e+04, +1.402755e+05, +5.441939e+04
-7.182334e+03, +2.239780e+04, +8.802657e+03, -1.572225e+04, +5.333462e+04, +2.152380e+04
+1.373105e+04, -4.160746e+04, -1.572225e+04, +3.789892e+04, -1.098864e+05, -4.446346e+04
-4.508874e+04, +1.402755e+05, +5.333462e+04, -1.098864e+05, +3.526366e+05, +1.401459e+05
-1.674492e+04, +5.441939e+04, +2.152380e+04, -4.446346e+04, +1.401459e+05, +5.999795e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK004P: -0.001436 s

Reference point on the trajectory:
  Time: 2021-11-11 23:32:36.708129 UTC
  Lon     = ++1.876424 +/- 0.0044 deg
  Lat     = +53.338278 +/- 0.0005 deg
  Lat geo = +53.156418 +/- 0.0005 deg
  Ht      =   92637.05 +/- 196.55 m

  JD dynamic   = 2459530.481781159062 
  LST apparent = 46.3542059983 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  74.80022 +/- 0.6709 deg
  Dec       =  +2.94505 +/- 0.4180 deg
  Azimuth   = 144.77464 +/- 0.9287 deg
  Elevation = +34.43851 +/- 0.1733 deg
  Vavg      =  43.91509 +/- 0.2771 km/s
  Vinit     =  44.15093 +/- 0.7774 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  75.12183 +/- 0.6709 deg
  Dec       =  +2.93606 +/- 0.4180 deg
  Azimuth   = 144.41334 +/- 0.9287 deg
  Elevation = +34.31882 +/- 0.1733 deg
  Vavg      =  44.05010 +/- 0.2771 km/s
  Vinit     =  44.28594 +/- 0.7774 km/s
Radiant (geocentric, J2000):
  R.A.   =  74.85764 +/- 0.6647 deg
  Dec    =  +1.99039 +/- 0.4584 deg
  Vg     =  42.72993 +/- 0.8033 km/s
  Vinf   =  44.15093 +/- 0.7774 km/s
  Zc     =  55.41300 +/- 0.1718 deg
  Zg     =  56.39724 +/- 0.2084 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  73.80583 +/- 0.7601 deg
  Bg     = -20.60012 +/- 0.3824 deg
  Vh     =  42.07714 +/- 0.2432 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  29.22217 +/- 1.4142 deg
  Bh     = -20.93365 +/- 0.1101 deg
  Vh_x   = -34.29827 +/- 0.2763 km/s
  Vh_y   = -19.18608 +/- 0.9617 km/s
  Vh_z   =  15.03360 +/- 0.0720 km/s
Orbit:
  La Sun = 229.501101 +/- -0.0000 deg
  a      =  40.699222 +/- 86.7585 AU
  e      =   0.994399 +/- 0.0055
  i      =  47.821037 +/- 1.7762 deg
  peri   = 122.943014 +/- 1.5090 deg
  node   =  49.502074 +/- 0.0000 deg
  Pi     = 172.445087 +/- 1.5090 deg
  q      =   0.227943 +/- 0.0129 AU
  f      = 237.056086 +/- 1.5090 deg
  M      = 359.868046 +/- nan deg
  Q      =  81.170500 +/- 173.5128 AU
  n      =   0.003796 +/- 0.0040 deg/day
  T      = 259.644896 +/- nan years
  Last perihelion JD = 2364728.292813 (1762-04-21 19:01:39.012002) +/- 207769.2695 days
  Tj     =   0.524772 +/- 0.1427
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.670794e-05, -3.308386e-05, -5.582322e+02, -9.762692e-08, +3.662074e-03, +4.532894e-03
q   , -3.308386e-05, +7.786376e-05, +1.033909e+03, +2.181001e-07, -8.940386e-03, -1.010173e-02
Tp  , -5.582322e+02, +1.033909e+03, +4.135004e+10, +3.391136e+00, -1.128794e+05, -1.601221e+05
node, -9.762692e-08, +2.181001e-07, +3.391136e+00, +6.396469e-10, -2.479760e-05, -2.972663e-05
peri, +3.662074e-03, -8.940386e-03, -1.128794e+05, -2.479760e-05, +1.033667e+00, +1.148244e+00
i   , +4.532894e-03, -1.010173e-02, -1.601221e+05, -2.972663e-05, +1.148244e+00, +1.382583e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 12.495972
 a2 = 5.139116

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 4.989e-06 s
  Stddev    = 2.23e-03 s

Begin point on the trajectory:
  Lon =     1.867813 +/- 0.0040 deg
  Lat =    53.345575 +/- 0.0004 deg
  Ht  = 91945.50 +/- 174.99 m
End point on the trajectory:
  Lon =     1.716289 +/- 0.0015 deg
  Lat =    53.471782 +/- 0.0007 deg
  Ht  = 80023.54 +/- 46.96 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.001182,  23.656449,    91945.50,    80068.07,          0.009578,     11.97,     25.70,              37.74, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211111_233227_839_0604928.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,  13.046810,   5.131513,    89000.28,    80023.54,          0.009472,     17.31,     51.28,             104.71, 1.0000,    True,    True, {"ff_name": "FF_UK004P_20211111_233230_043_0599296.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,     UK002K,       1,  0.000000, 2459530.480979955290, 109.42922,  19.96263,               97.50763,  30.50977,        97.50339,       30.52206,    109.42922,     +19.96263,     109.42405,      +19.97450,  2672369.00,  2801778.23,  5167457.42,      53.338262,       +1.876610,   92638.50,  178733.96,       0.00,                2.57,   545.63,      0.00,           40076.26,    -36.25,    -16.89,          46.14,  +6.86,  +5.60
  1,     UK002K,       0,  0.040000, 2459530.480980418157, 109.66398,  20.06026,               97.23723,  30.44745,        97.23471,       30.45469,    109.66398,     +20.06026,     109.66110,      +20.06727,  2672048.10,  2800597.11,  5167394.45,      53.345575,       +1.867813,   91945.50,  177757.97,    1225.55,             1222.98,     0.00,  30638.77,           40076.26,    -21.28,     -9.91,          27.24,  +2.66,  +1.41
  2,     UK002K,       0,  0.080008, 2459530.480980881490, 110.02300,  20.19855,               96.83245,  30.34328,        96.82970,       30.35108,    110.02300,     +20.19855,     110.02007,      +20.20610,  2671570.48,  2798839.16,  5167300.74,      53.356462,       +1.854793,   90914.33,  176315.87,    3049.64,             3047.07,    57.70,  45593.11,           40076.26,    -22.73,    -10.58,          29.33,  +1.93,  +0.70
  3,     UK002K,       0,  0.120016, 2459530.480981344357, 110.35901,  20.33168,               96.45169,  30.24840,        96.45014,       30.25276,    110.35901,     +20.33168,     110.35769,      +20.33591,  2671128.87,  2797213.75,  5167214.08,      53.366529,       +1.842732,   89961.20,  174988.23,    4736.20,             4733.63,   -22.13,  42155.55,           40076.26,    -12.64,     -5.88,          16.43,  +1.37,  +0.15
  4,     UK002K,       0,  0.160028, 2459530.480981807690, 110.72151,  20.46185,               96.05158,  30.13532,        96.04740,       30.14695,    110.72151,     +20.46185,     110.71734,      +20.47316,  2670666.57,  2795512.18,  5167123.37,      53.377070,       +1.830105,   88963.71,  173605.60,    6501.79,             6499.21,   -23.11,  44126.42,           41278.24,    -33.45,    -15.58,          43.84,  +1.43,  +0.23
  5,     UK002K,       0,  0.200028, 2459530.480982270557, 111.10046,  20.61980,               95.61830,  30.03377,        95.61872,       30.03262,    111.10046,     +20.61980,     111.10177,      +20.61869,  2670181.40,  2793726.43,  5167028.17,      53.388135,       +1.816850,   87917.22,  172162.71,    8354.71,             8352.14,    63.78,  46323.22,           42342.20,      3.27,      1.52,           4.33,  +1.33,  +0.15
  6,     UK002K,       0,  0.240040, 2459530.480982733425, 111.43353,  20.73604,               95.25475,  29.92677,        95.25216,       29.93383,    111.43353,     +20.73604,     111.43162,      +20.74293,  2669771.91,  2792219.22,  5166947.82,      53.397476,       +1.805628,   87034.22,  170949.62,    9918.63,             9916.06,  -138.87,  39086.16,           42373.30,    -20.04,     -9.33,          26.67,  +0.90,  -0.26
  7,     UK002K,       0,  0.280064, 2459530.480983196758, 111.85182,  20.87451,               94.80472,  29.78630,        94.79631,       29.80886,    111.85182,     +20.87451,     111.84372,      +20.89659,  2669269.64,  2790370.53,  5166849.26,      53.408934,       +1.791891,   85951.51,  169471.85,   11836.87,            11834.29,    12.27,  47927.15,           42849.29,    -63.57,    -29.61,          85.36,  +0.74,  -0.41
  8,     UK002K,       0,  0.320052, 2459530.480983659625, 112.18905,  21.02465,               94.41461,  29.70260,        94.41444,       29.70305,    112.18905,     +21.02465,     112.19021,      +21.02509,  2668854.46,  2788842.40,  5166767.80,      53.418408,       +1.780498,   85056.80,  168255.46,   13422.49,            13419.92,  -167.62,  39652.51,           42858.37,     -1.25,     -0.58,           1.69,  +0.81,  -0.32
  9,     UK002K,       0,  0.360064, 2459530.480984122492, 112.59695,  21.16775,               93.97188,  29.57135,        93.96943,       29.57779,    112.59695,     +21.16775,     112.59583,      +21.17407,  2668377.06,  2787085.24,  5166674.12,      53.429303,       +1.767413,   84028.33,  166866.01,   15245.75,            15243.18,  -110.92,  45567.85,           43010.80,    -17.90,     -8.33,          24.41,  +0.83,  -0.28
 10,     UK002K,       0,  0.400064, 2459530.480984585825, 112.99078,  21.32238,               93.53342,  29.45710,        93.53471,       29.45376,    112.99078,     +21.32238,     112.99381,      +21.31909,  2667917.08,  2785392.21,  5166583.86,      53.439803,       +1.754788,   83037.70,  165534.97,   17002.48,            16999.91,  -120.23,  43918.23,           43135.18,      9.24,      4.30,          12.69,  +0.70,  -0.39
 11,     UK002K,       0,  0.440076, 2459530.480985048693, 113.42537,  21.47073,               93.06704,  29.31358,        93.06540,       29.31780,    113.42537,     +21.47073,     113.42551,      +21.47489,  2667427.43,  2783589.97,  5166487.79,      53.450982,       +1.741349,   81983.52,  164127.64,   18872.52,            18869.95,   -16.76,  46737.04,           43345.49,    -11.56,     -5.38,          16.03,  +0.69,  -0.39
 12,     UK002K,       0,  0.480068, 2459530.480985511560, 113.79099,  21.62031,               92.65749,  29.21174,        92.66222,       29.19969,    113.79099,     +21.62031,     113.79785,      +21.60840,  2667012.29,  2782061.97,  5166406.33,      53.460461,       +1.729921,   81090.01,  162940.37,   20458.00,            20455.43,  -196.96,  39644.97,           43350.66,     32.87,     15.28,          45.89,  +0.57,  -0.49
 13,     UK002K,       0,  0.520092, 2459530.480985974893, 114.23184,  21.75636,               92.19722,  29.05463,        92.19484,       29.06063,    114.23184,     +21.75636,     114.23161,      +21.76230,  2666537.33,  2780313.79,  5166313.13,      53.471309,       +1.716861,   80068.07,  161591.92,   22271.96,            22269.39,  -150.10,  45321.61,           43410.24,    -16.24,     -7.55,          22.86,  +0.62,  -0.42
 14,     UK002K,       1,  0.560048, 2459530.480986437295, 114.50690,  21.91083,               91.85977,  29.00998,        91.87747,       28.96569,    114.50690,     +21.91083,     114.52697,      +21.86689,  2666218.44,  2779140.08,  5166250.56,      53.478593,       +1.708031,   79382.07,  160688.59,   23489.82,            23487.25,  -696.33,  30480.17,           43126.16,    119.37,     55.38,         168.91,  +2.16,  +1.13
  0,     UK004P,       0,  0.159134, 2459530.480981813278, 194.10052,  50.40349,               19.60320,  14.46954,        19.59599,       14.47661,    194.10052,     +50.40349,     194.10782,      +50.41248,  2670683.53,  2795574.57,  5167126.70,      53.376684,       +1.830560,   89000.28,  325105.10,       0.00,             6434.48,   -48.37,      0.00,           44205.81,    -53.41,    -18.02,          35.77,  +2.27,  -0.29
  1,     UK004P,       0,  0.199346, 2459530.480982278474, 194.58397,  50.27944,               19.34491,  14.25050,        19.35121,       14.24432,    194.58397,     +50.27944,     194.57895,      +50.27160,  2670172.03,  2793691.92,  5167026.33,      53.388349,       +1.816594,   87897.00,  325637.91,    1953.48,             8387.95,   129.71,  48579.42,           44205.81,     46.79,     15.79,          31.28,  +1.39,  -1.17
  2,     UK004P,       0,  0.239538, 2459530.480982743669, 194.96730,  50.14365,               19.15137,  14.04217,        19.14502,       14.04839,    194.96730,     +50.14365,     194.97426,      +50.15152,  2669739.64,  2792100.43,  5166941.49,      53.398212,       +1.804753,   86964.64,  326096.23,    3604.84,            10039.31,     6.56,  41086.88,           44205.81,    -47.21,    -15.93,          31.52,  +0.85,  -1.72
  3,     UK004P,       0,  0.279734, 2459530.480983208865, 195.38804,  50.01568,               18.93036,  13.83417,        18.92541,       13.83902,    195.38804,     +50.01568,     195.39390,      +50.02181,  2669276.67,  2790396.39,  5166850.64,      53.408774,       +1.792077,   85966.65,  326595.84,    5372.99,            11807.46,     0.01,  43988.12,           44205.81,    -36.88,    -12.45,          24.58,  +0.69,  -1.88
  4,     UK004P,       0,  0.319918, 2459530.480983674061, 195.81136,  49.90002,               18.70224,  13.63811,        18.70867,       13.63182,    195.81136,     +49.90002,     195.80657,      +49.89208,  2668817.54,  2788706.49,  5166760.55,      53.419250,       +1.779494,   84977.25,  327100.01,    7126.47,            13560.94,   -20.67,  43636.35,           43966.22,     47.95,     16.19,          31.91,  +0.73,  -1.84
  5,     UK004P,       0,  0.360098, 2459530.480984139256, 196.16448,  49.77182,               18.52102,  13.44506,        18.51732,       13.44867,    196.16448,     +49.77182,     196.16955,      +49.77637,  2668410.79,  2787209.40,  5166680.74,      53.428533,       +1.768320,   84100.98,  327553.49,    8679.88,            15114.36,  -241.24,  38661.31,           43140.22,    -27.61,     -9.32,          18.35,  +0.67,  -1.91
  6,     UK004P,       0,  0.400306, 2459530.480984604452, 196.57740,  49.62337,               18.30710,  13.22136,        18.29405,       13.23408,    196.57740,     +49.62337,     196.59171,      +49.63938,  2667933.26,  2785451.76,  5166587.04,      53.439433,       +1.755220,   83072.54,  328095.17,   10503.64,            16938.11,  -192.71,  45358.03,           43082.86,    -97.55,    -32.92,          64.72,  +0.52,  -2.06
  7,     UK004P,       0,  0.440490, 2459530.480985069647, 197.00753,  49.50963,               18.06980,  13.02808,        18.07500,       13.02302,    197.00753,     +49.50963,     197.00430,      +49.50327,  2667462.43,  2783718.79,  5166494.65,      53.450183,       +1.742291,   82058.85,  328638.30,   12301.81,            18736.28,  -168.69,  44748.45,           43197.72,     38.94,     13.15,          25.79,  +0.60,  -1.98
  8,     UK004P,       0,  0.480690, 2459530.480985534843, 197.39893,  49.35798,               17.86739,  12.80703,        17.85943,       12.81478,    197.39893,     +49.35798,     197.40877,      +49.36769,  2666996.78,  2782004.90,  5166403.28,      53.460815,       +1.729492,   81056.65,  329184.24,   14080.17,            20514.65,  -165.20,  44237.96,           43320.69,    -59.72,    -20.16,          39.49,  +0.55,  -2.04
  9,     UK004P,       0,  0.520882, 2459530.480986000039, 197.82023,  49.22735,               17.63793,  12.60098,        17.63832,       12.60060,    197.82023,     +49.22735,     197.82202,      +49.22687,  2666516.62,  2780237.58,  5166309.07,      53.471782,       +1.716289,   80023.54,  329756.49,   15913.98,            22348.46,  -105.90,  45626.24,           43509.05,      2.94,      0.99,           1.94,  +0.64,  -1.95

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.