Orbital Analysis for matched events on 20210929_041945.381_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 112.68° Bg -14.21° Vg 64.08km/s
mass 0.02210g, abs. mag -0.7
Path Details
------------
start 2.19° 53.59° 99.75km
end   2.03° 53.68° 89.29km

Orbit Details
-------------
Semimajor axis 2.64A.U., eccentricity 0.72, inclination 152.15°, Period 4.30Y, LA Sun 185.95°, last Perihelion 2021-08-18

Full details below
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Detailed report below graphs

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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: 2459486.680386355612
Time: 2021-09-29 04:19:45.386074 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002K
 Convergence angle = 5.25649 deg
 R.A. = 114.95530  Dec =  +9.40333 deg
Intersection 2 - Stations: UK002F and UK0032
 Convergence angle = 6.08311 deg
 R.A. = 110.84472  Dec =  +6.33912 deg
Intersection 3 - Stations: UK002K and UK0032
 Convergence angle = 11.32841 deg
 R.A. = 112.58876  Dec =  +7.96454 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 11.33 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    979114.54 +/- 158.90 m
 Y =   3727000.81 +/- 109.37 m
 Z =   5189950.79 +/- 104.91 m
 Vx =   -24393.15 +/- 371.06 m/s
 Vy =    59627.92 +/- 971.85 m/s
 Vz =     8878.24 +/- 623.83 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.570878e+04, -1.749441e+04, -1.650551e+04, +8.070879e+04, +2.072005e+04, -6.136517e+04
-1.749441e+04, +1.255835e+04, +1.114886e+04, -5.116027e+04, -1.535609e+04, +3.929917e+04
-1.650551e+04, +1.114886e+04, +1.120958e+04, -4.936568e+04, -1.257308e+04, +4.006527e+04
+8.070879e+04, -5.116027e+04, -4.936568e+04, +4.576887e+05, -2.195441e+04, -3.283693e+05
+2.072005e+04, -1.535609e+04, -1.257308e+04, -2.195441e+04, +5.878877e+05, -7.781716e+04
-6.136517e+04, +3.929917e+04, +4.006527e+04, -3.283693e+05, -7.781716e+04, +2.648394e+05

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002F: 0.000299 s
    UK002K: -0.000562 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:19:45.386074 UTC
  Lon     = ++2.188410 +/- 0.0027 deg
  Lat     = +53.587813 +/- 0.0003 deg
  Lat geo = +53.406629 +/- 0.0003 deg
  Ht      =   99744.77 +/- 121.42 m

  JD dynamic   = 2459486.681187153794 
  LST apparent = 75.2805242935 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 112.24895 +/- 0.6300 deg
  Dec       =  +7.84642 +/- 0.4661 deg
  Azimuth   = 133.01986 +/- 0.9266 deg
  Elevation = +35.42833 +/- 0.1746 deg
  Vavg      =  64.39352 +/- 0.5773 km/s
  Vinit     =  65.03335 +/- 0.7220 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 112.44810 +/- 0.6300 deg
  Dec       =  +7.82610 +/- 0.4661 deg
  Azimuth   = 132.81338 +/- 0.9266 deg
  Elevation = +35.32350 +/- 0.1746 deg
  Vavg      =  64.56131 +/- 0.5773 km/s
  Vinit     =  65.20115 +/- 0.7220 km/s
Radiant (geocentric, J2000):
  R.A.   = 112.14947 +/- 0.6313 deg
  Dec    =  +7.50079 +/- 0.4715 deg
  Vg     =  64.07818 +/- 0.7326 km/s
  Vinf   =  65.03335 +/- 0.7220 km/s
  Zc     =  54.44817 +/- 0.1728 deg
  Zg     =  54.88431 +/- 0.1761 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 112.68076 +/- 0.5744 deg
  Bg     = -14.21003 +/- 0.5562 deg
  Vh     =  37.89032 +/- 0.6970 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 126.26163 +/- 0.9584 deg
  Bh     = -24.52426 +/- 1.0536 deg
  Vh_x   =  20.38931 +/- 0.7301 km/s
  Vh_y   = -27.79568 +/- 0.6583 km/s
  Vh_z   =  15.72746 +/- 0.6001 km/s
Orbit:
  La Sun = 185.953274 +/- 0.0000 deg
  a      =   2.644937 +/- 0.6812 AU
  e      =   0.717893 +/- 0.0447
  i      = 152.145790 +/- 0.9440 deg
  peri   = 292.916493 +/- 3.4724 deg
  node   =   5.956572 +/- 0.0000 deg
  Pi     = 298.873065 +/- 3.4723 deg
  q      =   0.746156 +/- 0.0187 AU
  f      =  67.084928 +/- 3.4724 deg
  M      =   9.462347 +/- 2.2799 deg
  Q      =   4.543719 +/- 1.3565 AU
  n      =   0.229130 +/- 0.0504 deg/day
  T      =   4.301537 +/- 1.9245 years
  Last perihelion JD = 2459445.384248 (2021-08-18 21:13:19.061166) +/- 1.8965 days
  Tj     =   1.090060 +/- 0.3357
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.143580e-03, +4.556552e-04, +8.239636e-02, +1.504689e-08, +2.138673e-03, +3.182820e-04
q   , +4.556552e-04, +3.937075e-04, +3.657088e-02, -7.656190e-09, +1.278248e-03, -1.579338e-04
Tp  , +8.239636e-02, +3.657088e-02, +4.394743e+00, -1.122234e-07, +1.351668e-01, -2.129559e-03
node, +1.504689e-08, -7.656190e-09, -1.122234e-07, +5.368452e-13, -1.498390e-08, +1.115944e-08
peri, +2.138673e-03, +1.278248e-03, +1.351668e-01, -1.498390e-08, +4.420784e-03, -3.061018e-04
i   , +3.182820e-04, -1.579338e-04, -2.129559e-03, +1.115944e-08, -3.061018e-04, +2.323474e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.000114
 a2 = 52.319932

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 3.348e-06 s
  Stddev    = 1.83e-03 s

Begin point on the trajectory:
  Lon =     2.188433 +/- 0.0028 deg
  Lat =    53.587800 +/- 0.0001 deg
  Ht  = 99746.32 +/- 126.05 m
End point on the trajectory:
  Lon =     2.026610 +/- 0.0028 deg
  Lat =    53.676702 +/- 0.0002 deg
  Ht  = 89287.92 +/- 126.14 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
    UK0026,    True,    -0.023645,    52.984073,    6.00, 112977.412210,   0.051673,    99499.41,    92873.57,          0.153146,       nan,       nan,              55.91, 0.0000,    True,    True, {"ff_name": "FF_UK0026_20210929_041937_538_0902400.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,  21.959239,   0.000000,    98099.38,    90370.50,          0.015834,     10.80,     87.06,              72.79, 0.9124,    True,    True, {"ff_name": "FF_UK002F_20210929_041944_782_0894208.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,    99746.32,    89287.92,          0.011322,      1.59,     38.63,              38.13, 0.3812,    True,    True, {"ff_name": "FF_UK002K_20210929_041941_980_0899840.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    98304.82,    89664.08,          0.005948,      4.37,     18.86,              55.91, 0.6859,    True,    True, {"ff_name": "FF_UK0032_20210929_041947_254_0901632.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,     UK0026,       1,  1.930037, 2459486.680408693850, 162.29341,  38.98628,               64.52106,  30.57552,        64.45031,       30.71743,    162.29341,     +38.98628,     162.22960,      +39.13025,   979261.80,  3726640.82,  5189897.19,      53.589744,       +2.176889,   99499.41,  190739.15,       0.00,              392.62, -124839.41,      0.00,           60043.45,   -500.94,    115.40,         555.87,  +4.60,  +3.20
  1,     UK0026,       1,  1.970413, 2459486.680409161374, 162.97253,  39.20605,               63.90535,  30.36466,        63.84019,       30.49378,    162.97253,     +39.20605,     162.91626,      +39.33771,   980129.85,  3724518.91,  5189581.25,      53.601127,       +2.156207,   98157.47,  189396.44,    2314.27,             2706.89, -125150.93,  57317.97,           60043.45,   -453.58,    104.66,         506.93,  +1.07,  -0.32
  2,     UK0026,       1,  2.010777, 2459486.680409628432, 163.63964,  39.42154,               63.30296,  30.15943,        63.24545,       30.27210,    163.63964,     +39.42154,     163.59254,      +39.53700,   980968.15,  3722469.73,  5189276.14,      53.612120,       +2.136210,   96862.00,  188117.55,    4549.21,             4941.83, -125540.99,  55369.70,           60043.45,   -393.95,     91.08,         443.32,  +0.57,  -0.80
  3,     UK0026,       1,  2.051257, 2459486.680410096887, 164.50632,  39.65724,               62.55888,  29.86425,        62.49545,       29.98669,    164.50632,     +39.65724,     164.45577,      +39.78352,   982015.34,  3719909.92,  5188895.00,      53.625854,       +2.111247,   95244.62,  186547.76,    7341.08,             7733.70, -125381.67,  68969.08,           60043.45,   -425.81,     98.37,         483.19,  +0.61,  -0.74
  4,     UK0026,       1,  2.091709, 2459486.680410565343, 165.32742,  39.87288,               61.86278,  29.58242,        61.79349,       29.71437,    165.32742,     +39.87288,     165.27372,      +40.00979,   982985.10,  3717539.39,  5188542.04,      53.638575,       +2.088091,   93747.46,  185119.26,    9926.51,            10319.13, -125426.97,  63913.40,           61556.69,   -456.64,    105.42,         522.15,  +0.69,  -0.65
  5,     UK0026,       1,  2.132009, 2459486.680411031470, 165.83831,  39.94591,               61.47939,  29.36448,        61.37981,       29.55241,    165.83831,     +39.94591,     165.75958,      +40.14170,   983551.13,  3716155.75,  5188336.02,      53.646000,       +2.074495,   92873.57,  184293.46,   11435.57,            11828.19, -126538.75,  37445.80,           58554.54,   -648.86,    148.97,         745.07,  +4.55,  +3.22
  0,     UK002F,       0,  0.052774, 2459486.680386963300, 185.24062,  37.48053,               49.39374,  16.48505,        49.40284,       16.47113,    185.24062,     +37.48053,     185.24232,      +37.46414,   980179.44,  3724397.69,  5189563.20,      53.601776,       +2.163048,   98099.38,  320054.08,       0.00,             2839.09,  -308.19,      0.00,           71888.01,     91.08,    -11.29,          59.15,  +3.52,  +0.99
  1,     UK002F,       0,  0.092970, 2459486.680387428496, 185.80979,  37.50314,               48.99946,  16.23738,        49.00333,       16.23149,    185.80979,     +37.50314,     185.81075,      +37.49620,   981172.51,  3721970.20,  5189201.76,      53.614800,       +2.139388,   96565.72,  319226.86,    2647.56,             5486.65,  -274.72,  65866.21,           71888.01,     38.49,     -4.77,          25.06,  +1.84,  -0.68
  2,     UK002F,       0,  0.133182, 2459486.680387893692, 186.44825,  37.53458,               48.55297,  15.96646,        48.55619,       15.96156,    186.44825,     +37.53458,     186.44923,      +37.52880,   982281.18,  3719260.10,  5188798.24,      53.629341,       +2.112963,   94854.36,  318327.93,    5603.33,             8442.42,    65.93,  73504.71,           71888.01,     31.97,     -3.96,          20.88,  +2.26,  -0.25
  3,     UK002F,       0,  0.173390, 2459486.680388359353, 187.10946,  37.57775,               48.08363,  15.69675,        48.09414,       15.68083,    187.10946,     +37.57775,     187.11142,      +37.55891,   983423.62,  3716467.44,  5188382.43,      53.644327,       +2.085705,   93091.78,  317428.12,    8649.15,            11488.24,   496.89,  75751.62,           71888.01,    103.68,    -12.86,          67.89,  +2.89,  +0.38
  4,     UK002F,       0,  0.213534, 2459486.680388823617, 187.55214,  37.59616,               47.77543,  15.50893,        47.78594,       15.49305,    187.55214,     +37.59616,     187.55415,      +37.57734,   984182.76,  3714611.77,  5188106.13,      53.654286,       +2.067517,   91921.07,  316842.32,   10673.05,            13512.14,   -89.91,  50415.90,           68040.46,    103.40,    -12.83,          67.83,  +2.08,  -0.42
  5,     UK002F,       0,  0.253722, 2459486.680389288813, 188.14107,  37.61993,               47.36539,  15.26005,        47.37714,       15.24236,    188.14107,     +37.61993,     188.14322,      +37.59893,   985188.63,  3712152.96,  5187740.03,      53.667483,       +2.043450,   90370.50,  316087.21,   13354.76,            16193.85,   -21.76,  66729.16,           66752.92,    115.06,    -14.28,          75.66,  +3.34,  +0.84
  0,     UK002K,       0,  0.004419, 2459486.680386412889, 146.33568,  24.85253,               87.10338,  29.34248,        87.09403,       29.36594,    146.33568,     +24.85253,     146.32557,      +24.87561,   979113.53,  3727003.26,  5189951.15,      53.587800,       +2.188433,   99746.32,  198620.33,       0.00,                2.67,     0.04,      0.00,           65413.27,    -86.04,      3.52,          89.43,  +2.42,  +0.93
  1,     UK002K,       0,  0.044395, 2459486.680386875756, 146.80355,  25.03599,               86.59802,  29.20355,        86.59333,       29.21518,    146.80355,     +25.03599,     146.79875,      +25.04745,   980109.08,  3724569.70,  5189588.81,      53.600854,       +2.164743,   98208.08,  196488.87,    2654.17,             2651.50,    49.09,  66394.06,           65413.27,    -42.23,      1.74,          44.37,  +1.13,  -0.34
  2,     UK002K,       0,  0.084371, 2459486.680387338158, 147.27991,  25.21504,               86.09069,  29.05632,        86.08881,       29.06094,    147.27991,     +25.21504,     147.27829,      +25.21960,   981093.79,  3722162.60,  5189230.41,      53.613767,       +2.141284,   96687.26,  194393.34,    5279.47,             5276.80,    74.62,  65671.97,           65413.27,    -16.62,      0.69,          17.65,  +0.95,  -0.49
  3,     UK002K,       0,  0.124351, 2459486.680387801025, 147.75636,  25.39159,               85.58657,  28.90724,        85.58735,       28.90534,    147.75636,     +25.39159,     147.75768,      +25.38971,   982054.85,  3719813.35,  5188880.62,      53.626372,       +2.118359,   95203.65,  192360.63,    7841.70,             7839.03,    36.82,  64087.70,           65413.27,      6.76,     -0.28,           7.26,  +0.87,  -0.55
  4,     UK002K,       0,  0.164343, 2459486.680388263892, 148.22787,  25.54736,               85.10322,  28.74550,        85.10046,       28.75211,    148.22787,     +25.54736,     148.22577,      +25.55394,   982971.68,  3717572.19,  5188546.92,      53.638398,       +2.096460,   93788.91,  190433.08,   10286.02,            10283.35,  -119.68,  61120.25,           64430.41,    -23.37,      0.97,          25.34,  +0.90,  -0.50
  5,     UK002K,       0,  0.204319, 2459486.680388726760, 148.74477,  25.73139,               84.56492,  28.57837,        84.56399,       28.58058,    148.74477,     +25.73139,     148.74470,      +25.73360,   983963.97,  3715146.60,  5188185.77,      53.651415,       +2.072747,   92258.44,  188361.43,   12931.50,            12928.82,   -73.97,  66176.60,           64399.08,     -7.75,      0.32,           8.50,  +0.91,  -0.46
  6,     UK002K,       0,  0.244311, 2459486.680389189627, 149.29433,  25.90819,               84.00845,  28.38670,        84.00342,       28.39844,    149.29433,     +25.90819,     149.29048,      +25.91994,   984981.48,  3712659.33,  5187815.43,      53.664765,       +2.048409,   90689.77,  186252.63,   15644.25,            15641.58,    37.97,  67832.41,           64755.87,    -40.75,      1.69,          45.17,  +0.96,  -0.39
  7,     UK002K,       0,  0.284279, 2459486.680389652029, 149.78764,  26.09226,               83.49148,  28.23399,        83.49309,       28.23026,    149.78764,     +26.09226,     149.79037,      +26.08851,   985891.19,  3710435.59,  5187484.33,      53.676702,       +2.026610,   89287.92,  184379.78,   18069.58,            18066.91,  -135.96,  60681.78,           64565.12,     12.86,     -0.54,          14.39,  +1.95,  +0.62
  0,     UK0032,       1,  0.000000, 2459486.680386355612, 162.22180,  39.05373,               64.51244,  30.66264,        64.52486,       30.63762,    162.22180,     +39.05373,     162.23451,      +39.02838,   979264.15,  3726635.08,  5189896.33,      53.589775,       +2.184897,   99513.55,  191165.32,       0.00,              398.88,   683.65,      0.00,           59189.44,     88.41,    -20.53,          97.93,  +5.20,  +3.79
  1,     UK0032,       0,  0.040048, 2459486.680386818945, 162.84576,  39.22383,               63.97250,  30.44595,        63.97710,       30.43680,    162.84576,     +39.22383,     162.85051,      +39.21451,   980046.46,  3724722.77,  5189611.60,      53.600033,       +2.166244,   98304.82,  189952.89,    2085.67,             2484.55,   164.87,  52079.26,           59189.44,     32.20,     -7.47,          35.90,  +1.91,  +0.52
  2,     UK0032,       0,  0.080096, 2459486.680387282744, 163.57016,  39.42209,               63.34708,  30.19719,        63.34519,       30.20091,    163.57016,     +39.42209,     163.56866,      +39.42589,   980941.10,  3722535.86,  5189285.98,      53.611765,       +2.144917,   96923.04,  188586.50,    4470.82,             4869.70,   -54.44,  59557.34,           59189.44,    -13.03,      3.02,          14.63,  +0.76,  -0.62
  3,     UK0032,       0,  0.120128, 2459486.680387746077, 164.37804,  39.65871,               62.63969,  29.93387,        62.64034,       29.93262,    164.37804,     +39.65871,     164.37914,      +39.65742,   981929.30,  3720120.24,  5188926.31,      53.624725,       +2.121353,   95397.42,  187102.07,    7105.43,             7504.32,   -23.24,  65812.63,           59189.44,      4.36,     -1.01,           4.93,  +0.79,  -0.57
  4,     UK0032,       0,  0.160176, 2459486.680388209410, 165.20754,  39.88184,               61.93204,  29.65256,        61.92978,       29.65687,    165.20754,     +39.88184,     165.20616,      +39.88632,   982915.35,  3717709.88,  5188567.42,      53.637659,       +2.097815,   93875.82,  185646.49,    9734.29,            10133.17,     1.16,  65642.68,           61154.69,    -14.97,      3.47,          17.08,  +0.87,  -0.47
  5,     UK0032,       0,  0.200216, 2459486.680388672743, 166.10341,  40.12127,               61.17199,  29.35140,        61.16964,       29.35584,    166.10341,     +40.12127,     166.10219,      +40.12590,   983959.59,  3715157.29,  5188187.36,      53.651358,       +2.072871,   92265.18,  184134.11,   12518.29,            12917.17,   181.22,  69530.35,           62912.61,    -15.29,      3.54,          17.59,  +0.59,  -0.74
  6,     UK0032,       0,  0.240252, 2459486.680389136076, 166.89700,  40.32227,               60.50994,  29.07995,        60.50554,       29.08814,    166.89700,     +40.32227,     166.89428,      +40.33087,   984862.84,  3712949.35,  5187858.61,      53.663208,       +2.051248,   90872.64,  182849.04,   14926.39,            15325.27,   -14.36,  60148.34,           63244.33,    -28.13,      6.52,          32.57,  +0.89,  -0.42
  7,     UK0032,       0,  0.280276, 2459486.680389599409, 167.59433,  40.50575,               59.92466,  28.84904,        59.92403,       28.85019,    167.59433,     +40.50575,     167.59498,      +40.50697,   985647.04,  3711032.40,  5187573.19,      53.673498,       +2.032437,   89664.08,  181750.86,   17017.11,            17415.99,  -526.53,  52236.72,           62465.71,     -3.96,      0.92,           4.62,  +3.82,  +2.52

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.