Orbital Analysis for matched events on 20210904_035238.854_UK

Summary for Event
-----------------
shower ID 694 OMG
Lg 108.92° Bg 18.93° Vg 53.66km/s
mass 0.01580g, abs. mag 0.3
Path Details
------------
start -0.04° 50.91° 105.44km
end   -0.19° 50.88° 95.42km

Orbit Details
-------------
Semimajor axis 2.13A.U., eccentricity 0.88, inclination 121.81°, Period 3.11Y, LA Sun 161.55°, last Perihelion 2021-07-25

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: 2459461.661560817622
Time: 2021-09-04 03:52:38.854643 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK002C
 Convergence angle = 11.17759 deg
 R.A. = 111.70137  Dec = +39.36032 deg

Best intersection: Stations UK000F and UK002C with Qconv = 11.18 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3062218.51 +/- 31.71 m
 Y =   2720588.64 +/- 560.54 m
 Z =   5009238.83 +/- 181.51 m
 Vx =   -16600.78 +/- 194.82 m/s
 Vy =    37810.86 +/- 2035.49 m/s
 Vz =    36018.43 +/- 1766.11 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.155640e+03, +1.168102e+04, +3.930997e+03, +6.054937e+03, +2.868747e+04, +8.109681e+03
+1.168102e+04, +3.359816e+05, +1.081699e+05, +1.209327e+05, +1.124421e+06, +2.498088e+05
+3.930997e+03, +1.081699e+05, +3.556410e+04, +4.019544e+04, +3.617562e+05, +8.361512e+04
+6.054937e+03, +1.209327e+05, +4.019544e+04, +7.801473e+04, +4.819998e+05, +9.051684e+04
+2.868747e+04, +1.124421e+06, +3.617562e+05, +4.819998e+05, +4.449921e+06, +8.888120e+05
+8.109681e+03, +2.498088e+05, +8.361512e+04, +9.051684e+04, +8.888120e+05, +2.187186e+05

Timing offsets (from input data):
    UK000F: -0.002510 s
    UK002B: 0.000000 s
    UK002C: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 03:52:38.854643 UTC
  Lon     = +-0.036353 +/- 0.0057 deg
  Lat     = +50.911593 +/- 0.0017 deg
  Lat geo = +50.726195 +/- 0.0017 deg
  Ht      =  105458.95 +/- 383.49 m

  JD dynamic   = 2459461.662361558527 
  LST apparent = 41.6190769625 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 113.70377 +/- 1.3343 deg
  Dec       = +41.09593 +/- 0.8946 deg
  Azimuth   =  71.88934 +/- 1.7617 deg
  Elevation = +41.02300 +/- 0.3062 deg
  Vavg      =  54.34868 +/- 1.6757 km/s
  Vinit     =  54.79575 +/- 1.6862 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 113.83039 +/- 1.3343 deg
  Dec       = +40.90127 +/- 0.8946 deg
  Azimuth   =  72.01715 +/- 1.7617 deg
  Elevation = +40.82885 +/- 0.3062 deg
  Vavg      =  54.56326 +/- 1.6757 km/s
  Vinit     =  55.01033 +/- 1.6862 km/s
Radiant (geocentric, J2000):
  R.A.   = 113.90751 +/- 1.3750 deg
  Dec    = +40.81362 +/- 0.8794 deg
  Vg     =  53.65984 +/- 1.7191 km/s
  Vinf   =  54.79575 +/- 1.6862 km/s
  Zc     =  49.03487 +/- 0.3108 deg
  Zg     =  49.58226 +/- 0.3415 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 108.92084 +/- 0.9554 deg
  Bg     = +18.93337 +/- 1.0326 deg
  Vh     =  36.64977 +/- 0.9167 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 141.98870 +/- 2.9334 deg
  Bh     = +28.36671 +/- 1.4264 deg
  Vh_x   =  25.40867 +/- 0.2790 km/s
  Vh_y   = -19.85950 +/- 2.1133 km/s
  Vh_z   = -17.41278 +/- 0.4738 km/s
Orbit:
  La Sun = 161.553983 +/- 0.0000 deg
  a      =   2.132405 +/- 0.7552 AU
  e      =   0.879902 +/- 0.0145
  i      = 121.808626 +/- 5.0515 deg
  peri   =  53.558238 +/- 4.0571 deg
  node   = 161.554802 +/- 0.0003 deg
  Pi     = 215.113040 +/- 4.0569 deg
  q      =   0.256098 +/- 0.0231 AU
  f      = 126.439561 +/- 4.0573 deg
  M      =  12.833015 +/- 2.7948 deg
  Q      =   4.008712 +/- 1.4884 AU
  n      =   0.316519 +/- 0.0687 deg/day
  T      =   3.113904 +/- 2.0815 years
  Last perihelion JD = 2459421.118122 (2021-07-25 14:50:05.750357) +/- 0.2335 days
  Tj     =   2.119935 +/- 0.4699
Shower association:
  IAU No.  =  694
  IAU code =  OMG

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.026909e-04, +3.158433e-04, +3.094189e-03, -6.480943e-08, +9.842861e-04, +1.212455e-03
q   , +3.158433e-04, +5.343772e-04, +4.270833e-03, -1.072487e-07, +1.644186e-03, +2.028924e-03
Tp  , +3.094189e-03, +4.270833e-03, +5.562545e-02, -9.018240e-07, +1.366512e-02, +1.677381e-02
node, -6.480943e-08, -1.072487e-07, -9.018240e-07, +2.234486e-11, -3.308413e-07, -4.202920e-07
peri, +9.842861e-04, +1.644186e-03, +1.366512e-02, -3.308413e-07, +5.074204e-03, +6.261906e-03
i   , +1.212455e-03, +2.028924e-03, +1.677381e-02, -4.202920e-07, +6.261906e-03, +7.951414e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002C
  Avg. res. = 1.737e-05 s
  Stddev    = 4.17e-03 s

Begin point on the trajectory:
  Lon =    -0.036623 +/- 0.0060 deg
  Lat =    50.911537 +/- 0.0016 deg
  Ht  = 105441.29 +/- 399.45 m
End point on the trajectory:
  Lon =    -0.191289 +/- 0.0033 deg
  Lat =    50.879677 +/- 0.0010 deg
  Ht  = 95415.12 +/- 211.40 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
    UK000F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   104132.85,    95550.43,          0.020217,      6.51,     59.65,              50.67, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210904_035231_315_0733184.fits"}
    UK002B,    True,    -1.367130,    50.815550,   22.00,   0.000000,   0.000000,   107680.01,    95423.01,          0.191712,       nan,       nan,              10.19, 0.0000,    True,    True, {"ff_name": "FF_UK002B_20210904_035233_074_0769024.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,   105441.29,    95415.12,          0.010121,      2.44,     29.14,              29.13, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210904_035231_742_0763136.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,     UK000F,       0,  0.038555, 2459461.661561293993,  71.21660,   4.26954,              140.80754,  35.94008,       140.81523,       35.95214,     71.21660,      +4.26954,      71.20630,       +4.27820,  3062830.66,  2719194.38,  5007910.67,      50.907400,       -0.056794,  104132.85,  174600.92,       0.00,             2020.57,  -101.41,      0.00,           54258.33,    -41.11,     -4.47,          48.85,  +5.65,  +4.44
  1,     UK000F,       0,  0.078867, 2459461.661561760586,  70.76920,   3.72713,              141.57388,  35.61320,       141.58464,       35.62980,     70.76920,      +3.72713,      70.75505,       +3.73909,  3063633.83,  2717365.02,  5006168.03,      50.901891,       -0.083563,  102393.49,  173009.00,    2651.11,             4671.69,   340.78,  65764.89,           54258.33,    -56.33,     -6.13,          67.55,  +5.31,  +4.12
  2,     UK000F,       0,  0.119083, 2459461.661562225781,  70.44402,   3.34277,              142.12266,  35.38200,       142.13228,       35.39669,     70.44402,      +3.34277,      70.43167,       +3.35339,  3064199.43,  2716076.79,  5004940.87,      50.898005,       -0.102469,  101168.96,  171902.09,    4518.03,             6538.61,     4.03,  46422.32,           54258.33,    -49.69,     -5.41,          59.98,  +3.39,  +2.21
  3,     UK000F,       0,  0.159343, 2459461.661562691908,  70.07490,   2.88920,              142.74996,  35.10077,       142.76431,       35.12243,     70.07490,      +2.88920,      70.05656,       +2.90490,  3064847.92,  2714599.75,  5003533.85,      50.893546,       -0.124125,   99765.34,  170650.30,    6658.57,             8679.14,   -61.51,  53167.79,           54258.33,    -72.95,     -7.94,          88.69,  +1.97,  +0.81
  4,     UK000F,       0,  0.199615, 2459461.661563158035,  69.59438,   2.38325,              143.52273,  34.80880,       143.51094,       34.79123,     69.59438,      +2.38325,      69.61070,       +2.37046,  3065608.31,  2712867.85,  5001884.05,      50.888308,       -0.149496,   98120.04,  169206.47,    9168.44,            11189.02,   241.63,  62323.08,           55501.57,     58.90,      6.47,          72.23,  +1.95,  +0.81
  5,     UK000F,       0,  0.239919, 2459461.661563624628,  69.23708,   1.88215,              144.14886,  34.47232,       144.16472,       34.49567,     69.23708,      +1.88215,      69.21745,       +1.89919,  3066268.16,  2711364.94,  5000452.38,      50.883757,       -0.171540,   96692.69,  167973.31,   11346.48,            13367.05,   211.18,  54040.19,           55647.75,    -77.98,     -8.49,          96.32,  +1.80,  +0.67
  6,     UK000F,       0,  0.280103, 2459461.661564089358,  68.88298,   1.52835,              144.70305,  34.26930,       144.69235,       34.25368,     68.88298,      +1.52835,      68.89800,       +1.51692,  3066796.34,  2710161.92,  4999306.40,      50.880110,       -0.189223,   95550.43,  166999.18,   13089.90,            15110.47,  -247.31,  43385.85,           54388.97,     51.99,      5.71,          64.60,  +3.36,  +2.25
  0,     UK002B,       1, -0.049031, 2459461.661560249981,  99.57669,  38.86201,               82.49546,  47.52759,        82.66691,       47.37563,     99.57669,     +38.86201,      99.64460,      +38.67841,  3061193.57,  2722923.09,  5011462.62,      50.918601,       -0.002222,  107680.01,  145298.10,       0.00,             3383.10,  6060.46,     -0.00,           59738.99,    413.04,    253.64,         688.08,  +2.93,  +2.12
  1,     UK002B,       1, -0.009127, 2459461.661560711917,  99.36616,  38.77955,               82.73824,  47.61049,        82.87885,       47.48457,     99.36616,     +38.77955,      99.42330,      +38.62831,  3061897.77,  2721319.17,  5009934.74,      50.913787,       -0.025697,  106153.89,  143009.54,    2324.40,             1058.70,  1549.48,  58249.91,           59738.99,    336.01,    204.95,         567.67,  +2.76,  +1.98
  2,     UK002B,       1,  0.030753, 2459461.661561173387,  99.12668,  38.70955,               82.98678,  47.71898,        83.11407,       47.60421,     99.12668,     +38.70955,      99.17939,      +38.57230,  3062650.41,  2719604.93,  5008301.76,      50.908635,       -0.050782,  104523.29,  140565.69,    4808.70,             1425.60,  -268.87,  62294.36,           59738.99,    300.27,    182.65,         515.73,  +1.74,  +1.00
  3,     UK002B,       1,  0.070617, 2459461.661561634857,  98.88443,  38.67665,               83.19360,  47.85135,        83.34069,       47.71880,     98.88443,     +38.67665,      98.94550,      +38.51828,  3063348.72,  2718014.42,  5006786.65,      50.903847,       -0.074074,  103010.86,  138299.23,    7113.68,             3730.58,  -148.27,  57821.02,           59738.99,    340.56,    208.08,         595.23,  +1.50,  +0.80
  4,     UK002B,       1,  0.110461, 2459461.661562096328,  98.62526,  38.66419,               83.38824,  48.00657,        83.57703,       47.83727,     98.62526,     +38.66419,      98.70306,      +38.46169,  3064050.30,  2716416.46,  5005264.44,      50.899030,       -0.097481,  101491.80,  136023.77,    9429.46,             6046.35,   -15.78,  58121.05,           59309.18,    427.11,    263.29,         760.84,  +1.71,  +1.04
  5,     UK002B,       1,  0.150349, 2459461.661562557798,  98.38106,  38.56070,               83.68258,  48.09826,        83.83109,       47.96335,     98.38106,     +38.56070,      98.44423,      +38.40050,  3064775.77,  2714764.07,  5003690.38,      50.894042,       -0.121686,   99921.49,  133672.84,   11824.10,             8441.00,   193.18,  60034.28,           59289.91,    333.44,    203.85,         603.06,  +1.32,  +0.69
  6,     UK002B,       1,  0.190201, 2459461.661563018803,  98.11901,  38.52665,               83.90672,  48.24257,        84.07950,       48.08574,     98.11901,     +38.52665,      98.19254,      +38.34056,  3065458.15,  2713209.84,  5002209.83,      50.889343,       -0.144468,   98444.89,  131462.81,   14076.50,            10693.40,   261.86,  56519.15,           58986.33,    380.45,    233.78,         700.61,  +1.17,  +0.58
  7,     UK002B,       1,  0.230033, 2459461.661563480273,  97.83670,  38.50744,               84.12786,  48.40851,        84.34282,       48.21418,     97.83670,     +38.50744,      97.92758,      +38.27670,  3066153.93,  2711625.11,  5000700.22,      50.884546,       -0.167701,   96939.76,  129211.36,   16373.11,            12990.01,   375.84,  57657.37,           58749.19,    462.47,    286.59,         868.52,  +1.69,  +1.13
  8,     UK002B,       1,  0.269893, 2459461.661563941278,  97.56379,  38.42871,               84.41531,  48.53315,        84.61911,       48.34758,     97.56379,     +38.42871,      97.65151,      +38.20938,  3066855.28,  2710027.66,  4999178.50,      50.879703,       -0.191124,   95423.01,  126943.86,   18688.14,            15305.04,   506.71,  58078.97,           58593.81,    432.68,    267.53,         826.57,  +3.83,  +3.31
  0,     UK002C,       0,  0.000000, 2459461.661560817622,  90.72687,  17.41570,              110.94511,  37.57444,       110.93974,       37.56076,     90.72687,     +17.41570,      90.73916,      +17.40748,  3062226.66,  2720570.08,  5009221.16,      50.911537,       -0.036623,  105441.29,  170443.75,       0.00,               26.89,    17.57,      0.00,           53644.71,     42.46,     -3.54,          51.57,  +3.99,  +2.83
  1,     UK002C,       0,  0.040096, 2459461.661561281886,  90.48413,  17.05031,              111.45754,  37.42614,       111.46055,       37.43366,     90.48413,     +17.05031,      90.47753,      +17.05483,  3062976.17,  2718862.96,  5007594.96,      50.906402,       -0.061608,  103817.70,  168315.35,    2473.97,             2500.87,   294.46,  61701.20,           53644.71,    -23.10,      1.94,          28.41,  +2.72,  +1.59
  2,     UK002C,       0,  0.080160, 2459461.661561745219,  90.29190,  16.77832,              111.84916,  37.32150,       111.85515,       37.33628,     90.29190,     +16.77832,      90.27894,      +16.78719,  3063532.66,  2717595.45,  5006387.54,      50.902585,       -0.080207,  102612.54,  166739.17,    4310.85,             4337.74,   -64.00,  45848.59,           53644.71,    -45.01,      3.79,          55.88,  +1.72,  +0.61
  3,     UK002C,       0,  0.120224, 2459461.661562209018,  90.03445,  16.45156,              112.34419,  37.21003,       112.34521,       37.21251,     90.03445,     +16.45156,      90.03272,      +16.45305,  3064212.07,  2716047.99,  5004913.44,      50.897919,       -0.102881,  101141.60,  164824.32,    6553.44,             6580.33,   -16.75,  55975.17,           53644.71,     -7.50,      0.63,           9.41,  +1.60,  +0.51
  4,     UK002C,       0,  0.160296, 2459461.661562672816,  89.76263,  16.09403,              112.87530,  37.08088,       112.87336,       37.07623,     89.76263,     +16.09403,      89.76749,      +16.09124,  3064929.68,  2714413.53,  5003356.46,      50.892983,       -0.126827,   99588.42,  162811.63,    8922.11,             8949.00,   156.15,  59110.42,           54710.92,     13.86,     -1.16,          17.62,  +1.57,  +0.51
  5,     UK002C,       0,  0.200360, 2459461.661563136615,  89.52192,  15.78104,              113.34200,  36.96814,       113.33637,       36.95485,     89.52192,     +15.78104,      89.53475,      +15.77304,  3065546.20,  2713009.31,  5002018.81,      50.888737,       -0.147429,   98254.40,  161089.17,   10957.12,            10984.01,    -4.19,  50793.85,           54456.12,     39.33,     -3.27,          50.53,  +1.46,  +0.42
  6,     UK002C,       0,  0.240464, 2459461.661563600879,  89.25239,  15.37120,              113.90747,  36.79267,       113.91086,       36.80053,     89.25239,     +15.37120,      89.24630,      +15.37592,  3066296.63,  2711300.09,  5000390.61,      50.883561,       -0.172476,   96631.11,  159004.69,   13434.14,            13461.03,   275.31,  61764.91,           55148.89,    -22.99,      1.92,          29.93,  +1.40,  +0.39
  7,     UK002C,       0,  0.280524, 2459461.661564064212,  89.02081,  15.07359,              114.35183,  36.68452,       114.35027,       36.68096,     89.02081,     +15.07359,      89.02520,      +15.07145,  3066858.92,  2710019.38,  4999170.61,      50.879677,       -0.191289,   95415.12,  157448.30,   15290.14,            15317.04,   -63.80,  46330.72,           54702.85,     10.33,     -0.86,          13.57,  +3.04,  +2.05

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.