Orbital Analysis for matched events on 20211103_033333.385_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 138.15° Bg 24.45° Vg 67.08km/s
mass 0.01036g, abs. mag 0.0
best visual mag 1.4
Path Details
------------
start 1.76° 50.81° 111.73km
end   1.64° 50.81° 100.71km

Orbit Details
-------------
Semimajor axis 30.14A.U., eccentricity 0.97, inclination 137.69°, Period 165.44Y, LA Sun 220.63°, last Perihelion 2021-10-19

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: 2459521.648303068709
Time: 2021-11-03 03:33:33.385136 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK0045
 Convergence angle = 15.29583 deg
 R.A. = 150.25672  Dec = +37.93630 deg

Best intersection: Stations UK002N and UK0045 with Qconv = 15.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -555750.35 +/- 295.42 m
 Y =   4071462.81 +/- 162.50 m
 Z =   5006788.02 +/- 109.90 m
 Vx =   -46097.56 +/- 1437.72 m/s
 Vy =    26629.84 +/- 1860.88 m/s
 Vz =    42295.93 +/- 3422.55 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.755692e+04, -9.427305e+03, -5.604564e+03, -5.954375e+02, +4.917948e+03, -5.274121e+03
-9.427305e+03, +5.402975e+03, +3.023854e+03, -6.121354e+02, +4.123963e+02, +3.078086e+03
-5.604564e+03, +3.023854e+03, +2.197315e+03, -5.990557e+03, +2.225724e+03, +2.967911e+03
-5.954375e+02, -6.121354e+02, -5.990557e+03, +2.697147e+06, -1.565368e+06, -6.151688e+05
+4.917948e+03, +4.123963e+02, +2.225724e+03, -1.565368e+06, +9.348684e+05, +3.563936e+05
-5.274121e+03, +3.078086e+03, +2.967911e+03, -6.151688e+05, +3.563936e+05, +1.435667e+05

Timing offsets (from input data):
    UK002N: -0.001133 s
    UK0045: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:33:33.385136 UTC
  Lon     = ++1.764869 +/- 0.0038 deg
  Lat     = +50.808625 +/- 0.0008 deg
  Lat geo = +50.623272 +/- 0.0008 deg
  Ht      =  111780.91 +/- 210.85 m

  JD dynamic   = 2459521.649103809614 
  LST apparent = 97.7727765369 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 149.98565 +/- 0.1595 deg
  Dec       = +38.46680 +/- 1.3795 deg
  Azimuth   =  88.03178 +/- 1.7980 deg
  Elevation = +51.74666 +/- 0.8261 deg
  Vavg      =  67.01369 +/- 3.6776 km/s
  Vinit     =  67.99323 +/- 3.4503 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 150.18238 +/- 0.1595 deg
  Dec       = +38.34283 +/- 1.3795 deg
  Azimuth   =  88.04569 +/- 1.7980 deg
  Elevation = +51.54902 +/- 0.8261 deg
  Vavg      =  67.19951 +/- 3.6776 km/s
  Vinit     =  68.17905 +/- 3.4503 km/s
Radiant (geocentric, J2000):
  R.A.   = 149.93451 +/- 0.1591 deg
  Dec    = +38.41451 +/- 1.3725 deg
  Vg     =  67.08206 +/- 3.4970 km/s
  Vinf   =  67.99323 +/- 3.4503 km/s
  Zc     =  38.26009 +/- 0.8204 deg
  Zg     =  38.52821 +/- 0.7993 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 138.15339 +/- 0.5807 deg
  Bg     = +24.45297 +/- 1.2734 deg
  Vh     =  41.93968 +/- 2.9386 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 144.54212 +/- 0.4031 deg
  Bh     = +41.46064 +/- 3.3871 deg
  Vh_x   =  25.60110 +/- 3.2337 km/s
  Vh_y   = -18.23270 +/- 2.0832 km/s
  Vh_z   = -27.76849 +/- 0.1510 km/s
Orbit:
  La Sun = 220.634839 +/- 0.0000 deg
  a      =  30.136786 +/- 8.0470 AU
  e      =   0.968165 +/- 0.2696
  i      = 137.692434 +/- 3.3571 deg
  peri   = 158.903929 +/- 1.5018 deg
  node   = 220.637667 +/- 0.0001 deg
  Pi     =  19.541596 +/- 1.5019 deg
  q      =   0.959393 +/- 0.0011 AU
  f      =  21.097444 +/- 1.5017 deg
  M      =   0.087362 +/- nan deg
  Q      =  59.314179 +/- 16.0938 AU
  n      =   0.005957 +/- 0.1026 deg/day
  T      = 165.442103 +/- nan years
  Last perihelion JD = 2459506.984734 (2021-10-19 11:38:01.021316) +/- 1.2834 days
  Tj     =  -0.718239 +/- 1.5707
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.379963e-02, -3.366392e-05, +1.461108e-01, +7.349919e-06, +1.086869e-01, +2.322770e-01
q   , -3.366392e-05, +1.203850e-06, -9.972000e-05, -1.405511e-08, +1.130614e-04, -4.587265e-04
Tp  , +1.461108e-01, -9.972000e-05, +1.636790e+00, +7.895368e-05, +1.264999e+00, +2.504638e+00
node, +7.349919e-06, -1.405511e-08, +7.895368e-05, +3.954128e-09, +5.941378e-05, +1.250329e-04
peri, +1.086869e-01, +1.130614e-04, +1.264999e+00, +5.941378e-05, +1.008222e+00, +1.884160e+00
i   , +2.322770e-01, -4.587265e-04, +2.504638e+00, +1.250329e-04, +1.884160e+00, +3.959174e+00

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: UK0045
  Avg. res. = 3.036e-06 s
  Stddev    = 1.74e-03 s

Begin point on the trajectory:
  Lon =     1.764262 +/- 0.0038 deg
  Lat =    50.808612 +/- 0.0008 deg
  Ht  = 111725.70 +/- 213.71 m
End point on the trajectory:
  Lon =     1.642063 +/- 0.0061 deg
  Lat =    50.805906 +/- 0.0016 deg
  Ht  = 100707.38 +/- 306.33 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   111222.73,   100707.38,          0.013236,     47.22,      5.14,              23.68, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20211103_033329_266_0934656.fits"}
    UK0045,   False,    -0.162580,    51.236418,  112.00,   0.000000,   0.000000,   111725.70,   101071.69,          0.008110,     23.20,      8.92,              20.18, 1.0000,    True,    True, {"ff_name": "FF_UK0045_20211103_033323_683_0939264.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,     UK002N,       0,  0.008416, 2459521.648303178605, 154.60743,  14.69610,              105.20758,  30.44153,       105.20362,       30.43958,    154.60743,     +14.69610,     154.61149,      +14.69670,  -555268.44,  4071184.42,  5006345.85,      50.808491,       +1.758696,  111222.73,  214238.79,       0.00,              710.81,   269.30,      0.00,           66119.08,      1.58,    -14.63,          14.17,  +3.06,  +1.41
  1,     UK002N,       0,  0.048652, 2459521.648303644732, 154.65464,  14.43025,              105.35827,  30.20522,       105.36009,       30.20612,    154.65464,     +14.43025,     154.65300,      +14.42997,  -553606.82,  4070224.53,  5004821.27,      50.808027,       +1.737373,  109298.38,  211994.45,    2450.86,             3161.68,   -15.62,  60912.15,           66119.08,     -0.72,      6.66,           6.52,  +1.83,  +0.20
  2,     UK002N,       0,  0.088916, 2459521.648304110393, 154.69183,  14.12442,              105.54562,  29.94341,       105.53752,       29.93942,    154.69183,     +14.12442,     154.70043,      +14.12566,  -551753.57,  4069153.94,  5003120.85,      50.807505,       +1.713596,  107152.50,  209498.08,    5184.37,             5895.19,   -19.78,  67889.72,           66119.08,      3.18,    -29.36,          29.07,  +1.35,  -0.26
  3,     UK002N,       0,  0.129192, 2459521.648304576520, 154.73220,  13.80638,              105.73781,  29.66978,       105.72114,       29.66158,    154.73220,     +13.80638,     154.74968,      +13.80893,  -549870.57,  4068066.16,  5001393.14,      50.806970,       +1.689424,  104972.61,  206968.11,    7961.78,             8672.59,    19.12,  68959.27,           66119.08,      6.49,    -59.78,          59.93,  +1.87,  +0.29
  4,     UK002N,       0,  0.169472, 2459521.648305043112, 154.77187,  13.48495,              105.93189,  29.39357,       105.90564,       29.38065,    154.77187,     +13.48495,     154.79928,      +13.48896,  -548013.81,  4066993.54,  4999689.51,      50.806437,       +1.665572,  102823.53,  204479.74,   10700.46,            11411.28,    19.04,  67991.20,           66836.79,     10.16,    -93.19,          94.56,  +1.99,  +0.44
  5,     UK002N,       0,  0.209756, 2459521.648305509239, 154.84863,  13.16618,              106.09042,  29.09682,       106.09077,       29.09699,    154.84863,     +13.16618,     154.84916,      +13.16612,  -546185.15,  4065937.15,  4998011.65,      50.805906,       +1.642063,  100707.38,  202035.40,   13397.72,            14108.53,   -22.74,  66956.06,           67058.82,     -0.13,      1.22,           1.25,  +3.31,  +1.78
  0,     UK0045,       0,  0.000000, 2459521.648303068709, 148.55764,  18.04224,              108.64412,  37.02436,       108.64385,       37.02417,    148.55764,     +18.04224,     148.55794,      +18.04222,  -555702.69,  4071435.28,  5006744.29,      50.808612,       +1.764262,  111725.70,  182640.23,       0.00,               70.30,   201.00,      0.00,           66140.95,      0.33,     -0.87,           1.05,  +2.86,  +1.55
  1,     UK0045,       0,  0.040204, 2459521.648303533904, 148.54230,  17.75885,              108.87923,  36.81179,       108.88240,       36.81405,    148.54230,     +17.75885,     148.53890,      +17.75904,  -553966.87,  4070432.53,  5005151.63,      50.808128,       +1.741998,  109715.34,  180234.81,    2560.30,             2630.60,    27.71,  63682.82,           66140.95,     -3.84,      9.99,          12.24,  +1.90,  +0.62
  2,     UK0045,       0,  0.080444, 2459521.648303999566, 148.53181,  17.43476,              109.13999,  36.56398,       109.15305,       36.57325,    148.53181,     +17.43476,     148.51749,      +17.43554,  -552039.52,  4069319.13,  5003383.22,      50.807586,       +1.717279,  107483.58,  177570.26,    5403.12,             5473.42,   134.48,  70646.57,           66140.95,    -15.56,     40.51,          50.41,  +1.55,  +0.30
  3,     UK0045,       0,  0.120652, 2459521.648304465227, 148.50826,  17.14049,              109.38842,  36.34678,       109.39822,       36.35373,    148.50826,     +17.14049,     148.49778,      +17.14107,  -550333.44,  4068333.55,  5001817.84,      50.807102,       +1.695366,  105508.41,  175215.45,    7919.57,             7989.87,   -82.94,  62585.74,           66140.95,    -11.54,     30.02,          37.86,  +1.69,  +0.47
  4,     UK0045,       0,  0.160880, 2459521.648304930888, 148.47818,  16.81842,              109.66282,  36.11107,       109.66500,       36.11261,    148.47818,     +16.81842,     148.47642,      +16.81855,  -548516.27,  4067283.80,  5000150.53,      50.806581,       +1.672023,  103405.05,  172713.16,   10599.86,            10670.16,  -137.89,  66627.47,           66033.08,     -2.53,      6.56,           8.40,  +1.70,  +0.51
  5,     UK0045,       0,  0.201140, 2459521.648305396549, 148.44276,  16.44996,              109.97581,  35.84133,       109.96798,       35.83580,    148.44276,     +16.44996,     148.45236,      +16.44949,  -546499.98,  4066119.02,  4998300.53,      50.805998,       +1.646123,  101071.69,  169944.27,   13573.85,            13644.15,    98.70,  73869.73,           67122.93,      8.98,    -23.29,          30.30,  +2.66,  +1.51

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.