Orbital Analysis for matched events on 20211015_212153.704_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 102.29° Bg 26.21° Vg 61.21km/s
mass 0.02023g, abs. mag -0.0
best visual mag 0.9
Path Details
------------
start 1.35° 52.58° 100.14km
end   1.21° 52.46° 93.15km

Orbit Details
-------------
Semimajor axis 2.47A.U., eccentricity 0.63, inclination 131.82°, Period 3.87Y, LA Sun 202.44°, last Perihelion 2017-12-31

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: 2459503.390204918571
Time: 2021-10-15 21:21:53.758716 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 7.55659 deg
 R.A. = 106.80036  Dec = +49.15671 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 7.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3834693.09 +/- 461.07 m
 Y =   -922744.62 +/- 280.27 m
 Z =   5123888.62 +/- 212.54 m
 Vx =   -11690.60 +/- 2619.49 m/s
 Vy =    38765.72 +/- 1377.88 m/s
 Vz =    47225.69 +/- 1003.31 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.933291e+05, +1.175768e+05, +8.882207e+04, +9.627000e+05, +5.056874e+05, +3.557891e+05
+1.175768e+05, +7.189293e+04, +5.420106e+04, +5.743597e+05, +3.042554e+05, +2.138777e+05
+8.882207e+04, +5.420106e+04, +4.127658e+04, +4.332328e+05, +2.298833e+05, +1.636536e+05
+9.627000e+05, +5.743597e+05, +4.332328e+05, +6.263415e+06, +2.982508e+06, +1.988188e+06
+5.056874e+05, +3.042554e+05, +2.298833e+05, +2.982508e+06, +1.631316e+06, +1.179105e+06
+3.557891e+05, +2.138777e+05, +1.636536e+05, +1.988188e+06, +1.179105e+06, +9.004037e+05

Timing offsets (from input data):
    UK002K: 0.000880 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 21:21:53.758716 UTC
  Lon     = ++1.373212 +/- 0.0055 deg
  Lat     = +52.595404 +/- 0.0016 deg
  Lat geo = +52.412456 +/- 0.0016 deg
  Ht      =  101379.65 +/- 400.90 m

  JD dynamic   = 2459503.391006281599 
  LST apparent = 346.4701070182 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 106.78176 +/- 4.1045 deg
  Dec       = +49.39103 +/- 0.2160 deg
  Azimuth   =  37.88853 +/- 2.2842 deg
  Elevation = +23.79777 +/- 1.6935 deg
  Vavg      =  60.54935 +/- 0.7057 km/s
  Vinit     =  62.20704 +/- 1.1196 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 106.57761 +/- 4.1045 deg
  Dec       = +49.21769 +/- 0.2160 deg
  Azimuth   =  38.11632 +/- 2.2842 deg
  Elevation = +23.73212 +/- 1.6935 deg
  Vavg      =  60.71141 +/- 0.7057 km/s
  Vinit     =  62.36911 +/- 1.1196 km/s
Radiant (geocentric, J2000):
  R.A.   = 106.89980 +/- 4.1105 deg
  Dec    = +48.92936 +/- 0.2481 deg
  Vg     =  61.20809 +/- 1.1375 km/s
  Vinf   =  62.20704 +/- 1.1196 km/s
  Zc     =  66.34667 +/- 1.6980 deg
  Zg     =  66.95300 +/- 1.7353 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 102.29081 +/- 3.0217 deg
  Bg     = +26.21017 +/- 0.1478 deg
  Vh     =  37.67913 +/- 1.4151 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.62148 +/- 5.6487 deg
  Bh     = +45.84808 +/- 1.3316 deg
  Vh_x   =  -0.17339 +/- 2.6859 km/s
  Vh_y   = -26.24533 +/- 1.6090 km/s
  Vh_z   = -27.03460 +/- 0.4184 km/s
Orbit:
  La Sun = 202.443959 +/- -0.0000 deg
  a      =   2.465238 +/- 1.6417 AU
  e      =   0.633888 +/- 0.1216
  i      = 131.823043 +/- 0.3650 deg
  peri   = 220.903807 +/- 6.7718 deg
  node   = 202.443047 +/- 0.0000 deg
  Pi     =  63.346854 +/- 6.7718 deg
  q      =   0.902554 +/- 0.0371 AU
  f      = 319.095036 +/- 6.7718 deg
  M      = 352.412441 +/- 2.4327 deg
  Q      =   4.027922 +/- 3.3171 AU
  n      =   0.254634 +/- 0.1036 deg/day
  T      =   3.870695 +/- 5.1754 years
  Last perihelion JD = 2458119.393058 (2017-12-31 21:26:00.171944) +/- 1888.2485 days
  Tj     =   1.401132 +/- 0.6557
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.370720e-02, -3.485698e-03, -1.763612e+02, -8.180014e-07, +5.732465e-01, +2.968856e-02
q   , -3.485698e-03, +1.169454e-03, +5.103396e+01, +8.578904e-08, -2.105091e-01, -3.113726e-03
Tp  , -1.763612e+02, +5.103396e+01, +2.934723e+06, +7.879526e-03, -8.115481e+03, -2.862243e+02
node, -8.180014e-07, +8.578904e-08, +7.879526e-03, +1.124857e-10, -6.272425e-06, -4.083028e-06
peri, +5.732465e-01, -2.105091e-01, -8.115481e+03, -6.272425e-06, +3.983654e+01, +2.273513e-01
i   , +2.968856e-02, -3.113726e-03, -2.862243e+02, -4.083028e-06, +2.273513e-01, +1.482151e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 12.500423
 a2 = 7.397794

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 3.178e-06 s
  Stddev    = 1.78e-03 s

Begin point on the trajectory:
  Lon =     1.348216 +/- 0.0038 deg
  Lat =    52.575832 +/- 0.0017 deg
  Ht  = 100144.27 +/- 282.83 m
End point on the trajectory:
  Lon =     1.205424 +/- 0.0051 deg
  Lat =    52.464466 +/- 0.0022 deg
  Ht  = 93152.47 +/- 394.00 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,   0.000043,  59.003344,   100144.27,    94439.01,          0.017848,     38.32,     43.76,              80.27, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211015_212149_049_0332288.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  33.333333,   0.000000,   100141.56,    93152.47,          0.007095,     13.24,     11.64,              64.34, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211015_212151_413_0334848.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,       0,  0.038955, 2459503.390205540694,  24.19975,   4.63447,              131.99881,  31.47642,       131.99286,       31.46446,     24.19975,      +4.63447,      24.20963,       +4.62599,  3835268.72,  -924653.38,  5121563.30,      52.575832,       +1.348216,  100144.27,  187991.75,       0.00,             3062.98,   165.18,      0.00,           61525.64,     32.08,     28.10,          46.80,  +2.80,  +1.43
  1,     UK002K,       0,  0.079115, 2459503.390206005424,  23.79015,   4.12562,              132.69052,  31.19952,       132.69582,       31.21002,     23.79015,      +4.12562,      23.78162,       +4.13307,  3835673.39,  -925995.25,  5119928.59,      52.562066,       +1.330483,   99276.50,  187684.39,    2153.29,             5216.26,  -179.77,  53617.69,           61525.64,    -28.20,    -24.68,          41.18,  +1.28,  -0.09
  2,     UK002K,       0,  0.119287, 2459503.390206470620,  23.25536,   3.51477,              133.56130,  30.88137,       133.56460,       30.88778,     23.25536,      +3.51477,      23.25037,       +3.51934,  3836175.20,  -927659.26,  5117901.44,      52.544986,       +1.308543,   98201.23,  187338.78,    4823.51,             7886.49,    -8.52,  66469.80,           61525.64,    -17.26,    -15.11,          25.25,  +1.22,  -0.14
  3,     UK002K,       0,  0.159447, 2459503.390206935350,  22.74793,   2.93588,              134.38235,  30.57531,       134.38320,       30.57694,     22.74793,      +2.93588,      22.74708,       +2.93705,  3836649.47,  -929231.91,  5115985.58,      52.528835,       +1.287807,   97185.82,  187046.38,    7347.13,            10410.11,    16.86,  62839.07,           61525.64,     -4.38,     -3.84,           6.43,  +1.23,  -0.13
  4,     UK002K,       0,  0.199615, 2459503.390207400080,  22.25722,   2.35268,              135.18317,  30.25364,       135.18872,       30.26411,     22.25722,      +2.35268,      22.24914,       +2.36017,  3837117.77,  -930784.79,  5114093.82,      52.512878,       +1.267338,   96183.97,  186790.73,    9839.02,            12902.00,    10.02,  62036.69,           61924.00,    -28.23,    -24.71,          41.43,  +1.09,  -0.27
  5,     UK002K,       0,  0.239787, 2459503.390207865275,  21.78563,   1.77735,              135.95522,  29.92673,       135.96996,       29.95411,     21.78563,      +1.77735,      21.76351,       +1.79700,  3837573.65,  -932296.47,  5112252.24,      52.497337,       +1.247415,   95209.46,  186573.47,   12264.80,            15327.78,   -63.18,  60384.89,           61817.91,    -74.04,    -64.77,         108.76,  +1.32,  -0.03
  6,     UK002K,       0,  0.279863, 2459503.390208329074,  21.35529,   1.36928,              136.60058,  29.73147,       136.58638,       29.70539,     21.35529,      +1.36928,      21.37822,       +1.35052,  3837934.30,  -933492.39,  5110795.32,      52.485036,       +1.231625,   94439.01,  186422.50,   14183.89,            17246.86,  -637.11,  47886.18,           60290.92,     70.60,     61.89,         103.88,  +4.10,  +2.75
  0,     UK0032,       1,  0.000000, 2459503.390204918571,  30.47745,  21.90831,              114.09724,  43.63733,       114.10165,       43.65678,     30.47745,     +21.90831,      30.46203,      +21.92209,  3834696.12,  -922754.66,  5123876.38,      52.595301,       +1.373305,  101373.15,  145596.71,       0.00,               16.11,  -458.38,      0.00,           64136.43,    -33.09,    -37.60,          70.96,  +4.59,  +3.77
  1,     UK0032,       0,  0.039884, 2459503.390205380041,  29.63840,  21.13549,              115.59521,  43.47018,       115.59576,       43.47235,     29.63840,     +21.13549,      29.63664,      +21.13703,  3835269.98,  -924657.56,  5121558.20,      52.575790,       +1.348219,  100141.56,  144314.26,    3053.58,             3069.69,   114.13,  76561.49,           64136.43,     -3.68,     -4.18,           7.96,  +1.66,  +0.86
  2,     UK0032,       0,  0.079816, 2459503.390205842443,  28.99750,  20.49875,              116.77425,  43.29681,       116.77848,       43.31240,     28.99750,     +20.49875,      28.98537,      +20.50976,  3835719.56,  -926148.36,  5119742.07,      52.560495,       +1.328538,   99177.53,  143345.57,    5445.84,             5461.96,    22.35,  59908.48,           64136.43,    -26.26,    -29.85,          57.21,  +0.92,  +0.14
  3,     UK0032,       0,  0.119724, 2459503.390206304379,  28.35888,  19.89920,              117.91895,  43.14561,       117.91903,       43.14589,     28.35888,     +19.89920,      28.35894,      +19.89939,  3836149.77,  -927574.93,  5118004.17,      52.545852,       +1.309706,   98255.69,  142449.94,    7735.06,             7751.17,  -171.00,  57362.27,           64136.43,     -0.47,     -0.53,           1.03,  +0.91,  +0.14
  4,     UK0032,       0,  0.159628, 2459503.390206766315,  27.64423,  19.20270,              119.21650,  42.94694,       119.21476,       42.94136,     27.64423,     +19.20270,      27.64908,      +19.19877,  3836635.22,  -929184.67,  5116043.13,      52.529320,       +1.288485,   97216.31,  141478.14,   10318.19,            10334.31,   -70.17,  64733.78,           63437.64,      9.33,     10.62,          20.61,  +1.05,  +0.30
  5,     UK0032,       0,  0.199552, 2459503.390207228251,  26.93148,  18.46949,              120.53515,  42.70741,       120.53795,       42.71584,     26.93148,     +18.46949,      26.92542,      +18.47543,  3837127.74,  -930817.83,  5114053.55,      52.512538,       +1.266968,   96162.66,  140534.20,   12938.92,            12955.03,    67.00,  65642.78,           63553.10,    -14.06,    -15.99,          31.25,  +0.92,  +0.18
  6,     UK0032,       0,  0.239464, 2459503.390207690187,  26.26507,  17.80082,              121.75057,  42.48894,       121.75242,       42.49420,     26.26507,     +17.80082,      26.26167,      +17.80452,  3837577.26,  -932308.45,  5112237.64,      52.497213,       +1.247322,   95201.74,  139709.57,   15330.89,            15347.00,   -23.83,  59931.25,           63206.27,     -8.75,     -9.96,          19.58,  +1.12,  +0.39
  7,     UK0032,       0,  0.279372, 2459503.390208152123,  25.57346,  17.10586,              123.00755,  42.25254,       123.00661,       42.25000,     25.57346,     +17.10586,      25.57643,      +17.10407,  3838039.55,  -933841.39,  5110370.16,      52.481445,       +1.227131,   94214.29,  138899.80,   17790.79,            17806.90,   -46.49,  61639.26,           62931.20,      4.22,      4.80,           9.49,  +1.90,  +1.19
  8,     UK0032,       0,  0.319280, 2459503.390208614059,  24.83469,  16.33912,              124.36104,  41.96915,       124.36077,       41.96845,     24.83469,     +16.33912,      24.83635,      +16.33863,  3838537.07,  -935491.14,  5108360.38,      52.464466,       +1.205424,   93152.47,  138072.76,   20438.13,            20454.24,   118.29,  66336.08,           63029.80,      1.15,      1.31,           2.60,  +3.97,  +3.27

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.