Orbital Analysis for matched events on 20211015_200533.227_UK

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Summary for Event
-----------------
shower ID 333 OCU
Lg 121.48° Bg 46.22° Vg 56.06km/s
mass 0.01995g, abs. mag 0.1
best visual mag 1.1
Path Details
------------
start -1.80° 53.74° 108.56km
end   -1.80° 53.54° 96.68km

Orbit Details
-------------
Semimajor axis 22.92A.U., eccentricity 0.96, inclination 101.78°, Period 109.71Y, LA Sun 202.39°, last Perihelion 2021-10-04

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: 2459503.337190129794
Time: 2021-10-15 20:05:33.278632 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003B
 Convergence angle = 18.93360 deg
 R.A. = 143.11289  Dec = +63.93010 deg

Best intersection: Stations UK002Z and UK003B with Qconv = 18.93 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3115797.92 +/- 41.84 m
 Y =  -2250804.51 +/- 151.07 m
 Z =   5209217.79 +/- 159.54 m
 Vx =   -20344.00 +/- 504.43 m/s
 Vy =    14082.34 +/- 941.55 m/s
 Vz =    51510.55 +/- 1568.59 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.485758e+03, +3.404550e+03, -3.722457e+03, +8.915458e+03, +6.505745e+03, -2.219991e+04
+3.404550e+03, +1.299603e+04, -1.144327e+04, +2.563806e+04, +1.874344e+04, -6.916905e+04
-3.722457e+03, -1.144327e+04, +1.236852e+04, -2.271277e+04, -1.671312e+04, +6.260272e+04
+8.915458e+03, +2.563806e+04, -2.271277e+04, +1.023735e+05, +4.511282e+04, -2.619472e+05
+6.505745e+03, +1.874344e+04, -1.671312e+04, +4.511282e+04, +4.928587e+04, -1.200708e+05
-2.219991e+04, -6.916905e+04, +6.260272e+04, -2.619472e+05, -1.200708e+05, +6.934379e+05

Timing offsets (from input data):
    UK002Z: 0.000000 s
    UK003B: -0.004560 s

Reference point on the trajectory:
  Time: 2021-10-15 20:05:33.278632 UTC
  Lon     = +-1.803076 +/- 0.0022 deg
  Lat     = +53.757991 +/- 0.0005 deg
  Lat geo = +53.577412 +/- 0.0005 deg
  Ht      =  109496.61 +/- 161.60 m

  JD dynamic   = 2459503.337991465814 
  LST apparent = 324.1562322049 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 145.30860 +/- 1.0510 deg
  Dec       = +64.34324 +/- 0.3597 deg
  Azimuth   = 359.43438 +/- 0.5144 deg
  Elevation = +28.10460 +/- 0.3635 deg
  Vavg      =  56.35378 +/- 1.0986 km/s
  Vinit     =  57.14479 +/- 1.5676 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 144.65955 +/- 1.0510 deg
  Dec       = +64.34690 +/- 0.3597 deg
  Azimuth   = 359.75298 +/- 0.5144 deg
  Elevation = +28.10554 +/- 0.3635 deg
  Vavg      =  56.35203 +/- 1.0986 km/s
  Vinit     =  57.14304 +/- 1.5676 km/s
Radiant (geocentric, J2000):
  R.A.   = 144.86853 +/- 1.0342 deg
  Dec    = +63.78015 +/- 0.4011 deg
  Vg     =  56.05701 +/- 1.5978 km/s
  Vinf   =  57.14479 +/- 1.5676 km/s
  Zc     =  62.07597 +/- 0.3635 deg
  Zg     =  62.73859 +/- 0.4036 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 121.48044 +/- 0.3238 deg
  Bg     = +46.21667 +/- 0.5655 deg
  Vh     =  41.72348 +/- 1.6589 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 146.09237 +/- 0.9500 deg
  Bh     = +75.93206 +/- 0.4912 deg
  Vh_x   =   8.41708 +/- 0.5451 km/s
  Vh_y   =  -5.65767 +/- 0.5333 km/s
  Vh_z   = -40.47212 +/- 1.5253 km/s
Orbit:
  La Sun = 202.391411 +/- -0.0000 deg
  a      =  22.917867 +/- 7.4594 AU
  e      =   0.957305 +/- 0.1536
  i      = 101.775993 +/- 0.5222 deg
  peri   = 164.150633 +/- 1.0564 deg
  node   = 202.390731 +/- 0.0000 deg
  Pi     =   6.541364 +/- 1.0564 deg
  q      =   0.978485 +/- 0.0010 AU
  f      =  15.848248 +/- 1.0564 deg
  M      =   0.101199 +/- nan deg
  Q      =  44.857249 +/- 14.9191 AU
  n      =   0.008983 +/- 0.0489 deg/day
  T      = 109.713970 +/- nan years
  Last perihelion JD = 2459492.072940 (2021-10-04 13:45:02.011040) +/- 0.7416 days
  Tj     =  -0.020527 +/- 0.8361
Shower association:
  IAU No.  =  333
  IAU code =  OCU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.500590e-03, +2.778801e-05, +5.665323e-02, -3.071269e-07, +4.805527e-02, +1.554133e-02
q   , +2.778801e-05, +3.820588e-07, +3.433279e-04, -2.798893e-09, +3.380491e-04, +1.404496e-04
Tp  , +5.665323e-02, +3.433279e-04, +5.347306e-01, -3.282831e-06, +4.715375e-01, +1.656787e-01
node, -3.071269e-07, -2.798893e-09, -3.282831e-06, +3.618273e-11, -3.048487e-06, -1.817910e-06
peri, +4.805527e-02, +3.380491e-04, +4.715375e-01, -3.048487e-06, +4.235385e-01, +1.536772e-01
i   , +1.554133e-02, +1.404496e-04, +1.656787e-01, -1.817910e-06, +1.536772e-01, +9.134189e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 5.113842
 a2 = 6.926358

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 4.645e-05 s
  Stddev    = 6.82e-03 s

Begin point on the trajectory:
  Lon =    -1.802817 +/- 0.0020 deg
  Lat =    53.742413 +/- 0.0026 deg
  Ht  = 108555.06 +/- 274.55 m
End point on the trajectory:
  Lon =    -1.801380 +/- 0.0015 deg
  Lat =    53.544892 +/- 0.0027 deg
  Ht  = 96681.06 +/- 249.30 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
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.000055,  34.500041,   108405.12,    97987.87,          0.015895,     28.78,     26.57,              60.42, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20211015_200524_330_0217856.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,  46.169947,   0.000003,   108555.06,    96681.06,          0.015341,     25.03,     44.49,              15.38, 1.0000,    True,    True, {"ff_name": "FF_UK003B_20211015_200531_549_0213248.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,     UK002Z,       1,  0.000000, 2459503.337190129794, 260.31424,  44.48042,              285.21740,  47.81237,       285.22893,       47.76630,    260.31424,     +44.48042,     260.25590,      +44.45923,  3115776.44, -2250789.65,  5209272.18,      53.758461,       -1.802869,  109525.03,  146871.88,       0.00,               60.34,   580.39,      0.00,           53174.31,     81.16,    -88.06,         168.18,  +5.34,  +4.51
  1,     UK002Z,       0,  0.040260, 2459503.337190595921, 260.77629,  43.73948,              284.03998,  47.63435,       284.04324,       47.62241,    260.77629,     +43.73948,     260.76144,      +43.73405,  3116623.02, -2251375.66,  5207128.65,      53.739931,       -1.802729,  108405.12,  145702.34,    2377.98,             2317.64,   537.05,  59065.60,           53174.31,     20.93,    -22.68,          43.69,  +4.40,  +3.58
  2,     UK002Z,       0,  0.080432, 2459503.337191060651, 261.18543,  43.16874,              283.10002,  47.52510,       283.10763,       47.49899,    261.18543,     +43.16874,     261.15307,      +43.15692,  3117284.83, -2251833.78,  5205452.95,      53.725440,       -1.802655,  107530.08,  144810.23,    4236.98,             4176.64,   100.43,  46275.99,           53174.31,     45.60,    -49.43,          95.80,  +1.68,  +0.88
  3,     UK002Z,       0,  0.120680, 2459503.337191526778, 261.63163,  42.44187,              281.95412,  47.33901,       281.95497,       47.33628,    261.63163,     +42.44187,     261.62874,      +42.44065,  3118093.80, -2252393.75,  5203404.65,      53.707722,       -1.802529,  106461.03,  143743.29,    6509.32,             6448.98,    72.80,  56458.40,           53174.31,      4.74,     -5.13,          10.02,  +1.11,  +0.32
  4,     UK002Z,       0,  0.160908, 2459503.337191991974, 262.11748,  41.71118,              280.77992,  47.16938,       280.78372,       47.15804,    262.11748,     +41.71118,     262.10410,      +41.70614,  3118909.08, -2252958.09,  5201340.40,      53.689861,       -1.802400,  105384.26,  142696.49,    8799.35,             8739.02,    64.02,  56926.39,           54023.65,     19.66,    -21.29,          41.89,  +1.06,  +0.29
  5,     UK002Z,       0,  0.201140, 2459503.337192457635, 262.57897,  40.98245,              279.62731,  46.98247,       279.63185,       46.96976,    262.57897,     +40.98245,     262.56417,      +40.97684,  3119704.93, -2253508.99,  5199325.31,      53.672418,       -1.802279,  104333.73,  141703.04,   11034.86,            10974.53,     0.48,  55565.44,           54486.59,     21.94,    -23.76,          47.08,  +1.05,  +0.29
  6,     UK002Z,       0,  0.241368, 2459503.337192923296, 262.99381,  40.28792,              278.54946,  46.78555,       278.55113,       46.78111,    262.99381,     +40.28792,     262.98939,      +40.28597,  3120446.89, -2254022.58,  5197446.70,      53.656153,       -1.802177,  103354.87,  140803.03,   13118.96,            13058.62,  -214.25,  51807.10,           54364.79,      7.64,     -8.27,          16.49,  +1.49,  +0.75
  7,     UK002Z,       0,  0.281604, 2459503.337193388958, 263.49211,  39.50566,              277.31726,  46.57710,       277.32659,       46.55376,    263.49211,     +39.50566,     263.46481,      +39.49550,  3121282.90, -2254601.28,  5195329.94,      53.637819,       -1.802041,  102252.54,  139818.25,   15467.24,            15406.90,  -165.24,  58362.74,           54647.29,     40.07,    -43.41,          87.15,  +1.78,  +1.05
  8,     UK002Z,       0,  0.321828, 2459503.337193854619, 263.91523,  38.79105,              276.21858,  46.36319,       276.22961,       46.33692,    263.91523,     +38.79105,     263.88466,      +38.77969,  3122028.10, -2255117.11,  5193443.11,      53.621471,       -1.801939,  101270.49,  138968.82,   17560.45,            17500.12,  -370.62,  52038.91,           54605.24,     44.99,    -48.74,          98.45,  +3.29,  +2.58
  9,     UK002Z,       0,  0.362156, 2459503.337194321211, 264.44590,  37.80806,              274.75270,  46.03120,       274.75456,       46.02703,    264.44590,     +37.80806,     264.44237,      +37.80627,  3123025.80, -2255807.73,  5190916.95,      53.599576,       -1.801745,   99956.52,  137870.57,   20362.93,            20302.60,   127.32,  69492.10,           55398.04,      7.13,     -7.71,          15.71,  +2.55,  +1.85
 10,     UK002Z,       0,  0.402412, 2459503.337194787338, 264.86333,  37.03094,              273.60228,  45.76135,       273.59929,       45.76775,    264.86333,     +37.03094,     264.87272,      +37.03367,  3123804.37, -2256346.67,  5188945.63,      53.582484,       -1.801631,   98931.77,  137048.91,   22549.87,            22489.54,    13.84,  54325.86,           55781.51,    -10.92,     11.82,          24.22,  +2.18,  +1.50
 11,     UK002Z,       0,  0.442648, 2459503.337195253000, 265.24826,  36.30645,              272.53868,  45.50237,       272.53233,       45.51543,    265.24826,     +36.30645,     265.26578,      +36.31200,  3124521.88, -2256843.34,  5187128.91,      53.566728,       -1.801539,   97987.87,  136318.95,   24565.31,            24504.97,  -270.00,  50090.27,           55783.75,    -22.29,     24.10,          49.66,  +3.37,  +2.70
 12,     UK002Z,       1,  0.482816, 2459503.337195717730, 265.59658,  35.72688,              271.66008,  45.31578,       271.66739,       45.30121,    265.59658,     +35.72688,     265.58115,      +35.72072,  3125102.80, -2257245.46,  5185658.03,      53.553968,       -1.801496,   97223.96,  135748.45,   26197.07,            26136.73,  -933.63,  40623.53,           55286.24,     24.85,    -26.89,          55.63,  +5.34,  +4.68
  0,     UK003B,       0,  0.048673, 2459503.337190724909, 181.29735,  65.99882,              343.55331,  31.48664,       343.55719,       31.49913,    181.29735,     +65.99882,     181.30329,      +66.01152,  3116509.63, -2251297.17,  5207415.73,      53.742413,       -1.802817,  108555.06,  203098.89,       0.00,             1999.17,  -262.21,      0.00,           57408.17,    -39.91,     22.43,          46.49,  +4.10,  +2.56
  1,     UK003B,       0,  0.088601, 2459503.337191186845, 181.77029,  65.99045,              343.34515,  31.56151,       343.34054,       31.54667,    181.77029,     +65.99045,     181.76367,      +65.97536,  3117415.11, -2251923.95,  5205123.09,      53.722587,       -1.802654,  107357.87,  200645.87,    2543.42,             4542.58,    -0.48,  63700.05,           57408.17,     46.82,    -26.41,          55.26,  +2.37,  +0.86
  2,     UK003B,       0,  0.128577, 2459503.337191649713, 182.16473,  65.93397,              343.14646,  31.58017,       343.14892,       31.58819,    182.16473,     +65.93397,     182.16922,      +65.94210,  3118195.21, -2252463.95,  5203147.90,      53.705501,       -1.802537,  106327.06,  198534.73,    4734.65,             6733.82,   -93.66,  54813.77,           57408.17,    -25.03,     14.07,          29.83,  +1.72,  +0.23
  3,     UK003B,       0,  0.168505, 2459503.337192111649, 182.59140,  65.93141,              342.96139,  31.65396,       342.95406,       31.63007,    182.59140,     +65.93141,     182.58013,      +65.90721,  3118971.05, -2253000.99,  5201183.48,      53.688503,       -1.802421,  105302.43,  196436.85,    6913.93,             8913.10,  -196.05,  54580.33,           57408.17,     73.70,    -41.61,          88.87,  +1.79,  +0.32
  4,     UK003B,       0,  0.208473, 2459503.337192574516, 183.05932,  65.86425,              342.72513,  31.67817,       342.72538,       31.67900,    183.05932,     +65.86425,     183.06064,      +65.86509,  3119862.15, -2253617.82,  5198927.24,      53.668972,       -1.802264,  104126.27,  194029.10,    9416.96,            11416.13,    23.01,  62625.84,           58083.09,     -2.52,      1.42,           3.07,  +1.27,  -0.17
  5,     UK003B,       0,  0.248417, 2459503.337193036918, 183.60527,  65.81042,              342.46189,  31.72994,       342.46330,       31.73466,    183.60527,     +65.81042,     183.60889,      +65.81517,  3120857.47, -2254306.79,  5196407.12,      53.647149,       -1.802069,  102813.45,  191342.30,   12212.74,            14211.90,   536.19,  69992.29,           59976.92,    -14.17,      7.97,          17.53,  +2.40,  +0.99
  6,     UK003B,       0,  0.288361, 2459503.337193498854, 183.97066,  65.79827,              342.29832,  31.78678,       342.29329,       31.76994,    183.97066,     +65.79827,     183.96253,      +65.78133,  3121482.75, -2254739.61,  5194823.93,      53.633435,       -1.802009,  101989.14,  189657.07,   13969.10,            15968.26,     9.96,  43970.58,           58938.61,     50.09,    -28.23,          62.53,  +2.69,  +1.30
  7,     UK003B,       0,  0.328325, 2459503.337193961721, 184.47056,  65.72724,              342.04532,  31.81722,       342.04651,       31.82128,    184.47056,     +65.72724,     184.47429,      +65.73132,  3122375.98, -2255357.92,  5192562.29,      53.613838,       -1.801851,  100812.25,  187250.68,   16478.12,            18477.29,   235.25,  62782.17,           58826.36,    -11.93,      6.70,          15.08,  +2.70,  +1.34
  8,     UK003B,       0,  0.368313, 2459503.337194424588, 184.76832,  65.67159,              341.88715,  31.82421,       341.89520,       31.85193,    184.76832,     +65.67159,     184.78622,      +65.69934,  3122906.56, -2255725.19,  5191218.88,      53.602194,       -1.801826,  100113.48,  185823.76,   17968.47,            19967.64,  -559.50,  37269.97,           57335.40,    -80.79,     45.24,         102.78,  +3.15,  +1.80
  9,     UK003B,       0,  0.408213, 2459503.337194886059, 185.33298,  65.66440,              341.64062,  31.92596,       341.63459,       31.90525,    185.33298,     +65.66440,     185.32219,      +65.64369,  3123810.26, -2256350.75,  5188930.72,      53.582355,       -1.801664,   98924.00,  183393.59,   20506.92,            22506.08,  -301.14,  63620.07,           56918.97,     59.49,    -33.53,          76.80,  +2.74,  +1.42
 10,     UK003B,       0,  0.448177, 2459503.337195348926, 185.89954,  65.56981,              341.34497,  31.95253,       341.34804,       31.96327,    185.89954,     +65.56981,     185.90818,      +65.58051,  3124776.71, -2257019.73,  5186483.69,      53.561131,       -1.801481,   97652.78,  180797.77,   23221.60,            25220.76,   129.81,  67928.16,           57192.36,    -30.44,     17.08,          39.82,  +2.80,  +1.51
 11,     UK003B,       0,  0.488113, 2459503.337195810862, 186.36702,  65.53152,              341.12284,  32.01085,       341.12208,       32.00819,    186.36702,     +65.53152,     186.36736,      +65.52887,  3125515.88, -2257531.39,  5184612.13,      53.544892,       -1.801380,   96681.06,  178815.49,   25297.87,            27297.04,   -76.05,  51990.12,           57150.08,      7.46,     -4.19,           9.87,  +4.87,  +3.61

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.