Orbital Analysis for matched events on 20211103_012601.578_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 103.74° Bg -6.94° Vg 65.84km/s
mass 0.01034g, abs. mag 0.1
best visual mag 1.2
Path Details
------------
start 2.26° 53.49° 112.92km
end   2.09° 53.57° 100.48km

Orbit Details
-------------
Semimajor axis 30.09A.U., eccentricity 0.98, inclination 164.30°, Period 165.06Y, LA Sun 220.55°, last Perihelion 1856-11-18

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: 2459521.559740494471
Time: 2021-11-03 01:26:01.578722 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 17.29642 deg
 R.A. = 104.53833  Dec = +16.06853 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 17.30 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1555776.64 +/- 101.70 m
 Y =   3543351.49 +/- 124.95 m
 Z =   5194293.99 +/- 76.50 m
 Vx =   -15859.72 +/- 238.77 m/s
 Vy =    62155.27 +/- 666.34 m/s
 Vz =    18514.13 +/- 361.99 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.382485e+04, -1.248618e+04, -1.091052e+04, +3.801359e+02, -6.096863e+03, -1.886143e+03
-1.248618e+04, +1.127714e+04, +9.854050e+03, -3.433271e+02, +5.506501e+03, +1.703507e+03
-1.091052e+04, +9.854050e+03, +8.610541e+03, -3.000018e+02, +4.811621e+03, +1.488537e+03
+3.801359e+02, -3.433271e+02, -3.000018e+02, +1.045243e+01, -1.676428e+02, -5.186245e+01
-6.096863e+03, +5.506501e+03, +4.811621e+03, -1.676428e+02, +2.688762e+03, +8.318032e+02
-1.886143e+03, +1.703507e+03, +1.488537e+03, -5.186245e+01, +8.318032e+02, +2.573290e+02

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002K: 0.000000 s
    UK0032: -0.000609 s

Reference point on the trajectory:
  Time: 2021-11-03 01:26:01.578722 UTC
  Lon     = ++2.257108 +/- 0.0021 deg
  Lat     = +53.494128 +/- 0.0003 deg
  Lat geo = +53.313135 +/- 0.0003 deg
  Ht      =  112977.21 +/- 103.66 m

  JD dynamic   = 2459521.560541235376 
  LST apparent = 66.2951996326 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 104.31432 +/- 0.3541 deg
  Dec       = +16.09927 +/- 0.1878 deg
  Azimuth   = 126.84542 +/- 0.5085 deg
  Elevation = +42.31329 +/- 0.0909 deg
  Vavg      =  65.65564 +/- 0.6094 km/s
  Vinit     =  66.76512 +/- 0.5483 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 104.51235 +/- 0.3541 deg
  Dec       = +16.05792 +/- 0.1878 deg
  Azimuth   = 126.64993 +/- 0.5085 deg
  Elevation = +42.18298 +/- 0.0909 deg
  Vavg      =  65.82302 +/- 0.6094 km/s
  Vinit     =  66.93251 +/- 0.5483 km/s
Radiant (geocentric, J2000):
  R.A.   = 104.18431 +/- 0.3528 deg
  Dec    = +15.82280 +/- 0.1930 deg
  Vg     =  65.83700 +/- 0.5558 km/s
  Vinf   =  66.76512 +/- 0.5483 km/s
  Zc     =  47.57835 +/- 0.0912 deg
  Zg     =  47.93192 +/- 0.0904 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 103.73890 +/- 0.3225 deg
  Bg     =  -6.94099 +/- 0.2223 deg
  Vh     =  41.93847 +/- 0.4091 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.96193 +/- 0.7209 deg
  Bh     = -10.93575 +/- 0.3554 deg
  Vh_x   =  -4.33136 +/- 0.4916 km/s
  Vh_y   = -40.94845 +/- 0.4795 km/s
  Vh_z   =   7.95606 +/- 0.2105 km/s
Orbit:
  La Sun = 220.546129 +/- 0.0000 deg
  a      =  30.090161 +/- 2271.4504 AU
  e      =   0.983938 +/- 0.0204
  i      = 164.298209 +/- 0.6530 deg
  peri   =  91.950535 +/- 2.2942 deg
  node   =  40.544543 +/- 0.0001 deg
  Pi     = 132.495078 +/- 2.2943 deg
  q      =   0.483312 +/- 0.0154 AU
  f      = 268.046612 +/- 2.2941 deg
  M      = 359.769105 +/- nan deg
  Q      =  59.697010 +/- 4542.8960 AU
  n      =   0.005971 +/- 0.0094 deg/day
  T      = 165.058316 +/- nan years
  Last perihelion JD = 2399271.627901 (1856-11-18 03:04:10.629017) +/- 13501.6642 days
  Tj     =  -0.653485 +/- 0.2234
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.060692e-06, +2.047505e-06, -4.700709e+01, -5.239800e-09, -4.215179e-04, +3.014926e-05
q   , +2.047505e-06, +6.917162e-07, -1.588058e+01, -1.770181e-09, -1.424029e-04, +1.018543e-05
Tp  , -4.700709e+01, -1.588058e+01, +3.645899e+08, +4.064021e-02, +3.269319e+03, -2.338395e+02
node, -5.239800e-09, -1.770181e-09, +4.064021e-02, +4.530095e-12, +3.644254e-07, -2.606569e-08
peri, -4.215179e-04, -1.424029e-04, +3.269319e+03, +3.644254e-07, +2.931635e-02, -2.096865e-03
i   , +3.014926e-05, +1.018543e-05, -2.338395e+02, -2.606569e-08, -2.096865e-03, +1.499793e-04

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: UK002K
  Avg. res. = 5.082e-06 s
  Stddev    = 2.25e-03 s

Begin point on the trajectory:
  Lon =     2.256409 +/- 0.0020 deg
  Lat =    53.494441 +/- 0.0001 deg
  Ht  = 112923.50 +/- 95.31 m
End point on the trajectory:
  Lon =     2.092462 +/- 0.0021 deg
  Lat =    53.566936 +/- 0.0001 deg
  Ht  = 100476.54 +/- 97.18 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,  93.921668,   0.000001,   111878.80,   103113.49,          0.040551,       nan,       nan,              43.05, 0.0000,    True,    True, {"ff_name": "FF_UK0026_20211103_012554_678_0754176.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00, 109.025645,   0.000002,   112923.50,   100476.54,          0.007965,      8.61,     26.56,              27.58, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20211103_012602_307_0752896.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   109513.34,   102475.06,          0.007481,      1.00,     24.98,              43.05, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20211103_012555_113_0754176.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,  0.016820, 2459521.559740689117, 147.50369,  38.91065,               68.29764,  33.68611,        68.29384,       33.69228,    147.50369,     +38.91065,     147.50088,      +38.91721,  1556164.28,  3541832.34,  5193841.49,      53.500517,       +2.242736,  111878.80,  197904.50,       0.00,             1631.82,   236.50,      0.00,           67935.32,    -23.93,     -0.96,          24.96,  +4.47,  +2.99
  1,     UK0026,       1,  0.057028, 2459521.559741154313, 147.84874,  38.99065,               68.00450,  33.54894,        67.99381,       33.56619,    147.84874,     +38.99065,     147.84101,      +39.00905,  1556492.86,  3540544.58,  5193457.90,      53.505933,       +2.230438,  110947.86,  196903.21,    1383.26,             3015.09, -1064.73,  34402.68,           67935.32,    -66.67,     -2.68,          69.89,  +4.10,  +2.63
  2,     UK0026,       1,  0.097688, 2459521.559741625097, 148.93553,  39.20214,               67.11942,  33.09161,        67.07182,       33.16700,    148.93553,     +39.20214,     148.90217,      +39.28330,  1557491.19,  3536632.08,  5192292.49,      53.522389,       +2.193372,  108120.44,  193908.10,    5585.95,             7217.77,   423.28, 103361.60,           67935.32,   -288.37,    -11.70,         307.00,  +2.61,  +1.17
  3,     UK0026,       1,  0.137996, 2459521.559742091689, 149.47608,  39.39435,               66.60691,  32.92666,        66.58895,       32.95491,    149.47608,     +39.39435,     149.46415,      +39.42487,  1558004.89,  3534618.85,  5191692.81,      53.530858,       +2.174195,  106666.11,  192380.46,    7748.48,             9380.31,  -105.35,  53650.31,           67935.32,   -107.41,     -4.32,         115.26,  +1.56,  +0.14
  4,     UK0026,       1,  0.178448, 2459521.559742559679, 150.25128,  39.60212,               65.93239,  32.64484,        65.92433,       32.65737,    150.25128,     +39.60212,     150.24659,      +39.61574,  1558703.43,  3531881.21,  5190877.35,      53.542376,       +2.148151,  104689.10,  190326.23,   10689.17,            12320.99,   134.55,  72695.65,           68647.17,    -47.30,     -1.90,          51.30,  +1.25,  -0.15
  5,     UK0026,       1,  0.218828, 2459521.559743027203, 150.89613,  39.73804,               65.40458,  32.38646,        65.38712,       32.41335,    150.89613,     +39.73804,     150.88560,      +39.76742,  1559260.33,  3529698.72,  5190227.26,      53.551559,       +2.127334,  103113.49,  188703.77,   13033.53,            14665.35,  -217.06,  58057.45,           67339.33,   -100.93,     -4.06,         110.41,  +1.69,  +0.31
  0,     UK002K,       0,  0.000000, 2459521.559740494471, 133.06792,  24.78583,               90.51276,  31.79533,        90.51651,       31.78946,    133.06792,     +24.78583,     133.06950,      +24.77930,  1555795.60,  3543277.21,  5194271.87,      53.494441,       +2.256409,  112923.50,  209652.22,       0.00,               79.79,  -192.58,      0.00,           69390.06,     23.25,      7.54,          24.05,  +3.30,  +1.69
  1,     UK002K,       1,  0.040068, 2459521.559740958270, 133.41967,  24.82868,               90.19609,  31.61869,        90.18434,       31.63694,    133.41967,     +24.82868,     133.41500,      +24.84903,  1556381.06,  3540982.74,  5193588.42,      53.504090,       +2.234637,  111264.60,  207474.76,    2464.64,             2544.43,  -403.08,  61511.38,           69390.06,    -71.67,    -23.31,          74.93,  +5.17,  +3.59
  2,     UK002K,       0,  0.080100, 2459521.559741421603, 133.87179,  24.94918,               89.73995,  31.44104,        89.74531,       31.43276,    133.87179,     +24.94918,     133.87430,      +24.93994,  1557139.29,  3538011.20,  5192703.29,      53.516588,       +2.206458,  109116.91,  204667.48,    5656.57,             5736.36,   116.11,  79734.53,           69390.06,     32.14,     10.41,          34.04,  +2.09,  +0.53
  3,     UK002K,       0,  0.120164, 2459521.559741885401, 134.25103,  25.00540,               89.39282,  31.25812,        89.38817,       31.26525,    134.25103,     +25.00540,     134.24968,      +25.01339,  1557743.52,  3535643.17,  5191997.92,      53.526549,       +2.183943,  107406.01,  202436.72,    8200.23,             8280.02,   -15.11,  63489.91,           69390.06,    -27.43,     -8.91,          29.39,  +2.07,  +0.54
  4,     UK002K,       0,  0.160212, 2459521.559742348734, 134.65741,  25.09329,               89.00067,  31.08297,        89.00136,       31.08191,    134.65741,     +25.09329,     134.65835,      +25.09210,  1558385.66,  3533126.60,  5191248.32,      53.537136,       +2.160002,  105588.38,  200075.01,   10903.44,            10983.23,    14.29,  67499.32,           68766.51,      4.03,      1.31,           4.37,  +1.56,  +0.05
  5,     UK002K,       0,  0.200252, 2459521.559742812067, 135.06879,  25.18477,               88.60284,  30.90756,        88.61108,       30.89505,    135.06879,     +25.18477,     135.07281,      +25.17069,  1559021.00,  3530636.67,  5190506.64,      53.547613,       +2.136288,  103790.57,  197746.99,   13578.04,            13657.83,    15.62,  66798.24,           68307.25,     47.18,     15.27,          51.72,  +1.60,  +0.12
  6,     UK002K,       0,  0.240316, 2459521.559743275866, 135.49102,  25.25363,               88.21477,  30.70867,        88.21743,       30.70466,    135.49102,     +25.25363,     135.49303,      +25.24911,  1559649.50,  3528173.52,  5189772.95,      53.557977,       +2.112802,  102012.68,  195452.80,   16223.88,            16303.67,   -13.42,  66040.22,           67900.22,     14.97,      4.85,          16.61,  +1.83,  +0.37
  7,     UK002K,       0,  0.280368, 2459521.559743739665, 135.86416,  25.31388,               87.87316,  30.53247,        87.87098,       30.53574,    135.86416,     +25.31388,     135.86452,      +25.31758,  1560192.70,  3526044.68,  5189138.83,      53.566936,       +2.092462,  100476.54,  193476.07,   18510.61,            18590.40,  -400.77,  57094.02,           66830.09,    -12.11,     -3.93,          13.57,  +3.90,  +2.47
  0,     UK0032,       0,  0.068986, 2459521.559741300531, 148.37635,  39.14246,               67.53203,  33.36061,        67.52884,       33.36571,    148.37635,     +39.14246,     148.37431,      +39.14792,  1556999.31,  3538559.78,  5192866.69,      53.514281,       +2.211676,  109513.34,  195379.94,       0.00,             5147.09,   268.85,      0.00,           62598.13,    -19.59,     -0.79,          20.70,  +2.39,  +0.94
  1,     UK0032,       0,  0.109066, 2459521.559741764795, 149.02430,  39.31234,               66.96794,  33.11934,        66.96672,       33.12128,    149.02430,     +39.31234,     149.02389,      +39.31442,  1557603.36,  3536192.49,  5192161.55,      53.524239,       +2.189173,  107802.85,  193572.79,    2542.86,             7689.95,   135.76,  63444.60,           62598.13,     -7.40,     -0.30,           7.89,  +2.06,  +0.63
  2,     UK0032,       0,  0.149154, 2459521.559742228594, 149.66002,  39.46155,               66.43136,  32.87208,        66.42496,       32.88212,    149.66002,     +39.46155,     149.65622,      +39.47241,  1558178.14,  3533939.89,  5191490.57,      53.533715,       +2.167731,  106175.72,  191868.43,    4962.53,            10109.62,  -121.05,  60358.99,           62598.13,    -38.09,     -1.53,          40.98,  +2.06,  +0.64
  3,     UK0032,       0,  0.189242, 2459521.559742692392, 150.35318,  39.63151,               65.84218,  32.60945,        65.83662,       32.61808,    150.35318,     +39.63151,     150.35024,      +39.64089,  1558794.61,  3531523.89,  5190770.92,      53.543880,       +2.144724,  104431.10,  190058.50,    7557.72,            12704.82,  -202.34,  64737.35,           62598.13,    -32.53,     -1.30,          35.33,  +1.27,  -0.12
  4,     UK0032,       0,  0.229326, 2459521.559743156657, 151.14611,  39.83218,               65.16553,  32.31588,        65.16782,       32.31237,    151.14611,     +39.83218,     151.14856,      +39.82834,  1559486.03,  3528814.18,  5189963.78,      53.555281,       +2.118913,  102475.06,  188051.71,   10468.40,            15615.49,    32.12,  72614.34,           64740.59,     13.14,      0.53,          14.43,  +1.80,  +0.43
  5,     UK0032,       1,  0.269426, 2459521.559743620455, 151.65873,  39.90126,               64.78042,  32.08483,        64.75586,       32.12225,    151.65873,     +39.90126,     151.64431,      +39.94237,  1559906.36,  3527166.86,  5189473.10,      53.562213,       +2.103141,  101286.22,  186840.05,   12237.89,            17384.99,  -875.66,  44127.14,           62406.84,   -139.48,     -5.62,         154.11,  +5.51,  +4.15

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.