Orbital Analysis for matched events on 20211103_041349.299_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 105.07° Bg -7.70° Vg 66.68km/s
mass 0.01296g, abs. mag -0.5
best visual mag 1.3
Path Details
------------
start -2.43° 48.86° 113.49km
end   -2.44° 48.93° 102.51km

Orbit Details
-------------
Semimajor axis -170.70A.U., eccentricity 1.00, inclination 163.18°, Period nanY, LA Sun 220.66°, 

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: 2459521.676265045535
Time: 2021-11-03 04:13:49.305285 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0025 and UK0038
 Convergence angle = 19.10247 deg
 R.A. = 106.44380  Dec = +12.24428 deg
Intersection 2 - Stations: UK0025 and UK003N
 Convergence angle = 60.66299 deg
 R.A. = 105.82560  Dec = +14.94316 deg
Intersection 3 - Stations: UK0038 and UK003N
 Convergence angle = 41.58919 deg
 R.A. = 106.87896  Dec = +15.85192 deg

Best intersection: Stations UK0025 and UK003N with Qconv = 60.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1011200.11 +/- 104.85 m
 Y =   4157939.00 +/- 334.66 m
 Z =   4865977.57 +/- 91.57 m
 Vx =   -17725.09 +/- 256.63 m/s
 Vy =    62795.57 +/- 1805.41 m/s
 Vz =    17646.77 +/- 1521.56 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.439722e+04, -5.697106e+03, +9.145238e+03, +8.654351e+04, -1.618111e+04, +6.238218e+04
-5.697106e+03, +1.242895e+04, +6.096858e+02, -1.339978e+04, +5.491542e+04, -2.474722e+04
+9.145238e+03, +6.096858e+02, +1.201694e+04, +6.172621e+04, +9.724855e+03, +4.936795e+04
+8.654351e+04, -1.339978e+04, +6.172621e+04, +6.124857e+05, -8.905052e+02, +3.637422e+05
-1.618111e+04, +5.491542e+04, +9.724855e+03, -8.905052e+02, +3.027556e+05, -8.974368e+04
+6.238218e+04, -2.474722e+04, +4.936795e+04, +3.637422e+05, -8.974368e+04, +2.998477e+05

Timing offsets (from input data):
    UK0025: -0.001965 s
    UK0038: -0.000955 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 04:13:49.305285 UTC
  Lon     = +-2.432973 +/- 0.0012 deg
  Lat     = +48.859066 +/- 0.0025 deg
  Lat geo = +48.671651 +/- 0.0025 deg
  Ht      =  113768.34 +/- 207.92 m

  JD dynamic   = 2459521.677065848373 
  LST apparent = 103.6688292522 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 105.76260 +/- 0.6123 deg
  Dec       = +15.13370 +/- 0.9814 deg
  Azimuth   = 176.36219 +/- 1.0836 deg
  Elevation = +56.23090 +/- 0.9731 deg
  Vavg      =  66.61921 +/- 1.5277 km/s
  Vinit     =  67.59343 +/- 1.5450 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 106.03637 +/- 0.6123 deg
  Dec       = +15.13101 +/- 0.9814 deg
  Azimuth   = 175.88756 +/- 1.0836 deg
  Elevation = +56.21605 +/- 0.9731 deg
  Vavg      =  66.63093 +/- 1.5277 km/s
  Vinit     =  67.60515 +/- 1.5450 km/s
Radiant (geocentric, J2000):
  R.A.   = 105.46224 +/- 0.6154 deg
  Dec    = +14.93071 +/- 0.9786 deg
  Vg     =  66.67719 +/- 1.5657 km/s
  Vinf   =  67.59343 +/- 1.5450 km/s
  Zc     =  33.58206 +/- 0.9730 deg
  Zg     =  33.81801 +/- 0.9702 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 105.06693 +/- 0.5864 deg
  Bg     =  -7.70195 +/- 0.9861 deg
  Vh     =  42.35076 +/- 1.6355 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  86.22834 +/- 0.9452 deg
  Bh     = -12.18088 +/- 1.3988 deg
  Vh_x   =  -2.72313 +/- 0.6693 km/s
  Vh_y   = -41.30763 +/- 1.3973 km/s
  Vh_z   =   8.93596 +/- 1.3602 km/s
Orbit:
  La Sun = 220.662849 +/- -0.0000 deg
  a      = -170.698239 +/- 44.3288 AU
  e      =   1.003094 +/- 0.0901
  i      = 163.180239 +/- 1.7371 deg
  peri   =  86.201364 +/- 5.5075 deg
  node   =  40.661512 +/- 0.0004 deg
  Pi     = 126.862876 +/- 5.5071 deg
  q      =   0.528166 +/- 0.0315 AU
  f      = 273.795219 +/- 5.5078 deg
  M      =        nan +/- nan deg
  Q      = -341.924644 +/- 88.6614 AU
  n      =   0.000442 +/- 0.0675 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.893661 +/- 0.8639
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +6.124272e-04, +2.542902e-05, -2.038292e+02, +9.878368e-07, -2.240538e-02, -4.792232e-03
q   , +2.542902e-05, +3.943511e-04, -4.454534e+01, +4.055376e-06, -4.750997e-02, -1.523269e-02
Tp  , -2.038292e+02, -4.454534e+01, +7.717808e+07, -8.027056e-01, +1.169415e+04, +3.338872e+03
node, +9.878368e-07, +4.055376e-06, -8.027056e-01, +5.791041e-08, -5.084300e-04, -2.192729e-04
peri, -2.240538e-02, -4.750997e-02, +1.169415e+04, -5.084300e-04, +6.337067e+00, +1.944072e+00
i   , -4.792232e-03, -1.523269e-02, +3.338872e+03, -2.192729e-04, +1.944072e+00, +8.329694e-01

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: UK003N
  Avg. res. = 5.918e-06 s
  Stddev    = 2.43e-03 s

Begin point on the trajectory:
  Lon =    -2.433129 +/- 0.0012 deg
  Lat =    48.860687 +/- 0.0018 deg
  Ht  = 113493.54 +/- 72.68 m
End point on the trajectory:
  Lon =    -2.440210 +/- 0.0008 deg
  Lat =    48.925595 +/- 0.0015 deg
  Ht  = 102507.11 +/- 38.42 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
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,   112470.71,   103026.64,          0.020351,     79.49,     38.62,              28.88, 0.2333,    True,    True, {"ff_name": "FF_UK0025_20211103_041343_950_0982016.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   113493.54,   104952.06,          0.029970,    113.91,    108.17,              32.80, 0.2935,    True,    True, {"ff_name": "FF_UK0038_20211103_041348_435_0986880.fits"}
    UK003N,   False,    -0.162561,    51.236425,  112.00,   0.000000,   0.000000,   113442.85,   102507.11,          0.031339,     11.03,    179.33,              42.83, 0.4621,    True,    True, {"ff_name": "FF_UK003N_20211103_041345_587_0999680.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,     UK0025,       0,  0.026315, 2459521.676265360322, 112.09230, -13.50068,              170.39032,  25.14921,       170.38613,       25.14963,    112.09230,     -13.50068,     112.09625,      -13.49985, -1010790.75,  4156488.74,  4865570.01,      48.866718,       -2.433801,  112470.71,  254800.51,       0.00,             1561.07,  -169.28,      0.00,           69524.96,      7.43,    -15.26,          13.74,  +3.10,  +1.07
  1,     UK0025,       0,  0.066567, 2459521.676265826449, 112.18561, -13.79226,              170.32586,  24.84949,       170.35212,       24.84684,    112.18561,     -13.79226,     112.16180,      -13.79750, -1010071.35,  4153940.07,  4864853.79,      48.880173,       -2.435267,  110190.53,  252410.11,    2743.40,             4304.47,  -146.65,  68155.56,           69524.96,    -46.17,     95.02,          86.33,  +2.43,  +0.42
  2,     UK0025,       0,  0.106839, 2459521.676266292576, 112.22961, -14.13075,              170.31986,  24.50837,       170.31407,       24.50895,    112.22961,     -14.13075,     112.23540,      -14.12960, -1009284.37,  4151152.02,  4864070.29,      48.894902,       -2.436856,  107696.59,  249803.67,    5744.47,             7305.54,   132.30,  74520.06,           69524.96,     10.12,    -20.78,          19.08,  +1.85,  -0.14
  3,     UK0025,       0,  0.147091, 2459521.676266758237, 112.33565, -14.41336,              170.24184,  24.21618,       170.28124,       24.21218,    112.33565,     -14.41336,     112.29984,      -14.42129, -1008606.40,  4148750.13,  4863395.32,      48.907600,       -2.438250,  105548.40,  247565.16,    8329.87,             9890.94,    -3.07,  64230.38,           69524.96,    -68.25,    140.53,         130.16,  +3.57,  +1.60
  4,     UK0025,       0,  0.187379, 2459521.676267224830, 112.38911, -14.76786,              170.22845,  23.85812,       170.24158,       23.85680,    112.38911,     -14.76786,     112.37771,      -14.77051, -1007810.40,  4145930.11,  4862602.83,      48.922520,       -2.439859,  103026.64,  244946.00,   11365.36,            12926.43,   309.21,  75344.69,           70326.89,    -22.60,     46.43,          43.49,  +5.51,  +3.56
  0,     UK0038,       0,  0.005589, 2459521.676265107468, 102.97506, -17.90515,              180.76051,  20.73040,       180.81452,       20.73430,    102.97506,     -17.90515,     102.92204,      -17.90079, -1011113.42,  4157631.89,  4865891.26,      48.860687,       -2.433129,  113493.54,  302646.29,       0.00,              330.58,     1.20,      0.00,           67286.15,   -184.12,    194.22,         182.39,  +4.60,  +2.20
  1,     UK0038,       0,  0.045813, 2459521.676265572663, 102.85923, -18.21511,              180.87502,  20.41942,       180.84361,       20.41710,    102.85923,     -18.21511,     102.89039,      -18.21773, -1010314.35,  4154800.96,  4865095.72,      48.875627,       -2.434737,  110960.69,  300099.90,    3047.22,             3377.80,   329.54,  75756.29,           67286.15,    106.70,   -111.96,         106.30,  +1.81,  -0.58
  2,     UK0038,       0,  0.086025, 2459521.676266038325, 102.86615, -18.46962,              180.86531,  20.16499,       180.86719,       20.16513,    102.86615,     -18.46962,     102.86464,      -18.46947, -1009689.12,  4152585.93,  4864473.25,      48.887325,       -2.436033,  108979.19,  298114.09,    5431.49,             5762.07,    -4.26,  59292.38,           67286.15,     -6.36,      6.69,           6.38,  +1.34,  -1.03
  3,     UK0038,       0,  0.126257, 2459521.676266503986, 102.81425, -18.76722,              180.91441,  19.86691,       180.89470,       19.86545,    102.81425,     -18.76722,     102.83434,      -18.76887, -1008956.20,  4149989.39,  4863743.57,      48.901048,       -2.437525,  106656.72,  295793.72,    8226.41,             8556.99,    71.25,  69470.26,           67286.15,     66.22,    -69.51,          66.95,  +1.83,  -0.52
  4,     UK0038,       0,  0.166449, 2459521.676266969182, 102.83833, -18.99397,              180.88770,  19.64040,       180.91578,       19.64245,    102.83833,     -18.99397,     102.81109,      -18.99165, -1008418.18,  4148083.32,  4863207.93,      48.911127,       -2.438666,  104952.06,  294095.68,   10278.12,            10608.70,  -593.76,  51047.72,           63992.90,    -93.76,     98.69,          95.48,  +3.32,  +0.98
  0,     UK003N,       0,  0.000000, 2459521.676265045535,  74.13786, -14.63711,              212.53085,  18.53061,       212.48650,       18.50885,     74.13786,     -14.63711,      74.17079,      -14.67214, -1011097.43,  4157575.23,  4865875.34,      48.860985,       -2.433135,  113442.85,  332833.35,       0.00,              391.56,   439.94,      0.00,           62686.21,    274.51,    -16.89,         170.44,  +5.42,  +2.81
  1,     UK003N,       0,  0.040228, 2459521.676265511196,  73.94383, -14.84752,              212.63888,  18.26798,       212.62336,       18.26038,     73.94383,     -14.84752,      73.95554,      -14.85979, -1010479.11,  4155384.68,  4865259.75,      48.872546,       -2.434418,  111482.91,  331123.60,    2357.93,             2749.49,    78.72,  58614.08,           62686.21,     95.63,     -5.96,          59.68,  +2.61,  +0.01
  2,     UK003N,       0,  0.080472, 2459521.676265976857,  73.71838, -15.07086,              212.77126,  17.98251,       212.77477,       17.98423,     73.71838,     -15.07086,      73.71611,      -15.06808, -1009799.47,  4152976.88,  4864583.11,      48.885260,       -2.435812,  109328.90,  329252.93,    4949.69,             5341.25,   -49.75,  64401.17,           62686.21,    -21.53,      1.35,          13.51,  +1.74,  -0.85
  3,     UK003N,       0,  0.120704, 2459521.676266442519,  73.45840, -15.26333,              212.94683,  17.71404,       212.92754,       17.70459,     73.45840,     -15.26333,      73.47328,      -15.27866, -1009119.30,  4150567.22,  4863905.95,      48.897993,       -2.437208,  107173.52,  327390.64,    7543.46,             7935.02,  -175.39,  64470.41,           62686.21,    117.86,     -7.32,          74.40,  +2.14,  -0.44
  4,     UK003N,       0,  0.160988, 2459521.676266908646,  73.13604, -15.49938,              213.16400,  17.38320,       213.11508,       17.35924,     73.13604,     -15.49938,      73.17317,      -15.53837, -1008289.98,  4147629.14,  4863080.29,      48.913529,       -2.438877,  104545.92,  325132.19,   10706.02,            11097.58,   264.24,  78506.63,           66089.67,    297.25,    -18.22,         188.93,  +4.23,  +1.67
  5,     UK003N,       0,  0.201232, 2459521.676267374773,  72.92627, -15.73205,              213.27489,  17.09383,       213.26236,       17.08770,     72.92627,     -15.73205,      72.93646,      -15.74205, -1007646.40,  4145349.08,  4862439.55,      48.925595,       -2.440210,  102507.11,  323391.37,   13160.28,            13551.84,    -1.73,  60984.49,           66332.11,     75.78,     -4.72,          48.43,  +3.53,  +0.98

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.