Orbital Analysis for matched events on 20211103_024736.478_UK

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Summary for Event
-----------------
shower ID 8 ORI
Lg 99.91° Bg -6.36° Vg 65.14km/s
mass 0.00337g, abs. mag 1.4
best visual mag 1.2
Path Details
------------
start -2.01° 50.55° 110.61km
end   -2.07° 50.62° 98.33km

Orbit Details
-------------
Semimajor axis -21.10A.U., eccentricity 1.02, inclination 164.27°, Period nanY, LA Sun 220.60°, 

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: 2459521.616394427139
Time: 2021-11-03 02:47:36.478505 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0025 and UK002D
 Convergence angle = 30.55353 deg
 R.A. = 100.69753  Dec = +16.68135 deg
Intersection 2 - Stations: UK0025 and UK0038
 Convergence angle = 4.79550 deg
 R.A. = 100.44542  Dec = +16.48056 deg
Intersection 3 - Stations: UK002D and UK0038
 Convergence angle = 25.75811 deg
 R.A. = 100.75983  Dec = +16.69094 deg

Best intersection: Stations UK0025 and UK002D with Qconv = 30.55 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    540795.85 +/- 27.97 m
 Y =   4095836.06 +/- 225.57 m
 Z =   4987017.44 +/- 54.33 m
 Vx =   -11529.93 +/- 2572.18 m/s
 Vy =    62145.76 +/- 15555.37 m/s
 Vz =    19267.26 +/- 4951.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.043143e+02, -1.288702e+03, -6.981983e+02, -3.495716e+04, +1.955873e+05, +5.867175e+04
-1.288702e+03, +2.028209e+04, +5.692557e+03, -6.415209e+04, +4.438868e+05, +1.332971e+05
-6.981983e+02, +5.692557e+03, +2.115674e+03, -3.052714e+04, +1.794533e+05, +5.726882e+04
-3.495716e+04, -6.415209e+04, -3.052714e+04, +1.716890e+07, -9.048627e+07, -2.796542e+07
+1.955873e+05, +4.438868e+05, +1.794533e+05, -9.048627e+07, +4.785463e+08, +1.477505e+08
+5.867175e+04, +1.332971e+05, +5.726882e+04, -2.796542e+07, +1.477505e+08, +4.564561e+07

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK0025: -0.001463 s
    UK002D: -0.000887 s
    UK0038: 0.000000 s
    UK003J: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 02:47:36.478505 UTC
  Lon     = +-2.010917 +/- 0.0007 deg
  Lat     = +50.546428 +/- 0.0012 deg
  Lat geo = +50.360705 +/- 0.0012 deg
  Ht      =  110529.72 +/- 178.67 m

  JD dynamic   = 2459521.617195168044 
  LST apparent = 82.4784292414 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 100.51060 +/- 0.2812 deg
  Dec       = +16.95287 +/- 0.1437 deg
  Azimuth   = 150.20009 +/- 0.4859 deg
  Elevation = +53.42986 +/- 0.0930 deg
  Vavg      =  61.92197 +/- 0.5234 km/s
  Vinit     =  66.07770 +/- 16.4393 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 100.76990 +/- 0.2812 deg
  Dec       = +16.92916 +/- 0.1437 deg
  Azimuth   = 149.82107 +/- 0.4859 deg
  Elevation = +53.32514 +/- 0.0930 deg
  Vavg      =  62.01180 +/- 0.5234 km/s
  Vinit     =  66.16753 +/- 16.4393 km/s
Radiant (geocentric, J2000):
  R.A.   = 100.28847 +/- 0.2840 deg
  Dec    = +16.72081 +/- 0.1415 deg
  Vg     =  65.13958 +/- 0.7969 km/s
  Vinf   =  66.07770 +/- 0.7855 km/s
  Zc     =  36.40908 +/- 0.0929 deg
  Zg     =  36.67850 +/- 0.0927 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  99.91070 +/- 0.2661 deg
  Bg     =  -6.36364 +/- 0.1557 deg
  Vh     =  42.78306 +/- 0.8270 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.04769 +/- 0.3115 deg
  Bh     =  -9.71540 +/- 0.1942 deg
  Vh_x   =  -8.73319 +/- 0.2251 km/s
  Vh_y   = -41.25526 +/- 0.8047 km/s
  Vh_z   =   7.21983 +/- 0.2402 km/s
Orbit:
  La Sun = 220.602877 +/- -0.0000 deg
  a      = -21.101245 +/- 22.8036 AU
  e      =   1.018481 +/- 0.0311
  i      = 164.273572 +/- 0.3540 deg
  peri   = 101.701077 +/- 2.4440 deg
  node   =  40.601104 +/- 0.0001 deg
  Pi     = 142.302181 +/- 2.4440 deg
  q      =   0.389964 +/- 0.0119 AU
  f      = 258.295482 +/- 2.4440 deg
  M      =        nan +/- nan deg
  Q      = -42.592453 +/- 45.6152 AU
  n      =   0.010168 +/- 0.0182 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.995329 +/- 0.4296
Shower association:
  IAU No.  =    8
  IAU code =  ORI

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.065751e-04, +5.028672e-05, -3.241122e+02, -7.858435e-08, -1.022238e-02, +4.111321e-04
q   , +5.028672e-05, +5.106469e-05, -1.325173e+02, -3.863407e-07, -8.130025e-03, +1.850704e-03
Tp  , -3.241122e+02, -1.325173e+02, +1.099393e+09, +2.750402e-01, +2.856420e+04, -1.416100e+03
node, -7.858435e-08, -3.863407e-07, +2.750402e-01, +8.517737e-09, +4.990503e-05, -4.006112e-05
peri, -1.022238e-02, -8.130025e-03, +2.856420e+04, +4.990503e-05, +1.380546e+00, -2.403372e-01
i   , +4.111321e-04, +1.850704e-03, -1.416100e+03, -4.006112e-05, -2.403372e-01, +1.885342e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 10.668376
 a2 = 17.806917

Mean time residuals from time vs. length:
  Station with reference time: UK0038
  Avg. res. = 6.287e-06 s
  Stddev    = 2.51e-03 s

Begin point on the trajectory:
  Lon =    -2.010532 +/- 0.0004 deg
  Lat =    50.546000 +/- 0.0011 deg
  Ht  = 110605.08 +/- 159.83 m
End point on the trajectory:
  Lon =    -2.074516 +/- 0.0005 deg
  Lat =    50.615947 +/- 0.0015 deg
  Ht  = 98334.50 +/- 207.70 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
    UK000H,    True,    -1.778230,    50.857470,   24.00, 2427.502198,   2.200980,   106513.95,   100862.22,          0.072105,       nan,       nan,              29.69, 0.0000,    True,    True, {"ff_name": "FF_UK000H_20211103_024726_800_0859648.fits"}
    UK0025,   False,    -2.949750,    50.877380,   82.00,   0.000000,   0.000000,   109473.92,   101688.04,          0.007908,      1.34,     17.96,              17.83, 0.0938,    True,    True, {"ff_name": "FF_UK0025_20211103_024728_806_0852736.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   4.480542,  26.743175,   110533.85,   100648.96,          0.008787,     11.26,     17.45,              23.92, 0.1644,    True,    True, {"ff_name": "FF_UK002D_20211103_024729_945_0852224.fits"}
    UK0038,   False,    -2.379250,    51.361350,  169.00,   0.018240,  43.471899,   110605.08,    98334.50,          0.012481,      3.16,     30.80,               9.47, 0.0270,    True,    True, {"ff_name": "FF_UK0038_20211103_024733_332_0857600.fits"}
    UK003J,    True,    -2.379250,    51.361350,  169.00,  40.824829,   0.000000,   110357.43,    99209.33,          0.042070,       nan,       nan,               9.47, 0.0000,    True,    True, {"ff_name": "FF_UK003J_20211103_024733_178_0857600.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,     UK000H,       1,  0.125620, 2459521.616395880934,  71.48220,  33.25907,              209.31990,  70.57790,       209.30657,       70.65820,     71.48220,     +33.25907,      71.52316,      +33.33205,   541668.46,  4091132.79,  4985559.27,      50.569287,       -2.032001,  106513.95,  112746.43,       0.00,             5000.85, -3239.23,      0.00,           58011.29,    -27.16,   -155.91,         289.52,  +2.24,  +1.98
  1,     UK000H,       1,  0.165632, 2459521.616396344267,  70.74864,  33.52944,              211.33351,  70.59398,       211.32777,       70.68236,     70.74864,     +33.52944,      70.79322,      +33.60993,   542105.82,  4088775.42,  4984828.41,      50.580754,       -2.042489,  104501.67,  110601.98,    2506.51,             7507.36, -3376.62,  62644.06,           58011.29,    -29.35,   -168.11,         318.25,  +1.24,  +1.02
  2,     UK000H,       1,  0.205624, 2459521.616396807134,  70.12789,  33.78728,              213.07077,  70.62101,       213.07202,       70.68477,     70.12789,     +33.78728,      70.16011,      +33.84548,   542469.12,  4086817.26,  4984221.31,      50.590283,       -2.051238,  102830.40,  108832.91,    4588.57,             9589.42, -3937.14,  52061.80,           58011.29,    -20.74,   -119.32,         229.54,  +2.15,  +1.97
  3,     UK000H,       1,  0.245624, 2459521.616397270001,  69.35916,  34.08331,              215.18967,  70.61644,       215.19580,       70.66588,     69.35916,     +34.08331,      69.38421,      +34.12862,   542897.02,  4084510.88,  4983506.26,      50.601513,       -2.061524,  100862.22,  106763.50,    7040.88,            12041.72, -4127.94,  61307.66,           58011.29,    -15.75,    -90.85,         178.14,  +3.31,  +3.17
  0,     UK0025,       0,  0.012598, 2459521.616394590121, 116.31212,  27.54823,              118.38002,  54.91910,       118.37732,       54.93366,    116.31212,     +27.54823,     116.30326,      +27.56056,   541025.25,  4094599.64,  4986634.11,      50.552435,       -2.016376,  109473.92,  133098.42,       0.00,             1314.65,   542.79,      0.00,           62025.78,    -33.93,     -2.55,          52.73,  +4.13,  +3.51
  1,     UK0025,       0,  0.052526, 2459521.616395052057, 116.55600,  27.71036,              117.91035,  54.90959,       117.91068,       54.90793,    116.55600,     +27.71036,     116.55724,      +27.70895,   541376.77,  4092704.96,  4986046.70,      50.561644,       -2.024824,  107856.20,  131178.28,    2014.55,             3329.20,   -81.01,  50454.67,           62025.78,      3.82,      0.28,           6.03,  +3.41,  +2.82
  2,     UK0025,       0,  0.092446, 2459521.616395514458, 116.93263,  27.92375,              117.22713,  54.86422,       117.22687,       54.86542,    116.93263,     +27.92375,     116.93228,      +27.92477,   541873.46,  4090027.81,  4985216.69,      50.574661,       -2.036705,  105570.75,  128472.76,    4861.09,             6175.74,   127.70,  71305.95,           62025.78,     -2.71,     -0.20,           4.36,  +2.30,  +1.76
  3,     UK0025,       0,  0.132366, 2459521.616395976394, 117.26434,  28.12072,              116.61719,  54.82939,       116.61823,       54.82479,    117.26434,     +28.12072,     117.26771,      +28.11680,   542299.94,  4087729.10,  4984504.01,      50.585845,       -2.046941,  103608.70,  126153.90,    7305.24,             8619.89,   -65.97,  61226.23,           62025.78,     10.18,      0.75,          16.70,  +1.95,  +1.45
  4,     UK0025,       0,  0.172302, 2459521.616396438330, 117.61380,  28.30376,              116.00370,  54.77209,       116.00165,       54.78051,    117.61380,     +28.30376,     117.60938,      +28.31097,   542717.49,  4085478.52,  4983806.26,      50.596801,       -2.056977,  101688.04,  123888.27,    9698.21,            11012.86,  -311.87,  59920.24,           61833.93,    -18.34,     -1.36,          30.62,  +2.93,  +2.46
  0,     UK002D,       0,  0.001034, 2459521.616394449491,  76.53469,  11.57362,              189.38308,  49.90712,       189.38530,       49.91069,     76.53469,     +11.57362,      76.53363,      +11.57732,   540794.96,  4095840.90,  4987018.94,      50.546405,       -2.010904,  110533.85,  143452.14,       0.00,                5.14,    -2.55,      0.00,           65429.40,     -8.08,     -5.21,          13.83,  +4.98,  +4.20
  1,     UK002D,       0,  0.041138, 2459521.616394913755,  76.03825,  11.43885,              190.11004,  49.72064,       190.11096,       49.72209,     76.03825,     +11.43885,      76.03799,      +11.44035,   541325.17,  4092983.06,  4986132.92,      50.560292,       -2.023558,  108093.63,  140679.23,    3038.65,             3033.51,   375.83,  75769.32,           65429.40,     -3.23,     -2.08,           5.64,  +3.26,  +2.52
  2,     UK002D,       0,  0.081230, 2459521.616395377554,  75.65836,  11.32093,              190.66043,  49.56073,       190.66863,       49.57339,     75.65836,     +11.32093,      75.65483,      +11.33413,   541720.31,  4090853.30,  4985472.62,      50.570647,       -2.033042,  106275.41,  138620.46,    5303.16,             5298.02,    -8.84,  56482.89,           65429.40,    -27.93,    -17.99,          49.43,  +1.97,  +1.26
  3,     UK002D,       0,  0.121322, 2459521.616395841818,  75.18665,  11.20120,              191.34471,  49.38566,       191.34603,       49.38766,     75.18665,     +11.20120,      75.18655,      +11.20328,   542189.12,  4088326.43,  4984689.21,      50.582939,       -2.044275,  104118.52,  136186.15,    7989.90,             7984.76,    28.71,  67014.32,           65429.40,     -4.34,     -2.80,           7.82,  +1.56,  +0.89
  4,     UK002D,       0,  0.161406, 2459521.616396305617,  74.80628,  11.09217,              191.89094,  49.22970,       191.89372,       49.23383,     74.80628,     +11.09217,      74.80567,      +11.09651,   542557.75,  4086339.55,  4984073.21,      50.592609,       -2.053152,  102422.81,  134279.22,   10102.49,            10097.35,  -507.36,  52703.98,           62745.30,     -8.89,     -5.74,          16.26,  +2.05,  +1.41
  5,     UK002D,       0,  0.201478, 2459521.616396769416,  74.39082,  10.99562,              192.48892,  49.07924,       192.47941,       49.06532,     74.39082,     +10.99562,      74.39600,      +10.98099,   542943.41,  4084260.82,  4983428.73,      50.602731,       -2.062441,  100648.96,  132290.86,   12312.74,            12307.60,  -944.98,  55157.01,           60894.84,     29.56,     19.10,          54.87,  +3.56,  +2.95
  0,     UK0038,       0,  0.000000, 2459521.616394427139,  92.83897,  11.10650,              163.89752,  48.80453,       163.91601,       48.82661,     92.83897,     +11.10650,      92.82279,      +11.12609,   540779.48,  4095924.31,  4987044.80,      50.546000,       -2.010532,  110605.08,  145770.85,       0.00,               93.83,   154.45,      0.00,           66962.13,    -63.83,     -6.43,          90.78,  +4.94,  +4.12
  1,     UK0038,       0,  0.040016, 2459521.616394890472,  92.68792,  11.03562,              164.13786,  48.76072,       164.13085,       48.75232,     92.68792,     +11.03562,      92.69421,      +11.02815,   541194.66,  4093686.54,  4986351.02,      50.556873,       -2.020475,  108694.27,  143422.29,    2379.35,             2285.52,  -298.04,  59459.98,           66962.13,     23.87,      2.50,          34.51,  +2.86,  +2.08
  2,     UK0038,       0,  0.080084, 2459521.616395353805,  92.53223,  10.90125,              164.40113,  48.65472,       164.40271,       48.65660,     92.53223,     +10.90125,      92.53118,      +10.90293,   541705.96,  4090930.63,  4985496.60,      50.570270,       -2.032695,  106341.43,  140532.00,    5309.63,             5215.79,   -15.36,  73132.58,           66962.13,     -5.26,     -0.54,           7.75,  +2.53,  +1.79
  3,     UK0038,       0,  0.120132, 2459521.616395817604,  92.37428,  10.78818,              164.66136,  48.56959,       164.65834,       48.56602,     92.37428,     +10.78818,      92.37740,      +10.78500,   542168.74,  4088436.28,  4984723.26,      50.582404,       -2.043785,  104212.28,  137917.39,    7961.80,             7867.96,    -9.47,  66224.78,           66962.13,      9.80,      1.02,          14.74,  +2.25,  +1.55
  4,     UK0038,       0,  0.160180, 2459521.616396280937,  92.20243,  10.67325,              164.94166,  48.48440,       164.92874,       48.46914,     92.20243,     +10.67325,      92.21426,      +10.65962,   542641.92,  4085885.88,  4983932.55,      50.594818,       -2.055133,  102035.67,  135245.72,   10673.56,            10579.73,    56.02,  67712.89,           67244.24,     41.06,      4.36,          62.98,  +2.18,  +1.52
  5,     UK0038,       0,  0.200244, 2459521.616396744736,  92.05585,  10.54616,              165.18723,  48.38261,       165.18289,       48.37752,     92.05585,     +10.54616,      92.06043,      +10.54161,   543070.64,  4083575.06,  4983216.12,      50.606071,       -2.065443,  100063.86,  132826.36,   13130.58,            13036.75,  -134.30,  61327.39,           66479.20,     13.49,      1.42,          21.07,  +2.63,  +2.01
  6,     UK0038,       0,  0.240296, 2459521.616397208534,  91.91861,  10.43525,              165.41448,  48.29489,       165.41371,       48.29400,     91.91861,     +10.43525,      91.92027,      +10.43445,   543446.71,  4081548.09,  4982587.69,      50.615947,       -2.074516,   98334.50,  130705.18,   15285.80,            15191.97,  -625.63,  53810.53,           64848.59,      2.35,      0.25,           3.72,  +4.93,  +4.35
  0,     UK003J,       1,  0.007516, 2459521.616394514218,  92.85755,  11.05196,              163.88490,  48.74763,       163.94390,       48.81720,     92.85755,     +11.05196,      92.80609,      +11.11359,   540833.29,  4095634.31,  4986954.89,      50.547408,       -2.011830,  110357.43,  145466.31,       0.00,              214.51,  -221.51,      0.00,           67644.18,   -201.43,    -19.19,         286.91,  +4.35,  +3.54
  1,     UK003J,       1,  0.047628, 2459521.616394978482,  92.71238,  10.97247,              164.11867,  48.69435,       164.15951,       48.74257,     92.71238,     +10.97247,      92.67701,      +11.01527,   541248.31,  4093397.35,  4986261.36,      50.558278,       -2.021771,  108447.35,  143118.73,    2378.49,             2593.01,  -493.53,  59296.31,           67644.18,   -137.31,    -13.48,         198.85,  +3.39,  +2.61
  2,     UK003J,       1,  0.087756, 2459521.616395442747,  92.53777,  10.87764,              164.39912,  48.63052,       164.41725,       48.65196,     92.53777,     +10.87764,      92.52239,      +10.89671,   541730.88,  4090796.34,  4985454.96,      50.570923,       -2.033315,  106226.78,  140390.91,    5144.06,             5358.58,  -379.52,  68918.68,           67644.18,    -59.87,     -6.08,          88.41,  +2.28,  +1.54
  3,     UK003J,       1,  0.127916, 2459521.616395907477,  92.36129,  10.74821,              164.69050,  48.53233,       164.70504,       48.54943,     92.36129,     +10.74821,      92.34925,      +10.76346,   542251.40,  4087990.72,  4984585.13,      50.584572,       -2.045770,  103831.99,  137450.48,    8127.19,             8341.71,   -50.07,  74281.18,           67644.18,    -46.82,     -4.79,          70.63,  +2.06,  +1.37
  4,     UK003J,       1,  0.168092, 2459521.616396372672,  92.16958,  10.60632,              165.00629,  48.42370,       165.01740,       48.43669,     92.16958,     +10.60632,      92.16072,      +10.61793,   542795.09,  4085060.28,  4983676.59,      50.598837,       -2.058788,  101331.16,  134381.50,   11243.05,            11457.56,   411.04,  77555.03,           70334.97,    -34.86,     -3.60,          53.79,  +2.49,  +1.85
  5,     UK003J,       1,  0.208240, 2459521.616396837402,  91.99083,  10.49090,              165.29564,  48.33842,       165.29387,       48.33635,     91.99083,     +10.49090,      91.99322,      +10.48905,   543256.47,  4082573.48,  4982905.60,      50.610951,       -2.069876,   99209.33,  131778.68,   13887.18,            14101.70,   402.29,  65859.76,           70463.74,      5.44,      0.57,           8.56,  +4.33,  +3.73

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.