Orbital Analysis for matched events on 20210929_043850.041_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 104.69° Bg -21.05° Vg 70.57km/s
mass 0.00929g, abs. mag 0.1
Path Details
------------
start -3.34° 50.89° 106.92km
end   -3.44° 50.98° 98.04km

Orbit Details
-------------
Semimajor axis -4.17A.U., eccentricity 1.23, inclination 144.38°, Period 1000000000.00Y, LA Sun 185.97°, 

Full details below
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Detailed report below graphs

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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: 2459486.693634742405
Time: 2021-09-29 04:38:50.069505 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003E
 Convergence angle = 15.12891 deg
 R.A. = 104.03511  Dec =  +2.16492 deg

Best intersection: Stations UK000H and UK003E with Qconv = 15.13 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1092592.46 +/- 82.43 m
 Y =   3951025.31 +/- 33.52 m
 Z =   5009107.73 +/- 44.87 m
 Vx =   -17075.93 +/- 709.72 m/s
 Vy =    69321.67 +/- 338.57 m/s
 Vz =     2490.84 +/- 443.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
-1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK003E: -0.000795 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:38:50.069505 UTC
  Lon     = +-3.332614 +/- 0.0010 deg
  Lat     = +50.889450 +/- 0.0002 deg
  Lat geo = +50.704077 +/- 0.0002 deg
  Ht      =  107318.89 +/- 65.62 m

  JD dynamic   = 2459486.694435804617 
  LST apparent = 74.5420736625 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 103.83811 +/- 0.6180 deg
  Dec       =  +1.99816 +/- 0.3514 deg
  Azimuth   = 143.22487 +/- 0.5471 deg
  Elevation = +35.22993 +/- 0.5512 deg
  Vavg      =  69.85603 +/- 0.0885 km/s
  Vinit     =  71.43728 +/- 0.1689 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 104.04690 +/- 0.6180 deg
  Dec       =  +1.99407 +/- 0.3514 deg
  Azimuth   = 142.99050 +/- 0.5471 deg
  Elevation = +35.14708 +/- 0.5512 deg
  Vavg      =  70.00269 +/- 0.0885 km/s
  Vinit     =  71.58394 +/- 0.1689 km/s
Radiant (geocentric, J2000):
  R.A.   = 103.69348 +/- 0.6226 deg
  Dec    =  +1.69284 +/- 0.3549 deg
  Vg     =  70.57000 +/- 0.1709 km/s
  Vinf   =  71.43728 +/- 0.1689 km/s
  Zc     =  54.62166 +/- 0.5522 deg
  Zg     =  54.98304 +/- 0.5582 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.68727 +/- 0.7000 deg
  Bg     = -21.04943 +/- 0.2936 deg
  Vh     =  44.53947 +/- 0.0603 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 111.00589 +/- 1.3013 deg
  Bh     = -34.68308 +/- 0.4339 deg
  Vh_x   =  13.12886 +/- 0.7045 km/s
  Vh_y   = -34.19136 +/- 0.4744 km/s
  Vh_z   =  25.34459 +/- 0.2846 km/s
Orbit:
  La Sun = 185.966284 +/- -0.0000 deg
  a      =  -4.171247 +/- 0.1226 AU
  e      =   1.230252 +/- 0.0061
  i      = 144.377262 +/- 0.6030 deg
  peri   = 337.694913 +/- 1.8285 deg
  node   =   5.969161 +/- 0.0000 deg
  Pi     = 343.664074 +/- 1.8285 deg
  q      =   0.960437 +/- 0.0069 AU
  f      =  22.306058 +/- 1.8285 deg
  M      =        nan +/- nan deg
  Q      =  -9.302930 +/- 0.2447 AU
  n      =   0.115693 +/- 0.0042 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -2.290648 +/- 0.0343
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
q   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
Tp  , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
node, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
peri, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00
i   , -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00, -1.000000e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 17.817558
 a2 = 12.175036

Mean time residuals from time vs. length:
  Station with reference time: UK000H
  Avg. res. = 6.569e-06 s
  Stddev    = 2.56e-03 s

Begin point on the trajectory:
  Lon =    -3.337364 +/- 0.0008 deg
  Lat =    50.893469 +/- 0.0002 deg
  Ht  = 106918.05 +/- 69.21 m
End point on the trajectory:
  Lon =    -3.443948 +/- 0.0016 deg
  Lat =    50.982671 +/- 0.0001 deg
  Ht  = 98042.28 +/- 85.37 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,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   106384.90,    98042.28,          0.012862,     30.89,     15.44,              87.61, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_043848_744_0920832.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   2.080007,  29.022159,   106918.05,   100615.30,          0.010699,     22.18,     19.68,              74.25, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210929_043842_787_0920064.fits"}
    UK003Z,    True,    -1.639327,    51.011519,   64.00,   0.000000,   0.000000,   109557.08,    98899.88,          0.039909,       nan,       nan,              85.34, 0.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_043841_522_0922624.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,  0.000000, 2459486.693634742405,  15.77873,  33.74167,              272.47792,  43.68786,       272.47761,       43.68767,     15.77873,     +33.74167,      15.77874,      +33.74138,  1092601.27,  3950989.53,  5009106.44,      50.889663,       -3.332750,  107297.61,  153931.06,       0.00,               36.87,  1252.84,      0.00,           65297.70,      0.35,      0.70,           1.05,  +5.46,  +4.52
  1,     UK000H,       0,  0.040052, 2459486.693635205738,  15.06778,  33.75697,              273.02488,  43.24956,       272.99769,       43.23310,     15.06778,     +33.75697,      15.06848,      +33.73123,  1092979.50,  3949454.05,  5009051.27,      50.898817,       -3.343736,  106384.90,  153872.55,    1582.34,             1619.21,   -26.02,  39507.20,           65297.70,     30.91,     61.85,          92.69,  +3.74,  +2.80
  2,     UK000H,       0,  0.080220, 2459486.693635670934,  13.67875,  33.70709,              274.00096,  42.34183,       273.99517,       42.33836,     13.67875,     +33.70709,      13.67929,      +33.70159,  1093720.23,  3946446.99,  5008943.22,      50.916746,       -3.365114,  104598.21,  153797.12,    4681.17,             4718.04,   203.32,  77146.76,           65297.70,      6.61,     13.22,          19.82,  +2.20,  +1.27
  3,     UK000H,       0,  0.120356, 2459486.693636135198,  12.32517,  33.67263,              274.95589,  41.46746,       274.94026,       41.45817,     12.32517,     +33.67263,      12.32646,      +33.65770,  1094441.74,  3943517.93,  5008837.98,      50.934217,       -3.385967,  102858.80,  153784.07,    7699.62,             7736.49,   354.56,  75205.58,           65297.70,     17.94,     35.87,          53.79,  +2.01,  +1.08
  4,     UK000H,       0,  0.160480, 2459486.693636599928,  11.28781,  33.61757,              275.65241,  40.77933,       275.64819,       40.77683,     11.28781,     +33.61757,      11.28875,      +33.61352,  1094995.56,  3941269.65,  5008757.19,      50.947630,       -3.402031,  101524.28,  153816.44,   10016.52,            10053.39,  -194.89,  57743.40,           65172.46,      4.88,      9.74,          14.61,  +1.61,  +0.67
  5,     UK000H,       0,  0.200588, 2459486.693637064192,  10.30844,  33.57015,              276.31009,  40.13330,       276.30342,       40.12938,     10.30844,     +33.57015,      10.30977,      +33.56373,  1095518.86,  3939145.23,  5008680.86,      50.960308,       -3.417234,  100263.77,  153879.71,   12205.77,            12242.64,  -870.85,  54583.93,           63624.75,      7.73,     15.46,          23.17,  +1.93,  +0.99
  6,     UK000H,       0,  0.240780, 2459486.693637529388,   8.58932,  33.46334,              277.43205,  38.98548,       277.42765,       38.98292,      8.58932,     +33.46334,       8.59073,      +33.45908,  1096441.65,  3935399.08,  5008546.25,      50.982671,       -3.443948,   98042.28,  154060.52,   16066.25,            16103.12,   118.43,  96050.98,           66552.31,      5.14,     10.26,          15.37,  +5.07,  +4.13
  0,     UK003E,       0,  0.027022, 2459486.693635063712,  29.94952,  18.45714,              245.21304,  41.13731,       245.21374,       41.13810,     29.94952,     +18.45714,      29.94969,      +18.45809,  1092758.55,  3950351.05,  5009083.50,      50.893469,       -3.337364,  106918.05,  160615.59,       0.00,              694.84,   -19.56,      0.00,           70535.12,     -1.76,     -1.99,           3.41,  +3.52,  +2.49
  1,     UK003E,       0,  0.067586, 2459486.693635533564,  28.74763,  18.50498,              246.45507,  40.49072,       246.46480,       40.50157,     28.74763,     +18.50498,      28.74861,      +18.51810,  1093547.00,  3947150.24,  5008968.49,      50.912553,       -3.360101,  105015.97,  159751.14,    3298.49,             3993.33,   381.15,  81315.70,           70535.12,    -24.30,    -27.39,          47.27,  +1.63,  +0.61
  2,     UK003E,       0,  0.108010, 2459486.693636001088,  27.82131,  18.55880,              247.41312,  40.00126,       247.41321,       40.00137,     27.82131,     +18.55880,      27.82178,      +18.55893,  1094149.02,  3944706.25,  5008880.68,      50.927128,       -3.377523,  103564.36,  159136.04,    5817.07,             6511.91,    11.95,  62304.16,           70535.12,     -0.23,     -0.26,           0.46,  +1.35,  +0.34
  3,     UK003E,       0,  0.148522, 2459486.693636470009,  26.75807,  18.58273,              248.46957,  39.40479,       248.48281,       39.41910,     26.75807,     +18.58273,      26.75942,      +18.60030,  1094833.51,  3941927.50,  5008780.83,      50.943705,       -3.397331,  101914.71,  158481.50,    8680.63,             9375.46,   -18.56,  70684.07,           70535.12,    -32.29,    -36.38,          63.32,  +1.25,  +0.25
  4,     UK003E,       0,  0.188922, 2459486.693636937533,  25.91417,  18.61921,              249.31225,  38.94189,       249.31942,       38.94954,     25.91417,     +18.61921,      25.91531,      +18.62868,  1095372.90,  3939737.77,  5008702.15,      50.956772,       -3.412993,  100615.30,  158002.27,   10937.18,            11632.02,  -648.08,  55855.31,           67346.49,    -17.33,    -19.53,          34.09,  +1.17,  +0.18
  5,     UK003E,       1,  0.229310, 2459486.693637405057,  25.18027,  18.59108,              249.99090,  38.49003,       250.03582,       38.53745,     25.18027,     +18.59108,      25.18312,      +18.65008,  1095837.84,  3937850.33,  5008634.33,      50.968037,       -3.426528,   99495.67,  157615.26,   12882.23,            13577.07, -1588.24,  48159.10,           63699.45,   -107.88,   -121.36,         212.50,  +4.58,  +3.59
  0,     UK003Z,       1, -0.052792, 2459486.693634131458,  20.02878,  27.51154,              262.82364,  42.02180,       262.83307,       42.02914,     20.02878,     +27.51154,      20.02878,      +27.52167,  1091665.37,  3954788.91,  5009242.96,      50.867022,       -3.305790,  109557.08,  161887.31,       0.00,             3878.46,  8865.77,     -0.00,           63552.00,    -15.51,    -24.09,          36.50,  +3.37,  +2.32
  1,     UK003Z,       1, -0.012020, 2459486.693634603173,  18.79772,  27.51929,              263.86765,  41.25799,       263.88255,       41.26945,     18.79772,     +27.51929,      18.79783,      +27.53532,  1092404.28,  3951789.25,  5009135.18,      50.884897,       -3.327068,  107773.07,  161580.19,    3091.21,              787.25,  2861.92,  75816.87,           63552.00,    -24.48,    -38.00,          57.70,  +2.29,  +1.25
  2,     UK003Z,       1,  0.028528, 2459486.693635072559,  17.93320,  27.49897,              264.56822,  40.70244,       264.60445,       40.73008,     17.93320,     +27.49897,      17.93341,      +27.53793,  1092921.10,  3949691.15,  5009059.79,      50.897403,       -3.342017,  106525.82,  161403.00,    5253.34,             1374.88,   552.90,  53322.74,           63552.00,    -59.48,    -92.26,         140.28,  +1.66,  +0.62
  3,     UK003Z,       1,  0.069184, 2459486.693635543343,  16.87769,  27.49283,              265.43215,  40.03653,       265.47065,       40.06562,     16.87769,     +27.49283,      16.87767,      +27.53423,  1093551.23,  3947133.07,  5008967.88,      50.912655,       -3.360226,  105005.77,  161224.16,    7889.49,             4011.03,   284.70,  64840.42,           63552.00,    -63.14,    -97.90,         149.04,  +1.43,  +0.39
  4,     UK003Z,       1,  0.109888, 2459486.693636014126,  15.73398,  27.48510,              266.35677,  39.31334,       266.39046,       39.33854,     15.73398,     +27.48510,      15.73380,      +27.52135,  1094232.81,  3944366.10,  5008868.45,      50.929157,       -3.379931,  103362.39,  161078.52,   10740.90,             6862.44,   228.33,  70052.36,           64641.88,    -55.23,    -85.65,         130.51,  +1.64,  +0.60
  5,     UK003Z,       1,  0.150524, 2459486.693636484444,  14.70998,  27.45856,              267.15803,  38.65137,       267.19809,       38.68109,     14.70998,     +27.45856,      14.70944,      +27.50169,  1094842.34,  3941891.65,  5008779.54,      50.943919,       -3.397590,  101893.43,  160992.08,   13290.87,             9412.40,  -124.63,  62751.39,           64683.14,    -65.70,   -101.87,         155.31,  +1.17,  +0.14
  6,     UK003Z,       1,  0.191160, 2459486.693636954762,  13.68226,  27.41829,              267.94234,  37.97694,       267.99441,       38.01526,     13.68226,     +27.41829,      13.68102,      +27.47440,  1095454.05,  3939408.35,  5008690.31,      50.958738,       -3.415331,  100419.87,  160946.04,   15849.96,            11971.50,  -468.46,  62976.01,           64515.06,    -85.52,   -132.51,         202.12,  +1.08,  +0.05
  7,     UK003Z,       1,  0.231812, 2459486.693637425546,  12.62151,  27.38529,              268.75217,  37.28655,       268.80137,       37.32247,     12.62151,     +27.38529,      12.62004,      +27.43837,  1096085.33,  3936845.61,  5008598.23,      50.974035,       -3.433655,   98899.88,  160941.06,   18490.91,            14612.45,  -731.58,  64964.85,           64482.50,    -80.91,   -125.38,         191.24,  +1.92,  +0.89

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.