Orbital Analysis for matched events on 20210904_034752.324_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 76.04° Bg 5.43° Vg 75.98km/s
mass 0.00617g, abs. mag 0.6
Path Details
------------
start -1.06° 50.85° 122.91km
end   -1.21° 50.90° 106.03km

Orbit Details
-------------
Semimajor axis -2.08A.U., eccentricity 1.48, inclination 171.09°, Period 1000000000.00Y, LA Sun 161.55°, 

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: 2459461.658244495280
Time: 2021-09-04 03:47:52.324392 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000F and UK0022
 Convergence angle = 44.21255 deg
 R.A. =  74.78455  Dec = +28.25596 deg

Best intersection: Stations UK000F and UK0022 with Qconv = 44.21 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3177794.54 +/- 95.14 m
 Y =   2610071.89 +/- 73.45 m
 Z =   5018669.50 +/- 59.03 m
 Vx =    18176.23 +/- 581.27 m/s
 Vy =    65127.23 +/- 704.96 m/s
 Vz =    36379.96 +/- 405.12 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):
    UK0001: 0.000000 s
    UK000F: 0.000023 s
    UK0022: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 03:47:52.324392 UTC
  Lon     = +-1.060417 +/- 0.0003 deg
  Lat     = +50.853900 +/- 0.0005 deg
  Lat geo = +50.668925 +/- 0.0005 deg
  Ht      =  122925.78 +/- 118.36 m

  JD dynamic   = 2459461.659045236185 
  LST apparent = 39.3978685469 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  74.40622 +/- 0.3707 deg
  Dec       = +28.28191 +/- 0.0702 deg
  Azimuth   = 117.25659 +/- 0.4465 deg
  Elevation = +55.36717 +/- 0.2174 deg
  Vavg      =  69.55589 +/- 0.4649 km/s
  Vinit     =  76.78172 +/- 0.6806 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  74.61382 +/- 0.3707 deg
  Dec       = +28.22105 +/- 0.0702 deg
  Azimuth   = 117.07736 +/- 0.4465 deg
  Elevation = +55.20369 +/- 0.2174 deg
  Vavg      =  69.70783 +/- 0.4649 km/s
  Vinit     =  76.93365 +/- 0.6806 km/s
Radiant (geocentric, J2000):
  R.A.   =  74.20281 +/- 0.3743 deg
  Dec    = +28.10536 +/- 0.0708 deg
  Vg     =  75.97742 +/- 0.6878 km/s
  Vinf   =  76.78172 +/- 0.6806 km/s
  Zc     =  34.54845 +/- 0.2185 deg
  Zg     =  34.73608 +/- 0.2229 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.04177 +/- 0.3288 deg
  Bg     =  +5.42986 +/- 0.0815 deg
  Vh     =  46.74978 +/- 0.6731 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  78.39453 +/- 0.5700 deg
  Bh     =  +8.84879 +/- 0.1137 deg
  Vh_x   =  -9.29278 +/- 0.5798 km/s
  Vh_y   = -45.24898 +/- 0.5601 km/s
  Vh_z   =  -7.19139 +/- 0.1545 km/s
Orbit:
  La Sun = 161.550768 +/- 0.0000 deg
  a      =  -2.080910 +/- 0.3480 AU
  e      =   1.479036 +/- 0.0716
  i      = 171.088543 +/- 0.1133 deg
  peri   = 168.663522 +/- 1.1527 deg
  node   = 161.540669 +/- 0.0001 deg
  Pi     = 330.204191 +/- 1.1527 deg
  q      =   0.996830 +/- 0.0021 AU
  f      =  11.324274 +/- 1.1527 deg
  M      =        nan +/- nan deg
  Q      =  -5.158649 +/- 0.6941 AU
  n      =   0.328341 +/- 0.0723 deg/day
  T      = 1000000000.000000 +/- 0.0000 years
  Last perihelion JD = NaN 
  Tj     =  -3.862489 +/- 0.3899
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 = 0.503629
 a2 = 27.668455

Mean time residuals from time vs. length:
  Station with reference time: UK0022
  Avg. res. = 2.329e-05 s
  Stddev    = 4.83e-03 s

Begin point on the trajectory:
  Lon =    -1.060516 +/- 0.0002 deg
  Lat =    50.853932 +/- 0.0005 deg
  Ht  = 122913.26 +/- 108.92 m
End point on the trajectory:
  Lon =    -1.206770 +/- 0.0002 deg
  Lat =    50.901100 +/- 0.0004 deg
  Ht  = 106025.49 +/- 72.24 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
    UK0001,    True,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   111408.55,    94339.40,          1.742495,       nan,       nan,              17.42, 0.0000,    True,    True, {"ff_name": "FF_UK0001_20210904_034741_981_0758784.fits"}
    UK000F,   False,    -1.306160,    51.883100,   80.00,  13.296263,  13.892052,   116747.39,   106025.49,          0.013828,     28.31,     25.59,              34.38, 1.0000,    True,    True, {"ff_name": "FF_UK000F_20210904_034749_634_0726528.fits"}
    UK0022,   False,    -0.848117,    51.261084,   92.00,   0.000000,   0.000000,   122913.26,   108076.32,          0.010772,     23.66,      0.10,              37.12, 1.0000,    True,    True, {"ff_name": "FF_UK0022_20210904_034742_112_0470272.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,     UK0001,       1, -0.443605, 2459461.658239360899,  74.46864,  47.57722,               83.98460,  66.62888,        85.59695,       68.15879,     74.46864,     +47.57722,      72.02066,      +47.55586,  3174479.63,  2598194.23,  5012034.65,      50.886058,       -1.157375,  111408.55,  119832.23,       0.00,            14003.17, 48051.02,     -0.00,           69003.93,  -3184.07,  -1332.38,        5941.99,  +2.83,  +2.44
  1,     UK0001,       1, -0.403721, 2459461.658239822369,  74.47034,  48.04402,               82.88102,  66.79485,        84.47493,       68.37550,     74.47034,     +48.04402,      71.93652,      +48.02100,  3173799.94,  2595758.85,  5010674.26,      50.892655,       -1.177862,  109048.27,  117123.01,    2871.19,            16874.35, 47859.85,  71988.43,           69003.93,  -3192.73,  -1336.01,        6096.02,  +1.50,  +1.16
  2,     UK0001,       1, -0.363869, 2459461.658240283839,  74.40693,  48.48925,               81.85150,  66.98653,        83.39424,       68.57388,     74.40693,     +48.48925,      71.85485,      +48.46100,  3173184.87,  2593555.00,  5009443.19,      50.898626,       -1.196435,  106912.71,  114677.98,    5469.42,            19472.59, 47398.18,  65197.09,           69003.93,  -3120.13,  -1310.44,        6087.75,  +0.97,  +0.67
  3,     UK0001,       1, -0.324009, 2459461.658240745310,  74.38077,  48.99411,               80.63954,  67.16638,        82.13905,       68.79097,     74.38077,     +48.99411,      71.76066,      +48.96246,  3172514.06,  2591151.40,  5008100.54,      50.905139,       -1.216695,  104583.97,  112019.90,    8303.14,            22306.31, 47171.38,  71091.89,           69003.93,  -3097.54,  -1302.81,        6188.44,  +0.80,  +0.55
  4,     UK0001,       1, -0.284157, 2459461.658241206314,  74.33128,  49.48901,               79.44586,  67.34812,        80.88829,       68.99444,     74.33128,     +49.48901,      71.66621,      +49.45281,  3171887.56,  2588906.61,  5006846.61,      50.911224,       -1.235645,  102409.44,  109545.39,   10949.64,            24952.80, 46757.97,  66408.00,           68566.79,  -3049.71,  -1285.99,        6232.94,  +0.75,  +0.55
  5,     UK0001,       1, -0.244293, 2459461.658241667785,  74.29956,  49.96388,               78.27591,  67.50374,        79.66483,       69.18164,     74.29956,     +49.96388,      71.57301,      +49.92407,  3171311.12,  2586841.17,  5005692.85,      50.916823,       -1.253110,  100408.93,  107275.76,   13384.68,            27387.85, 46132.19,  61083.93,           67372.80,  -3025.44,  -1277.67,        6315.61,  +0.99,  +0.84
  6,     UK0001,       1, -0.204453, 2459461.658242128789,  74.24818,  50.50088,               76.94108,  67.67849,        78.25768,       69.38205,     74.24818,     +50.50088,      71.46616,      +50.45630,  3170687.77,  2584607.63,  5004445.20,      50.922879,       -1.272000,   98245.93,  104830.41,   16017.92,            30021.08, 45706.44,  66095.15,           66809.56,  -2982.30,  -1262.44,        6373.07,  +1.29,  +1.19
  7,     UK0001,       1, -0.164577, 2459461.658242590260,  74.24664,  51.00669,               75.64726,  67.80364,        76.90350,       69.56141,     74.24664,     +51.00669,      71.36208,      +50.95959,  3170124.04,  2582587.74,  5003316.89,      50.928356,       -1.289114,   96290.11,  102626.83,   18399.27,            32402.43, 45026.04,  59718.94,           65983.67,  -2995.09,  -1267.62,        6537.71,  +1.54,  +1.48
  8,     UK0001,       1, -0.124725, 2459461.658243051730,  74.21914,  51.53445,               74.29222,  67.93892,        75.46994,       69.73685,     74.21914,     +51.53445,      71.25128,      +51.48350,  3169561.71,  2580572.85,  5002191.38,      50.933821,       -1.306200,   94339.40,  100437.06,   20774.72,            34777.89, 44341.59,  59606.87,           65173.22,  -2981.39,  -1263.11,        6650.75,  +2.68,  +2.67
  0,     UK000F,       0,  0.082634, 2459461.658245451283,  44.03169,   7.11157,              173.13847,  45.04815,       173.13696,       45.04668,     44.03169,      +7.11157,      44.03322,       +7.11018,  3176016.99,  2603702.75,  5015111.70,      50.871140,       -1.113687,  116747.39,  163406.00,       0.00,             7508.90,  1151.21,      0.00,           65284.89,      3.48,      3.85,           6.55,  +3.64,  +2.57
  1,     UK000F,       0,  0.122762, 2459461.658245915547,  43.67749,   6.81718,              173.66338,  44.77964,       173.66237,       44.77867,     43.67749,      +6.81718,      43.67879,       +6.81626,  3175495.34,  2601833.61,  5014067.61,      50.876201,       -1.129413,  114934.94,  161619.47,    2203.61,             9712.51,   273.73,  54914.60,           65284.89,      2.29,      2.54,           4.36,  +1.32,  +0.28
  2,     UK000F,       0,  0.162946, 2459461.658246380743,  43.23152,   6.41372,              174.32101,  44.40585,       174.34051,       44.42448,     43.23152,      +6.41372,      43.21706,       +6.43146,  3174830.02,  2599449.73,  5012735.97,      50.882657,       -1.149441,  112623.75,  159356.58,    5014.09,            12522.99,    -1.19,  69940.30,           65284.89,    -43.39,    -48.00,          83.75,  +1.04,  +0.03
  3,     UK000F,       0,  0.203122, 2459461.658246845938,  42.76117,   6.01990,              175.00413,  44.03969,       175.02438,       44.05881,     42.76117,      +6.01990,      42.74637,       +6.03821,  3174169.69,  2597083.68,  5011414.31,      50.889066,       -1.169341,  110330.22,  157128.32,    7803.54,            15312.44,  -296.52,  69430.63,           65284.89,    -44.19,    -48.90,          86.52,  +0.94,  -0.04
  4,     UK000F,       0,  0.243290, 2459461.658247310668,  42.24491,   5.61443,              175.74358,  43.66042,       175.74645,       43.66311,     42.24491,      +5.61443,      42.24371,       +5.61702,  3173483.25,  2594624.13,  5010040.40,      50.895729,       -1.190040,  107946.45,  154831.52,   10703.23,            18212.13,  -481.00,  72189.19,           67235.62,     -6.16,     -6.82,          12.24,  +1.23,  +0.28
  5,     UK000F,       0,  0.283442, 2459461.658247775398,  41.82845,   5.26542,              176.33515,  43.32948,       176.33812,       43.33223,     41.82845,      +5.26542,      41.82736,       +5.26807,  3172930.02,  2592641.85,  5008933.10,      50.901100,       -1.206770,  106025.49,  152995.33,   13040.24,            20549.14, -1226.93,  58204.01,           66503.14,     -6.25,     -6.92,          12.57,  +2.26,  +1.34
  6,     UK000F,       1,  0.323658, 2459461.658248241059,  41.19255,   4.75920,              177.22615,  42.84561,       177.20986,       42.83071,     41.19255,      +4.75920,      41.20634,       +4.74466,  3172125.03,  2589757.48,  5007321.90,      50.908918,       -1.231063,  103230.94,  150348.98,   16440.77,            23949.67,  -914.25,  84556.61,           68178.36,     33.55,     37.22,          68.75,  +4.52,  +3.63
  0,     UK0022,       0,  0.000000, 2459461.658244495280,  31.91071,  30.40581,              198.27301,  68.37518,       198.28081,       68.38274,     31.91071,     +30.40581,      31.90946,      +30.41382,  3177791.20,  2610059.94,  5018662.82,      50.853932,       -1.060516,  122913.26,  131917.90,       0.00,               14.09,     1.19,      0.00,           76715.09,     -0.09,    -18.62,          29.11,  +2.08,  +1.48
  1,     UK0022,       0,  0.040432, 2459461.658244963270,  31.04929,  30.33035,              200.17213,  68.12441,       200.15307,       68.10729,     31.04929,     +30.33035,      31.05247,      +30.31199,  3177129.49,  2607688.94,  5017338.39,      50.860349,       -1.080371,  120613.25,  129694.40,    2795.29,             2809.38,  -307.96,  69135.58,           76715.09,      0.17,     41.97,          66.75,  +1.23,  +0.67
  2,     UK0022,       0,  0.080968, 2459461.658245432191,  30.04053,  30.19012,              202.31307,  67.76036,       202.30671,       67.75509,     30.04053,     +30.19012,      30.04186,      +30.18439,  3176374.76,  2604984.68,  5015827.79,      50.867669,       -1.103017,  117990.45,  127186.01,    5983.48,             5997.57,  -232.20,  78650.82,           76715.09,      0.06,     12.86,          20.86,  +0.87,  +0.35
  3,     UK0022,       0,  0.121556, 2459461.658245902043,  28.95205,  30.03135,              204.55496,  67.33737,       204.56235,       67.34305,     28.95205,     +30.03135,      28.95139,      +30.03762,  3175589.96,  2602172.68,  5014257.01,      50.875283,       -1.126585,  115263.67,  124610.90,    9298.69,             9312.77,   -33.41,  81679.49,           76715.09,     -0.07,    -13.81,          22.86,  +1.00,  +0.52
  4,     UK0022,       0,  0.162136, 2459461.658246371895,  27.84608,  29.89025,              206.78232,  66.90354,       206.76913,       66.89406,     27.84608,     +29.89025,      27.84885,      +29.87961,  3174825.74,  2599434.40,  5012727.41,      50.882699,       -1.149566,  112608.89,  122137.96,   12526.98,            12541.07,    79.09,  79553.83,           77845.08,      0.10,     23.01,          38.86,  +1.42,  +0.99
  5,     UK0022,       0,  0.202772, 2459461.658246842213,  26.69550,  29.69025,              208.98331,  66.37849,       209.00065,       66.39018,     26.69550,     +29.69025,      26.69355,      +29.70363,  3174054.04,  2596669.30,  5011182.83,      50.890188,       -1.172797,  109928.62,  119677.63,   15786.89,            15800.98,   218.89,  80222.22,           78507.97,     -0.14,    -28.40,          48.95,  +2.16,  +1.77
  6,     UK0022,       0,  0.243216, 2459461.658247310203,  25.86776,  29.56622,              210.53831,  66.00552,       210.54520,       66.00999,     25.86776,     +29.56622,      25.86765,      +29.57140,  3173520.66,  2594758.15,  5010115.27,      50.895366,       -1.188920,  108076.32,  118000.64,   18040.04,            18054.13,  -633.31,  55710.40,           76308.87,     -0.05,    -10.85,          18.97,  +3.99,  +3.63

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.