Orbital Analysis for matched events on 20210929_015515.670_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 64.28° Bg 15.76° Vg 51.50km/s
mass 0.00251g, abs. mag 1.9
Path Details
------------
start -1.65° 50.84° 100.75km
end   -1.70° 50.85° 91.41km

Orbit Details
-------------
Semimajor axis 1.23A.U., eccentricity 0.82, inclination 131.78°, Period 1.37Y, LA Sun 185.85°, last Perihelion 2020-06-29

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: 2459486.580042484682
Time: 2021-09-29 01:55:15.670677 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0001 and UK0006
 Convergence angle = 86.44859 deg
 R.A. =  59.06134  Dec = +36.68794 deg

Best intersection: Stations UK0001 and UK0006 with Qconv = 86.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3349399.81 +/- 70.83 m
 Y =   2364145.85 +/- 79.27 m
 Z =   5000287.31 +/- 107.84 m
 Vx =    21844.56 +/- 558.85 m/s
 Vy =    36157.94 +/- 902.45 m/s
 Vz =    31476.59 +/- 811.46 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.459952e+03, +5.928864e+03, +7.944502e+03, +3.162630e+04, +2.140516e+04, +4.476436e+04
+5.928864e+03, +6.898613e+03, +8.801889e+03, +3.123938e+04, +2.241112e+04, +4.663525e+04
+7.944502e+03, +8.801889e+03, +1.238957e+04, +4.824796e+04, +3.703951e+04, +7.726467e+04
+3.162630e+04, +3.123938e+04, +4.824796e+04, +2.337506e+05, +1.678050e+05, +3.419618e+05
+2.140516e+04, +2.241112e+04, +3.703951e+04, +1.678050e+05, +1.558071e+05, +2.995749e+05
+4.476436e+04, +4.663525e+04, +7.726467e+04, +3.419618e+05, +2.995749e+05, +6.176705e+05

Timing offsets (from input data):
    UK0001: 0.000000 s
    UK0006: 0.000132 s
    UK002W: 0.000000 s
    UK0038: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 01:55:15.670677 UTC
  Lon     = +-1.653359 +/- 0.0004 deg
  Lat     = +50.837444 +/- 0.0002 deg
  Lat geo = +50.651813 +/- 0.0002 deg
  Ht      =  100736.22 +/- 147.27 m

  JD dynamic   = 2459486.580843225587 
  LST apparent = 35.2160359299 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  58.86203 +/- 0.3259 deg
  Dec       = +36.69011 +/- 0.3347 deg
  Azimuth   = 120.86444 +/- 0.5213 deg
  Elevation = +67.99532 +/- 0.3782 deg
  Vavg      =  51.29039 +/- 0.5318 km/s
  Vinit     =  52.68166 +/- 0.9467 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  59.23241 +/- 0.3259 deg
  Dec       = +36.61176 +/- 0.3347 deg
  Azimuth   = 120.42498 +/- 0.5213 deg
  Elevation = +67.73643 +/- 0.3782 deg
  Vavg      =  51.38730 +/- 0.5318 km/s
  Vinit     =  52.77857 +/- 0.9467 km/s
Radiant (geocentric, J2000):
  R.A.   =  58.72043 +/- 0.3340 deg
  Dec    = +36.44300 +/- 0.3440 deg
  Vg     =  51.49827 +/- 0.9674 km/s
  Vinf   =  52.68166 +/- 0.9467 km/s
  Zc     =  21.91001 +/- 0.3778 deg
  Zg     =  22.16196 +/- 0.3901 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  64.27905 +/- 0.2332 deg
  Bg     = +15.75658 +/- 0.3739 deg
  Vh     =  32.41315 +/- 0.9538 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  31.15881 +/- 0.6977 deg
  Bh     = +25.56359 +/- 0.3817 deg
  Vh_x   = -25.02184 +/- 0.5012 km/s
  Vh_y   = -15.12919 +/- 0.7037 km/s
  Vh_z   = -13.98668 +/- 0.5918 km/s
Orbit:
  La Sun = 185.854739 +/- 0.0000 deg
  a      =   1.231447 +/- 0.1483 AU
  e      =   0.822674 +/- 0.0046
  i      = 131.781806 +/- 0.3742 deg
  peri   = 317.106223 +/- 3.8071 deg
  node   = 185.855453 +/- 0.0000 deg
  Pi     = 142.961675 +/- 3.8072 deg
  q      =   0.218368 +/- 0.0210 AU
  f      = 222.892683 +/- 3.8071 deg
  M      = 329.008915 +/- 3.9277 deg
  Q      =   2.244525 +/- 0.2762 AU
  n      =   0.721242 +/- 0.0903 deg/day
  T      =   1.366545 +/- 0.2675 years
  Last perihelion JD = 2459030.410588 (2020-06-29 21:51:14.809635) +/- 97.8385 days
  Tj     =   3.857617 +/- 0.3969
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.094215e-05, +4.201693e-05, -2.770471e-01, -2.165656e-10, -1.530513e-04, +8.293070e-06
q   , +4.201693e-05, +4.183666e-04, -1.835503e+00, -2.281323e-09, -1.314561e-03, +8.802574e-05
Tp  , -2.770471e-01, -1.835503e+00, +8.583779e+03, +1.008877e-05, +5.877950e+00, -3.888742e-01
node, -2.165656e-10, -2.281323e-09, +1.008877e-05, +2.635840e-14, +7.105395e-09, -1.018062e-09
peri, -1.530513e-04, -1.314561e-03, +5.877950e+00, +7.105395e-09, +4.159907e-03, -2.741122e-04
i   , +8.293070e-06, +8.802574e-05, -3.888742e-01, -1.018062e-09, -2.741122e-04, +3.932367e-05

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: UK0001
  Avg. res. = 5.550e-06 s
  Stddev    = 2.36e-03 s

Begin point on the trajectory:
  Lon =    -1.653290 +/- 0.0002 deg
  Lat =    50.837418 +/- 0.0001 deg
  Ht  = 100750.43 +/- 124.93 m
End point on the trajectory:
  Lon =    -1.699504 +/- 0.0002 deg
  Lat =    50.854577 +/- 0.0002 deg
  Ht  = 91406.88 +/- 112.84 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,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   100750.43,    91406.88,          0.013193,     12.13,     17.47,              16.93, 1.0000,    True,    True, {"ff_name": "FF_UK0001_20210929_015507_027_0675840.fits"}
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    98404.68,    92555.81,          0.010854,     25.58,     13.45,              45.73, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210929_015512_367_0678144.fits"}
    UK002W,    True,    -2.374601,    51.371449,   48.00, 956.691865,   0.000000,   100760.15,    93255.96,          0.092781,       nan,       nan,              18.19, 0.0000,    True,    True, {"ff_name": "FF_UK002W_20210929_015515_745_0673024.fits"}
    UK0038,    True,    -2.379250,    51.361350,  169.00,   0.000000,   0.000000,   101459.19,    92187.01,          0.051588,       nan,       nan,              17.85, 0.0000,    True,    True, {"ff_name": "FF_UK0038_20210929_015508_368_0672768.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,       0,  0.000000, 2459486.580042484682,  42.87859,  49.30707,              104.22305,  84.77085,       104.17731,       84.76923,     42.87859,     +49.30707,      42.88313,      +49.31043,  3349406.17,  2364156.37,  5000296.47,      50.837418,       -1.653290,  100750.43,  101140.77,       0.00,               15.33,   384.94,      0.00,           50033.77,      6.48,     -4.51,          16.10,  +4.04,  +4.02
  1,     UK0001,       0,  0.039820, 2459486.580042945687,  42.52521,  49.50208,              103.01390,  85.05266,       102.95109,       85.05042,     42.52521,     +49.50208,      42.53131,      +49.50649,  3348682.93,  2362959.23,  4999254.32,      50.840386,       -1.661299,   99133.28,   99474.26,    1744.22,             1728.89,     0.71,  43802.58,           50033.77,      8.36,     -5.81,          21.10,  +2.00,  +2.01
  2,     UK0001,       0,  0.079600, 2459486.580043405760,  42.08402,  49.74760,              101.24582,  85.39956,       101.19989,       85.39790,     42.08402,     +49.74760,      42.08844,      +49.75066,  3347809.09,  2361512.83,  4997995.18,      50.843972,       -1.670947,   97179.49,   97464.75,    3851.61,             3836.28,    12.42,  52976.11,           50033.77,      5.64,     -3.92,          14.54,  +1.47,  +1.53
  3,     UK0001,       0,  0.119368, 2459486.580043866299,  41.61908,  49.99395,               99.20051,  85.75402,        99.10146,       85.75040,     41.61908,     +49.99395,      41.62783,      +50.00018,  3346945.83,  2360083.93,  4996751.28,      50.847516,       -1.680487,   95249.41,   95483.83,    5933.50,             5918.17,    -0.73,  52350.89,           50033.77,     11.19,     -7.79,          29.45,  +1.41,  +1.51
  4,     UK0001,       0,  0.159132, 2459486.580044326372,  41.13507,  50.26143,               96.48121,  86.11560,        96.47533,       86.11538,     41.13507,     +50.26143,      41.13619,      +50.26178,  3346071.12,  2358636.08,  4995490.88,      50.851109,       -1.690159,   93293.82,   93481.29,    8043.00,             8027.67,    13.94,  53050.63,           50966.53,      0.61,     -0.42,           1.64,  +1.74,  +1.89
  5,     UK0001,       0,  0.198912, 2459486.580044786911,  40.66502,  50.54608,               92.87953,  86.45691,        93.29189,       86.47303,     40.66502,     +50.54608,      40.63555,      +50.52294,  3345227.09,  2357239.00,  4994274.68,      50.854577,       -1.699504,   91406.88,   91553.66,   10078.53,            10063.20,   -46.21,  51169.58,           51262.17,    -39.52,     27.44,         108.39,  +3.23,  +3.42
  0,     UK0006,       0,  0.055702, 2459486.580043125898,  26.00388,   1.45142,              192.32312,  38.93434,       192.30981,       38.92853,     26.00388,      +1.45142,      26.01362,       +1.44430,  3348357.07,  2362419.86,  4998784.78,      50.841723,       -1.664899,   98404.68,  154699.19,       0.00,             2514.75,   -50.12,      0.00,           52517.53,     14.91,     28.38,          42.74,  +2.04,  +1.09
  1,     UK0006,       0,  0.096222, 2459486.580043594819,  25.65193,   0.97295,              192.68785,  38.41311,       192.68456,       38.41168,     25.65193,      +0.97295,      25.65469,       +0.97118,  3347453.20,  2360923.74,  4997482.36,      50.845433,       -1.674879,   96383.76,  153208.49,    2179.83,             4694.58,    -4.95,  53796.33,           52517.53,      3.67,      6.98,          10.62,  +1.29,  +0.36
  2,     UK0006,       0,  0.136794, 2459486.580044064205,  25.27394,   0.43989,              193.07049,  37.83312,       193.09028,       37.84171,     25.27394,      +0.43989,      25.26023,       +0.45058,  3346478.51,  2359310.40,  4996077.90,      50.849436,       -1.685636,   94204.62,  151619.66,    4530.44,             7045.19,   208.26,  57936.74,           52517.53,    -21.97,    -41.78,          64.21,  +2.28,  +1.38
  3,     UK0006,       0,  0.177234, 2459486.580044532660,  24.95599,   0.04827,              193.39799,  37.40050,       193.40004,       37.40139,     24.95599,      +0.04827,      24.95525,       +0.04938,  3345741.02,  2358089.67,  4995015.21,      50.852465,       -1.693823,   92555.81,  150431.30,    6309.03,             8823.78,  -143.60,  43981.02,           52517.53,     -2.26,     -4.31,           6.67,  +5.05,  +4.16
  0,     UK002W,       1,  0.046254, 2459486.580043020193,  59.59934,  18.61204,              139.52386,  51.72649,       139.35032,       51.67978,     59.59934,     +18.61204,      59.72319,      +18.61590,  3349410.52,  2364163.57,  5000302.74,      50.837400,       -1.653436,  100760.15,  127748.50,       0.00,               25.83, -2041.33,      0.00,           67059.42,    236.87,    110.64,         422.11,  +2.77,  +2.24
  1,     UK002W,       1,  0.086466, 2459486.580043485388,  59.64430,  18.19096,              139.75020,  51.32736,       139.62342,       51.29340,     59.64430,     +18.19096,      59.73537,      +18.19391,  3348178.84,  2362124.84,  4998527.95,      50.842454,       -1.666963,   98006.16,  124923.56,    2970.41,             2944.59, -1241.01,  73868.75,           67059.42,    170.36,     79.46,         310.39,  +1.44,  +0.96
  2,     UK002W,       1,  0.126654, 2459486.580043950584,  59.66431,  17.79592,              139.98910,  50.96137,       139.87587,       50.93110,     59.66431,     +17.79592,      59.74619,      +17.79859,  3347073.15,  2360294.66,  4996934.73,      50.846994,       -1.679135,   95534.04,  122393.14,    5636.96,             5611.13,  -691.63,  66351.84,           67059.42,    150.04,     69.96,         278.99,  +1.36,  +0.92
  3,     UK002W,       1,  0.166818, 2459486.580044415314,  59.66626,  17.41672,              140.23837,  50.61645,       140.11478,       50.58342,     59.66626,     +17.41672,      59.75611,      +17.41960,  3346054.19,  2358608.05,  4995466.48,      50.851179,       -1.690375,   93255.96,  120066.20,    8094.33,             8068.50,  -350.16,  61183.43,           67059.42,    161.64,     75.41,         306.43,  +2.89,  +2.49
  0,     UK0038,       1,  0.014876, 2459486.580042656977,  59.96121,  19.07638,              138.68403,  52.00311,       138.55284,       51.96881,     59.96121,     +19.07638,      60.05403,      +19.08082,  3349723.15,  2364681.04,  5000753.21,      50.836118,       -1.649917,  101459.19,  127982.35,       0.00,              779.77,   365.66,      0.00,           65584.60,    178.17,     81.82,         315.98,  +2.91,  +2.37
  1,     UK0038,       1,  0.055172, 2459486.580043123104,  60.00651,  18.72220,              138.87087,  51.66554,       138.78216,       51.64245,     60.00651,     +18.72220,      60.06967,      +18.72528,  3348653.52,  2362910.55,  4999211.94,      50.840506,       -1.661682,   99067.51,  125521.70,    2579.58,             1799.82,  -737.15,  64015.88,           65584.60,    118.85,     54.52,         214.87,  +2.12,  +1.63
  2,     UK0038,       1,  0.095512, 2459486.580043590162,  60.05009,  18.31252,              139.09528,  51.27823,       139.04231,       51.26450,     60.05009,     +18.31252,      60.08822,      +18.31440,  3347467.67,  2360947.69,  4997503.21,      50.845374,       -1.674720,   96416.11,  122800.08,    5439.45,             4659.68,    -2.46,  70894.09,           65584.60,     69.89,     32.03,         129.13,  +1.88,  +1.43
  3,     UK0038,       1,  0.135812, 2459486.580044056755,  60.08537,  17.95135,              139.29403,  50.93766,       139.26920,       50.93124,     60.08537,     +17.95135,      60.10370,      +17.95225,  3346463.94,  2359286.28,  4996056.90,      50.849496,       -1.685792,   94172.04,  120500.85,    7860.10,             7080.33,   295.12,  60065.66,           65584.60,     32.34,     14.81,          60.89,  +2.37,  +1.97
  4,     UK0038,       1,  0.176092, 2459486.580044522882,  60.13913,  17.62145,              139.44362,  50.61749,       139.47520,       50.62562,     60.13913,     +17.62145,      60.11721,      +17.62027,  3345576.04,  2357816.60,  4994777.50,      50.853143,       -1.695613,   92187.01,  118470.55,   10001.40,             9221.64,   314.41,  53160.55,           62727.28,    -40.65,    -18.59,          77.83,  +3.27,  +2.90

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.