Orbital Analysis for matched events on 20210810_022102.735_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 40.20° Bg 40.03° Vg 60.09km/s
mass 0.01602g, abs. mag 0.1
Path Details
------------
start 0.81° 53.65° 100.33km
end   0.77° 53.65° 88.96km

Orbit Details
-------------
Semimajor axis -19.88A.U., eccentricity 1.05, inclination 112.82°, Period 1000000000.00Y, LA Sun 137.40°, 

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: 2459436.597948322073
Time: 2021-08-10 02:21:02.735027 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 57.47427 deg
 R.A. =  19.36364  Dec = +51.90523 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 57.47 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3832977.84 +/- 32.53 m
 Y =   -344501.89 +/- 39.04 m
 Z =   5194340.76 +/- 61.81 m
 Vx =    35592.78 +/- 324.54 m/s
 Vy =    12124.71 +/- 261.13 m/s
 Vz =    48170.97 +/- 318.90 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan
+nan, +nan, +nan, +nan, +nan, +nan

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK002K: 0.000000 s
    UK0032: -0.000444 s

Reference point on the trajectory:
  Time: 2021-08-10 02:21:02.735027 UTC
  Lon     = ++0.813013 +/- 0.0006 deg
  Lat     = +53.646725 +/- 0.0002 deg
  Lat geo = +53.465671 +/- 0.0002 deg
  Ht      =  100289.21 +/- 64.73 m

  JD dynamic   = 2459436.598749062978 
  LST apparent = 354.8641470862 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  18.81145 +/- 0.3473 deg
  Dec       = +52.02514 +/- 0.1312 deg
  Azimuth   =  86.70930 +/- 0.6387 deg
  Elevation = +75.51262 +/- 0.1916 deg
  Vavg      =  56.57754 +/- 0.3516 km/s
  Vinit     =  61.10889 +/- 0.2951 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  19.20107 +/- 0.3473 deg
  Dec       = +51.94040 +/- 0.1312 deg
  Azimuth   =  86.76859 +/- 0.6387 deg
  Elevation = +75.25857 +/- 0.1916 deg
  Vavg      =  56.64823 +/- 0.3516 km/s
  Vinit     =  61.17959 +/- 0.2951 km/s
Radiant (geocentric, J2000):
  R.A.   =  18.67680 +/- 0.3475 deg
  Dec    = +51.87911 +/- 0.1324 deg
  Vg     =  60.09146 +/- 0.3001 km/s
  Vinf   =  61.10889 +/- 0.2951 km/s
  Zc     =  14.49888 +/- 0.1928 deg
  Zg     =  14.62125 +/- 0.1934 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  40.20475 +/- 0.2917 deg
  Bg     = +40.02872 +/- 0.1168 deg
  Vh     =  42.36566 +/- 0.2516 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  26.99062 +/- 0.9298 deg
  Bh     = +65.82523 +/- 0.1747 deg
  Vh_x   = -15.45993 +/- 0.0426 km/s
  Vh_y   =  -7.87404 +/- 0.3374 km/s
  Vh_z   = -38.65022 +/- 0.2114 km/s
Orbit:
  La Sun = 137.403109 +/- -0.0000 deg
  a      = -19.882124 +/- 113.7798 AU
  e      =   1.049971 +/- 0.0239
  i      = 112.816537 +/- 0.2738 deg
  peri   = 196.033645 +/- 0.8039 deg
  node   = 137.403138 +/- 0.0000 deg
  Pi     = 333.436783 +/- 0.8039 deg
  q      =   0.993520 +/- 0.0018 AU
  f      = 343.962663 +/- 0.8039 deg
  M      =        nan +/- nan deg
  Q      = -40.757768 +/- 227.5606 AU
  n      =   0.011118 +/- 0.0075 deg/day
  T      = 1000000000.000000 +/- 249441562.4435 years
  Last perihelion JD = NaN 
  Tj     =  -0.746932 +/- 0.1320
Shower association:
  IAU No.  =   -1
  IAU code =  ...

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

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000000
 a2 = 119.871353

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.135e-05 s
  Stddev    = 3.37e-03 s

Begin point on the trajectory:
  Lon =     0.813181 +/- 0.0006 deg
  Lat =    53.646731 +/- 0.0002 deg
  Ht  = 100333.03 +/- 53.67 m
End point on the trajectory:
  Lon =     0.768589 +/- 0.0004 deg
  Lat =    53.645229 +/- 0.0002 deg
  Ht  = 88961.10 +/- 31.94 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
    UK0026,    True,    -0.023645,    52.984073,    6.00,  10.054962,  20.048267,    99799.14,    88611.21,          0.049641,       nan,       nan,              34.29, 0.0000,    True,    True, {"ff_name": "FF_UK0026_20210810_022057_212_0542720.fits"}
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.394211,  34.968727,   100333.03,    88961.10,          0.009114,      4.46,     18.99,              23.58, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_022100_288_0536576.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,    99746.33,    89040.28,          0.009812,     20.85,      9.89,              34.29, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_022057_560_0542720.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,     UK0026,       1,  0.008963, 2459436.597948425915,  84.40432,  65.68709,               36.77706,  46.55396,        36.69715,       46.57337,     84.40432,     +65.68709,      84.42754,      +65.74458,  3832683.03,  -344602.32,  5193941.76,      53.646661,       +0.811093,   99799.14,  136470.41,       0.00,              506.16,   130.22,      0.00,           58352.12,     59.65,   -125.32,         209.78,  +1.81,  +1.13
  1,     UK0026,       1,  0.049455, 2459436.597948894370,  85.79786,  65.59308,               36.48687,  46.00716,        36.41100,       46.02557,     85.79786,     +65.59308,      85.82312,      +65.64792,  3831279.42,  -345080.46,  5192042.13,      53.646354,       +0.801959,   97465.94,  134489.26,    2409.84,             2916.00,    65.64,  59514.00,           58352.12,     56.27,   -118.30,         200.91,  +1.25,  +0.61
  2,     UK0026,       1,  0.089951, 2459436.597949363291,  87.18732,  65.48827,               36.19807,  45.45824,        36.12923,       45.47494,     87.18732,     +65.48827,      87.21317,      +65.53825,  3829910.48,  -345546.79,  5190189.42,      53.646054,       +0.793040,   95190.42,  132570.70,    4760.15,             5266.32,   -58.72,  58038.18,           58352.12,     50.74,   -106.75,         183.89,  +1.36,  +0.75
  3,     UK0026,       1,  0.130455, 2459436.597949831747,  88.59536,  65.36911,               35.90742,  44.89698,        35.84694,       44.91164,     88.59536,     +65.36911,      88.62073,      +65.41320,  3828551.40,  -346009.76,  5188350.04,      53.645756,       +0.784178,   92931.31,  130679.96,    7093.56,             7599.72,  -200.47,  57609.18,           58352.12,     44.31,    -93.29,         163.01,  +1.24,  +0.66
  4,     UK0026,       1,  0.170987, 2459436.597950301133,  90.04140,  65.21998,               35.62581,  44.30767,        35.55867,       44.32392,     90.04140,     +65.21998,      90.07246,      +65.26907,  3827175.68,  -346478.40,  5186488.16,      53.645452,       +0.775204,   90644.59,  128781.03,    9455.51,             9961.67,  -315.38,  58273.83,           58251.68,     48.90,   -102.96,         182.57,  +1.24,  +0.69
  5,     UK0026,       1,  0.211471, 2459436.597950769588,  91.36378,  65.09460,               35.34195,  43.77594,        35.29952,       43.78621,     91.36378,     +65.09460,      91.38541,      +65.12571,  3825952.36,  -346895.12,  5184832.54,      53.645182,       +0.767200,   88611.21,  127105.06,   11555.81,            12061.97,  -689.02,  51879.66,           57313.18,     30.71,    -64.77,         116.32,  +2.71,  +2.19
  0,     UK002K,       0,  0.000000, 2459436.597948322073,  52.35942,  43.09506,               80.81795,  50.80340,        80.81274,       50.80357,     52.35942,     +43.09506,      52.36192,      +43.09781,  3833004.20,  -344492.91,  5194376.43,      53.646731,       +0.813181,  100333.03,  128760.18,       0.00,               45.26,   217.02,      0.00,           59699.01,      7.21,     -1.69,          11.86,  +2.22,  +1.67
  1,     UK002K,       0,  0.040336, 2459436.597948789131,  52.86965,  42.84231,               80.78567,  50.35301,        80.77400,       50.35340,     52.86965,     +42.84231,      52.87549,      +42.84850,  3831570.34,  -344981.35,  5192435.86,      53.646418,       +0.803856,   97949.54,  126509.44,    2461.77,             2416.52,   123.39,  61031.69,           59699.01,     16.03,     -3.75,          26.84,  +1.29,  +0.78
  2,     UK002K,       0,  0.080648, 2459436.597949255724,  53.35681,  42.61340,               80.73477,  49.92945,        80.73804,       49.92934,     53.35681,     +42.61340,      53.35554,      +42.61165,  3830263.69,  -345426.47,  5190667.44,      53.646132,       +0.795337,   95777.53,  124464.78,    4705.16,             4659.91,   -96.64,  55650.62,           59699.01,     -4.46,      1.05,           7.59,  +1.19,  +0.71
  3,     UK002K,       0,  0.121020, 2459436.597949722782,  53.93634,  42.34322,               80.66628,  49.42575,        80.69629,       49.42474,     53.93634,     +42.34322,      53.92185,      +42.32712,  3828764.49,  -345937.17,  5188638.44,      53.645802,       +0.785581,   93285.51,  122128.62,    7279.12,             7233.86,    10.23,  63756.01,           59699.01,    -40.56,      9.52,          70.36,  +1.17,  +0.74
  4,     UK002K,       0,  0.161384, 2459436.597950189840,  54.44300,  42.05206,               80.66798,  48.95071,        80.65772,       48.95105,     54.44300,     +42.05206,      54.44888,      +42.05759,  3827406.35,  -346399.82,  5186800.35,      53.645503,       +0.776721,   91028.02,  120020.08,    9610.89,             9565.63,  -124.61,  57768.44,           59583.76,     13.76,     -3.22,          24.29,  +1.12,  +0.72
  5,     UK002K,       0,  0.201720, 2459436.597950656898,  54.94278,  41.80060,               80.62149,  48.50288,        80.62178,       48.50287,     54.94278,     +41.80060,      54.94347,      +41.80045,  3826162.86,  -346823.42,  5185117.42,      53.645229,       +0.768589,   88961.10,  118096.36,   11745.83,            11700.57,  -454.55,  52928.97,           58600.38,     -0.38,      0.09,           0.67,  +2.05,  +1.69
  0,     UK0032,       0,  0.005281, 2459436.597948388662,  84.45356,  65.72919,               36.70922,  46.55657,        36.69126,       46.56094,     84.45356,     +65.72919,      84.45879,      +65.74212,  3832651.26,  -344613.14,  5193898.76,      53.646654,       +0.810904,   99746.33,  136425.89,       0.00,              560.71,   409.77,      0.00,           58120.50,     13.37,    -28.19,          47.17,  +1.98,  +1.31
  1,     UK0032,       0,  0.045513, 2459436.597948854323,  85.63513,  65.64442,               36.47095,  46.09098,        36.44752,       46.09668,     85.63513,     +65.64442,      85.64291,      +65.66135,  3831458.98,  -345019.29,  5192285.14,      53.646394,       +0.803121,   97764.42,  134741.72,    2047.00,             2607.71,    -1.76,  50879.97,           58120.50,     17.35,    -36.58,          61.98,  +0.82,  +0.17
  2,     UK0032,       0,  0.085781, 2459436.597949319985,  87.10044,  65.55755,               36.13973,  45.52475,        36.15291,       45.52155,     87.10044,     +65.55755,      87.09599,      +65.54798,  3830024.82,  -345507.84,  5190344.16,      53.646079,       +0.793787,   95380.47,  132730.45,    4509.30,             5070.02,    -0.19,  61147.85,           58120.50,     -9.69,     20.47,          35.20,  +0.91,  +0.30
  3,     UK0032,       0,  0.126089, 2459436.597949786577,  88.58473,  65.41644,               35.85412,  44.92586,        35.85443,       44.92578,     88.58473,     +65.41644,      88.58514,      +65.41621,  3828585.38,  -345998.18,  5188396.04,      53.645763,       +0.784412,   92987.80,  130727.41,    6980.66,             7541.37,     7.98,  61311.68,           58120.50,     -0.23,      0.48,           0.84,  +0.68,  +0.10
  4,     UK0032,       0,  0.166397, 2459436.597950253170,  90.09509,  65.26917,               35.55109,  44.31579,        35.55505,       44.31483,     90.09509,     +65.26917,      90.09400,      +65.26627,  3827155.31,  -346485.34,  5186460.60,      53.645448,       +0.775091,   90610.75,  128753.59,    9435.93,             9996.64,     0.07,  60912.70,           59099.65,     -2.88,      6.08,          10.78,  +0.81,  +0.26
  5,     UK0032,       0,  0.206605, 2459436.597950718366,  91.10737,  65.15984,               35.35088,  43.90182,        35.35379,       43.90111,     91.10737,     +65.15984,      91.10683,      +65.15770,  3826210.50,  -346807.19,  5185181.90,      53.645239,       +0.768872,   89040.28,  127457.17,   11058.06,            11618.77,  -834.86,  40343.66,           56704.72,     -2.11,      4.46,           7.98,  +3.01,  +2.48

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.