Orbital Analysis for matched events on 20211111_224515.867_UK

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Summary for Event
-----------------
shower ID -1 spo (Sporadic)
Lg 134.71° Bg 52.94° Vg 54.52km/s
mass 0.06878g, abs. mag -0.8
best visual mag 1.1
Path Details
------------
start 2.69° 52.87° 106.30km
end   2.56° 52.66° 89.68km

Orbit Details
-------------
Semimajor axis -7.56A.U., eccentricity 1.13, inclination 93.50°, Period nanY, LA Sun 229.47°, 

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: 2459530.448100313079
Time: 2021-11-11 22:45:15.867050 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003W and UK004P
 Convergence angle = 26.05728 deg
 R.A. = 168.75916  Dec = +64.56039 deg

Best intersection: Stations UK003W and UK004P with Qconv = 26.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3200828.70 +/- 547.71 m
 Y =   2266611.55 +/- 375.77 m
 Z =   5146934.32 +/- 701.52 m
 Vx =   -23187.95 +/- 574.65 m/s
 Vy =     4314.87 +/- 895.15 m/s
 Vz =    50388.00 +/- 2553.18 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):
    UK003W: 0.000000 s
    UK004P: 0.003408 s

Reference point on the trajectory:
  Time: 2021-11-11 22:45:15.867050 UTC
  Lon     = ++2.695023 +/- 0.0090 deg
  Lat     = +52.873995 +/- 0.0054 deg
  Lat geo = +52.691674 +/- 0.0054 deg
  Ht      =  106366.86 +/- 422.75 m

  JD dynamic   = 2459530.448901053984 
  LST apparent = 35.3035588979 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 169.45882 +/- 1.4260 deg
  Dec       = +64.91629 +/- 0.6773 deg
  Azimuth   =  21.25087 +/- 1.0271 deg
  Elevation = +32.94740 +/- 0.3139 deg
  Vavg      =  57.01217 +/- 2.3829 km/s
  Vinit     =  55.63497 +/- 2.5021 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 168.97903 +/- 1.4260 deg
  Dec       = +64.72443 +/- 0.6773 deg
  Azimuth   =  21.57727 +/- 1.0271 deg
  Elevation = +32.88901 +/- 0.3139 deg
  Vavg      =  57.09982 +/- 2.3829 km/s
  Vinit     =  55.72262 +/- 2.5021 km/s
Radiant (geocentric, J2000):
  R.A.   = 169.89362 +/- 1.4605 deg
  Dec    = +64.49105 +/- 0.6551 deg
  Vg     =  54.51658 +/- 2.5474 km/s
  Vinf   =  55.63497 +/- 2.5021 km/s
  Zc     =  57.22255 +/- 0.3130 deg
  Zg     =  57.85718 +/- 0.2983 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 134.70809 +/- 0.3721 deg
  Bg     = +52.93919 +/- 0.8880 deg
  Vh     =  43.69861 +/- 1.9736 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  89.73967 +/- 8.5984 deg
  Bh     = +84.60000 +/- 1.9876 deg
  Vh_x   =  -0.01868 +/- 1.3839 km/s
  Vh_y   =  -4.11236 +/- 1.5287 km/s
  Vh_z   = -43.50467 +/- 1.7700 km/s
Orbit:
  La Sun = 229.468036 +/- -0.0000 deg
  a      =  -7.562970 +/- 2.0584 AU
  e      =   1.130258 +/- 0.2041
  i      =  93.496643 +/- 2.2903 deg
  peri   = 187.759443 +/- 0.5974 deg
  node   = 229.468162 +/- 0.0000 deg
  Pi     =  57.227605 +/- 0.5974 deg
  q      =   0.985141 +/- 0.0007 AU
  f      = 352.241148 +/- 0.5974 deg
  M      =        nan +/- nan deg
  Q      = -16.111081 +/- 4.1168 AU
  n      =   0.047388 +/- 0.1985 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.765584 +/- 1.1302
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
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 = 50.324544
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK003W
  Avg. res. = 7.970e-05 s
  Stddev    = 8.93e-03 s

Begin point on the trajectory:
  Lon =     2.694467 +/- 0.0088 deg
  Lat =    52.873129 +/- 0.0048 deg
  Ht  = 106298.71 +/- 376.86 m
End point on the trajectory:
  Lon =     2.556308 +/- 0.0047 deg
  Lat =    52.660576 +/- 0.0034 deg
  Ht  = 89675.38 +/- 207.55 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
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.000000,  56.113700,   106298.71,    91148.78,          0.029020,    113.44,     54.16,              23.65, 1.0000,    True,    True, {"ff_name": "FF_UK003W_20211111_224510_233_0529920.fits"}
    UK004P,   False,     0.265814,    50.757198,   61.00,   0.000000,   0.000000,   101504.60,    89675.38,          0.020700,    105.42,      2.96,              16.87, 1.0000,    True,    True, {"ff_name": "FF_UK004P_20211111_224511_403_0528384.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,     UK003W,       0,  0.000000, 2459530.448100313079, 143.82823,  44.69356,               46.11016,  22.99296,        46.09312,       22.95890,    143.82823,     +44.69356,     143.87560,      +44.67708,  3200880.92,  2266601.83,  5146820.84,      52.873129,       +2.694467,  106298.71,  260929.58,       0.00,              125.31,   227.96,      0.00,           54403.19,     73.93,   -153.91,         134.98,  +3.72,  +1.64
  1,     UK003W,       0,  0.040176, 2459530.448100778274, 143.76980,  44.52394,               46.26157,  22.88779,        46.26128,       22.88722,    143.76980,     +44.52394,     143.77077,      +44.52366,  3201660.33,  2266456.79,  5145127.16,      52.860199,       +2.685991,  105281.84,  259223.67,    1870.04,             1995.34,  -137.19,  46546.13,           54403.19,      1.23,     -2.57,           2.27,  +2.73,  +0.66
  2,     UK003W,       0,  0.080344, 2459530.448101243004, 143.62385,  44.32432,               46.48611,  22.79896,        46.48279,       22.79239,    143.62385,     +44.32432,     143.63330,      +44.32116,  3202670.38,  2266268.84,  5142932.30,      52.843436,       +2.675060,  103964.61,  257018.73,    4293.46,             4418.76,    51.48,  60332.10,           54403.19,     14.04,    -29.32,          26.09,  +2.17,  +0.12
  3,     UK003W,       0,  0.120516, 2459530.448101707734, 143.50977,  44.13507,               46.68452,  22.70397,        46.68521,       22.70535,    143.50977,     +44.13507,     143.50837,      +44.13573,  3203580.49,  2266099.49,  5140954.61,      52.828326,       +2.665198,  102778.25,  255034.64,    6477.08,             6602.39,     0.14,  54356.95,           54403.19,     -2.93,      6.12,           5.48,  +1.78,  -0.25
  4,     UK003W,       0,  0.160712, 2459530.448102173395, 143.39095,  43.92452,               46.90046,  22.59482,        46.90779,       22.60923,    143.39095,     +43.92452,     143.37170,      +43.93140,  3204565.79,  2265916.14,  5138813.53,      52.811959,       +2.654538,  101494.45,  252891.03,    8841.12,             8966.42,   127.87,  58812.61,           55478.62,    -30.28,     63.39,          57.30,  +1.53,  -0.48
  5,     UK003W,       0,  0.200892, 2459530.448102638125, 143.27935,  43.72696,               47.10322,  22.49263,        47.11652,       22.51868,    143.27935,     +43.72696,     143.24422,      +43.73937,  3205476.74,  2265746.63,  5136834.00,      52.796821,       +2.644674,  100308.04,  250912.16,   11026.78,            11152.08,    78.12,  54396.70,           55631.20,    -54.32,    113.84,         103.69,  +1.50,  -0.50
  6,     UK003W,       0,  0.241052, 2459530.448103102855, 143.17678,  43.54809,               47.28779,  22.40095,        47.30586,       22.43621,    143.17678,     +43.54809,     143.12916,      +43.56484,  3206292.66,  2265594.80,  5135061.00,      52.783257,       +2.635824,   99245.83,  249141.89,   12984.40,            13109.70,  -198.56,  48745.60,           54948.29,    -73.01,    153.16,         140.47,  +1.29,  -0.69
  7,     UK003W,       0,  0.281244, 2459530.448103568051, 143.04876,  43.33255,               47.51297,  22.29269,        47.53520,       22.33589,    143.04876,     +43.33255,     142.99047,      +43.35301,  3207265.43,  2265413.78,  5132947.15,      52.767079,       +2.625307,   97979.96,  247036.58,   15318.37,            15443.68,  -100.67,  58070.60,           54924.00,    -88.70,    186.23,         172.23,  +1.16,  -0.80
  8,     UK003W,       0,  0.321424, 2459530.448104033247, 142.91568,  43.12782,               47.73397,  22.19536,        47.75634,       22.23870,    142.91568,     +43.12782,     142.85747,      +43.14830,  3208189.72,  2265241.79,  5130938.63,      52.751700,       +2.615310,   96777.70,  245039.68,   17536.04,            17661.35,  -118.41,  55193.37,           54930.63,    -88.34,    185.47,         172.92,  +1.10,  -0.85
  9,     UK003W,       0,  0.361584, 2459530.448104497977, 142.76653,  42.92922,               47.96076,  22.11045,        47.97677,       22.14140,    142.76653,     +42.92922,     142.72560,      +42.94381,  3209097.66,  2265072.84,  5128965.65,      52.736586,       +2.605490,   95597.22,  243081.76,   19714.47,            19839.77,  -174.29,  54243.67,           54896.55,    -62.69,    131.45,         123.57,  +1.42,  -0.51
 10,     UK003W,       0,  0.401688, 2459530.448104962241, 142.55114,  42.75090,               48.21453,  22.07231,        48.19928,       22.04275,    142.55114,     +42.75090,     142.59320,      +42.73696,  3210000.85,  2264904.77,  5127003.01,      52.721546,       +2.595724,   94423.41,  241137.87,   21881.48,            22006.79,  -238.45,  54034.92,           54838.87,     59.67,   -124.34,         117.97,  +3.66,  +1.75
 11,     UK003W,       0,  0.482112, 2459530.448105893098, 142.30300,  42.28352,               48.68618,  21.82631,        48.68577,       21.82551,    142.30300,     +42.28352,     142.30610,      +42.28314,  3211929.51,  2264545.88,  5122811.98,      52.689408,       +2.574902,   91918.57,  237001.11,   26508.93,            26634.24,   -85.39,  57538.12,           55026.85,      1.58,     -3.31,           3.19,  +2.74,  +0.87
 12,     UK003W,       0,  0.522228, 2459530.448106357362, 142.20801,  42.14334,               48.84041,  21.76234,        48.83774,       21.75723,    142.20801,     +42.14334,     142.21714,      +42.14095,  3212522.52,  2264435.53,  5121523.34,      52.679520,       +2.568439,   91148.78,  235729.72,   27931.75,            28057.06,  -894.42,  35467.73,           54475.15,     10.09,    -21.09,          20.46,  +4.62,  +2.76
  0,     UK004P,       0,  0.181165, 2459530.448102393188, 159.52748,  47.46539,               34.85677,  18.38385,        34.85631,       18.38339,    159.52748,     +47.46539,     159.52915,      +47.46524,  3204557.97,  2265917.59,  5138830.51,      52.812089,       +2.654542,  101504.60,  301610.18,       0.00,             8947.68, -1028.80,      0.00,           61573.77,      0.09,     -3.33,           2.28,  +2.43,  +0.03
  1,     UK004P,       0,  0.221225, 2459530.448102856986, 159.40995,  47.29238,               35.02512,  18.28027,        34.99677,       18.25250,    159.40995,     +47.29238,     159.46630,      +47.28332,  3205864.94,  2265674.39,  5135990.45,      52.790368,       +2.640463,   99802.61,  298627.33,    3135.80,            12083.48,  -121.74,  78277.56,           61573.77,      5.90,   -201.49,         139.23,  +1.94,  -0.44
  2,     UK004P,       0,  0.261325, 2459530.448103321251, 159.42338,  47.14377,               35.10072,  18.14984,        35.10349,       18.15254,    159.42338,     +47.14377,     159.41908,      +47.14464,  3206846.22,  2265491.79,  5133858.10,      52.774052,       +2.629855,   98525.42,  296388.27,    5490.19,            14437.87,     1.69,  58712.96,           61573.77,     -0.53,     19.47,          13.56,  +2.35,  -0.01
  3,     UK004P,       0,  0.301365, 2459530.448103784584, 159.35185,  47.03282,               35.20646,  18.08216,        35.19264,       18.06867,    159.35185,     +47.03282,     159.37998,      +47.02845,  3207658.60,  2265340.62,  5132092.78,      52.760538,       +2.621048,   97468.48,  294534.89,    7439.34,            16387.02,  -276.78,  48680.10,           61573.77,      2.72,    -96.75,          67.78,  +1.68,  -0.67
  4,     UK004P,       0,  0.341441, 2459530.448104248382, 159.27203,  46.85268,               35.35625,  17.95915,        35.33334,       17.93677,    159.27203,     +46.85268,     159.31789,      +46.84544,  3208912.58,  2265107.28,  5129367.85,      52.739668,       +2.607548,   95837.86,  291680.12,   10448.02,            19395.70,   502.27,  75074.36,           62890.38,      4.57,   -158.98,         112.47,  +1.50,  -0.82
  5,     UK004P,       0,  0.381525, 2459530.448104712181, 159.30918,  46.74476,               35.39435,  17.85437,        35.40717,       17.86682,    159.30918,     +46.74476,     159.28600,      +46.74876,  3209569.58,  2264985.02,  5127940.16,      52.728728,       +2.600397,   94983.84,  290182.55,   12024.38,            20972.05,  -151.45,  39326.37,           59898.99,     -2.31,     88.26,          62.76,  +1.95,  -0.36
  6,     UK004P,       0,  0.421577, 2459530.448105175979, 159.21883,  46.59813,               35.53175,  17.76363,        35.52431,       17.75639,    159.21883,     +46.59813,     159.23493,      +46.59580,  3210590.13,  2264795.12,  5125722.49,      52.711730,       +2.589386,   93657.87,  287861.71,   14472.97,            23420.65,    68.86,  61135.35,           58963.24,      1.40,    -50.85,          36.45,  +1.07,  -1.23
  7,     UK004P,       0,  0.461661, 2459530.448105639778, 159.19324,  46.44774,               35.63181,  17.64600,        35.63641,       17.65046,    159.19324,     +46.44774,     159.18633,      +46.44917,  3211553.58,  2264615.83,  5123628.88,      52.695674,       +2.578986,   92406.65,  285672.35,   16784.59,            25732.27,   150.40,  57669.33,           58465.42,     -0.83,     31.16,          22.51,  +1.76,  -0.52
  8,     UK004P,       0,  0.501745, 2459530.448106103577, 159.16306,  46.29137,               35.73801,  17.52500,        35.75330,       17.53983,    159.16306,     +46.29137,     159.13584,      +46.29609,  3212543.55,  2264431.62,  5121477.64,      52.679170,       +2.568307,   91121.59,  283424.98,   19159.84,            28107.52,   295.58,  59256.84,           58285.89,     -2.66,    102.83,          74.86,  +1.49,  -0.77
  9,     UK004P,       0,  0.541833, 2459530.448106567841, 159.10929,  46.11521,               35.86972,  17.39604,        35.88722,       17.41299,    159.10929,     +46.11521,     159.07811,      +46.12060,  3213658.25,  2264224.19,  5119055.39,      52.660576,       +2.556308,   89675.38,  280897.89,   21834.33,            30782.01,   739.78,  66715.53,           58654.51,     -2.99,    116.62,          85.66,  +1.75,  -0.49

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.