Orbital Analysis for matched events on 20211103_040201.096_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 130.09° Bg -14.91° Vg 68.30km/s
mass 0.02102g, abs. mag -0.4
best visual mag -0.1
Path Details
------------
start 0.65° 53.58° 110.35km
end   0.53° 53.70° 98.68km

Orbit Details
-------------
Semimajor axis 4.81A.U., eccentricity 0.79, inclination 153.96°, Period 10.54Y, LA Sun 220.65°, last Perihelion 2011-04-23

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: 2459521.668068244588
Time: 2021-11-03 04:02:01.096332 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK0032
 Convergence angle = 0.03232 deg
 R.A. =  83.67847  Dec = -67.96315 deg
Intersection 2 - Stations: UK0026 and UK003X
 Convergence angle = 30.92360 deg
 R.A. = 129.01767  Dec =  +3.59435 deg
Intersection 3 - Stations: UK0032 and UK003X
 Convergence angle = 30.93024 deg
 R.A. = 128.97276  Dec =  +3.55218 deg

Best intersection: Stations UK0032 and UK003X with Qconv = 30.93 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -920583.42 +/- 55.65 m
 Y =   3749033.34 +/- 25.68 m
 Z =   5198028.84 +/- 133.98 m
 Vx =   -43211.07 +/- 69.82 m/s
 Vy =    53873.49 +/- 305.21 m/s
 Vz =     4351.25 +/- 928.91 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.355434e+03, -9.261385e+02, -7.273461e+03, +1.280223e+04, +1.699157e+03, -4.082138e+04
-9.261385e+02, +7.004781e+02, +1.170035e+03, -1.573460e+03, -8.329599e+01, +4.029330e+03
-7.273461e+03, +1.170035e+03, +1.932421e+04, -3.295803e+04, -3.453397e+03, +1.141968e+05
+1.280223e+04, -1.573460e+03, -3.295803e+04, +7.570326e+04, +1.564020e+04, -2.566201e+05
+1.699157e+03, -8.329599e+01, -3.453397e+03, +1.564020e+04, +5.711169e+03, -4.922460e+04
-4.082138e+04, +4.029330e+03, +1.141968e+05, -2.566201e+05, -4.922460e+04, +9.081206e+05

Timing offsets (from input data):
    UK0026: -0.000003 s
    UK0032: 0.000000 s
    UK003X: 0.000244 s

Reference point on the trajectory:
  Time: 2021-11-03 04:02:01.096332 UTC
  Lon     = ++0.653292 +/- 0.0008 deg
  Lat     = +53.580844 +/- 0.0006 deg
  Lat geo = +53.399944 +/- 0.0006 deg
  Ht      =  110362.68 +/- 120.64 m

  JD dynamic   = 2459521.668868985493 
  LST apparent = 103.7961445112 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 128.73254 +/- 0.2031 deg
  Dec       =  +3.60516 +/- 0.7613 deg
  Azimuth   = 148.65753 +/- 0.5087 deg
  Elevation = +36.00646 +/- 0.6673 deg
  Vavg      =  68.99542 +/- 0.1152 km/s
  Vinit     =  69.19886 +/- 0.1619 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 128.94395 +/- 0.2031 deg
  Dec       =  +3.59897 +/- 0.7613 deg
  Azimuth   = 148.41209 +/- 0.5087 deg
  Elevation = +35.93506 +/- 0.6673 deg
  Vavg      =  69.11434 +/- 0.1152 km/s
  Vinit     =  69.31778 +/- 0.1619 km/s
Radiant (geocentric, J2000):
  R.A.   = 128.56543 +/- 0.2016 deg
  Dec    =  +3.32112 +/- 0.7693 deg
  Vg     =  68.30345 +/- 0.1640 km/s
  Vinf   =  69.19886 +/- 0.1619 km/s
  Zc     =  53.83910 +/- 0.6665 deg
  Zg     =  54.21799 +/- 0.6739 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 130.09446 +/- 0.0577 deg
  Bg     = -14.91146 +/- 0.7933 deg
  Vh     =  40.04801 +/- 0.0593 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 128.93290 +/- 0.1054 deg
  Bh     = -26.03222 +/- 1.3635 deg
  Vh_x   =  22.61335 +/- 0.2657 km/s
  Vh_y   = -27.99212 +/- 0.3312 km/s
  Vh_z   =  17.57613 +/- 0.8577 km/s
Orbit:
  La Sun = 220.654638 +/- -0.0000 deg
  a      =   4.807121 +/- 0.1236 AU
  e      =   0.793790 +/- 0.0053
  i      = 153.957569 +/- 1.3638 deg
  peri   =   3.498751 +/- 0.2163 deg
  node   =  40.654825 +/- 0.0001 deg
  Pi     =  44.153576 +/- 0.2163 deg
  q      =   0.991279 +/- 0.0001 AU
  f      = 356.499408 +/- 0.2163 deg
  M      = 359.755116 +/- 0.0189 deg
  Q      =   8.622964 +/- 0.2471 AU
  n      =   0.093514 +/- 0.0036 deg/day
  T      =  10.539700 +/- 0.4064 years
  Last perihelion JD = 2455674.595161 (2011-04-23 02:17:01.924746) +/- 148.4672 days
  Tj     =   0.032259 +/- 0.0217
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +3.000435e-05, +5.548673e-08, -8.375961e-01, +3.327584e-07, -1.634752e-04, -5.497278e-03
q   , +5.548673e-08, +1.038639e-08, -1.709657e-03, +2.097316e-09, -2.270312e-05, -3.536950e-05
Tp  , -8.375961e-01, -1.709657e-03, +2.343019e+04, -9.377739e-03, +4.900878e+00, +1.550582e+02
node, +3.327584e-07, +2.097316e-09, -9.377739e-03, +7.673214e-09, -5.166133e-06, -1.236171e-04
peri, -1.634752e-04, -2.270312e-05, +4.900878e+00, -5.166133e-06, +4.974994e-02, +8.680314e-02
i   , -5.497278e-03, -3.536950e-05, +1.550582e+02, -1.236171e-04, +8.680314e-02, +1.995818e+00

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: UK0032
  Avg. res. = 3.635e-06 s
  Stddev    = 1.91e-03 s

Begin point on the trajectory:
  Lon =     0.653202 +/- 0.0007 deg
  Lat =    53.580932 +/- 0.0006 deg
  Ht  = 110354.19 +/- 116.00 m
End point on the trajectory:
  Lon =     0.527113 +/- 0.0007 deg
  Lat =    53.702512 +/- 0.0009 deg
  Ht  = 98675.52 +/- 128.46 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,   False,    -0.023645,    52.984073,    6.00,   0.000026,  53.106802,   110188.13,    98675.52,          0.005764,     10.62,      8.50,              74.53, 0.9289,    True,    True, {"ff_name": "FF_UK0026_20211103_040201_188_0988160.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   110354.19,    99212.87,          0.017314,     31.80,     25.41,              74.53, 0.9289,    True,    True, {"ff_name": "FF_UK0032_20211103_040201_623_0988160.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   108064.89,   101394.46,          0.014117,     27.23,     72.85,              88.15, 0.9990,    True,    True, {"ff_name": "FF_UK003X_20211103_040155_335_0968960.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,       0,  0.009636, 2459521.668068355881, 178.64695,  69.91876,               33.78384,  53.28193,        33.78153,       53.28358,    178.64695,     +69.91876,     178.64288,      +69.92047,  -920398.00,  3748802.16,  5198010.16,      53.582656,       +0.651398,  110188.13,  136807.20,       0.00,              296.94,   -29.03,      0.00,           69003.94,     -3.22,      4.02,           7.76,  +1.63,  +0.95
  1,     UK0026,       0,  0.050424, 2459521.668068828061, 181.49212,  70.61525,               32.28799,  52.51166,        32.28020,       52.51711,    181.49212,     +70.61525,     181.47967,      +70.62119,  -918568.93,  3746521.76,  5197825.98,      53.600534,       +0.632919,  108466.69,  136013.22,    2929.10,             3226.04,    77.59,  71812.82,           69003.94,    -10.70,     13.37,          25.98,  +1.07,  +0.40
  2,     UK0026,       0,  0.091184, 2459521.668069299776, 184.41079,  71.23906,               30.90122,  51.75416,        30.88710,       51.76382,    184.41079,     +71.23906,     184.38947,      +71.25012,  -916831.51,  3744355.63,  5197651.03,      53.617522,       +0.615335,  106832.29,  135313.46,    5711.43,             6008.37,    39.37,  68261.28,           69003.94,    -19.22,     24.02,          46.89,  +0.64,  -0.02
  3,     UK0026,       0,  0.131936, 2459521.668069771491, 187.46747,  71.82682,               29.54951,  50.99872,        29.54837,       50.99949,    187.46747,     +71.82682,     187.46609,      +71.82773,  -915121.89,  3742224.16,  5197478.87,      53.634244,       +0.598008,  105224.79,  134677.59,    8449.24,             8746.18,   -42.81,  67182.26,           69003.94,     -1.54,      1.92,           3.78,  +0.51,  -0.14
  4,     UK0026,       0,  0.172732, 2459521.668070243672, 190.87644,  72.37516,               28.19749,  50.18556,        28.19749,       50.18556,    190.87644,     +72.37516,     190.87686,      +72.37516,  -913353.13,  3740018.96,  5197300.76,      53.651550,       +0.580063,  103562.47,  134075.72,   11281.76,            11578.70,   -33.33,  69431.27,           68882.57,     -0.00,      0.00,           0.00,  +0.49,  -0.15
  5,     UK0026,       0,  0.213572, 2459521.668070716318, 194.65066,  72.87422,               26.84432,  49.31698,        26.83815,       49.32096,    194.65066,     +72.87422,     194.64401,      +72.87946,  -911525.30,  3737740.10,  5197116.70,      53.669441,       +0.561500,  101845.47,  133514.37,   14208.88,            14505.81,    67.71,  71672.77,           69247.22,     -8.24,     10.30,          20.38,  +0.45,  -0.18
  6,     UK0026,       0,  0.254356, 2459521.668071188498, 198.35495,  73.28785,               25.60479,  48.49906,        25.60751,       48.49733,    198.35495,     +73.28785,     198.35849,      +73.28548,  -909826.48,  3735622.10,  5196945.64,      53.686075,       +0.544213,  100250.41,  133048.23,   16929.39,            17226.32,   -33.99,  66705.30,           69104.96,      3.62,     -4.53,           9.00,  +0.80,  +0.18
  7,     UK0026,       0,  0.295144, 2459521.668071660213, 202.21349,  73.62029,               24.42332,  47.66567,        24.42311,       47.66580,    202.21349,     +73.62029,     202.21425,      +73.62047,  -908148.38,  3733529.92,  5196776.66,      53.702512,       +0.527113,   98675.52,  132641.10,   19616.73,            19913.66,  -169.13,  65885.55,           68777.39,     -0.27,      0.34,           0.68,  +1.76,  +1.15
  0,     UK0032,       0,  0.000000, 2459521.668068244588, 178.39567,  69.84427,               33.93744,  53.34973,        33.92912,       53.35571,    178.39567,     +69.84427,     178.38163,      +69.85043,  -920574.39,  3749022.08,  5198027.93,      53.580932,       +0.653202,  110354.19,  136887.38,       0.00,               14.45,   355.31,      0.00,           67189.18,    -11.60,     14.49,          27.97,  +2.62,  +1.94
  1,     UK0032,       0,  0.039972, 2459521.668068706989, 180.65582,  70.44422,               32.67300,  52.74043,        32.68792,       52.72993,    180.65582,     +70.44422,     180.67966,      +70.43294,  -919070.12,  3747146.63,  5197876.45,      53.595634,       +0.637982,  108938.30,  136224.89,    2408.97,             2423.42,    -1.74,  60266.37,           67189.18,     20.56,    -25.71,          49.85,  +1.05,  +0.38
  2,     UK0032,       0,  0.079956, 2459521.668069169857, 183.57340,  71.11334,               31.21572,  51.98020,        31.24404,       51.96074,    183.57340,     +71.11334,     183.61699,      +71.09133,  -917280.44,  3744915.34,  5197696.23,      53.613132,       +0.619884,  107254.53,  135489.18,    5274.99,             5289.44,    97.44,  71679.16,           67189.18,     38.60,    -48.29,          94.11,  +0.43,  -0.23
  3,     UK0032,       0,  0.119964, 2459521.668069632724, 186.59314,  71.69409,               29.88246,  51.21964,        29.90301,       51.20579,    186.59314,     +71.69409,     186.62324,      +71.67769,  -915578.56,  3742793.52,  5197524.86,      53.629776,       +0.602643,  105654.12,  134842.37,    8000.40,             8014.85,    54.34,  68121.68,           67189.18,     27.78,    -34.75,          68.06,  -0.04,  -0.69
  4,     UK0032,       0,  0.159976, 2459521.668070096057, 189.74036,  72.21943,               28.60911,  50.45855,        28.62508,       50.44798,    189.74036,     +72.21943,     189.76239,      +72.20634,  -913917.97,  3740723.18,  5197357.64,      53.646023,       +0.585795,  104093.24,  134261.68,   10659.69,            10674.15,   -55.15,  66462.45,           67286.64,     21.46,    -26.85,          52.80,  -0.06,  -0.70
  5,     UK0032,       0,  0.199980, 2459521.668070558924, 193.28094,  72.73962,               27.27075,  49.64144,        27.30186,       49.62123,    193.28094,     +72.73962,     193.31969,      +72.71344,  -912154.54,  3738524.62,  5197180.07,      53.663281,       +0.567892,  102436.46,  133700.59,   13483.67,            13498.13,     0.60,  70592.40,           67786.85,     41.56,    -52.02,         102.72,  -0.15,  -0.78
  6,     UK0032,       0,  0.240016, 2459521.668071022257, 196.92500,  73.14713,               26.05945,  48.81539,        26.06764,       48.81015,    196.92500,     +73.14713,     196.93455,      +73.14007,  -910467.07,  3736420.76,  5197010.14,      53.679802,       +0.550730,  100851.79,  133217.56,   16186.02,            16200.47,   -67.50,  67497.93,           67934.48,     10.91,    -13.65,          27.05,  +0.06,  -0.56
  7,     UK0032,       0,  0.280052, 2459521.668071485590, 200.87362,  73.51805,               24.81916,  47.95448,        24.82399,       47.95144,    200.87362,     +73.51805,     200.87884,      +73.51379,  -908721.02,  3734243.87,  5196834.32,      53.696903,       +0.532955,   99212.87,  132774.13,   18982.17,            18996.62,   -41.80,  69840.87,           68154.98,      6.41,     -8.02,          15.96,  +0.89,  +0.27
  0,     UK003X,       0,  0.066631, 2459521.668069075327, 219.66621,  43.26867,               42.28919,  18.64568,        42.27678,       18.66062,    219.66621,     +43.26867,     219.66770,      +43.28765,  -918141.88,  3745989.34,  5197782.98,      53.604709,       +0.628552,  108064.89,  315758.95,       0.00,             3909.92,  -359.99,      0.00,           72577.19,    -98.15,     36.65,          68.44,  +5.46,  +2.96
  1,     UK003X,       0,  0.106967, 2459521.668069542386, 220.48816,  43.26669,               41.77193,  18.30287,        41.78155,       18.29133,    220.48816,     +43.26669,     220.48698,      +43.25200,  -916088.22,  3743428.94,  5197576.18,      53.624791,       +0.607791,  106133.31,  315665.88,    3288.76,             7198.68,   137.57,  81534.23,           72577.19,     75.95,    -28.42,          52.99,  +2.76,  +0.26
  2,     UK003X,       0,  0.147315, 2459521.668070008978, 221.25068,  43.19835,               41.32999,  17.93288,        41.32007,       17.94473,    221.25068,     +43.19835,     221.25260,      +43.21345,  -914167.85,  3741034.71,  5197382.80,      53.643578,       +0.588338,  104328.08,  315609.45,    6364.07,            10273.99,   420.84,  76219.49,           72577.19,    -78.16,     29.20,          54.53,  +2.29,  -0.21
  3,     UK003X,       0,  0.187555, 2459521.668070475105, 221.84161,  43.19358,               40.95777,  17.68788,        40.96628,       17.67774,    221.84161,     +43.19358,     221.84064,      +43.18064,  -912692.37,  3739195.16,  5197234.23,      53.658017,       +0.573334,  102941.68,  315584.84,    8726.92,            12636.84,    -0.87,  58719.06,           72577.19,     66.97,    -25.06,          46.73,  +2.26,  -0.24
  4,     UK003X,       0,  0.227843, 2459521.668070941232, 222.49617,  43.14481,               40.56970,  17.38233,        40.57267,       17.37881,    222.49617,     +43.14481,     222.49629,      +43.14031,  -911045.03,  3737141.33,  5197068.34,      53.674143,       +0.556582,  101394.46,  315579.20,   11365.00,            15274.92,  -150.68,  65480.43,           69896.35,     23.31,     -8.72,          16.27,  +1.88,  -0.62

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.