Orbital Analysis for matched events on 20211103_003411.212_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 92.54° Bg 15.73° Vg 58.28km/s
mass 0.21521g, abs. mag -3.0
best visual mag 0.1
Path Details
------------
start 0.64° 55.84° 103.60km
end   0.48° 55.87° 87.14km

Orbit Details
-------------
Semimajor axis 7.67A.U., eccentricity 0.97, inclination 131.92°, Period 21.24Y, LA Sun 220.51°, last Perihelion 2000-09-13

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: 2459521.523740886245
Time: 2021-11-03 00:34:11.252805 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0026 and UK003B
 Convergence angle = 8.83994 deg
 R.A. =  93.15998  Dec = +38.33874 deg

Best intersection: Stations UK0026 and UK003B with Qconv = 8.84 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2261498.73 +/- 349.58 m
 Y =   2863398.34 +/- 259.57 m
 Z =   5342052.00 +/- 541.60 m
 Vx =    -2609.18 +/- 1374.96 m/s
 Vy =    45807.83 +/- 1570.77 m/s
 Vz =    37607.98 +/- 2154.10 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.252768e+05, +8.933204e+04, -1.899214e+05, +4.377183e+05, +2.902754e+05, -6.430587e+05
+8.933204e+04, +6.894682e+04, -1.401427e+05, +3.154662e+05, +2.223229e+05, -4.876117e+05
-1.899214e+05, -1.401427e+05, +3.012670e+05, -6.764300e+05, -4.755509e+05, +1.042290e+06
+4.377183e+05, +3.154662e+05, -6.764300e+05, +1.917146e+06, +1.340601e+06, -2.873682e+06
+2.902754e+05, +2.223229e+05, -4.755509e+05, +1.340601e+06, +1.005205e+06, -2.126000e+06
-6.430587e+05, -4.876117e+05, +1.042290e+06, -2.873682e+06, -2.126000e+06, +4.517211e+06

Timing offsets (from input data):
    UK0026: 0.000000 s
    UK003B: 0.000433 s

Reference point on the trajectory:
  Time: 2021-11-03 00:34:11.252805 UTC
  Lon     = ++0.655566 +/- 0.0020 deg
  Lat     = +55.842038 +/- 0.0057 deg
  Lat geo = +55.665934 +/- 0.0057 deg
  Ht      =  105652.89 +/- 221.58 m

  JD dynamic   = 2459521.524542092811 
  LST apparent = 51.6984844556 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  93.26001 +/- 1.6101 deg
  Dec       = +39.34031 +/- 2.2502 deg
  Azimuth   = 103.47298 +/- 4.3617 deg
  Elevation = +58.15601 +/- 0.9771 deg
  Vavg      =  57.87663 +/- 0.3194 km/s
  Vinit     =  59.32559 +/- 0.3583 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  93.50766 +/- 1.6101 deg
  Dec       = +39.23223 +/- 2.2502 deg
  Azimuth   = 103.36044 +/- 4.3617 deg
  Elevation = +57.94417 +/- 0.9771 deg
  Vavg      =  58.01358 +/- 0.3194 km/s
  Vinit     =  59.46255 +/- 0.3583 km/s
Radiant (geocentric, J2000):
  R.A.   =  93.14766 +/- 1.6141 deg
  Dec    = +39.14226 +/- 2.2735 deg
  Vg     =  58.27778 +/- 0.3650 km/s
  Vinf   =  59.32559 +/- 0.3583 km/s
  Zc     =  31.80337 +/- 0.9653 deg
  Zg     =  32.09424 +/- 0.9787 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  92.53583 +/- 1.3739 deg
  Bg     = +15.73227 +/- 2.2665 deg
  Vh     =  40.89771 +/- 0.2087 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  62.60484 +/- 1.6458 deg
  Bh     = +22.72896 +/- 3.3631 deg
  Vh_x   = -17.35670 +/- 1.3495 km/s
  Vh_y   = -33.49138 +/- 0.0784 km/s
  Vh_z   = -15.80174 +/- 2.2935 km/s
Orbit:
  La Sun = 220.510071 +/- 0.0000 deg
  a      =   7.669031 +/- 1.3428 AU
  e      =   0.966822 +/- 0.0067
  i      = 131.919479 +/- 4.5323 deg
  peri   = 300.838403 +/- 6.0448 deg
  node   = 220.511442 +/- 0.0001 deg
  Pi     = 161.349845 +/- 6.0450 deg
  q      =   0.254441 +/- 0.0389 AU
  f      = 239.162422 +/- 6.0447 deg
  M      = 358.312751 +/- 0.3704 deg
  Q      =  15.083621 +/- 2.7075 AU
  n      =   0.046408 +/- 0.0101 deg/day
  T      =  21.237891 +/- 5.9845 years
  Last perihelion JD = 2451800.606516 (2000-09-13 02:33:22.946623) +/- 2186.7215 days
  Tj     =   0.264267 +/- 0.0850
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +4.541219e-05, -2.524539e-04, -1.091604e+01, +7.964315e-07, +3.929089e-02, +2.823828e-02
q   , -2.524539e-04, +1.577476e-03, +4.691013e+01, -4.799711e-06, -2.440017e-01, -1.748425e-01
Tp  , -1.091604e+01, +4.691013e+01, +4.751437e+06, -1.785651e-01, -7.571469e+03, -5.786790e+03
node, +7.964315e-07, -4.799711e-06, -1.785651e-01, +1.665245e-08, +7.557035e-04, +5.878627e-04
peri, +3.929089e-02, -2.440017e-01, -7.571469e+03, +7.557035e-04, +3.783976e+01, +2.740228e+01
i   , +2.823828e-02, -1.748425e-01, -5.786790e+03, +5.878627e-04, +2.740228e+01, +2.100232e+01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000181
 a2 = 39.892019

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 1.971e-05 s
  Stddev    = 4.44e-03 s

Begin point on the trajectory:
  Lon =     0.636129 +/- 0.0017 deg
  Lat =    55.844656 +/- 0.0049 deg
  Ht  = 103604.36 +/- 186.72 m
End point on the trajectory:
  Lon =     0.477833 +/- 0.0013 deg
  Lat =    55.865663 +/- 0.0040 deg
  Ht  = 87137.41 +/- 144.31 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,   0.000000,   0.000000,   103604.36,    87502.76,          0.010498,      5.69,     61.70,              82.53, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20211103_003409_585_0676608.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,   0.090524,  23.947510,   102682.72,    87137.41,          0.017001,     19.43,    124.48,              80.93, 1.0000,    True,    True, {"ff_name": "FF_UK003B_20211103_003404_886_0667904.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,  0.000000, 2459521.523740886245, 218.75978,  53.12328,                7.64087,  16.59928,         7.61385,       16.61592,    218.75978,     +53.12328,     218.79886,      +53.14322,  2261500.72,  2863363.35,  5342023.27,      55.842087,       +0.655369,  105614.39,  340572.47,       0.00,               45.32,    97.76,      0.00,           56862.32,   -182.19,    -16.78,         110.81,  +4.61,  +1.95
  1,     UK0026,       0,  0.040252, 2459521.523741351906, 219.20763,  52.84287,                7.40043,  16.28600,         7.39376,       16.29010,    219.20763,     +52.84287,     219.21744,      +52.84777,  2261604.79,  2861536.26,  5340523.24,      55.844656,       +0.636129,  103604.36,  340016.65,    2366.26,             2411.57,    76.05,  58786.10,           56862.32,    -44.94,     -4.14,          27.38,  +2.33,  -0.33
  2,     UK0026,       0,  0.080488, 2459521.523741818033, 219.63499,  52.57485,                7.16819,  15.98748,         7.18365,       15.97797,    219.63499,     +52.57485,     219.61300,      +52.56357,  2261704.11,  2859792.60,  5339091.71,      55.847107,       +0.617746,  101686.33,  339500.75,    4624.47,             4669.78,   -52.77,  56124.12,           56862.32,    104.14,      9.62,          63.54,  +1.77,  -0.88
  3,     UK0026,       0,  0.120752, 2459521.523742283694, 219.99224,  52.27263,                6.98163,  15.66102,         6.97418,       15.66560,    219.99224,     +52.27263,     220.00349,      +52.27804,  2261803.14,  2858053.99,  5337664.32,      55.849549,       +0.599403,   99774.05,  339000.61,    6876.14,             6921.46,  -189.78,  55922.75,           56862.32,    -50.15,     -4.63,          30.64,  +1.50,  -1.15
  4,     UK0026,       0,  0.161044, 2459521.523742750287, 220.45091,  51.93406,                6.73242,  15.29180,         6.72706,       15.29510,    220.45091,     +51.93406,     220.45930,      +51.93792,  2261920.15,  2855999.79,  5335977.83,      55.852433,       +0.577744,   97514.93,  338428.38,    9536.52,             9581.84,    80.25,  66027.46,           58578.71,    -36.03,     -3.32,          22.05,  +1.19,  -1.46
  5,     UK0026,       0,  0.201316, 2459521.523743216414, 220.87777,  51.62085,                6.49693,  14.95096,         6.49794,       14.95035,    220.87777,     +51.62085,     220.87717,      +51.62013,  2262028.59,  2854095.86,  5334414.71,      55.855105,       +0.557641,   95421.32,  337915.83,   12002.30,            12047.62,   156.88,  61228.24,           59447.42,      6.74,      0.62,           4.13,  +1.29,  -1.35
  6,     UK0026,       0,  0.241568, 2459521.523743682075, 221.22603,  51.32563,                6.30679,  14.63409,         6.29365,       14.64215,    221.22603,     +51.32563,     221.24591,      +51.33499,  2262125.21,  2852399.60,  5333022.10,      55.857483,       +0.539699,   93556.27,  337473.64,   14199.12,            14244.43,   -34.28,  54576.49,           59235.81,    -88.30,     -8.14,          54.20,  +0.71,  -1.93
  7,     UK0026,       0,  0.281824, 2459521.523744148202, 221.65935,  51.02454,                6.05989,  14.30651,         6.06862,       14.30116,    221.65935,     +51.02454,     221.64801,      +51.01836,  2262231.75,  2850529.09,  5331486.42,      55.860105,       +0.519917,   91499.86,  337002.16,   16621.61,            16666.93,    -0.00,  60177.22,           59226.08,     58.62,      5.41,          36.03,  +0.77,  -1.87
  8,     UK0026,       0,  0.322092, 2459521.523744614329, 222.01698,  50.70834,                5.86058,  13.96952,         5.85337,       13.97393,    222.01698,     +50.70834,     222.02864,      +50.71342,  2262333.66,  2848739.99,  5330017.58,      55.862612,       +0.500974,   89533.18,  336566.93,   18938.67,            18983.98,   -71.87,  57540.84,           59109.18,    -48.39,     -4.47,          29.78,  +0.81,  -1.83
  9,     UK0026,       0,  0.362356, 2459521.523745079990, 222.40247,  50.38989,                5.64063,  13.62925,         5.63125,       13.63499,    222.40247,     +50.38989,     222.41737,      +50.39645,  2262438.88,  2846892.71,  5328500.97,      55.865198,       +0.481407,   87502.76,  336133.84,   21331.08,            21376.39,   -68.15,  59418.08,           59066.52,    -62.91,     -5.80,          38.77,  +1.19,  -1.44
 10,     UK0026,       1,  0.402604, 2459521.523745546117, 222.94489,  50.09437,                5.31266,  13.30375,         5.38590,       13.25892,    222.94489,     +50.09437,     222.84206,      +50.04347,  2262555.24,  2844849.79,  5326823.75,      55.868057,       +0.459768,   85257.60,  335674.28,   23976.85,            24022.17,   189.90,  65736.85,           59346.31,    491.21,     45.58,         303.13,  +3.99,  +1.36
  0,     UK003B,       0,  0.060393, 2459521.523741580080, 207.80646,  47.94735,               14.97107,  11.99260,        14.96500,       11.99646,    207.80646,     +47.94735,     207.81396,      +47.95250,  2261652.51,  2860698.43,  5339835.39,      55.845834,       +0.627296,  102682.72,  428199.13,       0.00,             3496.65,   -33.75,      0.00,           57881.92,    -52.27,     -8.19,          25.49,  +2.50,  -0.66
  1,     UK003B,       0,  0.100685, 2459521.523742046673, 208.20636,  47.70565,               14.76209,  11.69482,        14.76288,       11.69431,    208.20636,     +47.70565,     208.20583,      +47.70498,  2261774.86,  2858550.41,  5338071.88,      55.848852,       +0.604679,  100320.04,  427493.94,    2781.89,             6278.54,   357.80,  69043.34,           57881.92,      6.80,      1.06,           3.32,  +1.50,  -1.65
  2,     UK003B,       0,  0.140917, 2459521.523742512334, 208.49750,  47.50664,               14.61384,  11.45598,        14.60657,       11.46060,    208.49750,     +47.50664,     208.50679,      +47.51277,  2261869.20,  2856894.20,  5336712.14,      55.851178,       +0.587189,   98498.53,  426961.19,    4926.84,             8423.49,   115.96,  53314.49,           57881.92,    -62.50,     -9.80,          30.56,  +1.21,  -1.94
  3,     UK003B,       0,  0.181145, 2459521.523742977995, 208.78775,  47.31083,               14.46406,  11.22071,        14.45168,       11.22857,    208.78775,     +47.31083,     208.80333,      +47.32123,  2261962.60,  2855254.51,  5335365.96,      55.853479,       +0.569860,   96695.36,  426443.76,    7050.41,            10547.05,  -147.02,  52788.21,           57881.92,   -106.34,    -16.67,          52.06,  +1.49,  -1.66
  4,     UK003B,       0,  0.221401, 2459521.523743443657, 209.15927,  47.10182,               14.26095,  10.96058,        14.26972,       10.95501,    209.15927,     +47.10182,     209.14966,      +47.09447,  2262072.37,  2853327.25,  5333783.69,      55.856183,       +0.549507,   94576.20,  425848.88,    9546.39,            13043.04,   -39.25,  62002.72,           58044.68,     75.35,     11.79,          36.94,  +0.35,  -2.80
  5,     UK003B,       0,  0.261669, 2459521.523743909784, 209.52265,  46.87639,               14.06510,  10.68625,        14.08360,       10.67451,    209.52265,     +46.87639,     209.50153,      +46.86097,  2262184.57,  2851357.43,  5332166.48,      55.858944,       +0.528691,   92410.50,  425255.27,   12097.50,            15594.15,   122.94,  63353.39,           58849.98,    158.68,     24.79,          77.90,  +0.50,  -2.64
  6,     UK003B,       0,  0.301921, 2459521.523744375911, 209.80639,  46.65019,               13.92175,  10.42341,        13.91852,       10.42546,    209.80639,     +46.65019,     209.81153,      +46.65287,  2262283.90,  2849613.57,  5330734.78,      55.861388,       +0.510229,   90493.44,  424741.59,   14355.97,            17852.62,    -6.57,  56108.25,           58843.75,    -27.67,     -4.33,          13.60,  +0.10,  -3.04
  7,     UK003B,       0,  0.342121, 2459521.523744841106, 210.07994,  46.48268,               13.77124,  10.21969,        13.77893,       10.21481,    210.07994,     +46.48268,     210.07213,      +46.47631,  2262367.71,  2848142.24,  5329526.82,      55.863449,       +0.494617,   88876.11,  424316.69,   16261.49,            19758.14,  -485.94,  47400.95,           57888.90,     65.83,     10.29,          32.39,  +0.57,  -2.57
  8,     UK003B,       0,  0.382329, 2459521.523745306302, 210.39032,  46.31361,               13.59470,  10.00946,        13.62885,        9.98779,    210.39032,     +46.31361,     210.35084,      +46.28541,  2262457.81,  2846560.33,  5328228.09,      55.865663,       +0.477833,   87137.41,  423869.19,   18310.21,            21806.86,  -822.58,  50953.09,           56981.33,    292.41,     45.58,         144.01,  +2.73,  -0.41

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.