Orbital Analysis for matched events on 20210929_043505.837_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 71.33° Bg 0.34° Vg 64.37km/s
mass 0.00898g, abs. mag 0.5
Path Details
------------
start -1.77° 52.16° 100.93km
end   -1.75° 52.22° 90.10km

Orbit Details
-------------
Semimajor axis 4.52A.U., eccentricity 0.89, inclination 179.24°, Period 9.60Y, LA Sun 185.96°, last Perihelion 2012-04-03

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: 2459486.691039789468
Time: 2021-09-29 04:35:05.837810 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK003R
 Convergence angle = 19.22792 deg
 R.A. =  70.83841  Dec = +24.24264 deg
Intersection 2 - Stations: UK000S and UK003X
 Convergence angle = 24.88943 deg
 R.A. =  70.85270  Dec = +23.50738 deg
Intersection 3 - Stations: UK003R and UK003X
 Convergence angle = 5.66814 deg
 R.A. =  69.78776  Dec = +21.26096 deg

Best intersection: Stations UK000S and UK003X with Qconv = 24.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1019373.36 +/- 32.95 m
 Y =   3850059.25 +/- 35.45 m
 Z =   5093578.96 +/- 141.39 m
 Vx =    20519.56 +/- 423.56 m/s
 Vy =    56648.48 +/- 334.98 m/s
 Vz =    25243.71 +/- 778.25 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.164525e+03, -1.023553e+03, -4.657929e+03, +8.762993e+03, +2.216513e+03, -2.210982e+04
-1.023553e+03, +1.326586e+03, +4.759724e+03, -1.016217e+04, -2.846845e+03, +2.571128e+04
-4.657929e+03, +4.759724e+03, +2.114819e+04, -3.731714e+04, -1.154384e+04, +1.011626e+05
+8.762993e+03, -1.016217e+04, -3.731714e+04, +1.192141e+05, +2.639934e+04, -2.574316e+05
+2.216513e+03, -2.846845e+03, -1.154384e+04, +2.639934e+04, +1.091522e+04, -7.117470e+04
-2.210982e+04, +2.571128e+04, +1.011626e+05, -2.574316e+05, -7.117470e+04, +6.269180e+05

Timing offsets (from input data):
    UK000S: 0.000607 s
    UK003R: 0.000254 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:35:05.837810 UTC
  Lon     = +-1.767649 +/- 0.0006 deg
  Lat     = +52.161461 +/- 0.0006 deg
  Lat geo = +51.977778 +/- 0.0006 deg
  Ht      =  100914.24 +/- 126.15 m

  JD dynamic   = 2459486.691840530373 
  LST apparent = 75.1701819485 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  70.08828 +/- 0.2836 deg
  Dec       = +22.73273 +/- 0.6928 deg
  Azimuth   = 189.49492 +/- 0.4057 deg
  Elevation = +60.31296 +/- 0.7131 deg
  Vavg      =  60.74530 +/- 0.2397 km/s
  Vinit     =  65.32494 +/- 0.1422 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  70.36350 +/- 0.2836 deg
  Dec       = +22.74122 +/- 0.6928 deg
  Azimuth   = 188.98689 +/- 0.4057 deg
  Elevation = +60.34851 +/- 0.7131 deg
  Vavg      =  60.72221 +/- 0.2397 km/s
  Vinit     =  65.30185 +/- 0.1422 km/s
Radiant (geocentric, J2000):
  R.A.   =  69.73610 +/- 0.2835 deg
  Dec    = +22.47133 +/- 0.6996 deg
  Vg     =  64.37434 +/- 0.1443 km/s
  Vinf   =  65.32494 +/- 0.1422 km/s
  Zc     =  29.50589 +/- 0.7133 deg
  Zg     =  29.72706 +/- 0.7197 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.33389 +/- 0.3467 deg
  Bg     =  +0.33709 +/- 0.6610 deg
  Vh     =  39.68281 +/- 0.0647 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  52.47276 +/- 0.5884 deg
  Bh     =  +0.55010 +/- 1.0799 deg
  Vh_x   = -24.17121 +/- 0.3364 km/s
  Vh_y   = -31.46955 +/- 0.2366 km/s
  Vh_z   =  -0.38099 +/- 0.7471 km/s
Orbit:
  La Sun = 185.963735 +/- nan deg
  a      =   4.517817 +/- 0.1150 AU
  e      =   0.890202 +/- 0.0033
  i      = 179.242318 +/- 1.4395 deg
  peri   = 274.079472 +/- 1.2735 deg
  node   = 185.919641 +/- 0.0243 deg
  Pi     =  99.999113 +/- 1.2551 deg
  q      =   0.496047 +/- 0.0111 AU
  f      = 265.874360 +/- 1.2921 deg
  M      = 355.717925 +/- 0.1775 deg
  Q      =   8.539587 +/- 0.2273 AU
  n      =   0.102639 +/- 0.0040 deg/day
  T      =   9.602705 +/- 0.3646 years
  Last perihelion JD = 2456020.962579 (2012-04-03 11:06:06.837372) +/- 133.2678 days
  Tj     =   0.303099 +/- 0.0336
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.101736e-05, -1.812540e-05, -3.081449e-01, -2.310605e-07, +3.149733e-05, +3.254994e-05
q   , -1.812540e-05, +1.267394e-04, -4.750719e-01, +3.874567e-06, -2.546301e-04, -2.798883e-04
Tp  , -3.081449e-01, -4.750719e-01, +1.858249e+04, -2.832577e-02, +1.174582e+00, +1.379775e+00
node, -2.310605e-07, +3.874567e-06, -2.832577e-02, +2.055644e-07, -7.904364e-06, -8.796335e-06
peri, +3.149733e-05, -2.546301e-04, +1.174582e+00, -7.904364e-06, +5.145086e-04, +5.667632e-04
i   , +3.254994e-05, -2.798883e-04, +1.379775e+00, -8.796335e-06, +5.667632e-04, +6.508128e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.046398
 a2 = 46.478072

Mean time residuals from time vs. length:
  Station with reference time: UK003X
  Avg. res. = 1.637e-06 s
  Stddev    = 1.28e-03 s

Begin point on the trajectory:
  Lon =    -1.767669 +/- 0.0006 deg
  Lat =    52.161387 +/- 0.0006 deg
  Ht  = 100929.12 +/- 124.51 m
End point on the trajectory:
  Lon =    -1.753980 +/- 0.0005 deg
  Lat =    52.215338 +/- 0.0006 deg
  Ht  = 90104.14 +/- 41.07 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,    98657.22,    90104.14,          0.020817,     31.92,     55.79,              83.00, 0.9851,    True,    True, {"ff_name": "FF_UK000S_20210929_043507_329_0908288.fits"}
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,    99749.39,    91034.57,          0.012748,     12.84,     28.33,              71.66, 0.9010,    True,    True, {"ff_name": "FF_UK003R_20210929_043505_854_0519168.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   100929.12,    90224.12,          0.010535,      9.48,     20.00,              59.67, 0.7451,    True,    True, {"ff_name": "FF_UK003X_20210929_043501_956_0911360.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,     UK000S,       0,  0.047304, 2459486.691040680278, 254.17354,  72.25907,                0.35873,  33.11849,         0.35669,       33.11836,    254.17354,     +72.25907,     254.17948,      +72.25896,  1018557.24,  3847806.19,  5092574.96,      52.172693,       -1.764915,   98657.22,  177405.57,       0.00,             2598.14,   -15.67,      0.00,           61896.37,     -4.61,     -2.64,           6.18,  +2.77,  +1.53
  1,     UK000S,       0,  0.087996, 2459486.691041151527, 253.95723,  71.45462,                0.45248,  32.31508,         0.42757,       32.31343,    253.95723,     +71.45462,     254.02397,      +71.45329,  1017769.82,  3845632.34,  5091606.24,      52.183537,       -1.762133,   96479.78,  177203.16,    2506.80,             5104.94,  -167.07,  61604.33,           61896.37,    -56.70,    -32.41,          76.02,  +3.36,  +2.12
  2,     UK000S,       0,  0.169528, 2459486.691042094957, 253.76681,  69.68080,                0.56151,  30.54257,         0.57994,       30.54380,    253.76681,     +69.68080,     253.72190,      +69.68173,  1016044.10,  3840868.16,  5089483.23,      52.207329,       -1.755994,   91708.51,  176882.95,    8000.68,            10598.82,     0.73,  67383.12,           61896.37,     42.64,     24.40,          57.28,  +1.39,  +0.15
  3,     UK000S,       0,  0.210040, 2459486.691042563878, 253.72349,  69.08280,                0.59166,  29.94495,         0.62861,       29.94741,    253.72349,     +69.08280,     253.63469,      +69.08465,  1015463.74,  3839265.96,  5088769.25,      52.215338,       -1.753980,   90104.14,  176813.41,    9848.29,            12446.43,  -798.11,  45606.31,           61896.37,     86.01,     49.23,         115.61,  +2.81,  +1.57
  0,     UK003R,       0,  0.026300, 2459486.691040281206, 177.22900,  71.96271,               25.03649,  44.45144,        25.02733,       44.45238,    177.22900,     +71.96271,     177.23759,      +71.96878,  1018952.17,  3848896.47,  5093060.81,      52.167257,       -1.766250,   99749.39,  141075.09,       0.00,             1340.87,    99.19,      0.00,           65530.55,    -14.81,     -6.71,          23.77,  +2.15,  +1.40
  1,     UK003R,       0,  0.067172, 2459486.691040754318, 180.14069,  71.53875,               24.84694,  43.45533,        24.82383,       43.45771,    180.14069,     +71.53875,     180.16450,      +71.55398,  1018144.81,  3846667.58,  5092067.57,      52.178372,       -1.763396,   97516.70,  140365.01,    2570.27,             3911.14,    -0.50,  62885.91,           65530.55,    -37.81,    -17.14,          61.00,  +2.04,  +1.30
  2,     UK003R,       0,  0.107972, 2459486.691041226499, 182.71479,  71.12147,               24.66352,  42.54159,        24.64219,       42.54378,    182.71479,     +71.12147,     182.73866,      +71.13543,  1017410.06,  3844639.16,  5091163.66,      52.188494,       -1.760811,   95485.03,  139756.38,    4909.37,             6250.24,  -326.66,  57330.85,           65530.55,    -35.25,    -15.98,          57.12,  +2.65,  +1.92
  3,     UK003R,       0,  0.149100, 2459486.691041702405, 186.13571,  70.47822,               24.41692,  41.25897,        24.39842,       41.26086,    186.13571,     +70.47822,     186.15845,      +70.49016,  1016389.74,  3841822.35,  5089908.43,      52.202561,       -1.757151,   92664.04,  138973.45,    8157.61,             9498.49,   234.90,  78978.88,           65530.55,    -31.01,    -14.05,          50.53,  +1.51,  +0.80
  4,     UK003R,       0,  0.189756, 2459486.691042173188, 188.04148,  70.08301,               24.26585,  40.51293,        24.25835,       40.51370,    188.04148,     +70.08301,     188.05165,      +70.08780,  1015800.32,  3840195.15,  5089183.32,      52.210693,       -1.755105,   91034.57,  138552.28,   10034.04,            11374.91,  -544.53,  46153.62,           62758.04,    -12.67,     -5.74,          20.70,  +1.11,  +0.40
  0,     UK003X,       0,  0.000000, 2459486.691039789468, 138.91113,  67.76000,               37.45921,  55.88069,        37.42145,       55.88660,    138.91113,     +67.76000,     138.90035,      +67.78160,  1019378.74,  3850074.10,  5093585.58,      52.161387,       -1.767669,  100929.12,  121314.00,       0.00,               17.13,   493.47,      0.00,           59636.26,    -42.07,    -19.94,          79.16,  +2.60,  +2.18
  1,     UK003X,       0,  0.040748, 2459486.691040261183, 141.37585,  67.93974,               36.97601,  54.97483,        36.96935,       54.97587,    141.37585,     +67.93974,     141.37447,      +67.94366,  1018665.00,  3848103.68,  5092707.52,      52.171209,       -1.765167,   98955.22,  120227.10,    2272.22,             2255.09,    69.57,  55762.62,           59636.26,     -7.51,     -3.56,          14.26,  +1.73,  +1.33
  2,     UK003X,       0,  0.081580, 2459486.691040733829, 144.12704,  68.08609,               36.48259,  53.97481,        36.49609,       53.97271,    144.12704,     +68.08609,     144.12963,      +68.07792,  1017894.82,  3845977.45,  5091760.03,      52.181815,       -1.762452,   96825.44,  119092.02,    4724.11,             4706.98,  -145.89,  60048.31,           59636.26,     15.43,      7.31,          29.58,  +1.74,  +1.36
  3,     UK003X,       0,  0.122476, 2459486.691041206941, 147.10627,  68.17581,               36.00526,  52.89850,        36.01463,       52.89704,    147.10627,     +68.17581,     147.10763,      +68.16998,  1017086.25,  3843745.23,  5090765.31,      52.192957,       -1.759588,   94589.72,  117943.62,    7298.22,             7281.10,  -243.30,  62942.98,           59636.26,     10.86,      5.15,          21.02,  +1.96,  +1.60
  4,     UK003X,       0,  0.163524, 2459486.691041681916, 150.58927,  68.20917,               35.48445,  51.64418,        35.48524,       51.64406,    150.58927,     +68.20917,     150.58995,      +68.20867,  1016165.38,  3841202.98,  5089632.43,      52.205656,       -1.756300,   92043.79,  116691.65,   10229.85,            10212.72,     6.87,  71419.43,           62350.45,      0.94,      0.44,           1.83,  +0.58,  +0.24
  5,     UK003X,       0,  0.204292, 2459486.691042154096, 153.12336,  68.18433,               35.12828,  50.72956,        35.11593,       50.73147,    153.12336,     +68.18433,     153.12516,      +68.19237,  1015507.15,  3839385.78,  5088822.65,      52.214739,       -1.753995,   90224.12,  115832.68,   12325.38,            12308.25,  -560.77,  51401.33,           61563.05,    -14.71,     -6.97,          28.98,  +1.10,  +0.78

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.