Orbital Analysis for matched events on 20210813_234210.942_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.31° Bg 37.17° Vg 59.73km/s
mass 0.12073g, abs. mag -1.9
Path Details
------------
start 0.24° 49.27° 107.74km
end   0.09° 49.17° 94.55km

Orbit Details
-------------
Semimajor axis 11.17A.U., eccentricity 0.91, inclination 115.81°, Period 37.35Y, LA Sun 141.14°, last Perihelion 2021-07-27

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: 2459440.487626644783
Time: 2021-08-13 23:42:10.958565 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK002N
 Convergence angle = 11.47832 deg
 R.A. =  42.83911  Dec = +55.65566 deg

Best intersection: Stations UK002D and UK002N with Qconv = 11.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3171714.69 +/- 358.33 m
 Y =  -2814419.72 +/- 137.36 m
 Z =   4892189.77 +/- 86.84 m
 Vx =    23171.91 +/- 1648.98 m/s
 Vy =    24047.11 +/- 707.85 m/s
 Vz =    50751.59 +/- 529.56 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.302589e+05, -4.814984e+04, -2.281503e+04, +5.308761e+05, -2.279060e+05, -1.590289e+05
-4.814984e+04, +1.949901e+04, +1.001922e+04, -1.979770e+05, +8.826562e+04, +5.760976e+04
-2.281503e+04, +1.001922e+04, +7.810674e+03, -9.602794e+04, +3.995213e+04, +2.908298e+04
+5.308761e+05, -1.979770e+05, -9.602794e+04, +2.605248e+06, -1.117776e+06, -8.140629e+05
-2.279060e+05, +8.826562e+04, +3.995213e+04, -1.117776e+06, +4.982945e+05, +3.403853e+05
-1.590289e+05, +5.760976e+04, +2.908298e+04, -8.140629e+05, +3.403853e+05, +2.607601e+05

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK002N: 0.000483 s

Reference point on the trajectory:
  Time: 2021-08-13 23:42:10.958565 UTC
  Lon     = ++0.246608 +/- 0.0019 deg
  Lat     = +49.269665 +/- 0.0028 deg
  Lat geo = +49.082463 +/- 0.0028 deg
  Ht      =  108175.09 +/- 188.39 m

  JD dynamic   = 2459440.488427576143 
  LST apparent = 318.4157662037 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  46.06185 +/- 2.7495 deg
  Dec       = +56.65503 +/- 0.7960 deg
  Azimuth   =  46.12963 +/- 1.9200 deg
  Elevation = +40.37368 +/- 0.9211 deg
  Vavg      =  59.69377 +/- 0.0609 km/s
  Vinit     =  60.75298 +/- 0.0737 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  46.08344 +/- 2.7495 deg
  Dec       = +56.41230 +/- 0.7960 deg
  Azimuth   =  46.39363 +/- 1.9200 deg
  Elevation = +40.23758 +/- 0.9211 deg
  Vavg      =  59.86414 +/- 0.0609 km/s
  Vinit     =  60.92336 +/- 0.0737 km/s
Radiant (geocentric, J2000):
  R.A.   =  46.35217 +/- 2.7597 deg
  Dec    = +56.33830 +/- 0.7891 deg
  Vg     =  59.73100 +/- 0.0750 km/s
  Vinf   =  60.75298 +/- 0.0737 km/s
  Zc     =  49.75620 +/- 0.9256 deg
  Zg     =  50.20693 +/- 0.9344 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.30847 +/- 2.1536 deg
  Bg     = +37.16568 +/- 0.2303 deg
  Vh     =  40.88997 +/- 0.3232 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  76.00459 +/- 5.3107 deg
  Bh     = +61.94444 +/- 0.3665 deg
  Vh_x   =  -4.65107 +/- 1.5847 km/s
  Vh_y   = -18.66079 +/- 0.8308 km/s
  Vh_z   = -36.08507 +/- 0.2176 km/s
Orbit:
  La Sun = 141.136931 +/- nan deg
  a      =  11.172846 +/- 11.8511 AU
  e      =   0.913043 +/- 0.0303
  i      = 115.805379 +/- 0.5885 deg
  peri   = 156.085289 +/- 4.7427 deg
  node   = 141.135757 +/- 0.0000 deg
  Pi     = 297.221046 +/- 4.7427 deg
  q      =   0.971561 +/- 0.0146 AU
  f      =  23.910728 +/- 4.7427 deg
  M      =   0.455936 +/- 0.1192 deg
  Q      =  21.374131 +/- 23.7128 AU
  n      =   0.026391 +/- 0.0127 deg/day
  T      =  37.346193 +/- 106.3893 years
  Last perihelion JD = 2459423.212349 (2021-07-27 17:05:46.991694) +/- 3.1618 days
  Tj     =  -0.054501 +/- 0.1449
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +9.367776e-04, -4.370616e-04, -9.114665e-02, +2.354084e-08, -2.417040e-03, -3.054793e-04
q   , -4.370616e-04, +2.187939e-04, +4.623894e-02, -1.093414e-08, +1.220280e-03, +1.418991e-04
Tp  , -9.114665e-02, +4.623894e-02, +1.011827e+01, -2.358891e-06, +2.650233e-01, +3.057239e-02
node, +2.354084e-08, -1.093414e-08, -2.358891e-06, +6.287679e-13, -6.212130e-08, -8.148975e-09
peri, -2.417040e-03, +1.220280e-03, +2.650233e-01, -6.212130e-08, +6.953241e-03, +8.053438e-04
i   , -3.054793e-04, +1.418991e-04, +3.057239e-02, -8.148975e-09, +8.053438e-04, +1.056182e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000120
 a2 = 41.571290

Mean time residuals from time vs. length:
  Station with reference time: UK002D
  Avg. res. = 3.752e-06 s
  Stddev    = 1.94e-03 s

Begin point on the trajectory:
  Lon =     0.241667 +/- 0.0015 deg
  Lat =    49.266558 +/- 0.0028 deg
  Ht  = 107743.87 +/- 149.45 m
End point on the trajectory:
  Lon =     0.088837 +/- 0.0016 deg
  Lat =    49.171029 +/- 0.0024 deg
  Ht  = 94550.11 +/- 135.32 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   107033.37,    94550.11,          0.017676,     87.26,     26.60,              82.21, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_234202_967_0317696.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.084340,  22.768865,   107743.87,    95318.90,          0.009920,     44.60,      4.29,              89.34, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_234205_665_0325120.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,     UK002D,       1,  0.000000, 2459440.487626644783, 348.00929, -12.87934,              146.99561,  20.13498,       146.99953,       20.13912,    348.00929,     -12.87934,     348.00420,      -12.87675,  3171706.12, -2814428.61,  4892171.00,      49.269561,       +0.246510,  108160.54,  296419.95,       0.00,               22.46,   578.78,      0.00,           56002.07,     -8.37,    -27.42,          19.95,  +4.65,  +2.29
  1,     UK002D,       0,  0.040220, 2459440.487627110444, 347.80701, -13.15533,              147.29446,  19.94474,       147.26801,       19.91687,    347.80701,     -13.15533,     347.84098,      -13.17286,  3171042.38, -2815117.42,  4890717.25,      49.261435,       +0.233427,  107033.37,  296249.68,    1740.23,             1762.69,  -124.48,  43267.76,           56002.07,     56.23,    184.76,         134.46,  +3.60,  +1.24
  2,     UK002D,       0,  0.080624, 2459440.487627577968, 347.58776, -13.64253,              147.68578,  19.56106,       147.68929,       19.56475,    347.58776,     -13.64253,     347.58353,      -13.64020,  3169995.50, -2816203.85,  4888424.35,      49.248610,       +0.212889,  105256.09,  296005.23,    4484.98,             4507.45,   165.61,  67932.74,           56002.07,     -7.46,    -24.46,          17.82,  +1.81,  -0.55
  3,     UK002D,       0,  0.120920, 2459440.487628044561, 347.38983, -14.00642,              148.00932,  19.28493,       148.01521,       19.29111,    347.38983,     -14.00642,     347.38272,      -14.00251,  3169184.77, -2817045.20,  4886648.68,      49.238671,       +0.196946,  103880.17,  295832.05,    6610.58,             6633.04,  -156.89,  52749.56,           56002.07,    -12.52,    -41.03,          29.91,  +1.42,  -0.94
  4,     UK002D,       0,  0.161256, 2459440.487628511153, 347.14937, -14.42384,              148.39139,  18.97145,       148.39223,       18.97233,    347.14937,     -14.42384,     347.14889,      -14.42327,  3168243.80, -2818021.71,  4884587.74,      49.227127,       +0.178467,  102283.70,  295651.13,    9077.66,             9100.13,  -140.34,  61163.29,           57107.65,     -1.79,     -5.87,           4.28,  +1.36,  -0.99
  5,     UK002D,       0,  0.201632, 2459440.487628978677, 346.89694, -14.88396,              148.79782,  18.62029,       148.80134,       18.62396,    346.89694,     -14.88396,     346.89319,      -14.88161,  3167219.38, -2819084.82,  4882344.04,      49.214550,       +0.158365,  100546.28,  295478.08,   11763.52,            11785.98,    92.55,  66521.04,           58770.14,     -7.46,    -24.46,          17.85,  +1.18,  -1.17
  6,     UK002D,       0,  0.241948, 2459440.487629445270, 346.67916, -15.27326,              149.14369,  18.32337,       149.14771,       18.32755,    346.67916,     -15.27326,     346.67493,      -15.27058,  3166350.49, -2819986.52,  4880440.99,      49.203874,       +0.141289,   99073.11,  295349.59,   14041.59,            14064.06,   -78.69,  56505.57,           59120.90,     -8.52,    -27.93,          20.39,  +0.92,  -1.43
  7,     UK002D,       0,  0.282300, 2459440.487629912328, 346.44432, -15.70528,              149.51876,  17.99045,       149.52796,       18.00001,    346.44432,     -15.70528,     346.43358,      -15.69912,  3165393.39, -2820979.77,  4878344.73,      49.192106,       +0.122495,   97450.92,  295229.02,   16550.96,            16573.42,   -20.83,  62186.77,           59522.67,    -19.50,    -63.92,          46.69,  +0.96,  -1.39
  8,     UK002D,       0,  0.322640, 2459440.487630379386, 346.20499, -16.12770,              149.89255,  17.66673,       149.90169,       17.67622,    346.20499,     -16.12770,     346.19448,      -16.12157,  3164450.03, -2821958.77,  4876278.54,      49.180497,       +0.103968,   95852.54,  295131.04,   19024.32,            19046.78,     1.75,  61312.86,           59829.49,    -19.35,    -63.43,          46.35,  +0.94,  -1.41
  9,     UK002D,       0,  0.362928, 2459440.487630845513, 346.02489, -16.48049,              150.18421,  17.38926,       150.20588,       17.41170,    346.02489,     -16.48049,     345.99836,      -16.46595,  3163681.11, -2822756.73,  4874594.45,      49.171029,       +0.088837,   94550.11,  295065.54,   21040.28,            21062.74,  -429.90,  50038.80,           59452.29,    -45.90,   -150.29,         109.85,  +2.18,  -0.17
  0,     UK002N,       0,  0.016904, 2459440.487626835238, 334.05086, -13.52492,              162.34308,  23.61469,       162.34144,       23.61330,    334.05086,     -13.52492,     334.05266,      -13.52599,  3171460.78, -2814683.22,  4891633.65,      49.266558,       +0.241667,  107743.87,  258071.00,       0.00,              665.70,   195.06,      0.00,           60520.59,      0.89,      9.20,           7.39,  +2.17,  +0.11
  1,     UK002N,       0,  0.057160, 2459440.487627301365, 333.79747, -13.91606,              162.68884,  23.27859,       162.68495,       23.27530,    333.79747,     -13.91606,     333.80190,      -13.91860,  3170668.96, -2815504.95,  4889899.38,      49.256862,       +0.226093,  106399.34,  258139.06,    2076.04,             2741.74,  -174.57,  51570.94,           60520.59,      2.10,     21.79,          17.50,  +1.88,  -0.18
  2,     UK002N,       0,  0.097476, 2459440.487627767958, 333.47131, -14.40596,              163.12733,  22.85756,       163.11536,       22.84746,    333.47131,     -14.40596,     333.48479,      -14.41382,  3169668.67, -2816543.02,  4887708.53,      49.244604,       +0.206461,  104701.37,  258249.84,    4698.63,             5364.33,    -1.30,  65050.81,           60520.59,      6.44,     67.11,          53.85,  +1.25,  -0.81
  3,     UK002N,       0,  0.137792, 2459440.487628234550, 333.16175, -14.88836,              163.54317,  22.43908,       163.53200,       22.42969,    333.16175,     -14.88836,     333.17453,      -14.89570,  3168693.57, -2817554.95,  4885572.85,      49.232646,       +0.187319,  103046.74,  258383.45,    7255.18,             7920.89,   105.94,  63412.95,           60520.59,      6.01,     62.65,          50.24,  +1.05,  -1.01
  4,     UK002N,       0,  0.178092, 2459440.487628700677, 332.89045, -15.33792,              163.90965,  22.04457,       163.91159,       22.04620,    332.89045,     -15.33792,     332.88899,      -15.33664,  3167799.65, -2818482.63,  4883614.96,      49.221675,       +0.169757,  101530.35,  258527.95,    9598.90,            10264.60,     1.31,  58156.62,           60488.03,     -1.05,    -10.90,           8.74,  +0.67,  -1.39
  5,     UK002N,       0,  0.218388, 2459440.487629167270, 332.59937, -15.79190,              164.29395,  21.64773,       164.29884,       21.65183,    332.59937,     -15.79190,     332.59482,      -15.78866,  3166881.35, -2819435.61,  4881603.68,      49.210397,       +0.151719,   99973.11,  258698.61,   12006.53,            12672.24,   -39.16,  59748.75,           60373.13,     -2.65,    -27.50,          22.03,  +0.49,  -1.57
  6,     UK002N,       0,  0.258688, 2459440.487629633863, 332.28413, -16.25611,              164.70130,  21.24332,       164.69876,       21.24120,    332.28413,     -16.25611,     332.28796,      -16.25779,  3165926.07, -2820426.98,  4879511.40,      49.198656,       +0.132961,   98353.69,  258900.03,   14511.13,            15176.83,    17.09,  62148.79,           60522.34,      1.38,     14.31,          11.45,  +0.64,  -1.43
  7,     UK002N,       0,  0.298968, 2459440.487630099989, 331.99416, -16.68579,              165.07326,  20.86721,       165.06619,       20.86131,    331.99416,     -16.68579,     332.00317,      -16.69050,  3165042.78, -2821343.63,  4877576.81,      49.187792,       +0.115604,   96856.80,  259107.56,   16826.96,            17492.66,  -114.21,  57493.35,           60332.23,      3.83,     39.88,          31.89,  +0.54,  -1.53
  8,     UK002N,       0,  0.339272, 2459440.487630566582, 331.72391, -17.14336,              165.42717,  20.45908,       165.44115,       20.47073,    331.72391,     -17.14336,     331.70972,      -17.13403,  3164135.01, -2822285.69,  4875588.58,      49.176619,       +0.097770,   95318.90,  259342.41,   19207.00,            19872.71,  -182.75,  59052.31,           60158.17,     -7.62,    -79.00,          63.13,  +0.84,  -1.23

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.