Orbital Analysis for matched events on 20210810_021552.581_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 61.40° Bg 39.84° Vg 59.37km/s
mass 0.02701g, abs. mag -1.0
Path Details
------------
start 2.91° 53.45° 107.77km
end   2.83° 53.42° 94.66km

Orbit Details
-------------
Semimajor axis -27.64A.U., eccentricity 1.03, inclination 111.31°, Period 1000000000.00Y, LA Sun 137.40°, 

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459436.594358585309
Time: 2021-08-10 02:15:52.621923 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 22.00652 deg
 R.A. =  44.35754  Dec = +59.72750 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 22.01 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3860275.35 +/- 126.77 m
 Y =   -291899.36 +/- 306.55 m
 Z =   5188343.89 +/- 161.42 m
 Vx =    22133.15 +/- 789.20 m/s
 Vy =    21870.91 +/- 1626.08 m/s
 Vz =    51763.85 +/- 1919.62 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.412656e+04, +5.963447e+04, +4.889545e+03, +8.026907e+04, +6.454239e+04, +2.551764e+04
+5.963447e+04, +1.474006e+05, +1.208566e+04, +1.984039e+05, +1.595317e+05, +6.307285e+04
+4.889545e+03, +1.208566e+04, +9.909263e+02, +1.626751e+04, +1.308031e+04, +5.171464e+03
+8.026907e+04, +1.984039e+05, +1.626751e+04, +2.670551e+05, +2.147325e+05, +8.489718e+04
+6.454239e+04, +1.595317e+05, +1.308031e+04, +2.147325e+05, +1.726612e+05, +6.826375e+04
+2.551764e+04, +6.307285e+04, +5.171464e+03, +8.489718e+04, +6.826375e+04, +2.698893e+04

Timing offsets (from input data):
    UK002K: 0.000429 s
    UK0032: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:15:52.621923 UTC
  Lon     = ++2.920282 +/- 0.0046 deg
  Lat     = +53.452630 +/- 0.0004 deg
  Lat geo = +53.271448 +/- 0.0004 deg
  Ht      =  109053.88 +/- 186.46 m

  JD dynamic   = 2459436.595159790944 
  LST apparent = 355.6757399736 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  44.65856 +/- 1.2161 deg
  Dec       = +58.98921 +/- 0.8757 deg
  Azimuth   =  58.44307 +/- 1.6353 deg
  Elevation = +62.85880 +/- 0.7695 deg
  Vavg      =  59.33423 +/- 1.3015 km/s
  Vinit     =  60.39627 +/- 1.6834 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.99738 +/- 1.2161 deg
  Dec       = +58.81590 +/- 0.8757 deg
  Azimuth   =  58.74764 +/- 1.6353 deg
  Elevation = +62.65576 +/- 0.7695 deg
  Vavg      =  59.44453 +/- 1.3015 km/s
  Vinit     =  60.50656 +/- 1.6834 km/s
Radiant (geocentric, J2000):
  R.A.   =  44.69649 +/- 1.1920 deg
  Dec    = +58.86335 +/- 0.8831 deg
  Vg     =  59.36803 +/- 1.7130 km/s
  Vinf   =  60.39627 +/- 1.6834 km/s
  Zc     =  27.23643 +/- 0.7652 deg
  Zg     =  27.47477 +/- 0.7594 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  61.39908 +/- 0.3687 deg
  Bg     = +39.84089 +/- 1.0398 deg
  Vh     =  42.21763 +/- 1.1338 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  83.29884 +/- 1.7907 deg
  Bh     = +64.28238 +/- 2.1935 deg
  Vh_x   =  -2.13775 +/- 0.7289 km/s
  Vh_y   = -18.19460 +/- 1.8508 km/s
  Vh_z   = -38.03570 +/- 0.4698 km/s
Orbit:
  La Sun = 137.399666 +/- -0.0000 deg
  a      = -27.637229 +/- 42.0623 AU
  e      =   1.034346 +/- 0.1012
  i      = 111.313661 +/- 2.3007 deg
  peri   = 151.022431 +/- 0.8684 deg
  node   = 137.399822 +/- 0.0002 deg
  Pi     = 288.422253 +/- 0.8684 deg
  q      =   0.949218 +/- 0.0036 AU
  f      =  28.973927 +/- 0.8684 deg
  M      =        nan +/- nan deg
  Q      = -56.223676 +/- 84.1256 AU
  n      =   0.006784 +/- 0.0298 deg/day
  T      = 1000000000.000000 +/- 339934629.3045 years
  Last perihelion JD = NaN 
  Tj     =  -0.631117 +/- 0.6105
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.108038e-04, +3.324181e-05, +7.989130e-03, -1.581639e-08, +1.774693e-04, +2.436684e-04
q   , +3.324181e-05, +5.241924e-06, +1.259812e-03, -2.494097e-09, +2.798526e-05, +3.842425e-05
Tp  , +7.989130e-03, +1.259812e-03, +3.027753e-01, -5.994159e-07, +6.725805e-03, +9.234646e-03
node, -1.581639e-08, -2.494097e-09, -5.994159e-07, +1.186687e-12, -1.331533e-08, -1.828218e-08
peri, +1.774693e-04, +2.798526e-05, +6.725805e-03, -1.331533e-08, +1.494060e-04, +2.051370e-04
i   , +2.436684e-04, +3.842425e-05, +9.234646e-03, -1.828218e-08, +2.051370e-04, +2.816566e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -2.391520
 a2 = 14.706161

Mean time residuals from time vs. length:
  Station with reference time: UK0032
  Avg. res. = 1.920e-06 s
  Stddev    = 1.39e-03 s

Begin point on the trajectory:
  Lon =     2.911989 +/- 0.0042 deg
  Lat =    53.449590 +/- 0.0002 deg
  Ht  = 107771.45 +/- 147.83 m
End point on the trajectory:
  Lon =     2.826029 +/- 0.0037 deg
  Lat =    53.418385 +/- 0.0002 deg
  Ht  = 94655.56 +/- 132.90 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,   0.000000,   0.000000,   107758.62,    95333.38,          0.010287,      6.77,     42.90,              41.37, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210810_021542_601_0528640.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   107771.45,    94655.56,          0.027088,     55.26,     91.55,              34.75, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210810_021550_113_0535040.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,     UK002K,       0,  0.031256, 2459436.594358942006,  65.95177,  19.18772,               91.22666,  25.02376,        91.24569,       25.03106,     65.95177,     +19.18772,      65.93284,      +19.18255,  3859741.94,  -292426.45,  5187096.37,      53.449560,       +2.911946,  107758.62,  245587.19,       0.00,             1455.56,   412.25,      0.00,           57867.29,    -79.28,     12.55,          67.41,  +2.99,  +1.04
  1,     UK002K,       0,  0.071520, 2459436.594359408133,  66.01724,  18.88399,               91.38403,  24.74862,        91.37917,       24.74675,     66.01724,     +18.88399,      66.02240,      +18.88531,  3859027.82,  -293132.11,  5185426.24,      53.445446,       +2.900562,  106024.65,  244148.27,    1948.66,             3404.21,   -70.88,  48397.05,           57867.29,     20.18,     -3.18,          17.26,  +3.19,  +1.25
  2,     UK002K,       0,  0.111884, 2459436.594359875191,  66.13549,  18.47167,               91.57239,  24.35720,        91.56248,       24.35339,     66.13549,     +18.47167,      66.14589,      +18.47435,  3858054.97,  -294093.44,  5183150.98,      53.439836,       +2.885107,  103662.62,  242203.25,    4603.35,             6058.91,   145.98,  65768.83,           57867.29,     40.90,     -6.45,          35.26,  +2.03,  +0.11
  3,     UK002K,       0,  0.152200, 2459436.594360341784,  66.25377,  18.11504,               91.72095,  24.00873,        91.72199,       24.00913,     66.25377,     +18.11504,      66.25336,      +18.11476,  3857216.19,  -294922.28,  5181189.29,      53.434995,       +2.871754,  101626.28,  240535.85,    6892.19,             8347.74,    -0.13,  56772.36,           57867.29,     -4.27,      0.67,           3.70,  +1.60,  -0.31
  4,     UK002K,       0,  0.192532, 2459436.594360808842,  66.36350,  17.74173,               91.88658,  23.65193,        91.88652,       23.65191,     66.36350,     +17.74173,      66.36437,      +17.74174,  3856358.38,  -295769.93,  5179183.08,      53.430039,       +2.858096,   99543.88,  238841.57,    9232.96,            10688.51,   -95.26,  58037.58,           58055.30,      0.25,     -0.04,           0.21,  +0.99,  -0.90
  5,     UK002K,       0,  0.232872, 2459436.594361275434,  66.46390,  17.34933,               92.07141,  23.28533,        92.05685,       23.27975,     66.46390,     +17.34933,      66.47948,      +17.35328,  3855477.95,  -296639.92,  5177123.98,      53.424947,       +2.844077,   97406.75,  237114.43,   11635.45,            13091.00,  -129.15,  59556.06,           58323.49,     59.23,     -9.33,          52.16,  +1.03,  -0.84
  6,     UK002K,       0,  0.273208, 2459436.594361742493,  66.58333,  16.96880,               92.23136,  22.91631,        92.22358,       22.91333,     66.58333,     +16.96880,      66.59227,      +16.97091,  3854623.72,  -297484.03,  5175126.15,      53.420002,       +2.830465,   95333.38,  235449.77,   13966.44,            15422.00,  -234.30,  57789.46,           58362.02,     31.48,     -4.96,          27.92,  +1.20,  -0.66
  0,     UK0032,       1,  0.000000, 2459436.594358585309,  77.49045,  30.72511,               74.03536,  27.07964,        73.97520,       27.06639,     77.49045,     +30.72511,      77.54691,      +30.75138,  3860252.67,  -291921.77,  5188290.85,      53.452500,       +2.920093,  108998.81,  232288.50,       0.00,               61.88,   906.34,      0.00,           54448.49,    191.86,   -115.07,         198.66,  +6.34,  +4.51
  1,     UK0032,       0,  0.040168, 2459436.594359050039,  77.70737,  30.59986,               73.97502,  26.86145,        74.02817,       26.87305,     77.70737,     +30.59986,      77.65770,      +30.57658,  3859747.22,  -292421.23,  5187108.73,      53.449590,       +2.911989,  107771.45,  231163.01,    1379.26,             1441.14,  -140.40,  34337.24,           54448.49,   -168.57,    101.81,         175.71,  +4.05,  +2.23
  2,     UK0032,       0,  0.080488, 2459436.594359517097,  77.86603,  30.24394,               74.12894,  26.50579,        74.12863,       26.50573,     77.86603,     +30.24394,      77.86666,      +30.24407,  3858803.31,  -293353.96,  5184901.17,      53.444152,       +2.896995,  105479.54,  229077.14,    3954.96,             4016.85,     0.13,  63881.58,           54448.49,      0.99,     -0.59,           1.04,  +2.42,  +0.62
  3,     UK0032,       0,  0.120804, 2459436.594359983690,  78.08220,  29.92119,               74.21493,  26.14081,        74.22704,       26.14346,     78.08220,     +29.92119,      78.07133,      +29.91590,  3857888.98,  -294257.46,  5182762.77,      53.438878,       +2.882459,  103259.63,  227066.01,    6449.97,             6511.86,    60.20,  61886.31,           54448.49,    -37.99,     22.89,          40.29,  +1.94,  +0.16
  4,     UK0032,       0,  0.161096, 2459436.594360449817,  78.26861,  29.61601,               74.30753,  25.80556,        74.31763,       25.80777,     78.26861,     +29.61601,      78.25979,      +29.61159,  3857055.78,  -295080.79,  5180814.12,      53.434068,       +2.869193,  101236.85,  225240.98,    8723.59,             8785.47,   -99.67,  56428.53,           55903.01,    -31.54,     19.00,          33.72,  +1.50,  -0.26
  5,     UK0032,       0,  0.201432, 2459436.594360916875,  78.50284,  29.27193,               74.39275,  25.41302,        74.42185,       25.41938,     78.50284,     +29.27193,      78.47632,      +29.25921,  3856108.85,  -296016.49,  5178599.50,      53.428596,       +2.854132,   98938.18,  223178.29,   11307.53,            11369.41,    48.12,  64060.31,           57485.29,    -90.20,     54.41,          97.36,  +0.88,  -0.86
  6,     UK0032,       0,  0.241724, 2459436.594361383002,  78.69617,  28.97013,               74.47462,  25.07520,        74.51143,       25.08323,     78.69617,     +28.97013,      78.66256,      +28.95404,  3855302.87,  -296812.92,  5176714.52,      53.423934,       +2.841283,   96981.80,  221429.86,   13506.86,            13568.74,  -186.03,  54584.83,           57739.17,   -113.49,     68.48,         123.47,  +1.07,  -0.66
  7,     UK0032,       0,  0.282076, 2459436.594361850061,  78.91062,  28.59599,               74.59237,  24.67036,        74.61929,       24.67624,     78.91062,     +28.59599,      78.88646,      +28.58423,  3854344.44,  -297760.00,  5174472.98,      53.418385,       +2.826029,   94655.56,  219363.25,   16122.21,            16184.09,    -7.79,  64813.31,           58435.34,    -82.49,     49.75,          90.58,  +1.43,  -0.28
  8,     UK0032,       1,  0.322220, 2459436.594362314790,  78.96598,  28.42537,               74.67617,  24.51014,        74.66359,       24.50738,     78.96598,     +28.42537,      78.97916,      +28.43086,  3853950.35,  -298149.43,  5173551.30,      53.416101,       +2.819656,   93699.04,  218511.10,   17197.60,            17259.48, -1356.95,  26788.36,           56659.00,     38.45,    -23.14,          42.36,  +5.29,  +3.59

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.