Orbital Analysis for matched events on 20210904_012443.681_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 76.28° Bg 21.92° Vg 66.22km/s
mass 0.02588g, abs. mag -1.3
Path Details
------------
start -2.40° 51.20° 107.61km
end   -2.55° 51.17° 96.52km

Orbit Details
-------------
Semimajor axis 7.27A.U., eccentricity 0.86, inclination 142.02°, Period 19.60Y, LA Sun 161.45°, last Perihelion 2021-08-24

Full details below
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Detailed report below graphs

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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: 2459461.558838902507
Time: 2021-09-04 01:24:43.721329 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK000S
 Convergence angle = 45.21939 deg
 R.A. =  71.81544  Dec = +44.96908 deg

Best intersection: Stations UK0006 and UK000S with Qconv = 45.22 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   4069464.56 +/- 17.70 m
 Y =    156357.82 +/- 17.77 m
 Z =   5033603.83 +/- 43.86 m
 Vx =    14714.53 +/- 203.58 m/s
 Vy =    45370.02 +/- 579.87 m/s
 Vz =    47255.65 +/- 564.08 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.367127e+02, -2.926442e+02, +7.895448e+02, -4.596895e+02, -8.644296e+03, -2.917170e+03
-2.926442e+02, +3.378472e+02, -7.970190e+02, +4.304589e+02, +7.906295e+03, +2.001257e+03
+7.895448e+02, -7.970190e+02, +2.063607e+03, -1.613690e+03, -2.207412e+04, -7.248341e+03
-4.596895e+02, +4.304589e+02, -1.613690e+03, +9.847478e+03, +3.741310e+04, +2.810473e+04
-8.644296e+03, +7.906295e+03, -2.207412e+04, +3.741310e+04, +3.199994e+05, +1.498004e+05
-2.917170e+03, +2.001257e+03, -7.248341e+03, +2.810473e+04, +1.498004e+05, +9.794488e+04

Timing offsets (from input data):
    UK0006: 0.000182 s
    UK000S: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-04 01:24:43.721329 UTC
  Lon     = +-2.374113 +/- 0.0003 deg
  Lat     = +51.210077 +/- 0.0001 deg
  Lat geo = +51.025203 +/- 0.0001 deg
  Ht      =  109495.89 +/- 44.42 m

  JD dynamic   = 2459461.559640108142 
  LST apparent = 2.2003480899 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  72.03094 +/- 0.1579 deg
  Dec       = +44.73399 +/- 0.1931 deg
  Azimuth   =  69.44818 +/- 0.1453 deg
  Elevation = +44.59039 +/- 0.1978 deg
  Vavg      =  66.95898 +/- 0.0571 km/s
  Vinit     =  67.14203 +/- 0.5745 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  72.15323 +/- 0.1579 deg
  Dec       = +44.56699 +/- 0.1931 deg
  Azimuth   =  69.57238 +/- 0.1453 deg
  Elevation = +44.42422 +/- 0.1978 deg
  Vavg      =  67.15737 +/- 0.0571 km/s
  Vinit     =  67.34042 +/- 0.5745 km/s
Radiant (geocentric, J2000):
  R.A.   =  72.02650 +/- 0.1533 deg
  Dec    = +44.51014 +/- 0.1922 deg
  Vg     =  66.21881 +/- 0.5827 km/s
  Vinf   =  67.14203 +/- 0.5745 km/s
  Zc     =  45.47477 +/- 0.1974 deg
  Zg     =  45.80722 +/- 0.1946 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  76.27801 +/- 0.0902 deg
  Bg     = +21.92487 +/- 0.2044 deg
  Vh     =  40.46170 +/- 0.5136 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.98020 +/- 0.1324 deg
  Bh     = +37.67124 +/- 0.5245 deg
  Vh_x   =  -5.57227 +/- 0.1012 km/s
  Vh_y   = -31.53818 +/- 0.6088 km/s
  Vh_z   = -24.72735 +/- 0.1504 km/s
Orbit:
  La Sun = 161.454423 +/- 0.0000 deg
  a      =   7.270599 +/- 1.6837 AU
  e      =   0.863340 +/- 0.0461
  i      = 142.020228 +/- 0.5197 deg
  peri   = 165.450414 +/- 0.3841 deg
  node   = 161.452770 +/- 0.0001 deg
  Pi     = 326.903184 +/- 0.3841 deg
  q      =   0.993600 +/- 0.0005 AU
  f      =  14.545893 +/- 0.3841 deg
  M      =   0.543754 +/- 0.3325 deg
  Q      =  13.547598 +/- 3.3673 AU
  n      =   0.050275 +/- 0.0285 deg/day
  T      =  19.604506 +/- 6.3293 years
  Last perihelion JD = 2459450.743973 (2021-08-24 05:51:19.226884) +/- 0.3954 days
  Tj     =  -0.224477 +/- 0.2590
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.290290e-03, +5.632842e-06, +1.704677e-02, -4.053735e-08, +2.406983e-04, +4.002120e-04
q   , +5.632842e-06, +2.993029e-07, +1.502605e-04, +1.083600e-10, +3.152603e-06, -1.079631e-06
Tp  , +1.704677e-02, +1.502605e-04, +1.681083e-01, -2.219668e-07, +2.764979e-03, +2.187012e-03
node, -4.053735e-08, +1.083600e-10, -2.219668e-07, +9.055832e-13, -2.382840e-09, -8.954639e-09
peri, +2.406983e-04, +3.152603e-06, +2.764979e-03, -2.382840e-09, +4.829014e-05, +2.342710e-05
i   , +4.002120e-04, -1.079631e-06, +2.187012e-03, -8.954639e-09, +2.342710e-05, +8.855018e-05

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: UK000S
  Avg. res. = 1.990e-05 s
  Stddev    = 4.46e-03 s

Begin point on the trajectory:
  Lon =    -2.399281 +/- 0.0002 deg
  Lat =    51.204147 +/- 0.0001 deg
  Ht  = 107613.07 +/- 34.58 m
End point on the trajectory:
  Lon =    -2.548856 +/- 0.0002 deg
  Lat =    51.169000 +/- 0.0001 deg
  Ht  = 96522.10 +/- 29.90 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   1.945776,  13.096720,   106404.01,    96581.53,          0.014750,     38.74,      6.24,              86.09, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210904_012434_238_0540416.fits"}
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000109,  49.123280,   107613.07,    96522.10,          0.004070,      4.98,      6.78,              61.25, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210904_012436_487_0541952.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,     UK0006,       0,  0.073641, 2459461.558839752804, 331.09838,  13.52870,              225.81764,  43.79266,       225.81087,       43.79115,    331.09838,     +13.52870,     331.10246,      +13.52513,  4068499.16,   153381.16,  5030503.47,      51.200333,       -2.415590,  106404.01,  152296.62,       0.00,             4405.08,  -253.97,      0.00,           67296.46,     -2.16,     13.42,          18.41,  +1.96,  +1.05
  1,     UK0006,       0,  0.114909, 2459461.558840230573, 330.11455,  12.53598,              226.36529,  42.47187,       226.36653,       42.47215,    330.11455,     +12.53598,     330.11433,      +12.53665,  4067697.16,   150908.33,  5027927.86,      51.192221,       -2.450120,  103836.59,  152223.69,    3659.49,             8064.57,   634.70,  88676.29,           67296.46,      0.40,     -2.51,           3.44,  +1.26,  +0.35
  2,     UK0006,       0,  0.155525, 2459461.558840700425, 329.62308,  12.06586,              226.65032,  41.83395,       226.63015,       41.82947,    329.62308,     +12.06586,     329.63528,      +12.05498,  4067307.81,   149707.81,  5026677.45,      51.188276,       -2.466975,  102590.50,  152223.32,    5436.11,             9841.19,  -315.72,  43741.74,           67296.46,     -6.64,     41.14,          56.47,  -0.18,  -1.09
  3,     UK0006,       0,  0.196625, 2459461.558841176331, 328.79716,  11.19197,              227.07134,  40.68593,       227.08236,       40.68838,    328.79716,     +11.19197,     328.79157,      +11.19799,  4066616.18,   147575.27,  5024456.27,      51.181260,       -2.496794,  100377.63,  152269.30,    8592.01,            12997.09,    80.64,  76785.84,           67296.46,      3.68,    -22.85,          31.35,  -0.40,  -1.31
  4,     UK0006,       0,  0.237473, 2459461.558841648977, 328.15590,  10.52456,              227.39986,  39.80323,       227.42109,       39.80794,    328.15590,     +10.52456,     328.14440,      +10.53628,  4066083.07,   145931.52,  5022744.20,      51.175843,       -2.519825,   98672.46,  152351.04,   11024.56,            15429.64,  -229.43,  59551.31,           65921.18,      7.18,    -44.58,          61.13,  -0.54,  -1.45
  5,     UK0006,       0,  0.278509, 2459461.558842123952, 327.37421,   9.70638,              227.79157,  38.72173,       227.82344,       38.72879,    327.37421,      +9.70638,     327.35635,       +9.72417,  4065429.16,   143915.28,  5020644.17,      51.169189,       -2.548045,   96581.53,  152503.08,   14008.35,            18413.43,    -0.88,  72711.47,           66500.10,     10.93,    -67.93,          93.06,  -0.30,  -1.22
  0,     UK000S,       1,  0.000000, 2459461.558838902507, 314.57130,  62.70180,              313.44823,  61.89367,       313.42206,       61.90662,    314.57130,     +62.70180,     314.59849,      +62.68899,  4069464.43,   156357.43,  5033603.43,      51.210076,       -2.373951,  109495.48,  123797.02,       0.00,                0.58,   285.91,      0.00,           64832.14,    -31.14,     22.86,          64.36,  +2.38,  +1.92
  1,     UK000S,       0,  0.040164, 2459461.558839367237, 312.91683,  61.90308,              311.75372,  61.13462,       311.75871,       61.13221,    312.91683,     +61.90308,     312.91182,      +61.90546,  4068876.72,   154545.33,  5031716.02,      51.204147,       -2.399281,  107613.07,  122549.65,    2681.68,             2682.26,   270.90,  66768.21,           64832.14,      5.87,     -4.32,          12.27,  +1.13,  +0.69
  2,     UK000S,       0,  0.080360, 2459461.558839832433, 311.30994,  61.10207,              310.17541,  60.33827,       310.17560,       60.33818,    311.30994,     +61.10207,     311.31007,      +61.10216,  4068300.46,   152768.50,  5029865.34,      51.198325,       -2.424129,  105767.82,  121372.06,    5311.17,             5311.75,   201.55,  65416.67,           64832.14,      0.23,     -0.17,           0.47,  +0.76,  +0.34
  3,     UK000S,       0,  0.120552, 2459461.558840297628, 309.83041,  60.31040,              308.72205,  59.55027,       308.71636,       59.55289,    309.83041,     +60.31040,     309.83679,      +60.30781,  4067753.30,   151081.42,  5028108.15,      51.192789,       -2.447738,  104016.27,  120297.03,    7807.83,             7808.41,    -0.36,  62118.44,           64832.14,     -6.59,      4.84,          14.02,  +0.27,  -0.13
  4,     UK000S,       0,  0.160756, 2459461.558840763289, 308.34385,  59.43846,              307.22408,  58.69822,       307.22960,       58.69572,    308.34385,     +59.43846,     308.33882,      +59.44092,  4067178.27,   149308.41,  5026261.45,      51.186963,       -2.472549,  102176.00,  119213.26,   10431.67,            10432.25,   -75.90,  65263.13,           64666.47,      6.38,     -4.69,          13.70,  -0.14,  -0.52
  5,     UK000S,       0,  0.201000, 2459461.558841228951, 306.78191,  58.48245,              305.70178,  57.73917,       305.69196,       57.74353,    306.78191,     +58.48245,     306.79289,      +58.47816,  4066563.14,   147411.74,  5024285.95,      51.180721,       -2.499087,  100207.97,  118107.45,   13238.51,            13239.09,    28.87,  69745.55,           65345.77,    -11.32,      8.32,          24.54,  -0.37,  -0.73
  6,     UK000S,       0,  0.241236, 2459461.558841694612, 305.37089,  57.52844,              304.27855,  56.80273,       304.27710,       56.80336,    305.37089,     +57.52844,     305.37340,      +57.52782,  4065977.33,   145605.50,  5022404.63,      51.174768,       -2.524376,   98334.33,  117107.81,   15911.53,            15912.11,     0.36,  66433.48,           65704.88,     -1.68,      1.23,           3.67,  -0.57,  -0.91
  7,     UK000S,       0,  0.281480, 2459461.558842160273, 304.03936,  56.58143,              302.96093,  55.86060,       302.95356,       55.86377,    304.03936,     +56.58143,     304.04813,      +56.57832,  4065410.57,   143857.97,  5020584.47,      51.169000,       -2.548856,   96522.10,  116191.52,   18497.66,            18498.24,  -115.57,  64261.27,           65734.00,     -8.52,      6.26,          18.77,  -0.32,  -0.65
  8,     UK000S,       1,  0.321680, 2459461.558842625469, 303.03002,  55.82046,              301.96047,  55.10367,       301.94861,       55.10872,    303.03002,     +55.82046,     303.04357,      +55.81551,  4064967.61,   142492.16,  5019161.90,      51.164486,       -2.568030,   95106.06,  115512.11,   20518.88,            20519.46,  -793.45,  50279.22,           64717.51,    -13.74,     10.09,          30.45,  +4.31,  +4.00

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.