Orbital Analysis for matched events on 20210813_014637.807_UK

Summary for Event
-----------------
shower ID 584 GCE
Lg 56.69° Bg 58.06° Vg 48.65km/s
mass 0.02719g, abs. mag -0.2
Path Details
------------
start 2.07° 53.17° 105.38km
end   2.04° 53.13° 93.08km

Orbit Details
-------------
Semimajor axis 34.94A.U., eccentricity 0.97, inclination 84.71°, Period 206.54Y, LA Sun 140.26°, last Perihelion 2021-08-07

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: 2459439.574048698880
Time: 2021-08-13 01:46:37.807583 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 18.76135 deg
 R.A. =  15.77981  Dec = +71.81197 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 18.76 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3840482.47 +/- 62.13 m
 Y =   -646184.76 +/- 82.41 m
 Z =   5166538.17 +/- 36.86 m
 Vx =    14593.57 +/- 435.36 m/s
 Vy =     3363.21 +/- 544.82 m/s
 Vz =    47601.71 +/- 459.80 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.199615e+03, +5.090083e+03, +1.859683e+03, +1.611426e+04, +1.907651e+04, +7.207240e+03
+5.090083e+03, +7.366442e+03, +2.711162e+03, +1.320705e+04, +2.177461e+04, +8.685029e+03
+1.859683e+03, +2.711162e+03, +1.476855e+03, +3.384823e+03, +5.883991e+03, +2.704834e+03
+1.611426e+04, +1.320705e+04, +3.384823e+03, +2.085231e+05, +2.422317e+05, +6.477149e+04
+1.907651e+04, +2.177461e+04, +5.883991e+03, +2.422317e+05, +3.281767e+05, +8.716626e+04
+7.207240e+03, +8.685029e+03, +2.704834e+03, +6.477149e+04, +8.716626e+04, +2.477610e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.001187 s

Reference point on the trajectory:
  Time: 2021-08-13 01:46:37.807583 UTC
  Lon     = ++2.068512 +/- 0.0013 deg
  Lat     = +53.173323 +/- 0.0003 deg
  Lat geo = +52.991516 +/- 0.0003 deg
  Ht      =  105408.55 +/- 54.09 m

  JD dynamic   = 2459439.574849439785 
  LST apparent = 350.4490918084 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  12.97771 +/- 1.5321 deg
  Dec       = +72.53576 +/- 0.5575 deg
  Azimuth   =  18.19303 +/- 1.9639 deg
  Elevation = +68.39010 +/- 0.1673 deg
  Vavg      =  47.92171 +/- 0.4480 km/s
  Vinit     =  49.90197 +/- 0.3209 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  13.97395 +/- 1.5321 deg
  Dec       = +72.41418 +/- 0.5575 deg
  Azimuth   =  19.03004 +/- 1.9639 deg
  Elevation = +68.29341 +/- 0.1673 deg
  Vavg      =  47.95516 +/- 0.4480 km/s
  Vinit     =  49.93542 +/- 0.3209 km/s
Radiant (geocentric, J2000):
  R.A.   =  13.19772 +/- 1.5357 deg
  Dec    = +72.63697 +/- 0.5704 deg
  Vg     =  48.65176 +/- 0.3289 km/s
  Vinf   =  49.90197 +/- 0.3209 km/s
  Zc     =  21.78269 +/- 0.1681 deg
  Zg     =  22.06239 +/- 0.1716 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  56.68992 +/- 0.3001 deg
  Bg     = +58.05815 +/- 0.7295 deg
  Vh     =  41.54183 +/- 0.1183 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 196.33076 +/- 8.5458 deg
  Bh     = +83.63299 +/- 0.6444 deg
  Vh_x   =   4.42099 +/- 0.4408 km/s
  Vh_y   =   1.29536 +/- 0.5655 km/s
  Vh_z   = -41.28560 +/- 0.0803 km/s
Orbit:
  La Sun = 140.259602 +/- -0.0000 deg
  a      =  34.941510 +/- 5.2683 AU
  e      =   0.971115 +/- 0.0111
  i      =  84.710421 +/- 0.9706 deg
  peri   = 172.799901 +/- 0.4149 deg
  node   = 140.261260 +/- 0.0001 deg
  Pi     = 313.061161 +/- 0.4149 deg
  q      =   1.009284 +/- 0.0005 AU
  f      =   7.196717 +/- 0.4149 deg
  M      =   0.025230 +/- 0.0220 deg
  Q      =  68.873737 +/- 10.5364 AU
  n      =   0.004772 +/- 0.0036 deg/day
  T      = 206.544266 +/- 38.5065 years
  Last perihelion JD = 2459434.287706 (2021-08-07 18:54:17.787600) +/- 0.3112 days
  Tj     =   0.262939 +/- 0.0383
Shower association:
  IAU No.  =  584
  IAU code =  GCE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.399434e-04, +1.706564e-06, +1.469140e-03, +1.145821e-08, +3.024071e-05, -1.941441e-04
q   , +1.706564e-06, +2.056175e-07, +1.416618e-04, +1.367550e-10, +3.304997e-06, -2.319897e-06
Tp  , +1.469140e-03, +1.416618e-04, +9.838902e-02, +1.186165e-07, +2.286022e-03, -2.011655e-03
node, +1.145821e-08, +1.367550e-10, +1.186165e-07, +1.065973e-12, +2.433796e-09, -1.806908e-08
peri, +3.024071e-05, +3.304997e-06, +2.286022e-03, +2.433796e-09, +5.324334e-05, -4.128128e-05
i   , -1.941441e-04, -2.319897e-06, -2.011655e-03, -1.806908e-08, -4.128128e-05, +3.062856e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.841987
 a2 = 23.169548

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 8.536e-06 s
  Stddev    = 2.92e-03 s

Begin point on the trajectory:
  Lon =     2.068463 +/- 0.0013 deg
  Lat =    53.173233 +/- 0.0002 deg
  Ht  = 105381.34 +/- 56.03 m
End point on the trajectory:
  Lon =     2.044880 +/- 0.0021 deg
  Lat =    53.132237 +/- 0.0003 deg
  Ht  = 93082.78 +/- 79.33 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,   1.527313,  21.200181,   105381.34,    93082.78,          0.010153,     21.20,     27.45,              56.53, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210813_014629_378_0495872.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   1.614654,  19.575220,   103274.29,    94062.63,          0.018930,     46.55,     32.16,              44.31, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210813_014635_832_0502016.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,  0.000000, 2459439.574048698880,  49.04591,  17.52421,              102.97786,  31.09754,       102.97370,       31.09584,     49.04591,     +17.52421,      49.04996,      +17.52503,  3840473.91,  -646186.74,  5166510.26,      53.173233,       +2.068463,  105381.34,  199615.44,       0.00,               29.26,   285.36,      0.00,           49265.95,     10.90,     -8.42,          14.24,  +4.52,  +3.02
  1,     UK002K,       0,  0.040352, 2459439.574049165938,  49.12301,  17.10549,              103.20554,  30.71994,       103.18780,       30.71271,     49.12301,     +17.10549,      49.14047,      +17.10897,  3839968.48,  -646303.22,  5164861.64,      53.167886,       +2.065370,  103774.54,  198715.36,    1728.29,             1757.55,    -0.00,  42830.28,           49265.95,     46.34,    -35.79,          60.77,  +2.63,  +1.14
  2,     UK002K,       0,  0.080816, 2459439.574049634393,  49.26144,  16.56837,              103.45955,  30.21188,       103.46341,       30.21345,     49.26144,     +16.56837,      49.25802,      +16.56761,  3839317.93,  -646453.14,  5162739.64,      53.161001,       +2.061436,  101706.45,  197575.76,    3952.83,             3982.09,   205.31,  54975.79,           49265.95,    -10.05,      7.77,          13.26,  +1.94,  +0.46
  3,     UK002K,       0,  0.121220, 2459439.574050101917,  49.36616,  16.09110,              103.69862,  29.77028,       103.70443,       29.77264,     49.36616,     +16.09110,      49.36099,      +16.08996,  3838749.99,  -646584.03,  5160887.13,      53.154986,       +2.057980,   99901.08,  196594.90,    5894.85,             5924.11,   131.09,  48065.10,           49265.95,    -15.12,     11.69,          20.05,  +2.17,  +0.70
  4,     UK002K,       0,  0.161584, 2459439.574050568976,  49.45236,  15.66157,              103.91869,  29.37691,       103.91895,       29.37701,     49.45236,     +15.66157,      49.45277,      +15.66151,  3838245.26,  -646700.35,  5159240.77,      53.149637,       +2.054889,   98296.65,  195734.20,    7620.77,             7650.04,  -157.23,  42758.95,           48036.43,     -0.69,      0.53,           0.92,  +1.38,  -0.08
  5,     UK002K,       0,  0.202024, 2459439.574051036965,  49.55460,  15.13780,              104.18681,  28.89816,       104.17772,       28.89447,     49.55460,     +15.13780,      49.56434,      +15.13959,  3837636.54,  -646840.63,  5157255.23,      53.143183,       +2.051194,   96361.76,  194713.45,    9702.26,             9731.53,   -93.78,  51471.09,           48176.02,     23.61,    -18.24,          31.60,  +1.61,  +0.16
  6,     UK002K,       0,  0.242404, 2459439.574051504489,  49.64455,  14.68066,              104.41780,  28.47926,       104.40191,       28.47282,     49.64455,     +14.68066,      49.66112,      +14.68379,  3837109.99,  -646961.98,  5155537.74,      53.137598,       +2.047975,   94688.13,  193842.92,   11502.75,            11532.01,  -308.34,  44588.47,           47841.74,     41.17,    -31.79,          55.36,  +1.28,  -0.16
  7,     UK002K,       0,  0.282776, 2459439.574051971547,  49.74013,  14.24011,              104.63046,  28.06990,       104.61720,       28.06453,     49.74013,     +14.24011,      49.75433,      +14.24272,  3836604.92,  -647078.38,  5153890.27,      53.132237,       +2.044880,   93082.78,  193019.63,   13229.82,            13259.08,  -595.90,  42779.04,           47280.93,     34.35,    -26.52,          46.37,  +4.16,  +2.73
  0,     UK0032,       0,  0.051947, 2459439.574049317744,  61.45186,  32.60012,               80.92430,  35.28726,        80.92389,       35.28709,     61.45186,     +32.60012,      61.45250,      +32.60024,  3839811.12,  -646339.48,  5164348.35,      53.166221,       +2.064405,  103274.29,  176010.30,       0.00,             2295.64,   -40.53,      0.00,           50564.94,      0.65,     -0.94,           1.34,  +2.36,  +1.13
  1,     UK0032,       0,  0.092343, 2459439.574049785268,  61.61696,  32.13202,               81.20604,  34.85668,        81.19470,       34.85196,     61.61696,     +32.13202,      61.62908,      +32.13520,  3839213.70,  -646477.16,  5162399.66,      53.159897,       +2.060778,  101375.12,  174615.18,    2042.85,             4338.49,   -13.52,  50570.66,           50564.94,     18.10,    -26.15,          37.56,  +2.13,  +0.92
  2,     UK0032,       0,  0.132755, 2459439.574050252791,  61.83090,  31.66812,               81.44384,  34.39853,        81.46749,       34.40833,     61.83090,     +31.66812,      61.80703,      +31.66148,  3838615.05,  -646615.13,  5160446.97,      53.153556,       +2.057144,   99472.12,  173230.14,    4089.91,             6385.55,    16.90,  50654.63,           50564.94,    -37.53,     54.31,          78.60,  +1.27,  +0.08
  3,     UK0032,       0,  0.173159, 2459439.574050720781,  61.98356,  31.18184,               81.74133,  33.95936,        81.74048,       33.95900,     61.98356,     +31.18184,      61.98517,      +31.18208,  3838019.06,  -646752.48,  5158502.95,      53.147240,       +2.053524,   97577.65,  171864.35,    6127.87,             8423.51,    38.62,  50439.61,           50564.94,      1.35,     -1.95,           2.84,  +1.27,  +0.09
  4,     UK0032,       0,  0.213531, 2459439.574051187839,  62.17884,  30.76828,               81.94229,  33.54566,        81.97963,       33.56110,     62.17884,     +30.76828,      62.14118,      +30.75781,  3837499.32,  -646872.26,  5156807.65,      53.141728,       +2.050345,   95925.61,  170683.08,    7905.09,            10200.73,  -198.80,  44021.07,           49247.69,    -58.81,     85.16,         125.07,  +1.66,  +0.50
  5,     UK0032,       0,  0.253939, 2459439.574051655363,  62.33800,  30.27748,               82.23046,  33.09655,        82.25069,       33.10490,     62.33800,     +30.27748,      62.31820,      +30.27182,  3836913.20,  -647007.33,  5154895.82,      53.135509,       +2.046780,   94062.63,  169364.65,    9909.31,            12204.94,  -211.03,  49599.51,           48921.43,    -31.75,     45.94,          68.01,  +1.50,  +0.36

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.