Orbital Analysis for matched events on 20210813_013308.904_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 39.06° Bg 8.03° Vg 68.53km/s
mass 0.01890g, abs. mag -0.4
Path Details
------------
start 0.67° 53.99° 104.92km
end   0.48° 54.04° 92.28km

Orbit Details
-------------
Semimajor axis 9.21A.U., eccentricity 0.90, inclination 165.56°, Period 27.96Y, LA Sun 140.25°, last Perihelion 1993-09-22

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: 2459439.564686396159
Time: 2021-08-13 01:33:08.944942 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK0026
 Convergence angle = 30.45326 deg
 R.A. =  33.78023  Dec = +21.42517 deg

Best intersection: Stations UK000Z and UK0026 with Qconv = 30.45 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3702178.37 +/- 26.05 m
 Y =   -944021.35 +/- 52.13 m
 Z =   5222101.49 +/- 146.24 m
 Vx =    53177.53 +/- 846.08 m/s
 Vy =    35881.62 +/- 378.13 m/s
 Vz =    26538.43 +/- 1050.61 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+7.336461e+02, -1.191711e+03, -3.326958e+03, +1.670994e+03, -7.286079e+03, -1.875731e+04
-1.191711e+03, +2.944640e+03, +8.117781e+03, -4.771640e+03, +1.822607e+04, +4.905249e+04
-3.326958e+03, +8.117781e+03, +2.332217e+04, -1.339842e+04, +5.233967e+04, +1.461210e+05
+1.670994e+03, -4.771640e+03, -1.339842e+04, +1.525416e+04, -3.922627e+04, -1.117248e+05
-7.286079e+03, +1.822607e+04, +5.233967e+04, -3.922627e+04, +1.450079e+05, +4.010576e+05
-1.875731e+04, +4.905249e+04, +1.461210e+05, -1.117248e+05, +4.010576e+05, +1.157584e+06

Timing offsets (from input data):
    UK000Z: 0.000436 s
    UK0026: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-13 01:33:08.944942 UTC
  Lon     = ++0.693853 +/- 0.0007 deg
  Lat     = +53.989917 +/- 0.0010 deg
  Lat geo = +53.809711 +/- 0.0010 deg
  Ht      =  106292.50 +/- 99.46 m

  JD dynamic   = 2459439.565487603657 
  LST apparent = 345.6949441248 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  34.00956 +/- 0.3232 deg
  Dec       = +22.47427 +/- 0.7676 deg
  Azimuth   = 111.53758 +/- 0.9138 deg
  Elevation = +42.10735 +/- 0.4560 deg
  Vavg      =  66.43180 +/- 0.5570 km/s
  Vinit     =  69.42354 +/- 0.4796 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  34.17451 +/- 0.3232 deg
  Dec       = +22.40872 +/- 0.7676 deg
  Azimuth   = 111.42437 +/- 0.9138 deg
  Elevation = +41.96428 +/- 0.4560 deg
  Vavg      =  66.62436 +/- 0.5570 km/s
  Vinit     =  69.61610 +/- 0.4796 km/s
Radiant (geocentric, J2000):
  R.A.   =  33.91657 +/- 0.3205 deg
  Dec    = +22.11008 +/- 0.7765 deg
  Vg     =  68.53048 +/- 0.4860 km/s
  Vinf   =  69.42354 +/- 0.4796 km/s
  Zc     =  47.82672 +/- 0.4533 deg
  Zg     =  48.15565 +/- 0.4618 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  39.06412 +/- 0.5430 deg
  Bg     =  +8.03130 +/- 0.6342 deg
  Vh     =  40.67944 +/- 0.4410 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  30.32200 +/- 1.0174 deg
  Bh     = +13.61399 +/- 1.0470 deg
  Vh_x   = -34.12797 +/- 0.1061 km/s
  Vh_y   = -19.96036 +/- 0.7392 km/s
  Vh_z   =  -9.57510 +/- 0.8002 km/s
Orbit:
  La Sun = 140.250612 +/- 0.0000 deg
  a      =   9.212892 +/- 1.3420 AU
  e      =   0.902748 +/- 0.0312
  i      = 165.555176 +/- 1.0338 deg
  peri   = 220.864890 +/- 3.4184 deg
  node   = 140.238534 +/- 0.0013 deg
  Pi     =   1.103424 +/- 3.4171 deg
  q      =   0.895971 +/- 0.0172 AU
  f      = 319.121356 +/- 3.4196 deg
  M      = 359.022363 +/- 0.9688 deg
  Q      =  17.529814 +/- 2.6685 AU
  n      =   0.035246 +/- 0.0252 deg/day
  T      =  27.963699 +/- 5.0646 years
  Last perihelion JD = 2449253.384138 (1993-09-22 21:13:09.484271) +/- 1851.7628 days
  Tj     =  -0.543614 +/- 0.2213
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.081419e-03, +5.756593e-04, -6.223930e+01, +7.449047e-07, -2.017476e-03, -6.037902e-04
q   , +5.756593e-04, +3.231150e-04, -3.121162e+01, +4.210392e-07, -1.122805e-03, -3.365969e-04
Tp  , -6.223930e+01, -3.121162e+01, +3.880733e+06, -3.953294e-02, +1.104520e+02, +3.261917e+01
node, +7.449047e-07, +4.210392e-07, -3.953294e-02, +5.608539e-10, -1.461370e-06, -4.460230e-07
peri, -2.017476e-03, -1.122805e-03, +1.104520e+02, -1.461370e-06, +3.907053e-03, +1.171098e-03
i   , -6.037902e-04, -3.365969e-04, +3.261917e+01, -4.460230e-07, +1.171098e-03, +3.569261e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.245870
 a2 = 24.937195

Mean time residuals from time vs. length:
  Station with reference time: UK0026
  Avg. res. = 3.241e-05 s
  Stddev    = 5.69e-03 s

Begin point on the trajectory:
  Lon =     0.672628 +/- 0.0006 deg
  Lat =    53.994850 +/- 0.0008 deg
  Ht  = 104917.90 +/- 84.25 m
End point on the trajectory:
  Lon =     0.475457 +/- 0.0007 deg
  Lat =    54.040176 +/- 0.0013 deg
  Ht  = 92283.92 +/- 119.36 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,   0.000000,   0.000000,   104719.93,    94030.40,          0.029567,    106.51,     13.24,              45.25, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210813_013301_393_0470272.fits"}
    UK0026,   False,    -0.023645,    52.984073,    6.00,   0.000243,  46.441310,   104917.90,    92283.92,          0.005794,     15.81,      0.07,              64.19, 1.0000,    True,    True, {"ff_name": "FF_UK0026_20210813_013306_166_0481792.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,     UK000Z,       0,  0.037768, 2459439.564686827827,  82.06419,  41.89701,               56.20626,  27.73342,        56.20585,       27.73401,     82.06419,     +41.89701,      82.06417,      +41.89770,  3700381.69,  -945233.67,  5221204.85,      53.995561,       +0.669582,  104719.93,  218337.46,       0.00,             2345.58,   455.19,      0.00,           70723.02,      0.33,     -2.63,           2.50,  +2.97,  +1.27
  1,     UK000Z,       0,  0.077880, 2459439.564687292092,  82.60138,  41.96430,               55.82042,  27.51576,        55.81551,       27.52279,     82.60138,     +41.96430,      82.59973,      +41.97244,  3698704.72,  -946365.20,  5220367.96,      54.000827,       +0.646733,  103252.54,  216769.21,    2189.29,             4534.87,  -140.23,  54579.45,           70723.02,      3.88,    -31.08,          29.81,  +1.64,  -0.04
  2,     UK000Z,       0,  0.118040, 2459439.564687757287,  83.36120,  42.05511,               55.27850,  27.20696,        55.26771,       27.22231,     83.36120,     +42.05511,      83.35760,      +42.07295,  3696377.80,  -947935.30,  5219206.70,      54.008131,       +0.615066,  101217.10,  214614.59,    5227.10,             7572.68,   109.53,  75642.74,           70723.02,      8.39,    -67.27,          65.15,  +2.09,  +0.43
  3,     UK000Z,       0,  0.158180, 2459439.564688221551,  84.17778,  42.18751,               54.67097,  26.90425,        54.67793,       26.89442,     84.17778,     +42.18751,      84.18094,      +42.17603,  3693909.19,  -949601.00,  5217974.73,      54.015876,       +0.581448,   99058.56,  212353.15,    8449.88,            10795.46,   545.65,  80288.52,           70723.02,     -5.33,     42.76,          41.85,  +3.14,  +1.50
  4,     UK000Z,       0,  0.198284, 2459439.564688685816,  84.61999,  42.21919,               54.37196,  26.71167,        54.36586,       26.72024,     84.61999,     +42.21919,      84.61871,      +42.22923,  3692621.86,  -950469.63,  5217332.28,      54.019913,       +0.563822,   97933.23,  211179.94,   10130.50,            12476.08,  -557.89,  41906.47,           66085.26,      4.63,    -37.17,          36.58,  +5.19,  +3.57
  5,     UK000Z,       0,  0.278524, 2459439.564689614344,  86.16650,  42.46915,               53.22541,  26.15052,        53.26644,       26.09348,     86.16650,     +42.46915,      86.18024,      +42.40189,  3688154.99,  -953483.65,  5215103.07,      54.033913,       +0.502838,   94030.40,  207176.18,   15962.03,            18307.60,  -296.92,  72676.03,           66642.03,    -30.28,    243.64,         244.44,  +4.31,  +2.73
  0,     UK0026,       1,  0.000000, 2459439.564686396159, 105.12278,  70.02641,               22.79720,  40.32816,        22.76871,       40.36120,    105.12278,     +70.02641,     105.10310,      +70.06538,  3702190.31,  -944013.30,  5222107.45,      53.989879,       +0.694183,  106302.95,  162314.44,       0.00,               15.59,   747.20,      0.00,           64153.61,      0.53,   -112.01,         142.34,  +5.62,  +4.57
  1,     UK0026,       0,  0.040328, 2459439.564686862752, 107.00002,  70.16802,               22.05496,  40.00153,        22.05387,       40.00277,    107.00002,     +70.16802,     106.99958,      +70.16950,  3700607.91,  -945081.03,  5221317.75,      53.994850,       +0.672628,  104917.90,  161368.31,    2065.84,             2050.25,   -17.85,  51225.96,           64153.61,      0.02,     -4.21,           5.38,  +2.06,  +1.02
  2,     UK0026,       0,  0.080824, 2459439.564687331673, 109.66071,  70.27450,               21.07863,  39.49326,        21.07505,       39.49730,    109.66071,     +70.27450,     109.65965,      +70.27938,  3698439.59,  -946544.10,  5220235.64,      54.001660,       +0.643131,  103020.58,  160107.54,    4896.59,             4881.00,     1.53,  69902.00,           64153.61,      0.06,    -13.68,          17.63,  +1.26,  +0.24
  3,     UK0026,       0,  0.121320, 2459439.564687800128, 112.36294,  70.34979,               20.10344,  38.97964,        20.10325,       38.97985,    112.36294,     +70.34979,     112.36341,      +70.35005,  3696288.45,  -947995.58,  5219162.11,      54.008412,       +0.613840,  101138.96,  158896.97,    7704.91,             7689.32,    -1.54,  69347.96,           64153.61,      0.00,     -0.71,           0.93,  +1.35,  +0.34
  4,     UK0026,       0,  0.161784, 2459439.564688268583, 114.91196,  70.38667,               19.19889,  38.49297,        19.20412,       38.48725,    114.91196,     +70.38667,     114.91285,      +70.37963,  3694299.28,  -949337.78,  5218169.40,      54.014653,       +0.586719,   99399.58,  157813.77,   10301.79,            10286.20,  -213.81,  64177.57,           64869.58,     -0.09,     19.39,          25.35,  +1.58,  +0.59
  5,     UK0026,       0,  0.202336, 2459439.564688737970, 117.87804,  70.37137,               18.17277,  37.90831,        18.17498,       37.90593,    117.87804,     +70.37137,     117.87854,      +70.36842,  3692019.95,  -950875.76,  5217031.90,      54.021801,       +0.555638,   97407.17,  156617.03,   13277.46,            13261.87,   -53.40,  73379.14,           66292.72,     -0.04,      8.06,          10.61,  +1.63,  +0.66
  6,     UK0026,       0,  0.242832, 2459439.564689206891, 120.59990,  70.32816,               17.23301,  37.37374,        17.24250,       37.36365,    120.59990,     +70.32816,     120.59780,      +70.31560,  3689953.69,  -952269.98,  5216000.72,      54.028277,       +0.527421,   95601.64,  155573.39,   15974.98,            15959.39,  -167.26,  66611.94,           66834.58,     -0.15,     34.23,          45.38,  +2.06,  +1.10
  7,     UK0026,       0,  0.283392, 2459439.564689676277, 123.54465,  70.20859,               16.24102,  36.76056,        16.23907,       36.76261,    123.54465,     +70.20859,     123.54683,      +70.21115,  3687725.84,  -953773.22,  5214888.91,      54.035257,       +0.496983,   93655.60,  154493.52,   18883.44,            18867.85,   -74.61,  71707.77,           67467.23,      0.03,     -6.96,           9.29,  +2.03,  +1.09
  8,     UK0026,       0,  0.323788, 2459439.564690143801, 125.62833,  70.10387,               15.53470,  36.32558,        15.53144,       36.32897,    125.62833,     +70.10387,     125.63177,      +70.10811,  3686155.08,  -954833.09,  5214105.02,      54.040176,       +0.475457,   92283.92,  153760.11,   20934.07,            20918.49,  -828.41,  50763.22,           66651.24,      0.05,    -11.53,          15.47,  +4.62,  +3.69

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.