Orbital Analysis for matched events on 20210810_020500.677_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 11.46° Bg 10.06° Vg 57.77km/s
mass 0.00174g, abs. mag 1.8
Path Details
------------
start -4.72° 50.75° 104.46km
end   -4.77° 50.80° 96.57km

Orbit Details
-------------
Semimajor axis 3.74A.U., eccentricity 0.94, inclination 148.80°, Period 7.22Y, LA Sun 137.39°, last Perihelion 2014-06-27

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: 2459436.586813399103
Time: 2021-08-10 02:05:00.677682 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0020 and UK0024
 Convergence angle = 13.06441 deg
 R.A. =   8.73997  Dec = +13.12169 deg

Best intersection: Stations UK0020 and UK0024 with Qconv = 13.06 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3975302.01 +/- 64.49 m
 Y =  -1042236.73 +/- 108.30 m
 Z =   4996964.79 +/- 92.06 m
 Vx =    56630.78 +/- 996.85 m/s
 Vy =     6594.76 +/- 1770.75 m/s
 Vz =    14478.05 +/- 1242.27 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.532542e+03, -2.905579e+03, +3.022199e+03, +7.721293e+03, -1.675870e+04, +1.693930e+04
-2.905579e+03, +7.185355e+03, -5.724273e+03, -2.111222e+04, +4.736336e+04, -3.503450e+04
+3.022199e+03, -5.724273e+03, +5.880998e+03, +1.945483e+04, -4.469845e+04, +4.027279e+04
+7.721293e+03, -2.111222e+04, +1.945483e+04, +1.072389e+05, -2.650834e+05, +2.112638e+05
-1.675870e+04, +4.736336e+04, -4.469845e+04, -2.650834e+05, +6.632023e+05, -5.323403e+05
+1.693930e+04, -3.503450e+04, +4.027279e+04, +2.112638e+05, -5.323403e+05, +4.811039e+05

Timing offsets (from input data):
    UK001K: 0.000000 s
    UK0020: -0.000005 s
    UK0024: 0.000000 s

Reference point on the trajectory:
  Time: 2021-08-10 02:05:00.677682 UTC
  Lon     = +-4.722629 +/- 0.0013 deg
  Lat     = +50.750709 +/- 0.0002 deg
  Lat geo = +50.565071 +/- 0.0002 deg
  Ht      =  104439.86 +/- 122.91 m

  JD dynamic   = 2459436.587614140008 
  LST apparent = 345.3089574568 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   6.64229 +/- 1.6817 deg
  Dec       = +14.24855 +/- 1.0461 deg
  Azimuth   = 147.02236 +/- 1.9287 deg
  Elevation = +49.62453 +/- 1.5181 deg
  Vavg      =  58.83462 +/- 0.6555 km/s
  Vinit     =  58.82304 +/- 0.8519 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   6.92228 +/- 1.6817 deg
  Dec       = +14.22230 +/- 1.0461 deg
  Azimuth   = 146.64597 +/- 1.9287 deg
  Elevation = +49.50309 +/- 1.5181 deg
  Vavg      =  58.94095 +/- 0.6555 km/s
  Vinit     =  58.92938 +/- 0.8519 km/s
Radiant (geocentric, J2000):
  R.A.   =   6.50222 +/- 1.6949 deg
  Dec    = +13.77390 +/- 1.0669 deg
  Vg     =  57.76622 +/- 0.8668 km/s
  Vinf   =  58.82304 +/- 0.8519 km/s
  Zc     =  40.21985 +/- 1.5212 deg
  Zg     =  40.60017 +/- 1.5457 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  11.45902 +/- 1.0959 deg
  Bg     = +10.06121 +/- 1.6311 deg
  Vh     =  38.89462 +/- 1.4595 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 343.72775 +/- 1.1139 deg
  Bh     = +15.03997 +/- 2.0257 deg
  Vh_x   = -36.05758 +/- 0.6608 km/s
  Vh_y   =  10.52502 +/- 1.0029 km/s
  Vh_z   = -10.09287 +/- 1.8299 km/s
Orbit:
  La Sun = 137.392426 +/- nan deg
  a      =   3.736397 +/- 4.3646 AU
  e      =   0.939335 +/- 0.0340
  i      = 148.801201 +/- 4.4224 deg
  peri   = 307.074748 +/- 4.0812 deg
  node   = 137.388044 +/- 0.0007 deg
  Pi     =  84.462792 +/- 4.0805 deg
  q      =   0.226667 +/- 0.0181 AU
  f      = 232.918612 +/- 4.0818 deg
  M      = 354.835579 +/- nan deg
  Q      =   7.246126 +/- 8.7416 AU
  n      =   0.136466 +/- 0.0397 deg/day
  T      =   7.222376 +/- 339934629.9032 years
  Last perihelion JD = 2456836.412649 (2014-06-27 21:54:12.873082) +/- 2573.7657 days
  Tj     =   0.895661 +/- 0.6952
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.716399e-04, +1.028075e-04, -3.123171e+01, +1.091342e-07, -4.304299e-04, -5.435272e-04
q   , +1.028075e-04, +7.978471e-05, -1.759581e+01, +7.245595e-08, -3.032306e-04, -3.602560e-04
Tp  , -3.123171e+01, -1.759581e+01, +6.812491e+06, -1.786546e-02, +7.482738e+01, +9.181627e+01
node, +1.091342e-07, +7.245595e-08, -1.786546e-02, +7.522386e-11, -2.926733e-07, -3.689204e-07
peri, -4.304299e-04, -3.032306e-04, +7.482738e+01, -2.926733e-07, +1.193286e-03, +1.453735e-03
i   , -5.435272e-04, -3.602560e-04, +9.181627e+01, -3.689204e-07, +1.453735e-03, +1.819358e-03

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 19.062130
 a2 = 13.053044

Mean time residuals from time vs. length:
  Station with reference time: UK0024
  Avg. res. = 1.464e-06 s
  Stddev    = 1.21e-03 s

Begin point on the trajectory:
  Lon =    -4.722394 +/- 0.0014 deg
  Lat =    50.750480 +/- 0.0002 deg
  Ht  = 104458.10 +/- 100.46 m
End point on the trajectory:
  Lon =    -4.774144 +/- 0.0026 deg
  Lat =    50.800306 +/- 0.0002 deg
  Ht  = 96568.08 +/- 188.73 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
    UK001K,    True,    -3.557111,    51.483925,   37.50,   0.000000,   0.000000,   113846.46,   102766.61,          0.612945,       nan,       nan,              52.53, 0.0000,    True,    True, {"ff_name": "FF_UK001K_20210810_020451_765_0501504.fits"}
    UK0020,   False,    -3.515726,    50.691998,   17.00,  18.269764,  11.739336,   103870.66,    96568.08,          0.017612,     36.36,     19.74,              70.30, 1.0000,    True,    True, {"ff_name": "FF_UK0020_20210810_020454_950_0510976.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,  13.192635,  17.351822,   104458.10,    97157.24,          0.018578,     49.17,     19.45,              74.70, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210810_020451_650_0514560.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,     UK001K,       1, -1.958289, 2459436.586790733505, 317.15672,  10.96201,              221.08487,  42.98850,       221.50517,       43.43967,    317.15672,     +10.96201,     317.05771,      +11.50001,  3987183.06, -1040853.16,  5000002.26,      50.691466,       -4.653945,  113846.46,  163933.89,       0.00,            12340.98, 127358.15,     -0.00,           62458.82,   -239.47,   1541.78,        1963.19,  +4.70,  +3.63
  1,     UK001K,       1, -1.917957, 2459436.586791200563, 316.47926,  10.80313,              221.81665,  42.56503,       222.28152,       43.05705,    316.47926,     +10.80313,     316.36979,      +11.39345,  3984705.22, -1041141.70,  4999368.78,      50.703810,       -4.666704,  111883.86,  162239.91,    2573.76,             9767.22, 122411.94,  63814.32,           62458.82,   -259.01,   1675.21,        2155.14,  +3.05,  +2.00
  2,     UK001K,       1, -1.877657, 2459436.586791667156, 315.79104,  10.69003,              222.57958,  42.17481,       223.05126,       42.66767,    315.79104,     +10.69003,     315.67962,      +11.28485,  3982268.21, -1041425.50,  4998745.74,      50.715956,       -4.679270,  109954.00,  160596.85,    5105.11,             7235.87, 117510.02,  62812.71,           62458.82,   -258.47,   1671.52,        2172.39,  +1.91,  +0.88
  3,     UK001K,       1, -1.837333, 2459436.586792133749, 315.12028,  10.53944,              223.29201,  41.75443,       223.80041,       42.27895,    315.12028,     +10.53944,     314.99995,      +11.17626,  3979914.43, -1041699.60,  4998143.98,      50.727694,       -4.691426,  108090.42,  159032.35,    7550.01,             4790.97, 112693.14,  60631.42,           62458.82,   -273.23,   1773.10,        2326.90,  +1.51,  +0.50
  4,     UK001K,       1, -1.797037, 2459436.586792599875, 314.41064,  10.43868,              224.07167,  41.35861,       224.57178,       41.86847,    314.41064,     +10.43868,     314.29174,      +11.06140,  3977507.59, -1041979.88,  4997528.66,      50.739701,       -4.703865,  106185.22,  157455.75,   10050.02,             2290.96, 107822.80,  62041.05,           62204.32,   -265.11,   1717.15,        2276.13,  +1.43,  +0.44
  5,     UK001K,       1, -1.756781, 2459436.586793066002, 313.82774,  10.34070,              224.69711,  41.01686,       225.20115,       41.52577,    313.82774,     +10.34070,     313.70752,      +10.96536,  3975558.45, -1042206.86,  4997030.35,      50.749429,       -4.713980,  104642.59,  156197.87,   12074.61,              266.37, 103430.22,  50293.02,           60432.51,   -263.97,   1709.28,        2283.97,  +2.25,  +1.28
  6,     UK001K,       1, -1.716473, 2459436.586793532595, 313.10502,  10.23040,              225.47164,  40.59955,       225.97024,       41.09725,    313.10502,     +10.23040,     312.98552,      +10.84502,  3973187.65, -1042482.95,  4996424.24,      50.761267,       -4.726259,  102766.61,  154688.59,   14537.20,             2196.22, 102989.03,  61094.13,           59870.16,   -257.68,   1666.11,        2248.08,  +4.33,  +3.38
  0,     UK0020,       0,  0.009451, 2459436.586813507136, 290.91696,  38.91126,              275.13940,  49.86279,       275.09543,       49.84416,    290.91696,     +38.91126,     290.91891,      +38.87737,  3974605.91, -1042317.79,  4996786.82,      50.754185,       -4.726223,  103870.66,  135128.87,       0.00,              723.05,    -8.20,      0.00,           56308.13,     38.17,    -70.32,         122.13,  +2.67,  +2.02
  1,     UK0020,       0,  0.050303, 2459436.586813980248, 289.67039,  38.82791,              275.91126,  49.02789,       275.90770,       49.02639,    289.67039,     +38.82791,     289.67081,      +38.82514,  3972276.27, -1042589.08,  4996191.24,      50.765820,       -4.738300,  102026.70,  134331.50,    2419.83,             3142.88,     8.59,  59234.00,           56308.13,      3.10,     -5.71,           9.98,  +2.45,  +1.81
  2,     UK0020,       0,  0.091211, 2459436.586814453360, 288.34075,  38.76967,              276.76352,  48.15641,       276.74483,       48.14859,    288.34075,     +38.76967,     288.34250,      +38.75499,  3969821.62, -1042874.93,  4995563.69,      50.778084,       -4.751029,  100084.24,  133533.41,    4969.50,             5692.55,   151.92,  62326.95,           56308.13,     16.35,    -30.14,          52.97,  +1.93,  +1.30
  3,     UK0020,       0,  0.131875, 2459436.586814924143, 287.37432,  38.68943,              277.33206,  47.50131,       277.33732,       47.50350,    287.37432,     +38.68943,     287.37442,      +38.69359,  3968048.98, -1043081.36,  4995110.50,      50.786945,       -4.760277,   98681.51,  132986.63,    6810.76,             7533.81,  -398.80,  45279.83,           56308.13,     -4.62,      8.52,          15.03,  +2.16,  +1.54
  4,     UK0020,       0,  0.172887, 2459436.586815399118, 285.90341,  38.59877,              278.22802,  46.52414,       278.21234,       46.51765,    285.90341,     +38.59877,     285.90572,      +38.58625,  3965377.21, -1043392.49,  4994427.44,      50.800306,       -4.774144,   96568.08,  132203.15,    9585.96,            10309.01,   -36.05,  67668.00,           57692.52,     13.85,    -25.53,          45.32,  +4.04,  +3.43
  0,     UK0024,       0,  0.000000, 2459436.586813399103, 287.62804,  25.99961,              264.26176,  38.92585,       264.23722,       38.91129,    287.62804,     +25.99961,     287.63193,      +25.97586,  3975348.07, -1042231.36,  4996976.56,      50.750480,       -4.722394,  104458.10,  164194.32,       0.00,               47.84,  -127.50,      0.00,           58652.15,     25.31,    -63.98,          86.42,  +3.46,  +2.38
  1,     UK0024,       0,  0.040668, 2459436.586813869886, 286.62199,  25.85739,              264.96274,  38.19208,       264.94227,       38.18002,    286.62199,     +25.85739,     286.62559,      +25.83752,  3972739.20, -1042535.17,  4996309.59,      50.763507,       -4.735893,  102393.12,  163481.91,    2709.87,             2662.03,    94.47,  66633.90,           58652.15,     21.10,    -53.35,          72.38,  +3.67,  +2.60
  2,     UK0024,       0,  0.081252, 2459436.586814339738, 285.75780,  25.71294,              265.54049,  37.54528,       265.53981,       37.54488,    285.75780,     +25.71294,     285.75826,      +25.71227,  3970504.19, -1042795.44,  4995738.19,      50.774673,       -4.747494,  100624.32,  162906.35,    5031.40,             4983.55,    28.72,  57203.06,           58652.15,      0.71,     -1.79,           2.44,  +2.82,  +1.76
  3,     UK0024,       0,  0.121788, 2459436.586814808659, 284.95982,  25.58113,              266.07198,  36.94874,       266.08298,       36.95516,    284.95982,     +25.58113,     284.95832,      +25.59187,  3968452.59, -1043034.35,  4995213.69,      50.784927,       -4.758167,   99000.89,  162406.26,    7162.42,             7114.57,  -224.71,  52571.05,           58652.15,    -11.35,     28.71,          39.21,  +3.61,  +2.56
  4,     UK0024,       0,  0.162380, 2459436.586815278511, 284.04066,  25.47376,              266.71881,  36.29301,       266.69364,       36.27837,    284.04066,     +25.47376,     284.04612,      +25.44911,  3966122.11, -1043305.74,  4994617.88,      50.796580,       -4.770280,   97157.24,  161869.28,    9583.11,             9535.27,  -191.76,  59634.75,           58192.75,     26.00,    -65.73,          90.07,  +6.13,  +5.08

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.