Orbital Analysis for matched events on 20210929_002419.355_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 86.73° Bg 56.82° Vg 48.03km/s
mass 0.00381g, abs. mag 1.8
Path Details
------------
start -0.87° 52.69° 105.78km
end   -0.91° 52.60° 91.17km

Orbit Details
-------------
Semimajor axis 7.43A.U., eccentricity 0.87, inclination 84.65°, Period 20.23Y, LA Sun 185.79°, last Perihelion 2001-07-15

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: 2459486.516890690196
Time: 2021-09-29 00:24:19.396228 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003U and UK003X
 Convergence angle = 87.37111 deg
 R.A. =  78.29866  Dec = +79.61945 deg

Best intersection: Stations UK003U and UK003X with Qconv = 87.37 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3834613.10 +/- 49.37 m
 Y =    899874.35 +/- 41.39 m
 Z =   5135567.05 +/- 33.40 m
 Vx =     1789.50 +/- 207.24 m/s
 Vy =     8312.30 +/- 176.67 m/s
 Vz =    48556.45 +/- 132.27 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.580063e+03, +1.767066e+03, +1.302957e+03, +9.578747e+03, +5.960362e+03, +1.232141e+03
+1.767066e+03, +1.840375e+03, +1.158820e+03, +7.318253e+03, +7.254517e+03, +2.567226e+03
+1.302957e+03, +1.158820e+03, +1.165890e+03, +5.725316e+03, +4.312339e+03, +1.130180e+03
+9.578747e+03, +7.318253e+03, +5.725316e+03, +4.397907e+04, +3.064385e+04, +6.889383e+03
+5.960362e+03, +7.254517e+03, +4.312339e+03, +3.064385e+04, +3.347549e+04, +1.216549e+04
+1.232141e+03, +2.567226e+03, +1.130180e+03, +6.889383e+03, +1.216549e+04, +5.625959e+03

Timing offsets (from input data):
    UK003U: 0.000000 s
    UK003X: 0.000318 s

Reference point on the trajectory:
  Time: 2021-09-29 00:24:19.396228 UTC
  Lon     = +-0.865960 +/- 0.0005 deg
  Lat     = +52.695764 +/- 0.0003 deg
  Lat geo = +52.513159 +/- 0.0003 deg
  Ht      =  107404.05 +/- 57.26 m

  JD dynamic   = 2459486.517691900954 
  LST apparent = 13.2067124529 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  77.85063 +/- 1.2137 deg
  Dec       = +80.06761 +/- 0.2223 deg
  Azimuth   =  16.15142 +/- 0.3337 deg
  Elevation = +55.92174 +/- 0.2374 deg
  Vavg      =  49.69029 +/- 0.1079 km/s
  Vinit     =  49.29529 +/- 0.1011 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  78.65486 +/- 1.2137 deg
  Dec       = +79.76974 +/- 0.2223 deg
  Azimuth   =  16.72202 +/- 0.3337 deg
  Elevation = +55.84357 +/- 0.2374 deg
  Vavg      =  49.73588 +/- 0.1079 km/s
  Vinit     =  49.34087 +/- 0.1011 km/s
Radiant (geocentric, J2000):
  R.A.   =  79.51072 +/- 1.2808 deg
  Dec    = +80.13422 +/- 0.2194 deg
  Vg     =  48.02972 +/- 0.1038 km/s
  Vinf   =  49.29529 +/- 0.1011 km/s
  Zc     =  34.25369 +/- 0.2376 deg
  Zg     =  34.71287 +/- 0.2422 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  86.73293 +/- 0.4315 deg
  Bg     = +56.81556 +/- 0.1985 deg
  Vh     =  40.63867 +/- 0.0168 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 326.61467 +/- 2.5121 deg
  Bh     = +81.56402 +/- 0.1582 deg
  Vh_x   =  -4.97809 +/- 0.2044 km/s
  Vh_y   =   3.28062 +/- 0.1861 km/s
  Vh_z   = -40.19898 +/- 0.0318 km/s
Orbit:
  La Sun = 185.792730 +/- nan deg
  a      =   7.425492 +/- 0.0877 AU
  e      =   0.866959 +/- 0.0014
  i      =  84.647378 +/- 0.2396 deg
  peri   = 194.068522 +/- 0.6757 deg
  node   = 185.793769 +/- 0.0000 deg
  Pi     =  19.862291 +/- 0.6757 deg
  q      =   0.987898 +/- 0.0013 AU
  f      = 345.930382 +/- 0.6757 deg
  M      = 359.495607 +/- 0.0292 deg
  Q      =  13.863087 +/- 0.1746 AU
  n      =   0.048710 +/- 0.0008 deg/day
  T      =  20.234316 +/- 0.3616 years
  Last perihelion JD = 2452106.160248 (2001-07-15 15:50:45.447090) +/- 132.4149 days
  Tj     =   0.811932 +/- 0.0092
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.085937e-06, +1.035434e-06, -1.931656e-01, -7.112219e-12, -1.001298e-05, +3.669760e-07
q   , +1.035434e-06, +1.639359e-06, -1.097399e-01, +7.865434e-11, -1.541766e-05, -4.112934e-06
Tp  , -1.931656e-01, -1.097399e-01, +1.806113e+04, -3.821862e-07, +1.055858e+00, +2.040849e-02
node, -7.112219e-12, +7.865434e-11, -3.821862e-07, +7.015353e-15, -7.272437e-10, -3.664146e-10
peri, -1.001298e-05, -1.541766e-05, +1.055858e+00, -7.272437e-10, +1.450834e-04, +3.802990e-05
i   , +3.669760e-07, -4.112934e-06, +2.040849e-02, -3.664146e-10, +3.802990e-05, +1.913805e-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: UK003U
  Avg. res. = 3.979e-05 s
  Stddev    = 6.31e-03 s

Begin point on the trajectory:
  Lon =    -0.870403 +/- 0.0004 deg
  Lat =    52.686442 +/- 0.0002 deg
  Ht  = 105781.25 +/- 50.86 m
End point on the trajectory:
  Lon =    -0.911978 +/- 0.0004 deg
  Lat =    52.602226 +/- 0.0002 deg
  Ht  = 91166.17 +/- 47.17 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
    UK003U,   False,    -1.740490,    53.069201,  240.00,   0.000000,   0.000000,   105781.25,    91166.17,          0.009489,      5.25,     19.72,              54.23, 1.0000,    True,    True, {"ff_name": "FF_UK003U_20210929_002418_786_0535552.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,  11.925500,   0.000000,   104298.46,    92392.14,          0.015101,     45.97,      3.70,              26.80, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_002416_173_0536576.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,     UK003U,       1,  0.000000, 2459486.516890690196,  43.90175,  27.70095,              124.92717,  55.57239,       124.85447,       55.53707,     43.90175,     +27.70095,      43.96254,      +27.69451,  3834613.97,   899878.38,  5135590.55,      52.695877,       -0.865736,  107423.81,  129495.65,       0.00,               23.86,   231.83,      0.00,           45994.69,    118.39,    -31.49,         195.14,  +4.85,  +4.29
  1,     UK003U,       0,  0.040608, 2459486.516891160049,  43.87640,  26.98089,              125.65811,  54.98444,       125.67541,       54.99276,     43.87640,     +26.98089,      43.86214,      +26.98241,  3834541.98,   899543.96,  5133637.06,      52.686442,       -0.870403,  105781.25,  128341.10,    1983.21,             1959.35,   165.54,  48837.89,           45994.69,    -28.03,      7.48,          46.63,  +3.20,  +2.66
  2,     UK003U,       0,  0.081232, 2459486.516891630366,  43.76454,  26.22405,              126.51461,  54.40324,       126.52414,       54.40778,     43.76454,     +26.22405,      43.75695,      +26.22489,  3834466.79,   899194.70,  5131596.82,      52.676583,       -0.875269,  104065.94,  127157.39,    4054.50,             4030.64,   234.25,  50986.79,           45994.69,    -15.36,      4.09,          25.79,  +3.82,  +3.30
  3,     UK003U,       0,  0.121684, 2459486.516892098356,  43.67819,  25.67758,              127.12640,  53.98306,       127.12441,       53.98212,     43.67819,     +25.67758,      43.68035,      +25.67740,  3834413.27,   898946.10,  5130144.62,      52.669561,       -0.878782,  102845.12,  126327.29,    5528.79,             5504.93,  -285.54,  36445.56,           45994.69,      3.19,     -0.85,           5.39,  +2.41,  +1.90
  4,     UK003U,       0,  0.162396, 2459486.516892569605,  43.56087,  24.81115,              128.04799,  53.30225,       128.04585,       53.30125,     43.56087,     +24.81115,      43.56332,      +24.81096,  3834330.03,   898559.48,  5127886.18,      52.658637,       -0.884152,  100946.73,  125062.92,    7821.60,             7797.74,     0.35,  56317.72,           47280.56,      3.43,     -0.91,           5.85,  +2.15,  +1.66
  5,     UK003U,       0,  0.203040, 2459486.516893040389,  43.47655,  24.03327,              128.82514,  52.67603,       128.84691,       52.68613,     43.47655,     +24.03327,      43.45932,      +24.03518,  3834256.89,   898219.73,  5125901.52,      52.649031,       -0.888891,   99278.67,  123975.59,    9836.45,             9812.59,    11.65,  49573.21,           47975.49,    -34.74,      9.26,          59.82,  +1.75,  +1.28
  6,     UK003U,       0,  0.243660, 2459486.516893510241,  43.35815,  23.27074,              129.61291,  52.07441,       129.61439,       52.07510,     43.35815,     +23.27074,      43.35794,      +23.27087,  3834186.05,   897890.69,  5123979.42,      52.639723,       -0.893487,   97663.35,  122944.73,   11787.80,            11763.94,   -39.38,  48039.09,           48230.25,     -2.36,      0.63,           4.10,  +1.50,  +1.05
  7,     UK003U,       0,  0.284336, 2459486.516893981025,  43.24948,  22.44339,              130.42028,  51.40762,       130.42130,       51.40809,     43.24948,     +22.44339,      43.24982,      +22.44348,  3834110.68,   897540.59,  5121934.34,      52.629814,       -0.898367,   95944.87,  121873.03,   13864.00,            13840.15,    31.69,  51042.49,           48571.15,     -1.62,      0.43,           2.83,  +1.39,  +0.96
  8,     UK003U,       0,  0.324988, 2459486.516894451808,  43.14687,  21.64364,              131.17694,  50.75746,       131.17927,       50.75851,     43.14687,     +21.64364,      43.14630,      +21.64385,  3834039.07,   897207.93,  5119991.08,      52.620394,       -0.903012,   94312.13,  120878.71,   15836.83,            15812.98,     0.57,  48529.68,           48727.37,     -3.69,      0.98,           6.51,  +1.43,  +1.02
  9,     UK003U,       0,  0.365616, 2459486.516894921660,  43.02371,  20.86732,              131.92302,  50.13285,       131.89764,       50.12143,     43.02371,     +20.86732,      43.04638,      +20.86508,  3833970.42,   896889.07,  5118128.47,      52.611360,       -0.907472,   92747.32,  119948.20,   17727.78,            17703.92,  -111.26,  46542.90,           48687.67,     40.22,    -10.69,          71.56,  +1.65,  +1.26
 10,     UK003U,       0,  0.406268, 2459486.516895392444,  42.94316,  20.06583,              132.61524,  49.46319,       132.61512,       49.46314,     42.94316,     +20.06583,      42.94495,      +20.06582,  3833901.06,   896566.85,  5116246.24,      52.602226,       -0.911978,   91166.17,  119031.12,   19638.66,            19614.80,  -204.33,  47005.74,           48589.51,      0.19,     -0.05,           0.34,  +2.64,  +2.26
  0,     UK003X,       0,  0.088005, 2459486.516891704407, 115.69640,  55.01653,               42.05494,  33.84404,        42.05587,       33.84455,    115.69640,     +55.01653,     115.69519,      +55.01632,  3834476.98,   899242.05,  5131873.42,      52.677920,       -0.874659,  104298.46,  183804.88,       0.00,             3749.83,  -380.42,      0.00,           50898.57,      0.24,      2.97,           3.34,  +5.02,  +3.70
  1,     UK003X,       0,  0.128265, 2459486.516892170068, 115.84710,  54.63244,               42.31642,  33.51584,        42.31353,       33.51426,    115.84710,     +54.63244,     115.85248,      +54.63309,  3834379.06,   898787.21,  5129216.46,      52.665072,       -0.880944,  102064.91,  181415.14,    2697.39,             6447.22,   332.34,  66999.21,           50898.57,     -0.73,     -9.09,          10.37,  +5.32,  +4.03
  2,     UK003X,       0,  0.168417, 2459486.516892634798, 115.96442,  54.43351,               42.43147,  33.32879,        42.44888,       33.33825,    115.96442,     +54.43351,     115.93605,      +54.42962,  3834327.77,   898548.98,  5127824.87,      52.658340,       -0.884316,  100895.19,  180163.87,    4110.15,             7859.98,  -234.20,  35185.34,           50898.57,      4.43,     54.38,          62.47,  +4.13,  +2.85
  3,     UK003X,       0,  0.208645, 2459486.516893100459, 116.09550,  54.10306,               42.65121,  33.04377,        42.66812,       33.05294,    116.09550,     +54.10306,     116.06831,      +54.09930,  3834246.45,   898171.24,  5125618.27,      52.647660,       -0.889565,   99040.61,  178188.62,    6350.33,            10100.16,    22.93,  55687.06,           50898.57,      4.27,     52.31,          60.76,  +3.51,  +2.26
  4,     UK003X,       0,  0.248829, 2459486.516893565655, 116.18415,  53.82229,               42.84708,  32.81027,        42.85118,       32.81249,    116.18415,     +53.82229,     116.17841,      +53.82139,  3834179.30,   897859.32,  5123796.18,      52.638836,       -0.893929,   97509.36,  176561.22,    8200.14,            11949.97,  -108.15,  46033.51,           49881.69,      1.02,     12.60,          14.76,  +2.55,  +1.32
  5,     UK003X,       0,  0.289045, 2459486.516894031316, 116.29136,  53.49919,               43.06784,  32.53842,        43.06133,       32.53489,    116.29136,     +53.49919,     116.30327,      +53.50062,  3834103.42,   897506.85,  5121737.25,      52.628859,       -0.898839,   95779.27,  174728.52,   10290.40,            14040.23,    -0.35,  51975.79,           49890.31,     -1.60,    -19.84,          23.50,  +2.29,  +1.08
  6,     UK003X,       0,  0.329257, 2459486.516894496512, 116.37565,  53.15963,               43.31164,  32.26371,        43.27856,       32.24580,    116.37565,     +53.15963,     116.43111,      +53.16683,  3834026.16,   897147.96,  5119640.80,      52.618695,       -0.903835,   94017.85,  172868.59,   12418.75,            16168.59,   145.75,  52928.42,           50218.98,     -7.99,    -99.91,         119.59,  +2.48,  +1.29
  7,     UK003X,       0,  0.369497, 2459486.516894962173, 116.56152,  52.85417,               43.47365,  31.96879,        43.48175,       31.97316,    116.56152,     +52.85417,     116.54989,      +52.85241,  3833954.84,   896816.69,  5117705.65,      52.609308,       -0.908461,   92392.14,  171156.82,   14383.34,            18133.18,   126.69,  48821.77,           50239.37,      1.97,     24.24,          29.31,  +2.75,  +1.58

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.