Orbital Analysis for matched events on 20211103_061340.477_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 115.53° Bg 14.46° Vg 61.99km/s
mass 0.01051g, abs. mag 0.3
best visual mag 0.5
Path Details
------------
start -4.06° 52.74° 119.96km
end   -4.02° 52.78° 102.81km

Orbit Details
-------------
Semimajor axis 1.74A.U., eccentricity 0.59, inclination 150.97°, Period 2.30Y, LA Sun 220.75°, last Perihelion 2019-09-02

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: 2459521.759496265557
Time: 2021-11-03 06:13:40.477344 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0042 and UK004M
 Convergence angle = 6.11780 deg
 R.A. = 121.25446  Dec = +34.36301 deg

Best intersection: Stations UK0042 and UK004M with Qconv = 6.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2642630.26 +/- 279.23 m
 Y =   2925862.98 +/- 391.84 m
 Z =   5148451.24 +/- 945.90 m
 Vx =   -26574.24 +/- 1163.27 m/s
 Vy =    43995.20 +/- 4356.93 m/s
 Vz =    36379.32 +/- 4871.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.850540e+04, -5.304912e+04, -1.318380e+05, +1.116292e+05, -1.278051e+05, -5.103805e+05
-5.304912e+04, +7.499453e+04, +1.831951e+05, -1.466855e+05, +1.749615e+05, +6.873669e+05
-1.318380e+05, +1.831951e+05, +4.590463e+05, -3.758447e+05, +4.393805e+05, +1.746832e+06
+1.116292e+05, -1.466855e+05, -3.758447e+05, +3.828404e+05, -4.160586e+05, -1.637925e+06
-1.278051e+05, +1.749615e+05, +4.393805e+05, -4.160586e+05, +4.888969e+05, +1.784138e+06
-5.103805e+05, +6.873669e+05, +1.746832e+06, -1.637925e+06, +1.784138e+06, +7.645810e+06

Timing offsets (from input data):
    UK0042: 0.002219 s
    UK004M: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 06:13:40.477344 UTC
  Lon     = +-4.058805 +/- 0.0009 deg
  Lat     = +52.737808 +/- 0.0017 deg
  Lat geo = +52.555631 +/- 0.0018 deg
  Ht      =  119965.28 +/- 1040.70 m

  JD dynamic   = 2459521.760297006462 
  LST apparent = 132.0882488220 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 121.13306 +/- 0.3582 deg
  Dec       = +35.29066 +/- 2.6723 deg
  Azimuth   = 208.30809 +/- 1.6767 deg
  Elevation = +70.90679 +/- 2.6166 deg
  Vavg      =  62.78881 +/- 3.3299 km/s
  Vinit     =  62.97001 +/- 4.1182 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 121.44804 +/- 0.3582 deg
  Dec       = +35.31899 +/- 2.6723 deg
  Azimuth   = 207.59935 +/- 1.6767 deg
  Elevation = +71.02276 +/- 2.6166 deg
  Vavg      =  62.74485 +/- 3.3299 km/s
  Vinit     =  62.92606 +/- 4.1182 km/s
Radiant (geocentric, J2000):
  R.A.   = 120.71416 +/- 0.3620 deg
  Dec    = +35.21249 +/- 2.7230 deg
  Vg     =  61.98620 +/- 4.1881 km/s
  Vinf   =  62.97001 +/- 4.1182 km/s
  Zc     =  18.93300 +/- 2.6143 deg
  Zg     =  19.08344 +/- 2.6652 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 115.52738 +/- 0.3497 deg
  Bg     = +14.45683 +/- 2.7190 deg
  Vh     =  35.76745 +/- 4.5306 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 100.60445 +/- 1.3224 deg
  Bh     = +25.63620 +/- 3.8916 deg
  Vh_x   =   5.93424 +/- 1.2843 km/s
  Vh_y   = -31.69575 +/- 3.3384 km/s
  Vh_z   = -15.47498 +/- 3.5409 km/s
Orbit:
  La Sun = 220.746224 +/- 0.0000 deg
  a      =   1.742404 +/- 0.6084 AU
  e      =   0.593636 +/- 0.1742
  i      = 150.971910 +/- 4.1164 deg
  peri   = 256.618465 +/- 25.8872 deg
  node   = 220.749543 +/- 0.0004 deg
  Pi     = 117.368008 +/- 25.8875 deg
  q      =   0.708050 +/- 0.1399 AU
  f      = 283.382983 +/- 25.8869 deg
  M      = 339.915069 +/- nan deg
  Q      =   2.776758 +/- 1.2247 AU
  n      =   0.428530 +/- 0.3410 deg/day
  T      =   2.299979 +/- nan years
  Last perihelion JD = 2458728.547592 (2019-09-02 01:08:31.916341) +/- 165.1289 days
  Tj     =   2.172543 +/- 1.9192
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.447293e-03, +1.024107e-03, -4.388002e+00, -1.517124e-06, -2.669665e-01, -3.463522e-02
q   , +1.024107e-03, +8.540954e-03, -1.398424e+01, -2.114440e-05, -1.617138e+00, -2.663020e-01
Tp  , -4.388002e+00, -1.398424e+01, +2.868789e+04, +3.256336e-02, +2.791621e+03, +4.401140e+02
node, -1.517124e-06, -2.114440e-05, +3.256336e-02, +5.477723e-08, +3.948286e-03, +6.786297e-04
peri, -2.669665e-01, -1.617138e+00, +2.791621e+03, +3.948286e-03, +3.103795e+02, +5.062677e+01
i   , -3.463522e-02, -2.663020e-01, +4.401140e+02, +6.786297e-04, +5.062677e+01, +8.623558e+00

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 114.940461
 a2 = -0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK004M
  Avg. res. = 1.374e-06 s
  Stddev    = 1.17e-03 s

Begin point on the trajectory:
  Lon =    -4.058796 +/- 0.0009 deg
  Lat =    52.737818 +/- 0.0017 deg
  Ht  = 119961.62 +/- 1049.20 m
End point on the trajectory:
  Lon =    -4.018909 +/- 0.0004 deg
  Lat =    52.784039 +/- 0.0016 deg
  Ht  = 102811.47 +/- 501.17 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
    UK0042,   False,    -4.169906,    52.265619,  152.00,   0.000080,  54.148925,   112449.99,   103008.34,          0.010205,     17.32,     13.53,              44.96, 1.0000,    True,    True, {"ff_name": "FF_UK0042_20211103_061337_379_1151744.fits"}
    UK004M,   False,    -3.939979,    52.538916,   19.00, 148.742926,   0.000000,   119961.62,   102811.47,          0.014460,     25.81,     16.04,              30.28, 1.0000,    True,    True, {"ff_name": "FF_UK004M_20211103_061337_371_1149952.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,     UK0042,       1,  0.035817, 2459521.759496645536, 147.74153,  76.77550,                8.38501,  64.77265,         8.46998,       64.77858,    147.74153,     +76.77550,     147.87704,      +76.75586, -2641357.99,  2923756.66,  5146709.54,      52.745469,       -4.052142,  117116.43,  129033.00,       0.00,             3014.76,   134.08,      0.00,           62462.18,     50.83,    -65.15,         132.09,  +5.24,  +4.69
  1,     UK0042,       0,  0.117093, 2459521.759497586172, 151.88987,  78.02303,                9.03728,  63.25891,         9.00076,       63.25636,    151.88987,     +78.02303,     151.82579,      +78.03290, -2639273.87,  2920306.29,  5143856.45,      52.758033,       -4.041324,  112449.99,  125474.90,    4938.49,             7953.26,   -45.38,  60762.02,           62462.18,    -22.44,     28.69,          59.87,  +0.97,  +0.48
  2,     UK0042,       0,  0.157809, 2459521.759498057421, 154.35431,  78.71165,                9.26124,  62.41605,         9.27059,       62.41670,    154.35431,     +78.71165,     154.37238,      +78.70890, -2638173.36,  2918484.32,  5142349.88,      52.764673,       -4.035594,  109986.03,  123634.24,    7546.26,            10561.02,    -1.50,  64047.65,           62462.18,      5.81,     -7.44,          15.76,  +0.76,  +0.30
  3,     UK0042,       0,  0.198549, 2459521.759498529136, 157.39211,  79.37838,                9.55690,  61.54534,         9.53544,       61.54384,    157.39211,     +79.37838,     157.35108,      +79.38526, -2637063.45,  2916646.81,  5140830.45,      52.771376,       -4.029806,  107501.14,  121806.17,   10176.28,            13191.04,    63.12,  64556.26,           62462.18,    -13.53,     17.32,          37.22,  +0.53,  +0.10
  4,     UK0042,       0,  0.239265, 2459521.759499000385, 160.53259,  80.01165,                9.75528,  60.70444,         9.77521,       60.70583,    160.53259,     +80.01165,     160.57382,      +80.00470, -2636028.58,  2914933.51,  5139413.73,      52.777629,       -4.024416,  105184.30,  120128.34,   12628.51,            15643.28,   -48.53,  60227.77,           62355.25,     12.70,    -16.28,          35.46,  +1.10,  +0.70
  5,     UK0042,       0,  0.279953, 2459521.759499471169, 164.08534,  80.56602,               10.00340,  59.89763,         9.99433,       59.89699,    164.08534,     +80.56602,     164.06787,      +80.56945, -2635056.59,  2913324.33,  5138083.11,      52.783507,       -4.019358,  103008.34,  118576.91,   14931.72,            17946.48,  -307.45,  56606.45,           61659.42,     -5.85,      7.49,          16.53,  +2.81,  +2.44
  0,     UK004M,       0,  0.000000, 2459521.759496265557, 123.68005,  62.94370,              339.92891,  78.66600,       340.07654,       78.68392,    123.68005,     +62.94370,     123.75474,      +62.94102, -2642628.63,  2925860.28,  5148449.00,      52.737818,       -4.058796,  119961.62,  122275.52,       0.00,                3.87,  -621.40,      0.00,           68260.22,     38.37,    -61.79,         122.69,  +3.38,  +2.94
  1,     UK004M,       0,  0.040324, 2459521.759496732149, 123.88910,  63.55243,              341.69447,  78.16227,       341.62733,       78.15426,    123.88910,     +63.55243,     123.85361,      +63.55375, -2641459.97,  2923925.49,  5146849.14,      52.744855,       -4.052719,  117344.76,  119831.25,    2769.25,             2773.12,  -391.35,  68675.01,           68260.22,    -17.63,     28.29,          57.38,  +2.90,  +2.51
  2,     UK004M,       0,  0.080736, 2459521.759497200139, 123.98741,  64.24556,              343.25270,  77.54996,       343.22402,       77.54659,    123.98741,     +64.24556,     123.97160,      +64.24615, -2640194.10,  2921829.78,  5145116.21,      52.752483,       -4.046114,  114510.39,  117199.84,    5768.82,             5772.69,    63.47,  74224.71,           68260.22,     -7.61,     12.23,          25.36,  +2.16,  +1.82
  3,     UK004M,       0,  0.121084, 2459521.759497667197, 124.05362,  64.82725,              344.41265,  77.02646,       344.44390,       77.03010,    124.05362,     +64.82725,     124.07264,      +64.82659, -2639174.52,  2920141.81,  5143720.44,      52.758632,       -4.040821,  112227.55,  115093.52,    8184.81,             8188.68,   -61.26,  59878.77,           68260.22,      8.38,    -13.48,          28.45,  +0.81,  +0.50
  4,     UK004M,       0,  0.161488, 2459521.759498134721, 124.18963,  65.51102,              345.75279,  76.41321,       345.76711,       76.41486,    124.18963,     +65.51102,     124.19931,      +65.51069, -2638018.76,  2918228.38,  5142138.24,      52.765607,       -4.034792,  109639.91,  112720.72,   10923.48,            10927.35,   133.18,  67782.26,           67525.73,      3.89,     -6.26,          13.49,  +0.72,  +0.46
  5,     UK004M,       0,  0.201856, 2459521.759498601779, 124.32715,  66.13648,              346.88887,  75.84731,       346.87610,       75.84585,    124.32715,     +66.13648,     124.31951,      +66.13679, -2637001.58,  2916544.38,  5140745.75,      52.771749,       -4.029500,  107362.62,  110646.39,   13333.78,            13337.65,     1.50,  59708.11,           66199.33,     -3.51,      5.65,          12.41,  +0.68,  +0.46
  6,     UK004M,       0,  0.242244, 2459521.759499069303, 124.47568,  66.79073,              347.98146,  75.24961,       347.94621,       75.24562,    124.47568,     +66.79073,     124.45187,      +66.79162, -2635976.73,  2914847.67,  5139342.75,      52.777943,       -4.024162,  105068.23,  108570.35,   15762.26,            15766.14,  -113.25,  60128.88,           65075.01,     -9.83,     15.81,          35.37,  +0.89,  +0.71
  7,     UK004M,       0,  0.282652, 2459521.759499536827, 124.58070,  67.46085,              348.93761,  74.62590,       348.95422,       74.62777,    124.58070,     +67.46085,     124.59431,      +67.46041, -2634968.65,  2913178.73,  5137962.72,      52.784039,       -4.018909,  102811.47,  106542.75,   18151.00,            18154.88,  -269.00,  59115.51,           64109.53,      4.69,     -7.56,          17.22,  +2.14,  +2.00

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.