Orbital Analysis for matched events on 20211015_052425.200_UK

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Summary for Event
-----------------
shower ID 333 OCU
Lg 120.18° Bg 47.06° Vg 56.09km/s
mass 0.03304g, abs. mag -0.4
best visual mag 0.7
Path Details
------------
start 0.18° 54.04° 111.03km
end   0.09° 53.98° 90.06km

Orbit Details
-------------
Semimajor axis 214.38A.U., eccentricity 1.00, inclination 100.94°, Period 3138.80Y, LA Sun 201.79°, last Perihelion 2021-10-05

Full details below
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Input measurement type: Right Ascension for meas1, Declination for meas2, epoch of date

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459502.725291674491
Time: 2021-10-15 05:24:25.280941 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK004B
 Convergence angle = 58.79344 deg
 R.A. = 144.08982  Dec = +64.42003 deg

Best intersection: Stations UK002X and UK004B with Qconv = 58.79 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -1006055.91 +/- 291.53 m
 Y =   3685766.79 +/- 86.12 m
 Z =   5232613.58 +/- 831.86 m
 Vx =   -19666.80 +/- 337.42 m/s
 Vy =    14336.78 +/- 854.99 m/s
 Vz =    51738.01 +/- 1338.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.392862e+04, -1.303837e+04, -1.318334e+05, +2.561336e+04, +6.192089e+04, -1.453392e+05
-1.303837e+04, +5.175511e+03, +3.970520e+04, -5.718051e+03, -1.655963e+04, +3.847097e+04
-1.318334e+05, +3.970520e+04, +4.001794e+05, -7.062682e+04, -1.928923e+05, +4.341390e+05
+2.561336e+04, -5.718051e+03, -7.062682e+04, +3.591933e+04, +2.025065e+04, -1.148346e+05
+6.192089e+04, -1.655963e+04, -1.928923e+05, +2.025065e+04, +1.134090e+05, -1.948990e+05
-1.453392e+05, +3.847097e+04, +4.341390e+05, -1.148346e+05, -1.948990e+05, +5.460713e+05

Timing offsets (from input data):
    UK002X: -0.246118 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-10-15 05:24:25.280941 UTC
  Lon     = ++0.194497 +/- 0.0039 deg
  Lat     = +54.044718 +/- 0.0032 deg
  Lat geo = +53.864860 +/- 0.0033 deg
  Ht      =  114776.75 +/- 762.98 m

  JD dynamic   = 2459502.726093344390 
  LST apparent = 105.2673700242 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 143.90855 +/- 0.9213 deg
  Dec       = +64.80753 +/- 0.4137 deg
  Azimuth   =  45.39305 +/- 0.9076 deg
  Elevation = +68.07791 +/- 0.4589 deg
  Vavg      =  56.00851 +/- 1.2625 km/s
  Vinit     =  57.17647 +/- 1.2835 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 144.41720 +/- 0.9213 deg
  Dec       = +64.64911 +/- 0.4137 deg
  Azimuth   =  45.91333 +/- 0.9076 deg
  Elevation = +67.89293 +/- 0.4589 deg
  Vavg      =  56.08319 +/- 1.2625 km/s
  Vinit     =  57.25115 +/- 1.2835 km/s
Radiant (geocentric, J2000):
  R.A.   = 143.97205 +/- 0.9198 deg
  Dec    = +64.94671 +/- 0.4142 deg
  Vg     =  56.09017 +/- 1.3079 km/s
  Vinf   =  57.17647 +/- 1.2835 km/s
  Zc     =  22.04875 +/- 0.4608 deg
  Zg     =  22.26286 +/- 0.4569 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 120.18160 +/- 0.2539 deg
  Bg     = +47.06288 +/- 0.5441 deg
  Vh     =  42.13223 +/- 1.3792 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 144.38692 +/- 0.9515 deg
  Bh     = +77.07455 +/- 0.4239 deg
  Vh_x   =   7.66163 +/- 0.4084 km/s
  Vh_y   =  -5.48783 +/- 0.4463 km/s
  Vh_z   = -41.06468 +/- 1.2889 km/s
Orbit:
  La Sun = 201.785003 +/- 0.0000 deg
  a      = 214.375538 +/- 59.1070 AU
  e      =   0.995416 +/- 0.1300
  i      = 100.942639 +/- 0.4617 deg
  peri   = 166.124707 +/- 0.7518 deg
  node   = 201.787053 +/- 0.0000 deg
  Pi     =   7.911760 +/- 0.7518 deg
  q      =   0.982671 +/- 0.0007 AU
  f      =  13.875077 +/- 0.7518 deg
  M      =   0.003078 +/- nan deg
  Q      = 427.768405 +/- 118.2139 AU
  n      =   0.000314 +/- 0.0374 deg/day
  T      = 3138.798800 +/- nan years
  Last perihelion JD = 2459492.922517 (2021-10-05 10:08:25.425771) +/- 0.3480 days
  Tj     =  -0.208762 +/- 0.7031
Shower association:
  IAU No.  =  333
  IAU code =  OCU

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +5.444912e-03, +3.379185e-05, +4.171860e-02, +2.358071e-08, +3.823956e-02, -4.370784e-03
q   , +3.379185e-05, +2.831450e-07, +2.812278e-04, +3.342678e-10, +2.706006e-04, -7.445229e-05
Tp  , +4.171860e-02, +2.812278e-04, +3.265431e-01, +2.296982e-07, +3.031957e-01, -4.581066e-02
node, +2.358071e-08, +3.342678e-10, +2.296982e-07, +1.635600e-12, +2.442829e-07, -4.108090e-07
peri, +3.823956e-02, +2.706006e-04, +3.031957e-01, +2.442829e-07, +2.837133e-01, -5.049088e-02
i   , -4.370784e-03, -7.445229e-05, -4.581066e-02, -4.108090e-07, -5.049088e-02, +1.037313e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 8.321456
 a2 = 5.981373

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 2.137e-06 s
  Stddev    = 1.46e-03 s

Begin point on the trajectory:
  Lon =     0.178388 +/- 0.0028 deg
  Lat =    54.035365 +/- 0.0024 deg
  Ht  = 111029.19 +/- 540.81 m
End point on the trajectory:
  Lon =     0.086356 +/- 0.0021 deg
  Lat =    53.982780 +/- 0.0020 deg
  Ht  = 90063.22 +/- 419.01 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
    UK002X,   False,    -3.059440,    54.994170,   18.00,  12.237404,   6.122760,   106621.46,    96184.04,          0.014636,     62.52,     20.47,              58.44, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211015_052416_102_0652800.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.000000,   0.000000,   111029.19,    90063.22,          0.015984,     24.97,     21.68,              10.18, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211015_052419_240_1052160.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,     UK002X,       0,  0.165869, 2459502.725293642841, 158.01587,   5.21264,              116.07264,  23.19448,       116.06117,       23.18972,    158.01587,      +5.21264,     158.02812,       +5.21402, -1003031.88,  3683562.32,  5224658.18,      54.024345,       +0.159051,  106621.46,  259569.93,       0.00,             8791.64,   102.42,      0.00,           56942.08,    -16.28,    -49.82,          41.65,  +3.58,  +1.51
  1,     UK002X,       0,  0.206197, 2459502.725294109434, 158.07236,   4.82939,              116.23554,  22.83732,       116.23557,       22.83733,    158.07236,      +4.82939,     158.07321,       +4.82939, -1002340.21,  3683058.11,  5222838.60,      54.019677,       +0.150853,  104756.35,  258574.90,    2010.84,            10802.48,  -192.55,  49862.15,           56942.08,      0.04,      0.11,           0.09,  +1.79,  -0.27
  2,     UK002X,       0,  0.246573, 2459502.725294576958, 158.15569,   4.39193,              116.40294,  22.41971,       116.43435,       22.43273,    158.15569,      +4.39193,     158.12506,       +4.38812, -1001553.21,  3682484.40,  5220768.20,      54.014361,       +0.141545,  102634.25,  257458.41,    4298.87,            13090.51,  -213.08,  56668.14,           56942.08,     44.52,    135.87,         114.54,  +0.97,  -1.08
  3,     UK002X,       0,  0.286997, 2459502.725295044947, 158.19448,   3.88300,              116.64997,  21.96343,       116.66088,       21.96795,    158.19448,      +3.88300,     158.18467,       +3.88167, -1000658.25,  3681831.99,  5218413.82,      54.008311,       +0.130979,  100221.21,  256208.99,    6900.74,            15692.37,    77.49,  64364.29,           56942.08,     15.41,     47.10,          39.89,  +0.87,  -1.17
  4,     UK002X,       0,  0.327365, 2459502.725295512006, 158.23053,   3.44367,              116.85954,  21.56793,       116.85558,       21.56629,    158.23053,      +3.44367,     158.23592,       +3.44415,  -999891.98,  3681273.39,  5216397.97,      54.003127,       +0.121904,   98155.22,  255154.20,    9128.48,            17920.12,    -2.86,  55186.02,           57324.62,     -5.58,    -17.06,          14.51,  +0.81,  -1.22
  5,     UK002X,       0,  0.367717, 2459502.725295979064, 158.28359,   3.02332,              117.04187,  21.17977,       117.04190,       21.17978,    158.28359,      +3.02332,     158.28511,       +3.02332,  -999160.85,  3680740.41,  5214474.55,      53.998176,       +0.113235,   96184.04,  254161.54,   11254.09,            20045.72,  -184.45,  52676.47,           56770.33,      0.04,      0.13,           0.11,  +1.62,  -0.41
  0,     UK004B,       1,  0.000000, 2459502.725291674491, 165.32110,  70.73986,               33.70658,  58.80107,        33.76416,       58.78723,    165.32110,     +70.73986,     165.36465,      +70.71029, -1006055.91,  3685766.79,  5232613.58,      54.044718,       +0.194832,  114776.75,  133727.06,       0.00,                0.00,   794.56,      0.00,           52222.73,     50.29,    -57.97,         118.38,  +5.08,  +4.45
  1,     UK004B,       0,  0.080260, 2459502.725292603485, 166.17932,  70.86231,               33.47861,  58.51720,        33.50170,       58.51168,    166.17932,     +70.86231,     166.19679,      +70.85030, -1004666.36,  3684753.83,  5228958.05,      54.035365,       +0.178388,  111029.19,  129743.51,    4039.78,             4039.78,   245.36,  50333.65,           52222.73,     19.71,    -22.67,          47.75,  +2.25,  +1.68
  2,     UK004B,       0,  0.120408, 2459502.725293068215, 166.66100,  70.93717,               33.33721,  58.35919,        33.35525,       58.35488,    166.66100,     +70.93717,     166.67476,      +70.92772, -1003914.04,  3684205.41,  5226978.92,      54.030295,       +0.169494,  109000.36,  127588.66,    6226.95,             6226.95,   137.01,  54477.74,           52222.73,     15.19,    -17.48,          37.43,  +1.65,  +1.12
  3,     UK004B,       0,  0.160560, 2459502.725293532945, 167.16657,  71.00562,               33.20679,  58.19440,        33.20676,       58.19441,    167.16657,     +71.00562,     167.16722,      +71.00564, -1003170.24,  3683663.19,  5225022.18,      54.025279,       +0.160696,  106994.57,  125459.35,    8389.37,             8389.37,     3.68,  53855.84,           52222.73,     -0.03,      0.03,           0.07,  +1.41,  +0.92
  4,     UK004B,       0,  0.200716, 2459502.725293997675, 167.70722,  71.05447,               33.11177,  58.01903,        33.05764,       58.03186,    167.70722,     +71.05447,     167.66949,      +71.08327, -1002442.21,  3683132.47,  5223106.94,      54.020366,       +0.152078,  105031.40,  123376.33,   10505.94,            10505.94,  -175.73,  52708.59,           52504.39,    -44.50,     50.91,         113.04,  +1.34,  +0.88
  5,     UK004B,       0,  0.240888, 2459502.725294462405, 168.26440,  71.16422,               32.90016,  57.84025,        32.88772,       57.84321,    168.26440,     +71.16422,     168.25659,      +71.17089, -1001629.20,  3682539.79,  5220968.11,      54.014875,       +0.142469,  102839.15,  121052.02,   12869.59,            12869.59,  -108.97,  58838.22,           53331.23,    -10.06,     11.57,          26.13,  +0.88,  +0.47
  6,     UK004B,       0,  0.281084, 2459502.725294927601, 168.88490,  71.28705,               32.66225,  57.64316,        32.70195,       57.63366,    168.88490,     +71.28705,     168.91404,      +71.26557, -1000762.95,  3681908.31,  5218689.24,      54.009019,       +0.132238,  100503.49,  118577.56,   15388.00,            15388.00,   111.17,  62653.31,           54517.59,     31.50,    -36.45,          83.81,  +0.90,  +0.53
  7,     UK004B,       0,  0.321264, 2459502.725295392796, 169.51941,  71.34390,               32.54552,  57.44161,        32.53464,       57.44420,    169.51941,     +71.34390,     169.51326,      +71.34983, -1000009.32,  3681358.93,  5216706.64,      54.003921,       +0.123311,   98471.56,  116426.00,   17579.00,            17579.00,     4.83,  54529.69,           55066.93,     -8.52,      9.82,          23.04,  +0.74,  +0.41
  8,     UK004B,       0,  0.361432, 2459502.725295857526, 170.10066,  71.41567,               32.39991,  57.25878,        32.37666,       57.26431,    170.10066,     +71.41567,     170.08644,      +71.42846,  -999318.61,  3680855.41,  5214889.58,      53.999245,       +0.115113,   96609.35,  114455.22,   19587.07,            19587.07,  -283.77,  49991.69,           55039.67,    -17.98,     20.72,          49.44,  +1.35,  +1.06
  9,     UK004B,       0,  0.401652, 2459502.725296323188, 170.83455,  71.52601,               32.17741,  57.03076,        32.17688,       57.03089,    170.83455,     +71.52601,     170.83588,      +71.52630,  -998459.77,  3680229.33,  5212630.20,      53.993426,       +0.104956,   94293.99,  112007.50,   22083.94,            22083.94,   -86.54,  62080.35,           55376.13,     -0.40,      0.46,           1.13,  +1.18,  +0.93
 10,     UK004B,       0,  0.441864, 2459502.725296788849, 171.56061,  71.62927,               31.96587,  56.80721,        31.98374,       56.80294,    171.56061,     +71.62927,     171.57414,      +71.61925,  -997656.27,  3679643.60,  5210516.43,      53.987978,       +0.095439,   92127.92,  109719.43,   24419.90,            24419.90,   -49.75,  58091.24,           55681.49,     13.35,    -15.47,          38.43,  +1.44,  +1.24
 11,     UK004B,       0,  0.482076, 2459502.725297254045, 172.28561,  71.73205,               31.75300,  56.58623,        31.79387,       56.57646,    172.28561,     +71.73205,     172.31383,      +71.70893,  -996890.34,  3679085.25,  5208501.48,      53.982780,       +0.086356,   90063.22,  107540.21,   26646.66,            26646.66,  -122.18,  55375.30,           55851.98,     30.04,    -34.91,          88.33,  +2.38,  +2.22

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.