Orbital Analysis for matched events on 20211103_185543.790_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 119.47° Bg 48.17° Vg 55.86km/s
mass 0.01083g, abs. mag 1.0
best visual mag 2.0
Path Details
------------
start 0.33° 54.16° 105.93km
end   0.32° 54.01° 96.26km

Orbit Details
-------------
Semimajor axis -17.80A.U., eccentricity 1.05, inclination 98.79°, Period nanY, LA Sun 221.28°, 

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: 2459522.288701278623
Time: 2021-11-03 18:55:43.802020 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK004B
 Convergence angle = 38.56327 deg
 R.A. = 143.68524  Dec = +66.54667 deg

Best intersection: Stations UK000Z and UK004B with Qconv = 38.56 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3209497.63 +/- 73.88 m
 Y =  -2044018.45 +/- 51.04 m
 Z =   5232780.29 +/- 146.69 m
 Vx =   -18382.89 +/- 239.03 m/s
 Vy =    13057.31 +/- 321.98 m/s
 Vz =    52298.24 +/- 763.28 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.825611e+03, +1.244230e+03, +2.080774e+03, +1.076633e+03, +4.870903e+03, +2.092929e+04
+1.244230e+03, +2.275807e+03, +5.839334e+03, +4.664805e+03, +6.039175e+03, +1.520495e+04
+2.080774e+03, +5.839334e+03, +1.722440e+04, +1.048305e+04, +1.043959e+04, +3.351000e+04
+1.076633e+03, +4.664805e+03, +1.048305e+04, +3.149889e+04, +3.750414e+04, +8.497434e+04
+4.870903e+03, +6.039175e+03, +1.043959e+04, +3.750414e+04, +5.675838e+04, +1.239482e+05
+2.092929e+04, +1.520495e+04, +3.351000e+04, +8.497434e+04, +1.239482e+05, +3.424623e+05

Timing offsets (from input data):
    UK000Z: 0.000003 s
    UK004B: -0.001583 s

Reference point on the trajectory:
  Time: 2021-11-03 18:55:43.802020 UTC
  Lon     = ++0.325836 +/- 0.0010 deg
  Lat     = +54.156410 +/- 0.0009 deg
  Lat geo = +53.976531 +/- 0.0009 deg
  Ht      =  105827.90 +/- 115.75 m

  JD dynamic   = 2459522.289502153173 
  LST apparent = 327.5083440743 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 144.61393 +/- 0.9500 deg
  Dec       = +66.67683 +/- 0.3354 deg
  Azimuth   =   1.33440 +/- 0.4378 deg
  Elevation = +30.85297 +/- 0.3431 deg
  Vavg      =  52.56885 +/- 0.5304 km/s
  Vinit     =  56.95199 +/- 0.6843 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 143.91023 +/- 0.9500 deg
  Dec       = +66.66231 +/- 0.3354 deg
  Azimuth   =   1.65943 +/- 0.4378 deg
  Elevation = +30.84924 +/- 0.3431 deg
  Vavg      =  52.57508 +/- 0.5304 km/s
  Vinit     =  56.95822 +/- 0.6843 km/s
Radiant (geocentric, J2000):
  R.A.   = 144.22831 +/- 0.9383 deg
  Dec    = +66.14427 +/- 0.3555 deg
  Vg     =  55.85981 +/- 0.6983 km/s
  Vinf   =  56.95199 +/- 0.6843 km/s
  Zc     =  59.32685 +/- 0.3431 deg
  Zg     =  59.95871 +/- 0.3641 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 119.47060 +/- 0.7537 deg
  Bg     = +48.16547 +/- 0.1467 deg
  Vh     =  42.87776 +/- 0.7171 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  79.87753 +/- 0.9226 deg
  Bh     = +76.08630 +/- 0.6197 deg
  Vh_x   =  -1.81208 +/- 0.2353 km/s
  Vh_y   = -10.14990 +/- 0.5672 km/s
  Vh_z   = -41.61969 +/- 0.6015 km/s
Orbit:
  La Sun = 221.276435 +/- -0.0000 deg
  a      = -17.803434 +/- 16.0125 AU
  e      =   1.053799 +/- 0.0648
  i      =  98.786068 +/- 0.2829 deg
  peri   = 201.103760 +/- 0.5781 deg
  node   = 221.275665 +/- 0.0000 deg
  Pi     =  62.379425 +/- 0.5781 deg
  q      =   0.957803 +/- 0.0026 AU
  f      = 338.896140 +/- 0.5781 deg
  M      =        nan +/- nan deg
  Q      = -36.564672 +/- 32.0245 AU
  n      =   0.013120 +/- 0.0221 deg/day
  T      =        nan +/- nan years
  Last perihelion JD = NaN 
  Tj     =  -0.480136 +/- 0.3584
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +2.474637e-03, -8.252042e-05, -1.203163e+03, -1.929843e-08, +1.380313e-02, +1.107133e-02
q   , -8.252042e-05, +4.140647e-06, +4.445153e+01, +6.777378e-10, -9.425428e-04, -3.965228e-04
Tp  , -1.203163e+03, +4.445153e+01, +9.851172e+08, +1.083959e-02, -8.000628e+03, -6.191523e+03
node, -1.929843e-08, +6.777378e-10, +1.083959e-02, +1.810313e-13, -1.188208e-07, -1.029217e-07
peri, +1.380313e-02, -9.425428e-04, -8.000628e+03, -1.188208e-07, +2.446553e-01, +7.083364e-02
i   , +1.107133e-02, -3.965228e-04, -6.191523e+03, -1.029217e-07, +7.083364e-02, +5.869033e-02

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.690506
 a2 = 20.649817

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 7.772e-06 s
  Stddev    = 2.79e-03 s

Begin point on the trajectory:
  Lon =     0.325898 +/- 0.0011 deg
  Lat =    54.157987 +/- 0.0004 deg
  Ht  = 105934.52 +/- 105.44 m
End point on the trajectory:
  Lon =     0.318709 +/- 0.0014 deg
  Lat =    54.014412 +/- 0.0005 deg
  Ht  = 96260.42 +/- 118.31 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,   0.261707,  23.348195,   105934.52,    96260.42,          0.022348,     19.12,     77.67,              41.12, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20211103_185540_482_0161024.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.768458,  20.608994,   105761.49,    97175.96,          0.018872,     30.06,     29.32,              32.52, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20211103_185541_474_0171520.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,  0.000855, 2459522.288701412268,  71.01774,  47.87556,               47.61783,  28.99044,        47.62660,       29.02339,     71.01774,     +47.87556,      70.97669,      +47.89519,  3209430.52, -2043970.78,  5232971.21,      54.157987,       +0.325898,  105934.52,  212385.15,       0.00,              207.90,   814.73,      0.00,           55404.14,   -121.79,     29.92,         121.80,  +4.11,  +2.47
  1,     UK000Z,       0,  0.040963, 2459522.288701876532,  70.66401,  47.63607,               48.00283,  28.96846,        47.99742,       28.94830,     70.66401,     +47.63607,      70.68929,      +47.62411,  3210039.06, -2044403.02,  5231239.95,      54.143686,       +0.325163,  104967.83,  210956.00,    1885.31,             1677.40,    -0.01,  47005.81,           55404.14,     74.01,    -18.23,          74.53,  +3.64,  +2.02
  2,     UK000Z,       0,  0.081175, 2459522.288702341728,  70.34729,  47.27700,               48.45785,  28.84151,        48.46091,       28.85269,     70.34729,     +47.27700,      70.33378,      +47.28360,  3210788.70, -2044935.49,  5229107.25,      54.126062,       +0.324296,  103777.51,  209207.09,    4207.79,             3999.88,    32.32,  57755.83,           55404.14,    -40.79,     10.03,          41.41,  +2.44,  +0.84
  3,     UK000Z,       0,  0.121383, 2459522.288702806924,  69.97803,  46.90943,               48.95067,  28.73306,        48.95504,       28.74879,     69.97803,     +46.90943,      69.95909,      +46.91865,  3211575.70, -2045494.49,  5226868.30,      54.107554,       +0.323395,  102528.54,  207383.53,    6645.97,             6438.07,   180.58,  60639.32,           55404.14,    -56.89,     13.99,          58.27,  +2.25,  +0.67
  4,     UK000Z,       0,  0.161547, 2459522.288703272119,  69.65208,  46.60448,               49.37179,  28.65307,        49.37355,       28.65933,     69.65208,     +46.60448,      69.64505,      +46.60813,  3212233.41, -2045961.66,  5224997.15,      54.092080,       +0.322615,  101485.24,  205868.05,    8683.63,             8475.72,   -69.19,  50733.34,           55072.36,    -22.49,      5.53,          23.21,  +2.23,  +0.66
  5,     UK000Z,       0,  0.201731, 2459522.288703736849,  69.35910,  46.28146,               49.78799,  28.54551,        49.79441,       28.56793,     69.35910,     +46.28146,      69.33233,      +46.29447,  3212886.35, -2046425.45,  5223139.56,      54.076714,       +0.321839,  100449.96,  204372.49,   10706.51,            10498.61,  -334.86,  50340.60,           54301.55,    -80.06,     19.68,          83.20,  +2.15,  +0.60
  6,     UK000Z,       0,  0.241935, 2459522.288704202510,  68.94396,  45.89208,               50.32717,  28.44566,        50.32834,       28.44968,     68.94396,     +45.89208,      68.94008,      +45.89439,  3213702.03, -2047004.82,  5220819.02,      54.057511,       +0.320913,   99157.31,  202518.95,   13233.55,            13025.64,   -97.52,  62855.31,           54943.30,    -14.22,      3.50,          14.92,  +2.89,  +1.36
  7,     UK000Z,       0,  0.282079, 2459522.288704667240,  68.58178,  45.59619,               50.76551,  28.39266,        50.75409,       28.35386,     68.58178,     +45.59619,      68.63058,      +45.57389,  3214343.94, -2047460.77,  5218992.81,      54.042394,       +0.320148,   98140.50,  201068.94,   15222.26,            15014.36,  -395.09,  49539.57,           54760.77,    136.57,    -33.68,         144.30,  +2.74,  +1.22
  8,     UK000Z,       0,  0.322323, 2459522.288705132902,  68.24213,  45.17586,               51.28541,  28.23743,        51.28389,       28.23236,     68.24213,     +45.17586,      68.24971,      +45.17296,  3215130.92, -2048019.76,  5216753.88,      54.023853,       +0.319248,   96894.53,  199305.66,   17660.42,            17452.52,  -248.91,  60584.32,           55064.45,     17.71,     -4.36,          18.88,  +3.44,  +1.94
  9,     UK000Z,       0,  0.362415, 2459522.288705596700,  68.02089,  44.98229,               51.56392,  28.19683,        51.55566,       28.16951,     68.02089,     +44.98229,      68.05581,      +44.96674,  3215531.56, -2048304.33,  5215614.10,      54.014412,       +0.318709,   96260.42,  198409.69,   18901.62,            18693.72, -1291.02,  30958.87,           53907.34,     95.06,    -23.43,         101.79,  +5.08,  +3.59
  0,     UK004B,       0,  0.000000, 2459522.288701305166,  49.38313,  69.41618,               33.84739,  51.24902,        33.86052,       51.23368,     49.38313,     +69.41618,      49.41633,      +69.40327,  3209539.42, -2044048.13,  5232661.38,      54.155428,       +0.325835,  105761.49,  134889.67,       0.00,              129.49,   784.99,      0.00,           51027.45,     28.63,     29.32,          62.67,  +4.57,  +3.92
  1,     UK004B,       0,  0.039800, 2459522.288701765705,  48.72225,  69.17703,               34.33317,  51.38904,        34.32947,       51.39342,     48.72225,     +69.17703,      48.71296,      +69.18066,  3210015.59, -2044386.36,  5231306.71,      54.144237,       +0.325225,  105005.09,  133638.62,    1475.22,             1604.71,    -6.48,  37065.77,           51027.45,     -8.07,     -8.26,          17.83,  +3.11,  +2.48
  2,     UK004B,       0,  0.079444, 2459522.288702224847,  47.59637,  68.82349,               35.08314,  51.65362,        35.09102,       51.64411,     47.59637,     +68.82349,      47.61720,      +68.81577,  3210760.24, -2044915.28,  5229188.23,      54.126732,       +0.324365,  103822.70,  131693.72,    3782.21,             3911.70,    42.71,  58192.68,           51027.45,     17.18,     17.59,          38.51,  +2.34,  +1.74
  3,     UK004B,       0,  0.119096, 2459522.288702683523,  46.52320,  68.47045,               35.82676,  51.90990,        35.84660,       51.88550,     46.52320,     +68.47045,      46.57603,      +68.45106,  3211470.63, -2045419.86,  5227167.22,      54.110025,       +0.323538,  102695.25,  129849.16,    5983.06,             6112.55,   -14.70,  55504.30,           51027.45,     43.20,     44.28,          98.27,  +1.99,  +1.42
  4,     UK004B,       0,  0.158748, 2459522.288703142665,  45.49433,  68.07641,               36.62993,  52.14679,        36.64199,       52.13162,     45.49433,     +68.07641,      45.52736,      +68.06462,  3212189.52, -2045930.49,  5225122.01,      54.093113,       +0.322703,  101554.84,  127994.03,    8210.27,             8339.76,   -45.75,  56168.81,           52741.16,     26.34,     26.99,          60.77,  +2.86,  +2.32
  5,     UK004B,       0,  0.198360, 2459522.288703600876,  44.37803,  67.66877,               37.47658,  52.42008,        37.50123,       52.38837,     44.37803,     +67.66877,      44.44606,      +67.64470,  3212934.92, -2046459.95,  5223001.38,      54.075571,       +0.321843,  100372.97,  126083.37,   10519.60,            10649.08,     7.59,  58298.66,           54023.74,     53.91,     55.31,         126.36,  +1.99,  +1.49
  6,     UK004B,       0,  0.238024, 2459522.288704060018,  43.44556,  67.23163,               38.34030,  52.62692,        38.33802,       52.62994,     43.44556,     +67.23163,      43.44021,      +67.23387,  3213632.40, -2046955.37,  5221017.10,      54.059151,       +0.321029,   99267.62,  124307.53,   12680.45,            12809.94,   -90.49,  54479.02,           54531.07,     -5.04,     -5.16,          11.96,  +1.96,  +1.49
  7,     UK004B,       0,  0.277668, 2459522.288704518694,  42.48533,  66.82741,               39.16392,  52.86191,        39.16492,       52.86055,     42.48533,     +66.82741,      42.48932,      +66.82642,  3214295.81, -2047426.59,  5219129.73,      54.043527,       +0.320246,   98216.72,  122629.68,   14735.77,            14865.26,  -292.98,  51844.42,           54518.76,      2.22,      2.27,           5.34,  +2.15,  +1.71
  8,     UK004B,       0,  0.317296, 2459522.288704977371,  41.51014,  66.42038,               40.00106,  53.10967,        40.01564,       53.08939,     41.51014,     +66.42038,      41.55335,      +66.40599,  3214953.12, -2047893.47,  5217259.72,      54.028043,       +0.319470,   97175.96,  120978.71,   16772.18,            16901.67,  -513.46,  51388.15,           54304.48,     32.55,     33.40,          79.52,  +2.71,  +2.30

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.