Orbital Analysis for matched events on 20211103_052134.823_UK

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Summary for Event
-----------------
shower ID -1 spo
Lg 75.14° Bg 27.65° Vg 46.49km/s
mass 0.01427g, abs. mag 0.8
best visual mag 1.3
Path Details
------------
start -0.62° 52.10° 105.87km
end   -0.51° 52.08° 93.22km

Orbit Details
-------------
Semimajor axis 9.48A.U., eccentricity 0.97, inclination 72.63°, Period 29.21Y, LA Sun 220.71°, last Perihelion 1992-09-25

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: 2459521.723319711164
Time: 2021-11-03 05:21:35.061144 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK0035
 Convergence angle = 19.93050 deg
 R.A. =  70.75653  Dec = +48.72516 deg

Best intersection: Stations UK000C and UK0035 with Qconv = 19.93 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =  -2142255.79 +/- 20.80 m
 Y =   3368254.57 +/- 24.96 m
 Z =   5095041.38 +/- 216.13 m
 Vx =    10275.03 +/- 326.62 m/s
 Vy =    28783.22 +/- 939.78 m/s
 Vz =    36752.19 +/- 1024.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.457366e+02, +1.598399e+02, +1.188997e+02, +1.987874e+03, +2.145825e+03, +1.060184e+03
+1.598399e+02, +5.090729e+02, -1.464051e+03, +1.224705e+03, +3.800554e+03, -3.965696e+03
+1.188997e+02, -1.464051e+03, +3.383710e+04, -2.418044e+04, -7.580102e+04, +6.873763e+04
+1.987874e+03, +1.224705e+03, -2.418044e+04, +5.180748e+04, +1.252636e+05, +1.706624e+03
+2.145825e+03, +3.800554e+03, -7.580102e+04, +1.252636e+05, +3.429866e+05, -3.118748e+04
+1.060184e+03, -3.965696e+03, +6.873763e+04, +1.706624e+03, -3.118748e+04, +2.746251e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK0035: -0.001594 s

Reference point on the trajectory:
  Time: 2021-11-03 05:21:35.061144 UTC
  Lon     = +-0.631916 +/- 0.0004 deg
  Lat     = +52.106091 +/- 0.0013 deg
  Lat geo = +51.922510 +/- 0.0013 deg
  Ht      =  107637.12 +/- 163.75 m

  JD dynamic   = 2459521.724123207852 
  LST apparent = 122.4569160323 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  70.35445 +/- 0.1395 deg
  Dec       = +50.25391 +/- 0.7829 deg
  Azimuth   = 287.83341 +/- 1.3376 deg
  Elevation = +57.99365 +/- 0.3238 deg
  Vavg      =  46.95644 +/- 0.0437 km/s
  Vinit     =  47.79931 +/- 0.7757 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  70.69219 +/- 0.1395 deg
  Dec       = +50.46578 +/- 0.7829 deg
  Azimuth   = 288.03725 +/- 1.3376 deg
  Elevation = +58.27602 +/- 0.3238 deg
  Vavg      =  46.81023 +/- 0.0437 km/s
  Vinit     =  47.65310 +/- 0.7757 km/s
Radiant (geocentric, J2000):
  R.A.   =  69.28720 +/- 0.1413 deg
  Dec    = +50.02731 +/- 0.7927 deg
  Vg     =  46.49312 +/- 0.7972 km/s
  Vinf   =  47.79931 +/- 0.7757 km/s
  Zc     =  32.06299 +/- 0.3199 deg
  Zg     =  32.51911 +/- 0.3240 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.13665 +/- 0.1381 deg
  Bg     = +27.65283 +/- 0.7886 deg
  Vh     =  41.16901 +/- 0.6280 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  29.61117 +/- 0.8400 deg
  Bh     = +31.61011 +/- 0.8722 deg
  Vh_x   = -30.48194 +/- 0.2464 km/s
  Vh_y   = -17.32402 +/- 0.7299 km/s
  Vh_z   = -21.57817 +/- 0.6822 km/s
Orbit:
  La Sun = 220.709987 +/- -0.0000 deg
  a      =   9.484024 +/- 44.2755 AU
  e      =   0.969639 +/- 0.0156
  i      =  72.628589 +/- 1.2823 deg
  peri   = 296.215001 +/- 2.2850 deg
  node   = 220.711777 +/- 0.0000 deg
  Pi     = 156.926778 +/- 2.2850 deg
  q      =   0.287948 +/- 0.0146 AU
  f      = 243.785826 +/- 2.2850 deg
  M      = 358.753448 +/- nan deg
  Q      =  18.680101 +/- 88.5548 AU
  n      =   0.033745 +/- 0.0241 deg/day
  T      =  29.207181 +/- nan years
  Last perihelion JD = 2448890.555456 (1992-09-25 01:19:51.408893) +/- 3696.9136 days
  Tj     =   0.745864 +/- 0.3154
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.081436e-04, +4.000507e-06, -3.551802e+01, +1.324350e-07, -6.218461e-03, +8.646717e-03
q   , +4.000507e-06, +1.671317e-04, -4.309989e-01, +4.531865e-08, -2.263020e-02, +2.918021e-03
Tp  , -3.551802e+01, -4.309989e-01, +1.336038e+07, -4.048615e-02, +1.911385e+03, -2.648288e+03
node, +1.324350e-07, +4.531865e-08, -4.048615e-02, +1.845968e-10, -1.305627e-05, +1.203958e-05
peri, -6.218461e-03, -2.263020e-02, +1.911385e+03, -1.305627e-05, +3.363033e+00, -8.468914e-01
i   , +8.646717e-03, +2.918021e-03, -2.648288e+03, +1.203958e-05, -8.468914e-01, +7.852648e-01

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.455949
 a2 = 18.028112

Mean time residuals from time vs. length:
  Station with reference time: UK000C
  Avg. res. = 1.255e-05 s
  Stddev    = 3.54e-03 s

Begin point on the trajectory:
  Lon =    -0.616838 +/- 0.0002 deg
  Lat =    52.103103 +/- 0.0010 deg
  Ht  = 105872.00 +/- 132.63 m
End point on the trajectory:
  Lon =    -0.509846 +/- 0.0015 deg
  Lat =    52.081565 +/- 0.0005 deg
  Ht  = 93215.21 +/- 52.50 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.098691,  22.192077,   105872.00,    93215.21,          0.016219,      5.69,     38.28,              44.84, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20211103_052133_435_1079296.fits"}
    UK0035,   False,     1.010397,    52.949859,   25.00,   1.171807,  15.505561,   104628.68,    93218.62,          0.020657,     28.17,     55.69,              42.09, 1.0000,    True,    True, {"ff_name": "FF_UK0035_20211103_052131_570_1112320.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,     UK000C,       1,  0.000000, 2459521.723321998958, 260.24393,  85.95488,                4.06921,  48.18843,         4.03741,       48.16474,    260.24393,     +85.95488,     260.68846,      +85.94971, -2142278.56,  3368190.77,  5094959.91,      52.105939,       -0.630980,  107547.27,  143324.90,       0.00,              105.95,   185.39,      0.00,           44017.47,    -78.67,     11.64,         114.45,  +5.29,  +4.51
  1,     UK000C,       0,  0.040432, 2459521.723322466947, 259.44360,  85.40989,                4.65363,  47.80413,         4.64180,       47.79539,    259.44360,     +85.40989,     259.58991,      +85.40817, -2142703.27,  3367001.06,  5093440.81,      52.103103,       -0.616838,  105872.00,  141903.29,    1975.72,             2081.67,   228.49,  48865.16,           44017.47,    -28.94,      4.30,          42.53,  +4.41,  +3.65
  2,     UK000C,       0,  0.080752, 2459521.723322933540, 258.73204,  85.00508,                5.10454,  47.52991,         5.08682,       47.51691,    258.73204,     +85.00508,     258.93362,      +85.00270, -2143015.77,  3366125.65,  5092323.03,      52.101015,       -0.606472,  104639.40,  140865.49,    3429.48,             3535.43,  -245.02,  36055.62,           44017.47,    -42.98,      6.38,          63.63,  +2.77,  +2.03
  3,     UK000C,       0,  0.121208, 2459521.723323401529, 257.99489,  84.43119,                5.72438,  47.13310,         5.70849,       47.12155,    257.99489,     +84.43119,     258.15732,      +84.42928, -2143448.40,  3364913.74,  5090775.59,      52.098120,       -0.592053,  102933.14,  139441.13,    5442.05,             5548.01,  -166.21,  49747.26,           44017.47,    -38.08,      5.65,          56.95,  +2.42,  +1.70
  4,     UK000C,       0,  0.161724, 2459521.723323870450, 257.33772,  83.77919,                6.41468,  46.67787,         6.40284,       46.66934,    257.33772,     +83.77919,     257.44658,      +83.77790, -2143928.40,  3363569.11,  5089058.69,      52.094904,       -0.576030,  101040.22,  137877.83,    7675.03,             7780.98,   130.12,  55113.32,           46551.99,    -28.04,      4.17,          42.41,  +1.85,  +1.15
  5,     UK000C,       0,  0.202184, 2459521.723324338906, 256.75496,  83.19998,                7.03130,  46.27845,         7.01025,       46.26340,    256.75496,     +83.19998,     256.93184,      +83.19789, -2144346.75,  3362397.21,  5087562.33,      52.092099,       -0.562081,   99390.60,  136530.23,    9621.17,             9727.12,   142.30,  48100.36,           47496.14,    -49.35,      7.33,          75.37,  +1.37,  +0.69
  6,     UK000C,       0,  0.242588, 2459521.723324806429, 256.43509,  82.69195,                7.54820,  45.91629,         7.53332,       45.90572,    256.43509,     +82.69195,     256.55204,      +82.69056, -2144706.14,  3361390.46,  5086276.86,      52.089686,       -0.550117,   97973.58,  135383.88,   11293.04,            11398.99,  -117.11,  41378.81,           47178.04,    -34.58,      5.14,          53.27,  +1.45,  +0.79
  7,     UK000C,       0,  0.283096, 2459521.723325275350, 255.94417,  82.05175,                8.21171,  45.46986,         8.18512,       45.45114,    255.94417,     +82.05175,     256.13591,      +82.04948, -2145150.93,  3360144.48,  5084685.91,      52.086696,       -0.535265,   96219.99,  133980.49,   13362.20,            13468.15,    15.80,  51080.41,           47371.32,    -61.14,      9.08,          95.16,  +1.33,  +0.69
  8,     UK000C,       0,  0.323540, 2459521.723325743340, 255.74497,  81.50309,                8.74560,  45.06902,         8.73259,       45.05993,    255.74497,     +81.50309,     255.83362,      +81.50204, -2145523.77,  3359100.06,  5083352.33,      52.084188,       -0.522838,   94750.19,  132817.18,   15096.63,            15202.59,  -182.96,  42884.81,           47162.33,    -29.63,      4.41,          46.52,  +1.61,  +0.99
  9,     UK000C,       0,  0.364012, 2459521.723326211795, 255.56133,  80.91945,                9.30488,  44.63981,         9.30680,       44.64114,    255.56133,     +80.91945,     255.55096,      +80.91960, -2145913.17,  3358009.23,  5081959.49,      52.081565,       -0.509846,   93215.21,  131615.49,   16908.14,            17014.09,  -305.99,  44759.43,           46924.79,      4.33,     -0.65,           6.85,  +3.06,  +2.46
  0,     UK0035,       0,  0.081731, 2459521.723321639933,  84.83650,   8.03036,              229.89960,  34.98899,       229.91190,       34.98021,     84.83650,      +8.03036,      84.82336,       +8.02727, -2143018.49,  3366118.03,  5092313.31,      52.100996,       -0.605914,  104628.68,  179555.44,       0.00,             3548.08,  -279.16,      0.00,           49070.12,    -37.37,     18.92,          48.12,  +3.97,  +2.70
  1,     UK0035,       0,  0.122087, 2459521.723322106991,  84.93040,   7.47266,              229.48446,  34.53801,       229.46471,       34.55205,     84.93040,      +7.47266,      84.95166,       +7.47759, -2143561.30,  3364597.46,  5090371.75,      52.097364,       -0.587778,  102487.88,  177751.98,    2525.17,             6073.24,   317.02,  62572.28,           49070.12,     59.50,    -30.04,          77.34,  +2.93,  +1.68
  2,     UK0035,       0,  0.162275, 2459521.723322572187,  85.04576,   7.12791,              229.16884,  34.28475,       229.18133,       34.27589,     85.04576,      +7.12791,      85.03275,       +7.12478, -2143903.90,  3363637.76,  5089146.35,      52.095069,       -0.576389,  101136.85,  176625.34,    4118.90,             7666.97,   -10.21,  39656.87,           49070.12,    -37.43,     18.94,          48.99,  +2.98,  +1.74
  3,     UK0035,       0,  0.202543, 2459521.723323038314,  85.14073,   6.69231,              228.82663,  33.94071,       228.83429,       33.93529,     85.14073,      +6.69231,      85.13305,       +6.69039, -2144319.85,  3362472.58,  5087658.56,      52.092279,       -0.562520,   99496.68,  175265.55,    6053.89,             9601.96,    -0.00,  48052.78,           49070.12,    -22.80,     11.53,          30.07,  +2.78,  +1.56
  4,     UK0035,       0,  0.242779, 2459521.723323503975,  85.25126,   6.28458,              228.48564,  33.62768,       228.50832,       33.61168,     85.25126,      +6.28458,      85.22770,       +6.27889, -2144708.00,  3361385.24,  5086270.19,      52.089673,       -0.549584,   97966.23,  174006.79,    7859.58,            11407.66,  -117.56,  44877.65,           47816.64,    -67.07,     33.95,          89.11,  +2.10,  +0.90
  5,     UK0035,       0,  0.283087, 2459521.723323970567,  85.33322,   5.79770,              228.13460,  33.23037,       228.13055,       33.23321,     85.33322,      +5.79770,      85.33839,       +5.79871, -2145153.99,  3360135.91,  5084674.96,      52.086676,       -0.534691,   96207.93,  172571.29,    9934.31,            13482.39,    30.47,  51471.82,           47981.18,     11.88,     -6.00,          15.92,  +2.44,  +1.26
  6,     UK0035,       0,  0.323295, 2459521.723324435763,  85.44594,   5.43316,              227.81931,  32.95523,       227.84161,       32.93958,     85.44594,      +5.43316,      85.42310,       +5.42757, -2145493.65,  3359184.41,  5083460.03,      52.084390,       -0.523383,   94868.88,  171488.33,   11514.43,            15062.50,  -311.33,  39298.59,           47110.91,    -65.15,     32.97,          87.83,  +2.59,  +1.42
  7,     UK0035,       0,  0.363567, 2459521.723324901890,  85.56346,   4.97191,              227.44957,  32.59495,       227.48237,       32.57199,     85.56346,      +4.97191,      85.52953,       +4.96368, -2145912.31,  3358011.65,  5081962.58,      52.081571,       -0.509403,   93218.62,  170162.49,   13461.99,            17010.07,  -288.74,  48360.24,           46852.32,    -95.22,     48.20,         129.36,  +3.81,  +2.66

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.