Orbital Analysis for matched events on 20210929_183933.860_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 106.38° Bg 62.20° Vg 45.03km/s
mass 0.03008g, abs. mag -0.6
Path Details
------------
start -0.39° 52.15° 90.64km
end   -0.38° 52.10° 85.66km

Orbit Details
-------------
Semimajor axis 9.53A.U., eccentricity 0.90, inclination 77.21°, Period 29.40Y, LA Sun 186.54°, last Perihelion 2021-09-23

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: 2459487.277475242503
Time: 2021-09-29 18:39:33.860952 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0034 and UK0041
 Convergence angle = 9.43851 deg
 R.A. = 163.88118  Dec = +82.43610 deg

Best intersection: Stations UK0034 and UK0041 with Qconv = 9.44 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1244952.82 +/- 52.02 m
 Y =  -3778029.07 +/- 116.11 m
 Z =   5084346.68 +/- 18.00 m
 Vx =    -5984.20 +/- 460.29 m/s
 Vy =     2198.65 +/- 1213.45 m/s
 Vz =    45939.38 +/- 357.71 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.896169e+03, +3.740612e+03, -4.156062e+02, +6.438011e+03, +1.048985e+04, -3.434976e+03
+3.740612e+03, +9.695322e+03, -1.160365e+03, +7.397775e+03, +2.747589e+04, -9.358295e+03
-4.156062e+02, -1.160365e+03, +3.639486e+02, -2.117136e+03, -7.715628e+03, +1.350435e+03
+6.438011e+03, +7.397775e+03, -2.117136e+03, +7.275179e+04, +1.396473e+05, -1.829858e+04
+1.048985e+04, +2.747589e+04, -7.715628e+03, +1.396473e+05, +4.568110e+05, -6.688496e+04
-3.434976e+03, -9.358295e+03, +1.350435e+03, -1.829858e+04, -6.688496e+04, +1.387031e+04

Timing offsets (from input data):
    UK0034: 0.000000 s
    UK0035: 0.000000 s
    UK0041: 0.000078 s

Reference point on the trajectory:
  Time: 2021-09-29 18:39:33.860952 UTC
  Lon     = +-0.394307 +/- 0.0012 deg
  Lat     = +52.145268 +/- 0.0006 deg
  Lat geo = +51.961266 +/- 0.0006 deg
  Ht      =   90645.72 +/- 69.06 m

  JD dynamic   = 2459487.278275983408 
  LST apparent = 288.2383134338 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 159.82619 +/- 9.7095 deg
  Dec       = +82.09914 +/- 0.6490 deg
  Azimuth   = 350.93745 +/- 1.8619 deg
  Elevation = +46.85824 +/- 1.0430 deg
  Vavg      =  43.33448 +/- 0.2759 km/s
  Vinit     =  46.37964 +/- 0.2779 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 158.14709 +/- 9.7095 deg
  Dec       = +82.37420 +/- 0.6490 deg
  Azimuth   = 351.45569 +/- 1.8619 deg
  Elevation = +46.89828 +/- 1.0430 deg
  Vavg      =  43.30413 +/- 0.2759 km/s
  Vinit     =  46.34929 +/- 0.2779 km/s
Radiant (geocentric, J2000):
  R.A.   = 155.97026 +/- 9.8535 deg
  Dec    = +81.71879 +/- 0.5756 deg
  Vg     =  45.02870 +/- 0.2860 km/s
  Vinf   =  46.37964 +/- 0.2779 km/s
  Zc     =  43.32347 +/- 1.0442 deg
  Zg     =  43.99611 +/- 1.0688 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 106.38436 +/- 2.5174 deg
  Bg     = +62.20208 +/- 1.2333 deg
  Vh     =  40.96646 +/- 0.9511 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 257.57886 +/- 1.3845 deg
  Bh     = +76.49943 +/- 1.1919 deg
  Vh_x   =   2.05714 +/- 0.5367 km/s
  Vh_y   =   9.33996 +/- 1.0144 km/s
  Vh_z   = -39.83446 +/- 0.6748 km/s
Orbit:
  La Sun = 186.539727 +/- nan deg
  a      =   9.525523 +/- 170.2571 AU
  e      =   0.895488 +/- 0.0908
  i      =  77.207193 +/- 1.0092 deg
  peri   = 170.792525 +/- 1.0172 deg
  node   = 186.539517 +/- 0.0000 deg
  Pi     = 357.332042 +/- 1.0172 deg
  q      =   0.995527 +/- 0.0022 AU
  f      =   9.205707 +/- 1.0172 deg
  M      =   0.226836 +/- nan deg
  Q      =  18.055519 +/- 340.5140 AU
  n      =   0.033525 +/- 0.0348 deg/day
  T      =  29.399090 +/- 462633839.2394 years
  Last perihelion JD = 2459480.512127 (2021-09-23 00:17:27.811697) +/- 0.3751 days
  Tj     =   0.813015 +/- 0.4496
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.186996e-03, -3.545937e-05, -9.067286e-03, +1.568277e-08, -3.201986e-04, -4.940595e-04
q   , -3.545937e-05, +1.106171e-06, +4.017313e-04, -2.565587e-10, +1.142169e-05, +8.084772e-06
Tp  , -9.067286e-03, +4.017313e-04, +1.599851e-01, -6.644965e-08, +4.319757e-03, +2.094446e-03
node, +1.568277e-08, -2.565587e-10, -6.644965e-08, +1.166543e-13, -2.329223e-09, -3.674022e-09
peri, -3.201986e-04, +1.142169e-05, +4.319757e-03, -2.329223e-09, +1.200407e-04, +7.340434e-05
i   , -4.940595e-04, +8.084772e-06, +2.094446e-03, -3.674022e-09, +7.340434e-05, +1.157140e-04

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: UK0034
  Avg. res. = 4.187e-06 s
  Stddev    = 2.05e-03 s

Begin point on the trajectory:
  Lon =    -0.394286 +/- 0.0012 deg
  Lat =    52.145186 +/- 0.0006 deg
  Ht  = 90635.72 +/- 68.07 m
End point on the trajectory:
  Lon =    -0.384390 +/- 0.0011 deg
  Lat =    52.104369 +/- 0.0006 deg
  Ht  = 85663.85 +/- 61.21 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
    UK0034,   False,     1.010397,    52.949859,   25.00,   0.000000,   0.000000,    90635.72,    85663.85,          0.008644,     16.62,     17.44,              81.62, 1.0000,    True,    True, {"ff_name": "FF_UK0034_20210929_183931_703_0042752.fits"}
    UK0035,    True,     1.010397,    52.949859,   25.00,   0.002040,  70.851260,    90140.81,    85391.27,          0.043677,       nan,       nan,              81.62, 0.0000,    True,    True, {"ff_name": "FF_UK0035_20210929_183931_690_0041216.fits"}
    UK0041,   False,     1.214343,    52.647541,   45.00,   0.000000,   0.000000,    90221.85,    86263.29,          0.008792,     13.99,     18.76,              72.33, 1.0000,    True,    True, {"ff_name": "FF_UK0041_20210929_183924_999_0044032.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,     UK0034,       0,  0.000000, 2459487.277475242503, 251.78013,   6.13698,              227.35378,  33.93624,       227.33928,       33.94448,    251.78013,      +6.13698,     251.79465,       +6.13900,  1244954.58, -3778029.72,  5084333.10,      52.145186,       -0.394286,   90635.72,  159842.84,       0.00,               13.71,   426.48,      0.00,           43154.16,    -29.45,     28.06,          52.49,  +3.80,  +2.78
  1,     UK0034,       0,  0.040444, 2459487.277475710493, 251.86296,   5.62615,              226.99218,  33.51518,       226.99207,       33.51524,    251.86296,      +5.62615,     251.86323,       +5.62616,  1245141.67, -3778098.45,  5082896.87,      52.136509,       -0.392205,   89577.79,  159709.49,    1449.99,             1463.70,     0.70,  35851.91,           43154.16,     -0.20,      0.20,           0.37,  +0.77,  -0.25
  2,     UK0034,       0,  0.081060, 2459487.277476180810, 251.95329,   4.91683,              226.52195,  32.91813,       226.51661,       32.92115,    251.95329,      +4.91683,     251.95900,       +4.91757,  1245399.72, -3778193.26,  5080915.92,      52.124535,       -0.389273,   88118.86,  159544.37,    3449.92,             3463.63,   116.87,  49239.96,           43154.16,    -10.91,     10.39,          19.47,  +0.21,  -0.80
  3,     UK0034,       0,  0.121592, 2459487.277476649731, 252.02881,   4.30738,              226.12505,  32.40292,       226.11382,       32.40925,    252.02881,      +4.30738,     252.04064,       +4.30895,  1245620.95, -3778274.54,  5079217.59,      52.114265,       -0.386783,   86868.28,  159423.59,    5164.54,             5178.25,   -48.37,  42302.74,           43154.16,    -22.96,     21.88,          41.04,  +0.49,  -0.52
  4,     UK0034,       0,  0.162100, 2459487.277477118652, 252.11979,   3.72206,              225.72844,  31.91496,       225.72974,       31.91423,    252.11979,      +3.72206,     252.11915,       +3.72188,  1245834.04, -3778352.84,  5077581.69,      52.104369,       -0.384390,   85663.85,  159324.83,    6816.11,             6829.82,  -275.54,  40771.57,           42795.80,      2.68,     -2.55,           4.79,  +1.38,  +0.37
  0,     UK0035,       1,  0.021459, 2459487.277475490700, 251.86659,   5.90476,              227.13665,  33.76651,       227.17672,       33.74379,    251.86659,      +5.90476,     251.82653,       +5.89919,  1245042.10, -3778061.87,  5083661.25,      52.141127,       -0.393323,   90140.81,  159779.27,       0.00,              692.00,   109.53,      0.00,           45383.94,     81.36,    -77.63,         145.17,  +1.40,  +0.38
  1,     UK0035,       1,  0.061863, 2459487.277475958690, 251.95104,   5.28492,              226.71750,  33.24776,       226.75859,       33.22451,    251.95104,      +5.28492,     251.91003,       +5.27920,  1245268.09, -3778144.90,  5081926.41,      52.130643,       -0.390775,   88863.03,  159625.76,    1751.46,             2443.46,   -12.93,  43348.77,           45383.94,     83.64,    -79.80,         149.38,  +0.45,  -0.57
  2,     UK0035,       1,  0.102327, 2459487.277476426680, 252.03297,   4.57799,              226.26060,  32.64824,       226.28857,       32.63246,    252.03297,      +4.57799,     252.00523,       +4.57408,  1245524.62, -3778239.15,  5079957.09,      52.118737,       -0.387860,   87412.79,  159473.65,    3739.65,             4431.65,    98.56,  49134.79,           45383.94,     57.10,    -54.45,         102.05,  +0.29,  -0.72
  3,     UK0035,       1,  0.142727, 2459487.277476894204, 252.10730,   3.96833,              225.86744,  32.13157,       225.88833,       32.11981,    252.10730,      +3.96833,     252.08681,       +3.96541,  1245745.68, -3778320.37,  5078260.03,      52.108473,       -0.385371,   86163.26,  159363.28,    5452.98,             6144.98,   -61.86,  42408.95,           45383.94,     42.75,    -40.76,          76.45,  +0.65,  -0.36
  4,     UK0035,       1,  0.182943, 2459487.277477359865, 252.20494,   3.59853,              225.57537,  31.84022,       225.64435,       31.80148,    252.20494,      +3.59853,     252.13598,       +3.58886,  1245882.27, -3778370.56,  5077211.44,      52.102129,       -0.383898,   85391.27,  159306.82,    6511.62,             7203.62,  -868.42,  26323.89,           41419.59,    141.30,   -134.88,         252.92,  +5.69,  +4.68
  0,     UK0041,       0,  0.016782, 2459487.277475435752, 241.24130,  13.91532,              243.42136,  35.49120,       243.42591,       35.48786,    241.24130,     +13.91532,     241.23628,      +13.91462,  1245027.77, -3778056.60,  5083771.26,      52.141792,       -0.393476,   90221.85,  153267.65,       0.00,              580.93,   215.38,      0.00,           44847.50,     10.71,     -7.99,          17.98,  +1.91,  +0.98
  1,     UK0041,       0,  0.057274, 2459487.277475904208, 241.31184,  13.32425,              242.94831,  35.03857,       242.94184,       35.04330,    241.31184,     +13.32425,     241.31931,      +13.32525,  1245239.59, -3778134.43,  5082145.18,      52.131966,       -0.391098,   89024.15,  152860.47,    1641.67,             2222.60,   -20.95,  40543.06,           44847.50,    -15.19,     11.34,          25.58,  +0.62,  -0.30
  2,     UK0041,       0,  0.097842, 2459487.277476373594, 241.40106,  12.63662,              242.39705,  34.51379,       242.38403,       34.52328,    241.40106,     +12.63662,     241.41601,      +12.63862,  1245485.01, -3778224.60,  5080261.17,      52.120576,       -0.388317,   87636.70,  152408.10,    3543.74,             4124.66,    -0.42,  46885.91,           44847.50,    -30.55,     22.79,          51.57,  +0.46,  -0.46
  3,     UK0041,       0,  0.138406, 2459487.277476843446, 241.50576,  11.95411,              241.84035,  33.99944,       241.83550,       34.00295,    241.50576,     +11.95411,     241.51175,      +11.95485,  1245727.98, -3778313.87,  5078395.90,      52.109295,       -0.385566,   86263.29,  151982.42,    5426.88,             6007.81,     1.38,  46423.98,           44847.50,    -11.36,      8.47,          19.23,  +1.03,  +0.12

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.