Orbital Analysis for matched events on 20210929_043038.174_UK

Summary for Event
-----------------
shower ID 555 OCP
Lg 66.63° Bg 50.23° Vg 49.10km/s
mass 0.00834g, abs. mag 1.0
Path Details
------------
start -1.86° 51.50° 105.34km
end   -1.83° 51.47° 96.25km

Orbit Details
-------------
Semimajor axis 9.90A.U., eccentricity 0.91, inclination 86.44°, Period 31.16Y, LA Sun 185.96°, last Perihelion 1990-09-01

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: 2459486.687941836193
Time: 2021-09-29 04:30:38.217737 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0006 and UK001Z
 Convergence angle = 58.34081 deg
 R.A. =  44.40605  Dec = +69.95476 deg

Best intersection: Stations UK0006 and UK001Z with Qconv = 58.34 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1117849.76 +/- 28.99 m
 Y =   3887643.68 +/- 36.64 m
 Z =   5052244.17 +/- 55.83 m
 Vx =    12579.15 +/- 312.01 m/s
 Vy =    12042.81 +/- 393.30 m/s
 Vz =    47227.51 +/- 498.75 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.061686e+02, +6.895687e+02, -1.928365e+02, +7.487301e+03, +6.315132e+03, +4.450994e+03
+6.895687e+02, +1.289998e+03, -2.697730e+02, +9.447611e+03, +1.322770e+04, +7.857158e+03
-1.928365e+02, -2.697730e+02, +3.290865e+03, -5.027533e+03, -4.088648e+03, -3.323938e+03
+7.487301e+03, +9.447611e+03, -5.027533e+03, +9.748765e+04, +1.042241e+05, +6.715361e+04
+6.315132e+03, +1.322770e+04, -4.088648e+03, +1.042241e+05, +1.485341e+05, +8.729048e+04
+4.450994e+03, +7.857158e+03, -3.323938e+03, +6.715361e+04, +8.729048e+04, +5.282630e+04

Timing offsets (from input data):
    UK0006: 0.000216 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:30:38.217737 UTC
  Lon     = +-1.861709 +/- 0.0003 deg
  Lat     = +51.501424 +/- 0.0004 deg
  Lat geo = +51.316897 +/- 0.0004 deg
  Ht      =  107005.93 +/- 46.82 m

  JD dynamic   = 2459486.688743075822 
  LST apparent = 73.9579848719 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  43.75211 +/- 0.4554 deg
  Dec       = +69.75925 +/- 0.4129 deg
  Azimuth   = 333.56212 +/- 0.7856 deg
  Elevation = +66.98685 +/- 0.3256 deg
  Vavg      =  49.75257 +/- 0.1246 km/s
  Vinit     =  50.33589 +/- 0.3928 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  44.59800 +/- 0.4554 deg
  Dec       = +69.91590 +/- 0.4129 deg
  Azimuth   = 334.33627 +/- 0.7856 deg
  Elevation = +67.12272 +/- 0.3256 deg
  Vavg      =  49.70207 +/- 0.1246 km/s
  Vinit     =  50.28539 +/- 0.3928 km/s
Radiant (geocentric, J2000):
  R.A.   =  42.56711 +/- 0.4766 deg
  Dec    = +69.84524 +/- 0.4191 deg
  Vg     =  49.09716 +/- 0.4024 km/s
  Vinf   =  50.33589 +/- 0.3928 km/s
  Zc     =  23.17851 +/- 0.3265 deg
  Zg     =  23.47127 +/- 0.3348 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  66.62966 +/- 0.2609 deg
  Bg     = +50.22871 +/- 0.4199 deg
  Vh     =  41.00602 +/- 0.1931 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 357.54929 +/- 1.5833 deg
  Bh     = +66.97249 +/- 0.3575 deg
  Vh_x   = -16.02578 +/- 0.3120 km/s
  Vh_y   =   0.68589 +/- 0.4630 km/s
  Vh_z   = -37.73854 +/- 0.0731 km/s
Orbit:
  La Sun = 185.960693 +/- nan deg
  a      =   9.901951 +/- 6.1455 AU
  e      =   0.914692 +/- 0.0153
  i      =  86.441327 +/- 0.6559 deg
  peri   = 227.793825 +/- 0.4332 deg
  node   = 185.962802 +/- 0.0000 deg
  Pi     =  53.756627 +/- 0.4332 deg
  q      =   0.844718 +/- 0.0041 AU
  f      = 312.205583 +/- 0.4332 deg
  M      = 359.031817 +/- 0.2051 deg
  Q      =  18.959185 +/- 12.2948 AU
  n      =   0.031632 +/- 0.0067 deg/day
  T      =  31.158878 +/- 42.9531 years
  Last perihelion JD = 2448136.318441 (1990-09-01 19:38:33.322583) +/- 15688.8535 days
  Tj     =   0.594786 +/- 0.1052
Shower association:
  IAU No.  =  555
  IAU code =  OCP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.382404e-04, -6.318851e-05, -1.931834e+02, -1.543804e-09, +1.146892e-04, +1.496098e-04
q   , -6.318851e-05, +1.696169e-05, +5.199181e+01, +4.290868e-10, -3.096222e-05, -4.158877e-05
Tp  , -1.931834e+02, +5.199181e+01, +2.046821e+08, +1.321028e-03, -9.461432e+01, -1.280132e+02
node, -1.543804e-09, +4.290868e-10, +1.321028e-03, +1.298723e-14, -7.955293e-10, -1.259117e-09
peri, +1.146892e-04, -3.096222e-05, -9.461432e+01, -7.955293e-10, +5.667512e-05, +7.711099e-05
i   , +1.496098e-04, -4.158877e-05, -1.280132e+02, -1.259117e-09, +7.711099e-05, +1.220722e-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: UK001Z
  Avg. res. = 2.000e-05 s
  Stddev    = 4.47e-03 s

Begin point on the trajectory:
  Lon =    -1.857237 +/- 0.0004 deg
  Lat =    51.495810 +/- 0.0002 deg
  Ht  = 105336.40 +/- 47.23 m
End point on the trajectory:
  Lon =    -1.833703 +/- 0.0002 deg
  Lat =    51.465200 +/- 0.0005 deg
  Ht  = 96251.45 +/- 18.57 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
    UK0006,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   105336.40,    97646.76,          0.012036,      7.55,     23.28,              41.35, 1.0000,    True,    True, {"ff_name": "FF_UK0006_20210929_043031_736_0910848.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   2.730122,  19.365177,   105118.85,    96251.45,          0.018658,     30.64,     35.40,              42.66, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210929_043030_804_0901888.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,     UK0006,       1,  0.003054, 2459486.687941868789,  53.06025,  28.04473,              222.19544,  61.27597,       222.20358,       61.27345,     53.06025,     +28.04473,      53.05501,      +28.04434,  1117753.50,  3887551.53,  5051882.78,      51.500232,       -1.860591,  106651.42,  121230.79,       0.00,              385.17,   391.22,      0.00,           48137.12,     -9.36,      3.04,          16.75,  +4.91,  +4.49
  1,     UK0006,       0,  0.043346, 2459486.687942334916,  53.09369,  27.58877,              221.70145,  60.88647,       221.70404,       60.88567,     53.09369,     +27.58877,      53.09219,      +27.58865,  1117396.44,  3887209.70,  5050542.24,      51.495810,       -1.857237,  105336.40,  120177.55,    1428.78,             1813.95,  -208.14,  35460.52,           48137.12,     -2.98,      0.97,           5.38,  +3.19,  +2.79
  2,     UK0006,       0,  0.083810, 2459486.687942803372,  53.16098,  26.85825,              220.91181,  60.26457,       220.92225,       60.26138,     53.16098,     +26.85825,      53.15453,      +26.85775,  1116836.09,  3886673.23,  5048438.43,      51.488865,       -1.851875,  103272.72,  118538.25,    3671.05,             4056.22,    -2.66,  55414.07,           48137.12,    -11.97,      3.88,          21.90,  +1.50,  +1.13
  3,     UK0006,       0,  0.124246, 2459486.687943271361,  53.23707,  26.16872,              220.17234,  59.67877,       220.21106,       59.66699,     53.23707,     +26.16872,      53.21225,      +26.16685,  1116320.26,  3886179.40,  5046501.80,      51.482468,       -1.846952,  101373.12,  117047.11,    5735.15,             6120.32,    26.06,  51046.03,           48137.12,    -44.34,     14.39,          82.16,  +1.45,  +1.11
  4,     UK0006,       0,  0.164714, 2459486.687943739817,  53.27181,  25.45776,              219.50428,  59.05381,       219.50688,       59.05303,     53.27181,     +25.45776,      53.27079,      +25.45764,  1115804.04,  3885685.19,  5044563.66,      51.476062,       -1.842023,   99472.13,  115572.38,    7800.85,             8186.02,    54.76,  51045.24,           49253.05,     -2.98,      0.96,           5.59,  +1.35,  +1.04
  5,     UK0006,       0,  0.205158, 2459486.687944207806,  53.34062,  24.76045,              218.81717,  58.45123,       218.83825,       58.44490,     53.34062,     +24.76045,      53.32751,      +24.75942,  1115308.32,  3885210.61,  5042702.55,      51.469907,       -1.837295,   97646.76,  114173.56,    9784.46,            10169.63,     2.59,  49045.83,           49541.86,    -24.11,      7.81,          45.80,  +1.57,  +1.28
  6,     UK0006,       1,  0.245530, 2459486.687944674864,  53.35510,  24.21072,              218.35312,  57.95869,       218.33206,       57.96500,     53.35510,     +24.21072,      53.37015,      +24.21175,  1114927.93,  3884846.43,  5041274.37,      51.465181,       -1.833704,   96246.05,  113112.81,   11306.63,            11691.80,  -507.40,  37703.71,           48378.46,     24.10,     -7.79,          46.19,  +4.68,  +4.41
  0,     UK001Z,       1,  0.000000, 2459486.687941836193, 154.10506,  58.53987,               47.26663,  45.39284,        47.20425,       45.36335,    154.10506,     +58.53987,     154.19389,      +58.56521,  1117840.07,  3887634.40,  5052207.79,      51.501304,       -1.861434,  106970.25,  149023.14,       0.00,               38.77,   198.56,      0.00,           47434.81,   -103.73,    -90.07,         190.15,  +5.59,  +4.72
  1,     UK001Z,       0,  0.040276, 2459486.687942302320, 154.64800,  58.09867,               47.63229,  44.93514,        47.61556,       44.92726,    154.64800,     +58.09867,     154.67187,      +58.10541,  1117337.37,  3887153.14,  5050320.46,      51.495078,       -1.856642,  105118.85,  147539.62,    2011.55,             2050.32,   182.78,  49944.04,           47434.81,    -27.68,    -23.98,          51.20,  +3.09,  +2.25
  2,     UK001Z,       0,  0.080512, 2459486.687942767981, 155.08699,  57.64077,               48.04263,  44.51185,        48.01303,       44.49795,    155.08699,     +57.64077,     155.12907,      +57.65260,  1116853.62,  3886690.01,  5048504.23,      51.489082,       -1.852036,  103337.27,  146123.62,    3947.32,             3986.09,    93.23,  48110.38,           47434.81,    -48.71,    -42.22,          90.99,  +1.80,  +0.98
  3,     UK001Z,       0,  0.120772, 2459486.687943234108, 155.57268,  57.23704,               48.35822,  44.08721,        48.37814,       44.09653,    155.57268,     +57.23704,     155.54522,      +57.22915,  1116410.68,  3886265.97,  5046841.27,      51.483590,       -1.847831,  101706.09,  144837.07,    5719.73,             5758.50,  -160.88,  44024.10,           47434.81,     32.64,     28.23,          61.46,  +1.54,  +0.74
  4,     UK001Z,       0,  0.161008, 2459486.687943699770, 155.98490,  56.74388,               48.79796,  43.64775,        48.78490,       43.64165,    155.98490,     +56.74388,     156.00383,      +56.74902,  1115919.84,  3885796.05,  5044998.45,      51.477500,       -1.843152,   99898.57,  143424.11,    7683.84,             7722.61,  -222.08,  48814.80,           47392.06,    -21.28,    -18.43,          40.49,  +1.33,  +0.55
  5,     UK001Z,       0,  0.201316, 2459486.687944166362, 156.51817,  56.18602,               49.25467,  43.11127,        49.25147,       43.10979,    156.51817,     +56.18602,     156.52345,      +56.18727,  1115360.11,  3885260.18,  5042896.95,      51.470550,       -1.837791,   97837.43,  141829.66,    9923.65,             9962.42,   -11.21,  55567.42,           48549.47,     -5.17,     -4.48,           9.95,  +1.56,  +0.80
  6,     UK001Z,       0,  0.241576, 2459486.687944632024, 156.96513,  55.75855,               49.57806,  42.67634,        49.61106,       42.69163,    156.96513,     +55.75855,     156.92052,      +55.74579,  1114929.39,  3884847.83,  5041279.87,      51.465200,       -1.833703,   96251.45,  140613.16,   11647.16,            11685.93,  -314.22,  42809.54,           48347.56,     53.23,     46.01,         103.21,  +2.46,  +1.72

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.