Orbital Analysis for matched events on 20210929_012844.213_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 12.84° Bg 31.17° Vg 31.91km/s
mass 0.01557g, abs. mag 1.6
Path Details
------------
start -2.90° 50.61° 90.69km
end   -2.83° 50.64° 78.81km

Orbit Details
-------------
Semimajor axis 21.99A.U., eccentricity 0.97, inclination 32.03°, Period 103.14Y, LA Sun 185.84°, last Perihelion 1918-09-18

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: 2459486.561622839421
Time: 2021-09-29 01:28:44.295482 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK003Z
 Convergence angle = 19.08612 deg
 R.A. = 358.81999  Dec = +33.53328 deg

Best intersection: Stations UK000H and UK003Z with Qconv = 19.09 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3654055.61 +/- 433.81 m
 Y =   1887723.81 +/- 148.06 m
 Z =   4976586.13 +/- 169.02 m
 Vx =    27980.64 +/- 1828.40 m/s
 Vy =     -610.04 +/- 616.66 m/s
 Vz =    18935.61 +/- 1451.85 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.347941e+05, -4.287404e+04, +5.523620e+04, +4.994768e+05, -1.603820e+05, +1.959046e+05
-4.287404e+04, +1.439889e+04, -1.745801e+04, -1.656604e+05, +5.329294e+04, -6.665156e+04
+5.523620e+04, -1.745801e+04, +2.413098e+04, +1.987428e+05, -6.668166e+04, +7.985010e+04
+4.994768e+05, -1.656604e+05, +1.987428e+05, +2.487157e+06, -7.809463e+05, +9.754055e+05
-1.603820e+05, +5.329294e+04, -6.668166e+04, -7.809463e+05, +2.580746e+05, -3.108912e+05
+1.959046e+05, -6.665156e+04, +7.985010e+04, +9.754055e+05, -3.108912e+05, +3.928103e+05

Timing offsets (from input data):
    UK000H: 0.000387 s
    UK003Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 01:28:44.295482 UTC
  Lon     = +-2.899155 +/- 0.0046 deg
  Lat     = +50.614445 +/- 0.0013 deg
  Lat geo = +50.428236 +/- 0.0013 deg
  Ht      =   90706.97 +/- 331.47 m

  JD dynamic   = 2459486.562424531206 
  LST apparent = 27.3213551434 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 358.75103 +/- 1.3590 deg
  Dec       = +34.08146 +/- 0.8837 deg
  Azimuth   = 242.45186 +/- 0.6672 deg
  Elevation = +63.46484 +/- 1.3874 deg
  Vavg      =  32.59606 +/- 1.8677 km/s
  Vinit     =  33.79121 +/- 1.8319 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 359.29301 +/- 1.3590 deg
  Dec       = +34.21703 +/- 0.8837 deg
  Azimuth   = 241.91598 +/- 0.6672 deg
  Elevation = +63.86864 +/- 1.3874 deg
  Vavg      =  32.47839 +/- 1.8677 km/s
  Vinit     =  33.67354 +/- 1.8319 km/s
Radiant (geocentric, J2000):
  R.A.   = 357.84333 +/- 1.2965 deg
  Dec    = +33.39698 +/- 0.8447 deg
  Vg     =  31.91191 +/- 1.9656 km/s
  Vinf   =  33.79121 +/- 1.8319 km/s
  Zc     =  26.44952 +/- 1.3888 deg
  Zg     =  27.21976 +/- 1.3293 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  12.83696 +/- 1.5544 deg
  Bg     = +31.16595 +/- 0.3068 deg
  Vh     =  41.60117 +/- 1.7631 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 322.09455 +/- 1.7226 deg
  Bh     = +23.39320 +/- 0.4095 deg
  Vh_x   = -30.12628 +/- 1.8512 km/s
  Vh_y   =  23.45728 +/- 0.2105 km/s
  Vh_z   = -16.51729 +/- 0.9253 km/s
Orbit:
  La Sun = 185.836653 +/- 0.0000 deg
  a      =  21.992469 +/- 10.6963 AU
  e      =   0.974737 +/- 0.0839
  i      =  32.031786 +/- 1.1858 deg
  peri   = 264.395835 +/- 3.6299 deg
  node   = 185.839325 +/- 0.0001 deg
  Pi     =  90.235160 +/- 3.6300 deg
  q      =   0.555606 +/- 0.0048 AU
  f      = 275.602502 +/- 3.6300 deg
  M      = 359.624821 +/- nan deg
  Q      =  43.429332 +/- 21.3935 AU
  n      =   0.009556 +/- 0.1175 deg/day
  T      = 103.136317 +/- 249443821.7627 years
  Last perihelion JD = 2421854.625966 (1918-09-18 03:01:23.447425) +/- 9180.1285 days
  Tj     =   1.015138 +/- 0.7931
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +5.527913e-03, +2.514652e-04, -5.973056e+02, -8.635610e-08, -4.171120e-03, +1.401238e-03
q   , +2.514652e-04, +1.984843e-05, -3.158983e+01, -3.841844e-09, -2.037618e-04, +6.302924e-05
Tp  , -5.973056e+02, -3.158983e+01, +1.399572e+08, +8.800398e-03, +4.155251e+02, -1.492388e+02
node, -8.635610e-08, -3.841844e-09, +8.800398e-03, +1.392586e-12, +6.572400e-08, -2.249781e-08
peri, -4.171120e-03, -2.037618e-04, +4.155251e+02, +6.572400e-08, +3.208391e-03, -1.062346e-03
i   , +1.401238e-03, +6.302924e-05, -1.492388e+02, -2.249781e-08, -1.062346e-03, +3.642590e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = -0.489973
 a2 = 17.711531

Mean time residuals from time vs. length:
  Station with reference time: UK003Z
  Avg. res. = 2.975e-05 s
  Stddev    = 5.45e-03 s

Begin point on the trajectory:
  Lon =    -2.899056 +/- 0.0047 deg
  Lat =    50.614478 +/- 0.0013 deg
  Ht  = 90690.81 +/- 337.63 m
End point on the trajectory:
  Lon =    -2.827084 +/- 0.0038 deg
  Lat =    50.638829 +/- 0.0011 deg
  Ht  = 78806.82 +/- 292.67 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   1.313522,  15.402054,    90341.00,    78806.82,          0.030006,     55.61,     27.85,              18.05, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_012844_242_0636416.fits"}
    UK003Z,   False,    -1.639327,    51.011519,   64.00,  10.823560,   7.428401,    90690.81,    79997.91,          0.027392,     45.65,     43.51,              22.12, 1.0000,    True,    True, {"ff_name": "FF_UK003Z_20210929_012835_752_0637696.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,     UK000H,       0,  0.021668, 2459486.561623332091, 342.43748,  25.26252,              251.49130,  46.67912,       251.58659,       46.69393,    342.43748,     +25.26252,     342.39398,      +25.31691,  3653716.89,  1887731.20,  4976356.90,      50.615194,       -2.896733,   90341.00,  123357.56,       0.00,              409.06,  -217.58,      0.00,           34230.51,     64.80,    128.94,         241.30,  +5.41,  +4.95
  1,     UK000H,       0,  0.061784, 2459486.561623796821, 342.15778,  25.18454,              251.69202,  46.45315,       251.66953,       46.44959,    342.15778,     +25.18454,     342.16801,      +25.17161,  3652204.90,  1887764.16,  4975333.68,      50.618538,       -2.886820,   88707.47,  121617.09,    1825.97,             2235.02,   252.82,  45517.18,           34230.51,    -15.02,    -30.23,          57.25,  +4.36,  +3.94
  2,     UK000H,       0,  0.101880, 2459486.561624260619, 342.05725,  25.09708,              251.70695,  46.32735,       251.71122,       46.32802,    342.05725,     +25.09708,     342.05547,      +25.09953,  3651480.87,  1887779.95,  4974843.70,      50.620140,       -2.882158,   87925.24,  120788.48,    2700.36,             3109.42,  -227.68,  21807.48,           34230.51,      2.84,      5.71,          10.89,  +6.39,  +5.98
  3,     UK000H,       0,  0.142040, 2459486.561624725349, 341.86399,  24.95095,              251.75704,  46.10192,       251.78563,       46.10641,    341.86399,     +24.95095,     341.85120,      +24.96743,  3650167.59,  1887808.58,  4973954.95,      50.623046,       -2.873562,   86506.47,  119280.72,    4286.36,             4695.42,     1.27,  39492.07,           34230.51,     18.90,     37.87,          73.18,  +4.31,  +3.93
  4,     UK000H,       0,  0.182172, 2459486.561625190079, 341.66099,  24.84161,              251.85186,  45.89815,       251.85496,       45.89864,    341.66099,     +24.84161,     341.66007,      +24.84341,  3648968.00,  1887834.73,  4973143.14,      50.625701,       -2.865721,   85210.57,  117905.84,    5735.06,             6144.12,    93.86,  36098.35,           34716.91,      2.03,      4.07,           7.96,  +2.33,  +1.97
  5,     UK000H,       0,  0.222316, 2459486.561625654809, 341.51026,  24.70611,              251.87081,  45.70602,       251.91657,       45.71318,    341.51026,     +24.70611,     341.48973,      +24.73260,  3647923.45,  1887857.51,  4972436.25,      50.628013,       -2.858911,   84082.19,  116711.00,    6996.53,             7405.58,    -1.19,  31423.54,           34385.13,     29.82,     59.67,         117.90,  +2.36,  +2.02
  6,     UK000H,       0,  0.262420, 2459486.561626118608, 341.35149,  24.61680,              251.94145,  45.54367,       251.97116,       45.54834,    341.35149,     +24.61680,     341.33852,      +24.63405,  3647015.62,  1887877.30,  4971821.89,      50.630023,       -2.853012,   83101.52,  115674.62,    8092.88,             8501.94,  -260.00,  27337.75,           33512.12,     19.22,     38.53,          76.78,  +2.11,  +1.79
  7,     UK000H,       0,  0.302588, 2459486.561626583803, 341.13611,  24.46716,              252.01048,  45.30195,       252.04953,       45.30807,    341.13611,     +24.46716,     341.11888,      +24.48988,  3645711.69,  1887905.73,  4970939.47,      50.632911,       -2.844462,   81693.06,  114184.45,    9667.58,            10076.64,   -42.62,  39202.96,           33623.02,     25.05,     50.17,         101.30,  +2.55,  +2.26
  8,     UK000H,       0,  0.342712, 2459486.561627048068, 340.97276,  24.35374,              252.06305,  45.11860,       252.10891,       45.12578,    340.97276,     +24.35374,     340.95243,      +24.38048,  3644750.43,  1887926.69,  4970288.94,      50.635040,       -2.838200,   80654.73,  113089.31,   10828.47,            11237.53,  -237.57,  28932.49,           33362.11,     29.24,     58.52,         119.31,  +3.71,  +3.44
  9,     UK000H,       0,  0.382832, 2459486.561627512332, 340.81270,  24.24933,              252.12092,  44.94393,       252.16558,       44.95093,    340.81270,     +24.24933,     340.79303,      +24.27543,  3643846.96,  1887946.38,  4969677.53,      50.637041,       -2.832321,   79678.86,  112061.60,   11919.55,            12328.61,  -502.20,  27195.39,           32893.04,     28.29,     56.65,         116.55,  +3.72,  +3.47
 10,     UK000H,       0,  0.422912, 2459486.561627976131, 340.63579,  24.19271,              252.23950,  44.79503,       252.21711,       44.79148,    340.63579,     +24.19271,     340.64785,      +24.17957,  3643039.63,  1887963.98,  4969131.18,      50.638829,       -2.827084,   78806.82,  111145.00,   12894.54,            13303.60,  -881.56,  24326.14,           32248.36,    -14.04,    -28.29,          58.61,  +5.91,  +5.68
  0,     UK003Z,       0,  0.000000, 2459486.561623790301, 343.72921,  18.17632,              243.96881,  41.77765,       244.03891,       41.77825,    343.72921,     +18.17632,     343.68537,      +18.20792,  3654040.65,  1887724.14,  4976576.01,      50.614478,       -2.899056,   90690.81,  134858.12,       0.00,               18.06,   123.61,      0.00,           29989.85,     84.95,     89.01,         188.19,  +5.22,  +4.57
  1,     UK003Z,       0,  0.040192, 2459486.561624255497, 343.55920,  18.02112,              244.01910,  41.55677,       244.04596,       41.55702,    343.55920,     +18.02112,     343.54254,      +18.03328,  3652855.30,  1887749.98,  4975773.83,      50.617100,       -2.891323,   89410.14,  133528.80,    1431.51,             1449.57,   196.98,  35616.77,           29989.85,     32.29,     33.94,          72.36,  +3.39,  +2.76
  2,     UK003Z,       0,  0.080312, 2459486.561624719761, 343.45060,  17.91825,              244.04831,  41.41263,       244.05163,       41.41267,    343.45060,     +17.91825,     343.44885,      +17.91976,  3652100.25,  1887766.44,  4975262.86,      50.618770,       -2.886455,   88594.39,  132685.96,    2343.36,             2361.41,  -246.88,  22727.97,           29989.85,      3.97,      4.18,           8.96,  +6.73,  +6.12
  3,     UK003Z,       0,  0.120476, 2459486.561625184491, 343.34646,  17.71949,              243.99728,  41.19385,       244.05865,       41.19440,    343.34646,     +17.71949,     343.30830,      +17.74735,  3650968.55,  1887791.12,  4974496.99,      50.621274,       -2.879073,   87371.75,  131420.30,    3710.07,             3728.13,  -237.35,  34028.39,           29989.85,     73.09,     76.67,         166.25,  +3.60,  +3.01
  4,     UK003Z,       0,  0.160692, 2459486.561625650153, 343.16248,  17.52528,              244.03162,  40.93347,       244.06643,       40.93380,    343.16248,     +17.52528,     343.14115,      +17.54115,  3649642.64,  1887820.02,  4973599.70,      50.624208,       -2.870392,   85939.37,  129938.58,    5311.32,             5329.38,     4.95,  39816.14,           32120.07,     41.12,     43.21,          94.69,  +2.07,  +1.50
  5,     UK003Z,       0,  0.200880, 2459486.561626115348, 343.01621,  17.33389,              244.03018,  40.69661,       244.07380,       40.69702,    343.01621,     +17.33389,     342.98940,      +17.35382,  3648465.26,  1887845.69,  4972802.92,      50.626814,       -2.862697,   84667.49,  128626.01,    6733.20,             6751.26,    68.83,  35380.70,           33194.27,     51.19,     53.78,         119.06,  +1.94,  +1.39
  6,     UK003Z,       0,  0.241064, 2459486.561626580544, 342.85241,  17.18528,              244.08020,  40.48423,       244.08075,       40.48423,    342.85241,     +17.18528,     342.85307,      +17.18553,  3647429.11,  1887868.28,  4972101.71,      50.629108,       -2.855942,   83548.20,  127473.70,    7984.52,             8002.58,   -37.72,  31139.81,           33357.53,      0.64,      0.67,           1.50,  +2.00,  +1.47
  7,     UK003Z,       0,  0.281236, 2459486.561627045274, 342.71836,  17.00350,              244.07449,  40.26186,       244.08787,       40.26200,    342.71836,     +17.00350,     342.71101,      +17.00965,  3646366.19,  1887891.46,  4971382.39,      50.631461,       -2.849005,   82400.02,  126293.24,    9268.18,             9286.23,  -111.52,  31953.99,           33308.59,     15.50,     16.32,          36.76,  +2.12,  +1.61
  8,     UK003Z,       0,  0.321424, 2459486.561627510469, 342.57540,  16.81521,              244.07309,  40.02914,       244.09519,       40.02936,    342.57540,     +16.81521,     342.56262,      +16.82539,  3645273.97,  1887915.27,  4970643.24,      50.633880,       -2.841869,   81220.24,  125082.04,   10587.21,            10605.27,  -150.49,  32821.66,           33253.28,     25.44,     26.78,          60.91,  +2.08,  +1.59
  9,     UK003Z,       0,  0.361628, 2459486.561627975665, 342.39882,  16.63490,              244.11204,  39.78374,       244.10275,       39.78364,    342.39882,     +16.63490,     342.40628,      +16.63060,  3644142.31,  1887939.94,  4969877.41,      50.636387,       -2.834465,   79997.91,  123829.03,   11953.87,            11971.93,  -142.37,  33993.08,           33265.50,    -10.61,    -11.20,          25.70,  +3.85,  +3.39

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.