Orbital Analysis for matched events on 20210929_221229.026_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 30.20° Bg 38.30° Vg 37.82km/s
mass 0.01372g, abs. mag 1.2
Path Details
------------
start -2.58° 51.44° 101.68km
end   -2.64° 51.44° 88.90km

Orbit Details
-------------
Semimajor axis 6.61A.U., eccentricity 0.92, inclination 52.65°, Period 16.98Y, LA Sun 186.68°, last Perihelion 2004-11-18

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: 2459487.425335956737
Time: 2021-09-29 22:12:29.026662 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000S and UK001Z
 Convergence angle = 43.86691 deg
 R.A. =   9.93147  Dec = +46.57612 deg

Best intersection: Stations UK000S and UK001Z with Qconv = 43.87 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3789525.98 +/- 15.22 m
 Y =  -1421986.88 +/- 4.46 m
 Z =   5043503.00 +/- 25.29 m
 Vx =    26611.16 +/- 132.63 m/s
 Vy =     4416.01 +/- 38.47 m/s
 Vz =    28744.45 +/- 138.30 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.480332e+02, +2.841429e+01, +2.118502e+02, -1.543661e+02, -1.424280e+02, -5.489427e+02
+2.841429e+01, +2.108271e+01, -1.310708e-01, -7.362717e+01, +1.275210e+01, -2.814734e+02
+2.118502e+02, -1.310708e-01, +6.840948e+02, +4.183334e+02, -1.821454e+02, +2.238040e+03
-1.543661e+02, -7.362717e+01, +4.183334e+02, +1.019773e+03, -1.148160e+02, +4.182728e+03
-1.424280e+02, +1.275210e+01, -1.821454e+02, -1.148160e+02, +3.692029e+02, -5.648861e+02
-5.489427e+02, -2.814734e+02, +2.238040e+03, +4.182728e+03, -5.648861e+02, +1.948230e+04

Timing offsets (from input data):
    UK000S: -0.000137 s
    UK001Z: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 22:12:29.026662 UTC
  Lon     = +-2.576386 +/- 0.0001 deg
  Lat     = +51.436864 +/- 0.0001 deg
  Lat geo = +51.252089 +/- 0.0001 deg
  Ht      =  101643.66 +/- 25.33 m

  JD dynamic   = 2459487.426136697643 
  LST apparent = 339.4318318059 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =   9.42214 +/- 0.0424 deg
  Dec       = +46.81881 +/- 0.1080 deg
  Azimuth   =  91.48573 +/- 0.2702 deg
  Elevation = +69.99095 +/- 0.0622 deg
  Vavg      =  38.04912 +/- 0.0717 km/s
  Vinit     =  39.41952 +/- 0.1197 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =   9.96214 +/- 0.0424 deg
  Dec       = +46.66158 +/- 0.1080 deg
  Azimuth   =  91.45392 +/- 0.2702 deg
  Elevation = +69.58901 +/- 0.0622 deg
  Vavg      =  38.15105 +/- 0.0717 km/s
  Vinit     =  39.52145 +/- 0.1197 km/s
Radiant (geocentric, J2000):
  R.A.   =   9.67795 +/- 0.0442 deg
  Dec    = +46.52924 +/- 0.1114 deg
  Vg     =  37.82362 +/- 0.1248 km/s
  Vinf   =  39.41952 +/- 0.1197 km/s
  Zc     =  20.00508 +/- 0.0615 deg
  Zg     =  20.42265 +/- 0.0652 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  30.20349 +/- 0.0608 deg
  Bg     = +38.30485 +/- 0.1051 deg
  Vh     =  40.46128 +/- 0.0823 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 333.82365 +/- 0.1112 deg
  Bh     = +35.41474 +/- 0.1452 deg
  Vh_x   = -29.59318 +/- 0.0363 km/s
  Vh_y   =  14.54648 +/- 0.0546 km/s
  Vh_z   = -23.44695 +/- 0.1305 km/s
Orbit:
  La Sun = 186.684989 +/- -0.0000 deg
  a      =   6.605188 +/- 0.2754 AU
  e      =   0.922536 +/- 0.0035
  i      =  52.651648 +/- 0.2300 deg
  peri   = 271.108974 +/- 0.3186 deg
  node   = 186.686110 +/- 0.0000 deg
  Pi     =  97.795084 +/- 0.3186 deg
  q      =   0.511662 +/- 0.0017 AU
  f      = 268.889335 +/- 0.3186 deg
  M      = 357.632973 +/- 0.1911 deg
  Q      =  12.698714 +/- 0.5491 AU
  n      =   0.058060 +/- 0.0045 deg/day
  T      =  16.975728 +/- 1.0198 years
  Last perihelion JD = 2453327.702173 (2004-11-18 04:51:07.765805) +/- 372.5986 days
  Tj     =   1.315408 +/- 0.0403
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.285854e-05, +6.015392e-06, -1.353591e+00, -5.380785e-10, -2.011574e-05, +1.431953e-05
q   , +6.015392e-06, +2.943600e-06, -6.429830e-01, -2.480832e-10, -9.674855e-06, +6.605935e-06
Tp  , -1.353591e+00, -6.429830e-01, +1.435779e+05, +5.683987e-05, +2.137208e+00, -1.513269e+00
node, -5.380785e-10, -2.480832e-10, +5.683987e-05, +2.352020e-14, +8.340042e-10, -6.262896e-10
peri, -2.011574e-05, -9.674855e-06, +2.137208e+00, +8.340042e-10, +3.200894e-05, -2.220245e-05
i   , +1.431953e-05, +6.605935e-06, -1.513269e+00, -6.262896e-10, -2.220245e-05, +1.667712e-05

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. = 4.427e-06 s
  Stddev    = 2.10e-03 s

Begin point on the trajectory:
  Lon =    -2.576188 +/- 0.0001 deg
  Lat =    51.436861 +/- 0.0001 deg
  Ht  = 101682.11 +/- 24.78 m
End point on the trajectory:
  Lon =    -2.643709 +/- 0.0001 deg
  Lat =    51.437912 +/- 0.0001 deg
  Ht  = 88899.38 +/- 19.30 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
    UK000S,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   101033.75,    89323.99,          0.005778,     12.43,      3.22,              55.52, 1.0000,    True,    True, {"ff_name": "FF_UK000S_20210929_221223_670_0345088.fits"}
    UK001Z,   False,    -2.949729,    50.877448,   82.00,   0.000000,   0.000000,   101682.11,    88899.38,          0.005193,      8.98,      4.76,              31.75, 1.0000,    True,    True, {"ff_name": "FF_UK001Z_20210929_221223_501_0339200.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,     UK000S,       0,  0.023947, 2459487.425336235669, 262.56236,  64.11540,              319.28681,  49.16775,       319.29207,       49.16665,    262.56236,     +64.11540,     262.55745,      +64.11828,  3789087.80, -1422059.59,  5043029.69,      51.436915,       -2.579630,  101033.75,  132737.48,       0.00,              649.09,   201.80,      0.00,           37776.00,      2.10,      8.11,          13.02,  +4.13,  +3.52
  1,     UK000S,       1,  0.064311, 2459487.425336702727, 261.52217,  63.80312,              319.07739,  48.63194,       319.03265,       48.64131,    261.52217,     +63.80312,     261.56575,      +63.77870,  3788050.84, -1422231.67,  5041909.62,      51.437035,       -2.587239,   99590.41,  131874.03,    1536.05,             2185.14,   146.72,  38055.02,           37776.00,    -17.83,    -69.13,         111.67,  +3.38,  +2.78
  2,     UK000S,       0,  0.144975, 2459487.425337636378, 259.68593,  63.09298,              318.53904,  47.60787,       318.53826,       47.60803,    259.68593,     +63.09298,     259.68732,      +63.09256,  3786053.18, -1422563.18,  5039751.81,      51.437265,       -2.601920,   96809.94,  130246.18,    4495.22,             5144.31,   -73.85,  36685.10,           37776.00,     -0.31,     -1.21,           1.98,  +1.91,  +1.34
  3,     UK000S,       0,  0.185363, 2459487.425338103902, 258.65911,  62.69414,              318.26873,  47.02104,       318.26712,       47.02138,    258.65911,     +62.69414,     258.66152,      +62.69327,  3784941.74, -1422747.62,  5038551.27,      51.437393,       -2.610075,   95263.02,  129360.48,    6141.62,             6790.70,   -19.52,  40764.52,           37776.00,     -0.65,     -2.51,           4.13,  +1.63,  +1.07
  4,     UK000S,       0,  0.225771, 2459487.425338571426, 257.61916,  62.27299,              317.99602,  46.41011,       317.99169,       46.41101,    257.61916,     +62.27299,     257.62455,      +62.27066,  3783802.28, -1422936.70,  5037320.46,      51.437523,       -2.618435,   93677.13,  128467.98,    7829.52,             8478.61,    75.52,  41771.53,           38505.03,     -1.75,     -6.77,          11.23,  +1.66,  +1.12
  5,     UK000S,       0,  0.266139, 2459487.425339038484, 256.70078,  61.87759,              317.74509,  45.85238,       317.74480,       45.85244,    256.70078,     +61.87759,     256.70219,      +61.87744,  3782774.59, -1423107.24,  5036210.39,      51.437640,       -2.625994,   92246.83,  127677.43,    9351.84,            10000.93,     6.55,  37711.15,           38677.57,     -0.12,     -0.45,           0.74,  +1.77,  +1.24
  6,     UK000S,       0,  0.306511, 2459487.425339506008, 255.79452,  61.49453,              317.52587,  45.29745,       317.50622,       45.30154,    255.79452,     +61.49453,     255.81648,      +61.48402,  3781774.29, -1423273.24,  5035129.90,      51.437754,       -2.633360,   90854.67,  126920.99,   10833.61,            11482.70,  -103.13,  36702.84,           38585.69,     -8.00,    -30.92,          51.90,  +2.97,  +2.45
  7,     UK000S,       0,  0.346915, 2459487.425339973532, 254.85355,  61.04080,              317.24817,  44.68761,       317.24656,       44.68795,    254.85355,     +61.04080,     254.85671,      +61.03994,  3780674.43, -1423455.76,  5033941.87,      51.437878,       -2.641446,   89323.99,  126103.66,   12462.84,            13111.93,   -66.60,  40323.52,           38659.77,     -0.66,     -2.54,           4.29,  +3.67,  +3.17
  0,     UK001Z,       0,  0.000000, 2459487.425335956737,  39.81873,  75.67928,               22.63394,  55.88642,        22.63167,       55.88739,     39.81873,     +75.67928,      39.81387,      +75.68034,  3789553.60, -1421982.29,  5043532.84,      51.436861,       -2.576188,  101682.11,  122275.71,       0.00,               40.92,   537.60,      0.00,           36929.40,      1.61,     -3.02,           5.78,  +4.18,  +3.74
  1,     UK001Z,       1,  0.040172, 2459487.425336421467,  40.39276,  75.89820,               22.29854,  55.70686,        22.34636,       55.68629,     40.39276,     +75.89820,      40.49621,      +75.87551,  3788854.45, -1422098.32,  5042777.64,      51.436942,       -2.581371,  100708.95,  121391.44,    1035.67,              994.75,   -92.13,  25780.83,           36929.40,    -33.67,     63.45,         122.05,  +4.12,  +3.70
  2,     UK001Z,       0,  0.080492, 2459487.425336888526,  41.66885,  76.19206,               21.88436,  55.35177,        21.88629,       55.35095,     41.66885,     +76.19206,      41.67339,      +76.19111,  3787719.29, -1422286.69,  5041551.48,      51.437073,       -2.589686,   99128.93,  119962.57,    2717.19,             2676.27,    -0.00,  41704.53,           36929.40,     -1.35,      2.55,           4.96,  +2.82,  +2.42
  3,     UK001Z,       0,  0.120808, 2459487.425337355118,  42.92203,  76.51020,               21.41906,  55.00818,        21.42374,       55.00619,     42.92203,     +76.51020,      42.93276,      +76.50785,  3786585.48, -1422474.84,  5040326.78,      51.437204,       -2.597995,   97550.82,  118542.13,    4396.73,             4355.81,    90.29,  41659.23,           36929.40,     -3.25,      6.11,          12.04,  +2.44,  +2.07
  4,     UK001Z,       0,  0.161104, 2459487.425337821245,  44.14558,  76.79454,               21.00350,  54.68665,        21.00315,       54.68679,     44.14558,     +76.79454,      44.14549,      +76.79472,  3785563.07, -1422644.51,  5039222.41,      51.437322,       -2.605508,   96127.80,  117266.97,    5911.24,             5870.32,    16.35,  37584.63,           37692.77,      0.24,     -0.46,           0.91,  +2.15,  +1.80
  5,     UK001Z,       0,  0.201416, 2459487.425338287838,  45.48519,  77.09137,               20.56598,  54.34725,        20.56576,       54.34734,     45.48519,     +77.09137,      45.48557,      +77.09148,  3784505.24, -1422820.05,  5038079.78,      51.437443,       -2.613278,   94655.50,  115953.88,    7478.21,             7437.29,    -5.75,  38871.17,           38079.19,      0.14,     -0.27,           0.54,  +1.93,  +1.61
  6,     UK001Z,       0,  0.241724, 2459487.425338754430,  46.89083,  77.37545,               20.14532,  54.00585,        20.13831,       54.00880,     46.89083,     +77.37545,      46.87642,      +77.37923,  3783478.03, -1422990.51,  5036970.22,      51.437560,       -2.620832,   93225.84,  114684.92,    8999.85,             8958.93,   -73.04,  37750.21,           38181.87,      4.76,     -8.95,          18.23,  +1.71,  +1.41
  7,     UK001Z,       0,  0.282056, 2459487.425339221489,  48.43371,  77.67907,               19.68811,  53.64478,        19.68867,       53.64454,     48.43371,     +77.67907,      48.43612,      +77.67875,  3782402.63, -1423168.97,  5035808.61,      51.437682,       -2.628736,   91729.15,  113363.33,   10592.85,            10551.93,   -69.90,  39497.21,           38334.36,     -0.38,      0.72,           1.47,  +1.84,  +1.57
  8,     UK001Z,       0,  0.322412, 2459487.425339688547,  50.20046,  77.98057,               19.23039,  53.25071,        19.21936,       53.25530,     50.20046,     +77.98057,      50.17778,      +77.98686,  3781285.80, -1423354.30,  5034602.25,      51.437809,       -2.636942,   90174.84,  111998.50,   12247.23,            12206.30,    -6.34,  40994.54,           38583.13,      7.37,    -13.88,          28.95,  +2.24,  +1.99
  9,     UK001Z,       0,  0.362700, 2459487.425340154674,  51.66946,  78.24699,               18.81451,  52.93427,        18.83048,       52.92764,     51.66946,     +78.24699,      51.70552,      +78.23766,  3780369.34, -1423506.39,  5033612.32,      51.437912,       -2.643709,   88899.38,  110884.08,   13604.79,            13563.87,  -236.91,  33696.54,           38443.26,    -10.59,     19.98,          42.07,  +2.58,  +2.36

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.