Orbital Analysis for matched events on 20210929_020852.836_UK

Summary for Event
-----------------
shower ID 208 SPE
Lg 75.50° Bg 18.72° Vg 64.79km/s
mass 0.01269g, abs. mag -0.7
Path Details
------------
start -4.23° 50.42° 118.07km
end   -4.36° 50.43° 100.09km

Orbit Details
-------------
Semimajor axis 9.95A.U., eccentricity 0.93, inclination 143.21°, Period 31.40Y, LA Sun 185.86°, last Perihelion 1990-06-10

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: 2459486.589500420727
Time: 2021-09-29 02:08:52.836351 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0024
 Convergence angle = 30.48471 deg
 R.A. =  71.54285  Dec = +41.19314 deg

Best intersection: Stations UK000T and UK0024 with Qconv = 30.48 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3352967.48 +/- 56.54 m
 Y =   2440521.47 +/- 29.94 m
 Z =   4983838.73 +/- 26.30 m
 Vx =    15418.83 +/- 352.48 m/s
 Vy =    46853.71 +/- 232.50 m/s
 Vz =    43445.81 +/- 177.13 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.435708e+03, +9.647595e+02, +1.127462e+03, +1.732323e+04, +2.780787e+03, +4.007195e+03
+9.647595e+02, +9.658734e+02, +6.570996e+02, +3.072208e+03, +1.784135e+03, -3.498219e+02
+1.127462e+03, +6.570996e+02, +7.401404e+02, +4.768862e+03, +8.207376e+02, +1.074095e+03
+1.732323e+04, +3.072208e+03, +4.768862e+03, +1.343426e+05, +1.111170e+04, +3.631585e+04
+2.780787e+03, +1.784135e+03, +8.207376e+02, +1.111170e+04, +5.959809e+03, -9.097807e+02
+4.007195e+03, -3.498219e+02, +1.074095e+03, +3.631585e+04, -9.097807e+02, +1.302959e+04

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK000T: 0.000000 s
    UK0024: -0.000055 s

Reference point on the trajectory:
  Time: 2021-09-29 02:08:52.836351 UTC
  Lon     = +-4.233858 +/- 0.0004 deg
  Lat     = +50.421415 +/- 0.0003 deg
  Lat geo = +50.235753 +/- 0.0003 deg
  Ht      =  118080.39 +/- 54.05 m

  JD dynamic   = 2459486.590301161632 
  LST apparent = 36.0497162982 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  71.78442 +/- 0.3784 deg
  Dec       = +41.37351 +/- 0.0739 deg
  Azimuth   =  96.29773 +/- 0.4028 deg
  Elevation = +63.83683 +/- 0.2354 deg
  Vavg      =  63.93041 +/- 0.1460 km/s
  Vinit     =  65.73089 +/- 0.1715 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  72.06854 +/- 0.3784 deg
  Dec       = +41.27161 +/- 0.0739 deg
  Azimuth   =  96.23283 +/- 0.4028 deg
  Elevation = +63.60212 +/- 0.2354 deg
  Vavg      =  64.06351 +/- 0.1460 km/s
  Vinit     =  65.86399 +/- 0.1715 km/s
Radiant (geocentric, J2000):
  R.A.   =  71.62158 +/- 0.3814 deg
  Dec    = +41.23369 +/- 0.0743 deg
  Vg     =  64.78886 +/- 0.1739 km/s
  Vinf   =  65.73089 +/- 0.1715 km/s
  Zc     =  26.14341 +/- 0.2365 deg
  Zg     =  26.33544 +/- 0.2392 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.50197 +/- 0.3024 deg
  Bg     = +18.71648 +/- 0.0778 deg
  Vh     =  41.01084 +/- 0.2555 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  57.71969 +/- 0.4190 deg
  Bh     = +30.46353 +/- 0.1387 deg
  Vh_x   = -18.87875 +/- 0.3549 km/s
  Vh_y   = -29.88597 +/- 0.0779 km/s
  Vh_z   = -20.79208 +/- 0.1104 km/s
Orbit:
  La Sun = 185.864026 +/- 0.0000 deg
  a      =   9.953990 +/- 45.7136 AU
  e      =   0.928990 +/- 0.0169
  i      = 143.207201 +/- 0.1597 deg
  peri   = 247.133411 +/- 0.0883 deg
  node   = 185.864426 +/- 0.0000 deg
  Pi     =  72.997837 +/- 0.0883 deg
  q      =   0.706829 +/- 0.0032 AU
  f      = 292.865257 +/- 0.0883 deg
  M      = 358.825892 +/- 0.2992 deg
  Q      =  19.201152 +/- 91.4293 AU
  n      =   0.031384 +/- 0.0080 deg/day
  T      =  31.404831 +/- 679.8479 years
  Last perihelion JD = 2448053.186886 (1990-06-10 16:29:06.988378) +/- 178297.6289 days
  Tj     =  -0.296953 +/- 0.1253
Shower association:
  IAU No.  =  208
  IAU code =  SPE

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.033096e-04, -5.670050e-05, -2.204917e+03, +9.414391e-10, +1.821031e-05, -2.422680e-05
q   , -5.670050e-05, +1.091607e-05, +3.769911e+02, -1.318318e-10, -4.089503e-06, +3.396744e-06
Tp  , -2.204917e+03, +3.769911e+02, +3.282987e+10, -1.332663e-02, -6.096042e+01, +3.440486e+02
node, +9.414391e-10, -1.318318e-10, -1.332663e-02, +1.241338e-14, -3.847310e-11, -3.184957e-10
peri, +1.821031e-05, -4.089503e-06, -6.096042e+01, -3.847310e-11, +2.579354e-06, +9.803072e-07
i   , -2.422680e-05, +3.396744e-06, +3.440486e+02, -3.184957e-10, +9.803072e-07, +8.172100e-06

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 4.114708
 a2 = 14.106958

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 1.809e-06 s
  Stddev    = 1.35e-03 s

Begin point on the trajectory:
  Lon =    -4.233913 +/- 0.0004 deg
  Lat =    50.421419 +/- 0.0003 deg
  Ht  = 118072.23 +/- 43.65 m
End point on the trajectory:
  Lon =    -4.356882 +/- 0.0006 deg
  Lat =    50.429933 +/- 0.0003 deg
  Ht  = 100094.07 +/- 46.38 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,    True,    -1.778230,    50.857470,   24.00, 3898.058091,   0.938897,   108866.81,   102279.10,          0.157037,       nan,       nan,              80.39, 0.0000,    True,    True, {"ff_name": "FF_UK000H_20210929_020851_234_0696576.fits"}
    UK000T,   False,    -3.557111,    51.483925,   37.50,   0.001061,  45.993032,   118072.23,   101857.67,          0.009612,     23.61,     15.19,              57.66, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_020850_944_0672000.fits"}
    UK0024,   False,    -2.949770,    50.877440,   82.00,  15.044897,   2.762292,   114265.85,   100094.07,          0.008680,     22.97,      1.09,              63.51, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210929_020848_769_0690176.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,       1,  0.230775, 2459486.589503091760, 337.76714,  14.48974,              256.09536,  29.52457,       255.89195,       29.49436,    337.76714,     +14.48974,     337.88997,      +14.35439,  3350559.16,  2433203.20,  4977052.76,      50.425788,       -4.297082,  108866.81,  215580.94,       0.00,            10266.76, -4757.28,      0.00,           60871.26,    -44.81,    674.22,         646.51,  +4.48,  +2.81
  1,     UK000H,       1,  0.271187, 2459486.589503559284, 337.32709,  14.06498,              256.16612,  28.92584,       256.00839,       28.90241,    337.32709,     +14.06498,     337.42331,      +13.95962,  3350027.68,  2431588.19,  4975555.22,      50.426750,       -4.311015,  106833.92,  215343.35,    2265.69,            12532.46, -5147.90,  56064.89,           60871.26,    -34.55,    525.22,         504.16,  +1.77,  +0.10
  2,     UK000H,       1,  0.311631, 2459486.589504027739, 336.79343,  13.61644,              256.30114,  28.25084,       256.13954,       28.22684,    336.79343,     +13.61644,     336.89281,      +13.50803,  3349422.40,  2429748.91,  4973849.71,      50.427844,       -4.326872,  104518.91,  215100.26,    4846.02,            15112.78, -5226.00,  63799.95,           60871.26,    -35.62,    540.83,         519.74,  +1.43,  -0.23
  3,     UK000H,       1,  0.352051, 2459486.589504495263, 336.26937,  13.18980,              256.44437,  27.59824,       256.26517,       27.57164,    336.26937,     +13.18980,     336.38031,      +13.06909,  3348836.74,  2427969.23,  4972199.48,      50.428902,       -4.342231,  102279.10,  214894.69,    7342.71,            17609.48, -5386.15,  61768.80,           60871.26,    -39.87,    602.71,         579.77,  +2.55,  +0.89
  0,     UK000T,       0,  0.000000, 2459486.589500420727,  20.34663,   5.43380,              202.18807,  41.97973,       202.17980,       41.97617,     20.34663,      +5.43380,      20.35179,       +5.42889,  3352965.35,  2440514.98,  4983832.72,      50.421419,       -4.233913,  118072.23,  174543.93,       0.00,                9.10,   154.13,      0.00,           64374.79,     11.70,     18.20,          25.57,  +4.26,  +3.05
  1,     UK000T,       0,  0.040740, 2459486.589500892442,  19.83815,   4.89797,              202.67520,  41.33854,       202.67472,       41.33833,     19.83815,      +4.89797,      19.83863,       +4.89768,  3352352.04,  2438651.31,  4982104.60,      50.422535,       -4.249921,  115725.65,  173180.39,    2614.54,             2623.64,    90.79,  64176.12,           64374.79,      0.69,      1.07,           1.51,  +1.87,  +0.68
  2,     UK000T,       0,  0.081484, 2459486.589501363691,  19.32759,   4.35862,              203.15551,  40.69160,       203.16282,       40.69473,     19.32759,      +4.35862,      19.32331,       +4.36302,  3351744.71,  2436805.77,  4980393.30,      50.423638,       -4.265786,  113402.09,  171858.84,    5203.63,             5212.73,     1.75,  63545.43,           64374.79,    -10.33,    -16.06,          22.92,  +1.37,  +0.19
  3,     UK000T,       0,  0.122244, 2459486.589501835406,  18.77763,   3.80590,              203.67292,  40.02006,       203.66514,       40.01675,     18.77763,      +3.80590,      18.78309,       +3.80120,  3351116.74,  2434897.53,  4978623.86,      50.424777,       -4.282197,  110999.79,  170522.99,    7880.69,             7889.79,    -0.39,  65678.58,           64374.79,     10.97,     17.06,          24.54,  +0.91,  -0.25
  4,     UK000T,       0,  0.163048, 2459486.589502308052,  18.22497,   3.22147,              204.17413,  39.31508,       204.17322,       39.31470,     18.22497,      +3.22147,      18.22624,       +3.22092,  3350478.55,  2432958.25,  4976825.63,      50.425934,       -4.298886,  108558.61,  169198.10,   10601.30,            10610.40,    38.14,  66675.16,           64938.27,      1.28,      2.00,           2.89,  +0.70,  -0.44
  5,     UK000T,       0,  0.203828, 2459486.589502779767,  17.66855,   2.65593,              204.67714,  38.62538,       204.66458,       38.62006,     17.66855,      +2.65593,      17.67750,       +2.64824,  3349858.58,  2431074.34,  4975078.74,      50.427056,       -4.315116,  106187.33,  167943.49,   13244.23,            13253.33,     0.57,  64809.38,           65080.70,     17.68,     27.51,          40.17,  +0.67,  -0.46
  6,     UK000T,       0,  0.244620, 2459486.589503251947,  17.13044,   2.07837,              205.14485,  37.92693,       205.14433,       37.92671,     17.13044,      +2.07837,      17.13180,       +2.07805,  3349250.51,  2429226.58,  4973365.38,      50.428155,       -4.331049,  103861.73,  166744.71,   15836.45,            15845.55,   -88.51,  63547.26,           64967.14,      0.72,      1.12,           1.65,  +1.48,  +0.37
  7,     UK000T,       0,  0.285324, 2459486.589503723197,  16.66970,   1.56495,              205.53234,  37.30930,       205.55659,       37.31951,     16.66970,      +1.56495,      16.65506,       +1.57996,  3348726.48,  2427634.18,  4971888.80,      50.429101,       -4.344814,  101857.67,  165737.84,   18070.43,            18079.53,  -530.04,  54883.46,           64081.00,    -34.15,    -53.08,          78.55,  +2.80,  +1.70
  0,     UK0024,       0,  0.063542, 2459486.589501156937, 356.78358,  21.00504,              241.89478,  46.52444,       241.90193,       46.52589,    356.78358,     +21.00504,     356.78054,      +21.00913,  3351970.48,  2437491.85,  4981029.47,      50.423228,       -4.259875,  114265.85,  156126.30,       0.00,             4250.24,   218.59,      0.00,           64483.63,     -0.67,    -13.95,          18.46,  +3.20,  +2.23
  1,     UK0024,       0,  0.104238, 2459486.589501627721, 356.10152,  20.51615,              242.21320,  45.75172,       242.22769,       45.75464,    356.10152,     +20.51615,     356.09515,      +20.52452,  3351410.94,  2435791.55,  4979452.85,      50.424244,       -4.274512,  112125.25,  155151.17,    2385.34,             6635.58,   -71.06,  58613.59,           64483.63,     -1.36,    -28.45,          37.87,  +1.66,  +0.71
  2,     UK0024,       0,  0.145042, 2459486.589502100367, 355.31171,  19.95752,              242.58594,  44.86150,       242.59261,       44.86284,    355.31171,     +19.95752,     355.30913,      +19.96141,  3350772.95,  2433852.87,  4977655.18,      50.425400,       -4.291189,  109684.73,  154076.01,    5105.11,             9355.35,   -33.38,  66654.41,           64483.63,     -0.63,    -13.19,          17.68,  +1.17,  +0.23
  3,     UK0024,       0,  0.185870, 2459486.589502572548, 354.50883,  19.37826,              242.95276,  43.94583,       242.95553,       43.94639,    354.50883,     +19.37826,     354.50826,      +19.37990,  3350127.09,  2431890.28,  4975835.34,      50.426570,       -4.308084,  107214.33,  153029.22,    7858.41,            12108.66,    36.27,  67436.76,           64483.63,     -0.26,     -5.53,           7.46,  +0.96,  +0.04
  4,     UK0024,       0,  0.226642, 2459486.589503044728, 353.76593,  18.83720,              243.28594,  43.09310,       243.28348,       43.09261,    353.76593,     +18.83720,     353.76809,      +18.83573,  3349533.95,  2430087.88,  4974164.03,      50.427643,       -4.323625,  104945.74,  152106.21,   10386.99,            14637.24,  -115.13,  62017.60,           64358.31,      0.24,      4.95,           6.72,  +0.92,  +0.01
  5,     UK0024,       0,  0.267402, 2459486.589503516443, 353.04617,  18.29872,              243.59547,  42.25424,       243.59638,       42.25443,    353.04617,     +18.29872,     353.04683,      +18.29927,  3348959.09,  2428341.03,  4972544.24,      50.428681,       -4.338704,  102747.23,  151247.02,   12837.65,            17087.89,  -343.66,  60123.99,           63717.97,     -0.09,     -1.84,           2.51,  +1.45,  +0.55
  6,     UK0024,       0,  0.308326, 2459486.589503990021, 352.15867,  17.65518,              243.99132,  41.23466,       243.96701,       41.22979,    352.15867,     +17.65518,     352.17234,      +17.64038,  3348265.28,  2426232.72,  4970589.28,      50.429933,       -4.356882,  100094.07,  150255.32,   15795.38,            20045.62,   -75.91,  72273.66,           64409.30,      2.35,     49.57,          68.13,  +2.48,  +1.60
  7,     UK0024,       1,  0.349266, 2459486.589504464064, 351.29374,  16.96501,              244.32543,  40.18869,       244.33107,       40.18982,    351.29374,     +16.96501,     351.29228,      +16.96848,  3347570.86,  2424122.58,  4968632.62,      50.431184,       -4.375092,   97438.83,  149315.02,   18755.69,            23005.94,   193.39,  72308.66,           65358.00,     -0.55,    -11.60,          16.05,  +6.40,  +5.53

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.