Orbital Analysis for matched events on 20210929_220448.409_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 3.31° Bg 19.37° Vg 23.60km/s
mass 0.04719g, abs. mag 0.5
Path Details
------------
start -4.77° 50.31° 94.65km
end   -4.82° 50.35° 85.81km

Orbit Details
-------------
Semimajor axis 3.85A.U., eccentricity 0.84, inclination 14.15°, Period 7.54Y, LA Sun 186.68°, last Perihelion 2014-04-26

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: 2459487.420004736166
Time: 2021-09-29 22:04:48.409205 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000T and UK0021
 Convergence angle = 32.24025 deg
 R.A. = 354.90201  Dec = +19.63488 deg

Best intersection: Stations UK000T and UK0021 with Qconv = 32.24 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3763564.03 +/- 178.16 m
 Y =  -1729870.41 +/- 224.45 m
 Z =   4957437.32 +/- 59.42 m
 Vx =    24290.54 +/- 713.91 m/s
 Vy =    -2292.09 +/- 751.11 m/s
 Vz =     9226.60 +/- 459.87 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.303930e+04, -2.940249e+04, +8.216320e+03, +5.402836e+04, -9.487691e+04, -4.439572e+03
-2.940249e+04, +5.191439e+04, -7.578896e+03, -9.940653e+04, +1.811340e+05, -1.732319e+04
+8.216320e+03, -7.578896e+03, +3.734372e+03, +6.902567e+03, -2.269851e+04, +2.396309e+03
+5.402836e+04, -9.940653e+04, +6.902567e+03, +4.135583e+05, -4.376855e+05, +1.207935e+05
-9.487691e+04, +1.811340e+05, -2.269851e+04, -4.376855e+05, +7.011909e+05, -9.941986e+04
-4.439572e+03, -1.732319e+04, +2.396309e+03, +1.207935e+05, -9.941986e+04, +8.799844e+04

Timing offsets (from input data):
    UK000T: 0.000000 s
    UK0021: 0.000926 s

Reference point on the trajectory:
  Time: 2021-09-29 22:04:48.409205 UTC
  Lon     = +-4.768950 +/- 0.0022 deg
  Lat     = +50.306728 +/- 0.0014 deg
  Lat geo = +50.120251 +/- 0.0014 deg
  Ht      =   94541.26 +/- 188.14 m

  JD dynamic   = 2459487.420805477072 
  LST apparent = 335.3147742298 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 354.60945 +/- 1.8994 deg
  Dec       = +20.71478 +/- 0.5076 deg
  Azimuth   = 145.71886 +/- 3.0854 deg
  Elevation = +56.72116 +/- 0.6604 deg
  Vavg      =  25.35012 +/- 0.4956 km/s
  Vinit     =  26.08475 +/- 0.6871 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 355.27615 +/- 1.8994 deg
  Dec       = +20.63624 +/- 0.5076 deg
  Azimuth   = 144.73163 +/- 3.0854 deg
  Elevation = +56.40595 +/- 0.6604 deg
  Vavg      =  25.44505 +/- 0.4956 km/s
  Vinit     =  26.17968 +/- 0.6871 km/s
Radiant (geocentric, J2000):
  R.A.   = 355.03331 +/- 2.1030 deg
  Dec    = +19.02261 +/- 0.5192 deg
  Vg     =  23.60115 +/- 0.7651 km/s
  Vinf   =  26.08475 +/- 0.6871 km/s
  Zc     =  33.12491 +/- 0.7016 deg
  Zg     =  34.82828 +/- 0.8292 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =   3.31467 +/- 1.9738 deg
  Bg     = +19.36618 +/- 0.8625 deg
  Vh     =  39.25238 +/- 0.9918 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 312.86776 +/- 0.5255 deg
  Bh     = +11.50406 +/- 0.5655 deg
  Vh_x   = -26.16727 +/- 0.6844 km/s
  Vh_y   =  28.19113 +/- 0.7025 km/s
  Vh_z   =  -7.82839 +/- 0.5367 km/s
Orbit:
  La Sun = 186.679752 +/- 0.0000 deg
  a      =   3.845841 +/- 0.8730 AU
  e      =   0.835831 +/- 0.0487
  i      =  14.152524 +/- 0.7117 deg
  peri   = 259.151438 +/- 3.8730 deg
  node   = 186.685125 +/- 0.0003 deg
  Pi     =  85.836563 +/- 3.8732 deg
  q      =   0.631369 +/- 0.0177 AU
  f      = 280.842997 +/- 3.8732 deg
  M      = 354.542828 +/- 3.5366 deg
  Q      =   7.060312 +/- 1.7302 AU
  n      =   0.130683 +/- 0.0730 deg/day
  T      =   7.542018 +/- 2.4051 years
  Last perihelion JD = 2456774.409645 (2014-04-26 21:49:53.358859) +/- 880.3228 days
  Tj     =   2.268433 +/- 0.4254
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.518521e-03, +7.718785e-04, -4.403809e+01, -2.476511e-07, -3.295667e-03, +5.378207e-04
q   , +7.718785e-04, +3.220687e-04, -1.447022e+01, -6.542067e-08, -1.201522e-03, +1.398988e-04
Tp  , -4.403809e+01, -1.447022e+01, +8.141369e+05, +4.161156e-03, +5.946648e+01, -9.094932e+00
node, -2.476511e-07, -6.542067e-08, +4.161156e-03, +3.544015e-11, +3.018318e-07, -7.711001e-08
peri, -3.295667e-03, -1.201522e-03, +5.946648e+01, +3.018318e-07, +4.745154e-03, -6.498681e-04
i   , +5.378207e-04, +1.398988e-04, -9.094932e+00, -7.711001e-08, -6.498681e-04, +1.685941e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 16.767342
 a2 = 8.032706

Mean time residuals from time vs. length:
  Station with reference time: UK000T
  Avg. res. = 1.396e-05 s
  Stddev    = 3.74e-03 s

Begin point on the trajectory:
  Lon =    -4.768405 +/- 0.0020 deg
  Lat =    50.306217 +/- 0.0013 deg
  Ht  = 94647.69 +/- 171.87 m
End point on the trajectory:
  Lon =    -4.815411 +/- 0.0014 deg
  Lat =    50.348715 +/- 0.0008 deg
  Ht  = 85813.42 +/- 84.32 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
    UK000T,   False,    -3.557111,    51.483925,   37.50,  15.160574,   8.382257,    94647.69,    86068.49,          0.031968,     99.95,      8.20,              52.53, 1.0000,    True,    True, {"ff_name": "FF_UK000T_20210929_220445_214_0322304.fits"}
    UK0021,   False,    -3.515726,    50.691998,   17.00,   6.965139,  10.649787,    92573.97,    85813.42,          0.039385,     82.98,     38.30,              59.68, 1.0000,    True,    True, {"ff_name": "FF_UK0021_20210929_220446_695_0323584.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,     UK000T,       0,  0.000000, 2459487.420004736166, 307.99797,  -3.04711,              213.53633,  30.31512,       213.51319,       30.29826,    307.99797,      -3.04711,     308.01094,       -3.06982,  3763682.58, -1729881.60,  4957482.36,      50.306217,       -4.768405,   94647.69,  183682.36,       0.00,              127.31,   132.00,      0.00,           27475.33,     -6.90,    -83.52,          94.11,  +5.05,  +3.73
  1,     UK000T,       0,  0.040252, 2459487.420005201828, 307.78141,  -3.23727,              213.69515,  30.06199,       213.72496,       30.08367,    307.78141,      -3.23727,     307.76485,       -3.20801,  3762621.44, -1729781.47,  4957079.29,      50.310794,       -4.773446,   93695.05,  182980.41,    1139.52,             1012.21,   -33.06,  28309.73,           27475.33,      8.99,    107.22,         121.29,  +5.37,  +4.06
  2,     UK000T,       0,  0.080424, 2459487.420005667023, 307.49905,  -3.36804,              213.94785,  29.84149,       213.95625,       29.84758,    307.49905,      -3.36804,     307.49467,       -3.35979,  3761464.76, -1729672.32,  4956639.93,      50.315785,       -4.778928,   92656.68,  182219.83,    2381.64,             2254.33,   161.19,  30920.09,           27475.33,      2.51,     30.11,          34.20,  +3.78,  +2.48
  3,     UK000T,       0,  0.120528, 2459487.420006131288, 307.28870,  -3.44930,              214.14182,  29.69201,       214.12234,       29.67788,    307.28870,      -3.44930,     307.30013,       -3.46846,  3760641.91, -1729594.68,  4956327.38,      50.319336,       -4.782878,   91918.03,  181683.65,    3265.27,             3137.96,    -1.29,  22033.31,           27475.33,     -5.76,    -69.66,          79.36,  +3.19,  +1.89
  4,     UK000T,       0,  0.160676, 2459487.420006596018, 307.06901,  -3.56177,              214.33256,  29.50973,       214.30519,       29.48989,    307.06901,      -3.56177,     307.08503,       -3.58872,  3759736.64, -1729509.25,  4955983.51,      50.323243,       -4.787208,   91105.41,  181096.36,    4237.41,             4110.10,   -76.40,  24213.97,           26394.90,     -8.05,    -97.65,         111.60,  +2.57,  +1.28
  5,     UK000T,       0,  0.200900, 2459487.420007061213, 306.83442,  -3.73076,              214.51557,  29.26901,       214.51726,       29.27023,    306.83442,      -3.73076,     306.83431,       -3.72910,  3758686.92, -1729410.20,  4955584.79,      50.327775,       -4.792205,   90163.18,  180418.67,    5364.67,             5237.36,     1.62,  28024.49,           26319.06,      0.50,      6.01,           6.90,  +2.48,  +1.20
  6,     UK000T,       0,  0.240984, 2459487.420007525478, 306.63354,  -3.79581,              214.70387,  29.13714,       214.66964,       29.11239,    306.63354,      -3.79581,     306.65376,       -3.82957,  3757939.88, -1729339.71,  4955301.03,      50.331001,       -4.795810,   89492.64,  179940.80,    6166.89,             6039.58,  -241.74,  20013.42,           25617.88,     -9.99,   -121.51,         139.75,  +2.01,  +0.73
  7,     UK000T,       0,  0.281196, 2459487.420007990673, 306.38154,  -3.95573,              214.90737,  28.89813,       214.88783,       28.88403,    306.38154,      -3.95573,     306.39368,       -3.97501,  3756865.25, -1729238.30,  4954892.84,      50.335643,       -4.800925,   88528.12,  179254.95,    7320.89,             7193.58,  -136.65,  28698.12,           25582.54,     -5.70,    -69.12,          79.81,  +2.45,  +1.18
  8,     UK000T,       0,  0.321356, 2459487.420008455403, 306.17416,  -4.07749,              215.07805,  28.71039,       215.06341,       28.69983,    306.17416,      -4.07749,     306.18373,       -4.09195,  3756006.59, -1729157.28,  4954566.68,      50.339353,       -4.805048,   87757.46,  178711.60,    8242.98,             8115.67,  -262.13,  22960.28,           25391.24,     -4.27,    -51.67,          59.84,  +2.37,  +1.11
  9,     UK000T,       0,  0.361432, 2459487.420008919202, 305.94719,  -4.13698,              215.29436,  28.57343,       215.22853,       28.52599,    305.94719,      -4.13698,     305.98563,       -4.20208,  3755202.18, -1729081.37,  4954261.13,      50.342829,       -4.808922,   87035.50,  178205.79,    9106.80,             8979.49,  -443.68,  21554.59,           25085.09,    -18.88,   -231.87,         269.27,  +4.34,  +3.09
 10,     UK000T,       0,  0.401712, 2459487.420009385794, 305.71607,  -4.34747,              215.45220,  28.29385,       215.44909,       28.29162,    305.71607,      -4.34747,     305.71950,       -4.35055,  3754124.64, -1728979.70,  4953851.84,      50.347486,       -4.814058,   86068.49,  177530.65,   10263.93,            10136.62,  -337.24,  28727.20,           25084.07,     -0.90,    -10.91,          12.72,  +3.72,  +2.47
  0,     UK0021,       0,  0.090293, 2459487.420005780645, 291.26408,  19.18787,              245.51271,  42.46313,       245.48690,       42.44761,    291.26408,     +19.18787,     291.27040,      +19.16395,  3761372.62, -1729663.63,  4956604.93,      50.316182,       -4.779392,   92573.97,  135988.91,       0.00,             2353.28,     2.69,      0.00,           25056.12,     24.40,    -52.96,          88.44,  +4.56,  +3.89
  1,     UK0021,       0,  0.170725, 2459487.420006711502, 290.41455,  19.01249,              246.22446,  41.83327,       246.18258,       41.80824,    290.41455,     +19.01249,     290.42512,      +18.97358,  3759295.05, -1729467.58,  4955815.78,      50.325150,       -4.789281,   90709.05,  134875.11,    2231.03,             4584.30,   135.67,  27738.07,           25056.12,     39.43,    -85.53,         144.03,  +2.74,  +2.09
  2,     UK0021,       0,  0.210917, 2459487.420007176697, 290.07607,  18.92012,              246.48707,  41.56391,       246.46039,       41.54801,    290.07607,     +18.92012,     290.08329,      +18.89531,  3758464.89, -1729389.25,  4955500.45,      50.328734,       -4.793268,   89963.89,  134439.50,    3122.51,             5475.78,   -21.25,  22180.50,           25056.12,     25.05,    -54.39,          91.88,  +2.44,  +1.80
  3,     UK0021,       0,  0.251109, 2459487.420007641893, 289.73409,  18.82794,              246.75199,  41.29233,       246.73875,       41.28446,    289.73409,     +18.82794,     289.73831,      +18.81562,  3757631.67, -1729310.62,  4955183.96,      50.332333,       -4.797271,   89216.01,  134006.83,    4017.27,             6370.55,  -174.88,  22262.30,           25056.12,     12.41,    -26.95,          45.66,  +2.22,  +1.58
  4,     UK0021,       0,  0.291313, 2459487.420008107554, 289.31254,  18.75590,              247.11068,  40.98988,       247.07096,       40.96634,    289.31254,     +18.75590,     289.32339,      +18.71888,  3756633.77, -1729216.46,  4954804.91,      50.336643,       -4.802034,   88320.37,  133493.14,    5088.88,             7442.16,  -151.98,  26654.29,           24968.04,     37.17,    -80.66,         137.23,  +1.81,  +1.18
  5,     UK0021,       0,  0.331509, 2459487.420008572750, 289.00032,  18.64247,              247.32603,  40.71822,       247.32667,       40.71860,    289.00032,     +18.64247,     289.00155,      +18.64307,  3755866.20, -1729144.03,  4954513.35,      50.339959,       -4.805737,   87631.45,  133104.46,    5913.15,             8266.43,  -376.22,  20506.24,           24426.18,     -0.60,      1.30,           2.21,  +2.43,  +1.81
  6,     UK0021,       0,  0.371709, 2459487.420009037945, 288.63254,  18.55044,              247.61224,  40.43062,       247.61765,       40.43381,    288.63254,     +18.55044,     288.63276,      +18.55549,  3754990.03, -1729061.36,  4954180.55,      50.343746,       -4.809943,   86845.09,  132664.53,    6854.04,             9207.32,  -483.93,  23405.24,           24108.15,     -5.04,     10.95,          18.74,  +4.63,  +4.02
  7,     UK0021,       0,  0.411909, 2459487.420009503141, 288.12219,  18.52521,              248.08994,  40.11136,       247.99775,       40.05716,    288.12219,     +18.52521,     288.14689,      +18.43898,  3753840.42, -1728952.88,  4953743.87,      50.348715,       -4.815411,   85813.42,  132092.71,    8088.57,            10441.84,  -298.02,  30709.58,           24440.84,     85.99,   -186.17,         320.22,  +4.27,  +3.67
  8,     UK0021,       1,  0.452009, 2459487.420009967405, 287.96628,  18.46850,              248.19555,  39.97519,       248.12233,       39.93220,    287.96628,     +18.46850,     287.98650,      +18.39997,  3753468.46, -1728917.78,  4953602.59,      50.350323,       -4.817294,   85479.52,  131915.28,    8488.00,            10841.28,  -944.58,   9960.90,           23746.10,     68.21,   -147.80,         254.52,  +6.02,  +5.42

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.