Orbital Analysis for matched events on 20210929_003320.558_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 88.88° Bg 14.77° Vg 69.21km/s
mass 0.06491g, abs. mag -1.6
Path Details
------------
start 2.98° 52.21° 110.10km
end   2.71° 52.18° 93.27km

Orbit Details
-------------
Semimajor axis 22.88A.U., eccentricity 0.96, inclination 154.32°, Period 109.43Y, LA Sun 185.80°, last Perihelion 1912-05-10

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: 2459486.523154614493
Time: 2021-09-29 00:33:20.598805 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000Z and UK002C
 Convergence angle = 65.63686 deg
 R.A. =  88.46336  Dec = +37.81126 deg

Best intersection: Stations UK000Z and UK002C with Qconv = 65.64 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3759506.94 +/- 60.94 m
 Y =   1320637.96 +/- 289.27 m
 Z =   5106771.70 +/- 66.67 m
 Vx =     1273.94 +/- 252.25 m/s
 Vy =    54905.29 +/- 956.08 m/s
 Vz =    43557.00 +/- 939.15 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.763126e+03, +3.954455e+03, +1.057684e+02, +2.154398e+04, -4.666802e+03, -7.854031e+03
+3.954455e+03, +3.243138e+04, +6.467980e+03, +7.419365e+03, +6.781557e+04, -2.546264e+04
+1.057684e+02, +6.467980e+03, +6.544213e+03, +1.549397e+03, -4.530567e+02, -2.200009e+03
+2.154398e+04, +7.419365e+03, +1.549397e+03, +9.407071e+04, -4.227906e+04, -1.784742e+04
-4.666802e+03, +6.781557e+04, -4.530567e+02, -4.227906e+04, +2.293193e+05, -5.123108e+04
-7.854031e+03, -2.546264e+04, -2.200009e+03, -1.784742e+04, -5.123108e+04, +3.062407e+04

Timing offsets (from input data):
    UK000Z: 0.000000 s
    UK002C: 0.000784 s

Reference point on the trajectory:
  Time: 2021-09-29 00:33:20.598805 UTC
  Lon     = ++3.021476 +/- 0.0038 deg
  Lat     = +52.219013 +/- 0.0008 deg
  Lat geo = +52.035753 +/- 0.0008 deg
  Ht      =  112565.44 +/- 111.45 m

  JD dynamic   = 2459486.523955819663 
  LST apparent = 19.3553329802 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  88.67084 +/- 0.2456 deg
  Dec       = +38.41787 +/- 0.4960 deg
  Azimuth   =  77.54019 +/- 0.5651 deg
  Elevation = +41.35109 +/- 0.3236 deg
  Vavg      =  69.92385 +/- 0.7968 km/s
  Vinit     =  70.09584 +/- 0.7439 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  88.77739 +/- 0.2456 deg
  Dec       = +38.28016 +/- 0.4960 deg
  Azimuth   =  77.60809 +/- 0.5651 deg
  Elevation = +41.19832 +/- 0.3236 deg
  Vavg      =  70.13712 +/- 0.7968 km/s
  Vinit     =  70.30910 +/- 0.7439 km/s
Radiant (geocentric, J2000):
  R.A.   =  88.61759 +/- 0.2469 deg
  Dec    = +38.20362 +/- 0.4950 deg
  Vg     =  69.21240 +/- 0.7532 km/s
  Vinf   =  70.09584 +/- 0.7439 km/s
  Zc     =  48.68869 +/- 0.3223 deg
  Zg     =  49.01748 +/- 0.3189 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  88.87658 +/- 0.2027 deg
  Bg     = +14.77132 +/- 0.4943 deg
  Vh     =  41.61971 +/- 0.6479 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  82.69104 +/- 0.3657 deg
  Bh     = +25.09049 +/- 0.9697 deg
  Vh_x   =  -4.79522 +/- 0.2430 km/s
  Vh_y   = -37.38617 +/- 0.8647 km/s
  Vh_z   = -17.64880 +/- 0.4217 km/s
Orbit:
  La Sun = 185.798880 +/- 0.0000 deg
  a      =  22.878341 +/- 44.3439 AU
  e      =   0.958098 +/- 0.0585
  i      = 154.323798 +/- 0.9950 deg
  peri   = 204.231017 +/- 1.0183 deg
  node   = 185.797847 +/- 0.0001 deg
  Pi     =  30.028864 +/- 1.0183 deg
  q      =   0.958656 +/- 0.0029 AU
  f      = 335.766637 +/- 1.0182 deg
  M      = 359.846987 +/- nan deg
  Q      =  44.798026 +/- 88.6881 AU
  n      =   0.009007 +/- 0.0106 deg/day
  T      = 109.430259 +/- 498887618.2854 years
  Last perihelion JD = 2419533.414332 (1912-05-10 21:56:38.295106) +/- 9670.3136 days
  Tj     =  -0.855073 +/- 0.3446
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +4.371026e-04, +4.113134e-05, -2.177185e+02, -1.757931e-08, -2.527806e-04, +1.966016e-04
q   , +4.113134e-05, +1.269989e-05, -2.926216e+01, -1.073027e-09, -6.549552e-05, +1.192270e-05
Tp  , -2.177185e+02, -2.926216e+01, +1.176957e+08, +8.084894e-03, +1.673122e+02, -9.032167e+01
node, -1.757931e-08, -1.073027e-09, +8.084894e-03, +9.700773e-13, +7.491437e-09, -1.081258e-08
peri, -2.527806e-04, -6.549552e-05, +1.673122e+02, +7.491437e-09, +3.432557e-04, -8.339419e-05
i   , +1.966016e-04, +1.192270e-05, -9.032167e+01, -1.081258e-08, -8.339419e-05, +1.205340e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 15.462640
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK000Z
  Avg. res. = 1.208e-05 s
  Stddev    = 3.48e-03 s

Begin point on the trajectory:
  Lon =     2.982113 +/- 0.0032 deg
  Lat =    52.213664 +/- 0.0006 deg
  Ht  = 110099.20 +/- 81.43 m
End point on the trajectory:
  Lon =     2.710988 +/- 0.0025 deg
  Lat =    52.176637 +/- 0.0007 deg
  Ht  = 93271.93 +/- 48.77 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
    UK000Z,   False,    -1.740490,    53.069201,  230.00,  57.891540,   0.000000,   110099.20,    93534.39,          0.019813,     29.63,    116.42,              33.32, 1.0000,    True,    True, {"ff_name": "FF_UK000Z_20210929_003311_754_0552192.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,  18.685580,   0.000000,   108151.58,    93271.93,          0.020385,    123.31,     28.99,              22.24, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_003311_007_0552960.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,     UK000Z,       1,  0.000000, 2459486.523154614493,  83.10915,   5.02893,              104.45629,  16.81508,       104.46478,       16.82281,     83.10915,      +5.02893,      83.09767,       +5.03046,  3759504.39,  1320528.00,  5106684.46,      52.218813,       +3.020164,  112472.69,  356797.89,       0.00,              140.39,  -785.67,      0.00,           76557.81,    -67.68,     17.29,          40.38,  +4.74,  +1.98
  1,     UK000Z,       0,  0.040112, 2459486.523155078758,  83.00769,   4.71644,              104.73242,  16.62031,       104.69817,       16.58906,     83.00769,      +4.71644,      83.05257,       +4.71019,  3759439.08,  1317713.32,  5104451.54,      52.213664,       +2.982113,  110099.20,  353805.98,    3593.41,             3733.80,    -3.95,  89584.40,           76557.81,    271.27,    -68.84,         163.16,  +3.00,  +0.26
  2,     UK000Z,       0,  0.080260, 2459486.523155543488,  83.00283,   4.45485,              104.89552,  16.41055,       104.88532,       16.40127,     83.00283,      +4.45485,      83.01624,       +4.45300,  3759387.42,  1315486.74,  5102685.17,      52.209581,       +2.951964,  108222.40,  351445.12,    6436.01,             6576.40,    24.45,  70803.07,           76557.81,     80.15,    -20.41,          48.54,  +2.44,  -0.29
  3,     UK000Z,       0,  0.120392, 2459486.523156007752,  82.97328,   4.19171,              105.08007,  16.21373,       105.07566,       16.20972,     82.97328,      +4.19171,      82.97925,       +4.19091,  3759335.48,  1313248.07,  5100909.21,      52.205464,       +2.921640,  106336.09,  349078.87,    9294.06,             9434.44,    69.41,  71216.11,           76557.81,     34.43,     -8.78,          21.00,  +1.90,  -0.81
  4,     UK000Z,       0,  0.160516, 2459486.523156472016,  82.95356,   3.94585,              105.24552,  16.02513,       105.25246,       16.03143,     82.95356,      +3.94585,      82.94480,       +3.94710,  3759287.78,  1311192.31,  5099278.35,      52.201676,       +2.893769,  104604.52,  346911.76,   11918.57,            12058.96,  -118.60,  65410.10,           73602.79,    -53.78,     13.73,          33.00,  +1.41,  -1.29
  5,     UK000Z,       0,  0.200648, 2459486.523156936746,  82.92521,   3.68621,              105.42627,  15.83019,       105.43952,       15.84221,     82.92521,      +3.68621,      82.90834,       +3.68860,  3759237.85,  1309040.36,  5097571.18,      52.197701,       +2.864592,  102792.55,  344650.66,   14665.90,            14806.29,  -184.36,  68457.43,           72023.36,   -102.10,     26.09,          63.07,  +1.30,  -1.39
  6,     UK000Z,       0,  0.240772, 2459486.523157401010,  82.87343,   3.40782,              105.63777,  15.63339,       105.64174,       15.63699,     82.87343,      +3.40782,      82.86890,       +3.40853,  3759184.49,  1306740.39,  5095746.59,      52.193442,       +2.833407,  100856.67,  342242.79,   17602.20,            17742.58,   -60.59,  73180.45,           71583.22,    -30.37,      7.75,          18.89,  +1.08,  -1.59
  7,     UK000Z,       0,  0.280908, 2459486.523157865740,  82.84405,   3.13428,              105.82705,  15.42741,       105.83798,       15.43731,     82.84405,      +3.13428,      82.83055,       +3.13625,  3759133.31,  1304534.84,  5093996.91,      52.189348,       +2.803483,   99000.95,  339941.26,   20417.95,            20558.34,   -58.20,  70155.34,           71280.81,    -83.14,     21.23,          52.06,  +0.90,  -1.76
  8,     UK000Z,       0,  0.321060, 2459486.523158330470,  82.80640,   2.82446,              106.04469,  15.19646,       106.06014,       15.21043,     82.80640,      +2.82446,      82.78714,       +2.82724,  3759076.06,  1302067.50,  5092039.53,      52.184756,       +2.770014,   96925.77,  337377.19,   23567.93,            23708.32,   277.29,  78451.31,           71618.00,   -116.61,     29.80,          73.59,  +0.99,  -1.65
  9,     UK000Z,       0,  0.361188, 2459486.523158794735,  82.77144,   2.55943,              106.23282,  15.00032,       106.25017,       15.01601,     82.77144,      +2.55943,      82.74987,       +2.56255,  3759027.71,  1299983.33,  5090386.14,      52.180868,       +2.741706,   95173.51,  335217.61,   26228.72,            26369.11,   125.27,  66307.61,           71499.99,   -130.11,     33.25,          82.63,  +0.96,  -1.67
 10,     UK000Z,       0,  0.401296, 2459486.523159258999,  82.72222,   2.31053,              106.42303,  14.82545,       106.42994,       14.83168,     82.72222,      +2.31053,      82.71452,       +2.31178,  3758982.46,  1298033.10,  5088839.00,      52.177221,       +2.715196,   93534.39,  333202.82,   28718.52,            28858.91,  -196.33,  62077.33,           71007.61,    -51.48,     13.14,          32.89,  +1.48,  -1.13
  0,     UK002C,       0,  0.085112, 2459486.523155510426, 108.41309,  23.57079,               71.93970,  15.87630,        71.92284,       15.87731,    108.41309,     +23.57079,     108.42587,      +23.58207,  3759385.47,  1315402.71,  5102618.51,      52.209426,       +2.950844,  108151.58,  360914.29,       0.00,             6683.68,  -208.38,      0.00,           71628.28,     23.34,    -99.71,          58.53,  +2.67,  -0.12
  1,     UK002C,       0,  0.125276, 2459486.523155975156, 108.52878,  23.41096,               71.96322,  15.68580,        71.91002,       15.68891,    108.52878,     +23.41096,     108.56931,      +23.44648,  3759329.09,  1312972.70,  5100690.75,      52.204957,       +2.917941,  106104.12,  358037.75,    3102.31,             9786.00,    78.61,  77241.17,           71628.28,     73.57,   -312.10,         184.73,  +2.77,  +0.00
  2,     UK002C,       0,  0.165408, 2459486.523156439885, 108.69160,  23.31434,               71.90975,  15.51543,        71.89823,       15.51612,    108.69160,     +23.31434,     108.70067,      +23.32203,  3759278.15,  1310777.09,  5098948.95,      52.200909,       +2.888184,  104254.85,  355441.03,    5905.38,            12589.07,    68.59,  69846.27,           71628.28,     15.70,    -67.14,          40.01,  +1.77,  -0.98
  3,     UK002C,       0,  0.205544, 2459486.523156904150, 108.83500,  23.20235,               71.88050,  15.34484,        71.88653,       15.34447,    108.83500,     +23.20235,     108.83092,      +23.19831,  3759228.26,  1308627.16,  5097243.39,      52.196936,       +2.859032,  102444.72,  352901.33,    8650.13,            15333.81,    -0.03,  68386.06,           71628.28,     -8.14,     34.97,          20.98,  +1.50,  -1.24
  4,     UK002C,       0,  0.245696, 2459486.523157368880, 108.97904,  23.07026,               71.86400,  15.15845,        71.87387,       15.15785,    108.97904,     +23.07026,     108.97222,      +23.06366,  3759174.84,  1306324.82,  5095416.91,      52.192671,       +2.827813,  100506.97,  350185.91,   11589.45,            18273.13,   124.81,  73204.96,           71560.08,    -13.22,     56.81,          34.36,  +1.42,  -1.30
  5,     UK002C,       0,  0.285820, 2459486.523157833610, 109.06443,  22.95099,               71.88144,  15.01661,        71.86423,       15.01764,    109.06443,     +22.95099,     109.07835,      +22.96249,  3759135.20,  1304616.41,  5094061.61,      52.189499,       +2.804596,   99069.55,  348170.65,   13770.53,            20454.21,  -506.64,  54358.38,           69084.46,     23.05,    -98.53,          59.95,  +1.46,  -1.25
  6,     UK002C,       0,  0.325996, 2459486.523158298340, 109.25715,  22.81220,               71.83342,  14.79608,        71.84926,       14.79511,    109.25715,     +22.81220,     109.24612,      +22.80160,  3759073.31,  1301948.84,  5091945.40,      52.184535,       +2.768424,   96825.98,  345034.26,   17176.13,            23859.81,    82.79,  84767.02,           69881.90,    -20.92,     90.03,          55.25,  +1.05,  -1.64
  7,     UK002C,       0,  0.366168, 2459486.523158763535, 109.39273,  22.64863,               71.84325,  14.59040,        71.83550,       14.59087,    109.39273,     +22.64863,     109.39981,      +22.65382,  3759017.46,  1299541.83,  5090035.89,      52.180043,       +2.735754,   94802.40,  342207.72,   20249.08,            26932.76,   339.85,  76494.92,           70765.63,     10.21,    -43.75,          27.08,  +1.23,  -1.44
  8,     UK002C,       0,  0.406292, 2459486.523159227800, 109.52015,  22.54388,               71.81971,  14.43454,        71.82482,       14.43423,    109.52015,     +22.54388,     109.51760,      +22.54046,  3758975.21,  1297720.76,  5088591.21,      52.176637,       +2.710988,   93271.93,  340069.58,   22573.98,            29257.66,  -147.77,  57942.88,           70323.53,     -6.67,     28.67,          17.85,  +1.64,  -1.02

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.