Orbital Analysis for matched events on 20210904_022613.692_UK

Summary for Event
-----------------
shower ID 552 PSO
Lg 71.63° Bg -25.22° Vg 66.59km/s
mass 0.01240g, abs. mag 0.5
Path Details
------------
start 0.11° 50.61° 113.18km
end   -0.22° 50.74° 103.07km

Orbit Details
-------------
Semimajor axis 78.35A.U., eccentricity 0.99, inclination 137.26°, Period 693.52Y, LA Sun 161.50°, last Perihelion 1328-02-16

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: 2459461.601547371596
Time: 2021-09-04 02:26:13.692906 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002B and UK002N
 Convergence angle = 47.65760 deg
 R.A. =  73.65075  Dec =  -2.37781 deg

Best intersection: Stations UK002B and UK002N with Qconv = 47.66 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3876151.94 +/- 50.14 m
 Y =   1418532.26 +/- 81.05 m
 Z =   4993611.37 +/- 23.89 m
 Vx =    19285.09 +/- 291.69 m/s
 Vy =    64638.03 +/- 661.59 m/s
 Vz =    -2758.99 +/- 101.35 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.326116e+02, +1.301532e+03, -1.984493e+02, +2.643665e+03, +4.958079e+03, -1.134565e+03
+1.301532e+03, +5.252918e+03, -1.447840e+02, +9.673017e+03, +3.382648e+04, -6.269661e+02
-1.984493e+02, -1.447840e+02, +5.603043e+02, -1.532374e+03, -1.928511e+03, +2.622013e+03
+2.643665e+03, +9.673017e+03, -1.532374e+03, +4.145402e+04, +1.214841e+05, -1.843468e+03
+4.958079e+03, +3.382648e+04, -1.928511e+03, +1.214841e+05, +4.002241e+05, +4.683990e+03
-1.134565e+03, -6.269661e+02, +2.622013e+03, -1.843468e+03, +4.683990e+03, +1.621504e+04

Timing offsets (from input data):
    UK002B: 0.000000 s
    UK002N: 0.000452 s

Reference point on the trajectory:
  Time: 2021-09-04 02:26:13.692906 UTC
  Lon     = ++0.109371 +/- 0.0009 deg
  Lat     = +50.609488 +/- 0.0004 deg
  Lat geo = +50.423920 +/- 0.0004 deg
  Ht      =  113200.93 +/- 54.75 m

  JD dynamic   = 2459461.602348112501 
  LST apparent = 20.1008092393 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  73.38725 +/- 0.0910 deg
  Dec       =  -2.34221 +/- 0.1090 deg
  Azimuth   = 121.32972 +/- 0.0851 deg
  Elevation = +20.33287 +/- 0.1177 deg
  Vavg      =  65.65628 +/- 0.1746 km/s
  Vinit     =  67.51001 +/- 0.6601 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  73.53954 +/- 0.0910 deg
  Dec       =  -2.33386 +/- 0.1090 deg
  Azimuth   = 121.18865 +/- 0.0851 deg
  Elevation = +20.25726 +/- 0.1177 deg
  Vavg      =  65.89760 +/- 0.1746 km/s
  Vinit     =  67.75133 +/- 0.6601 km/s
Radiant (geocentric, J2000):
  R.A.   =  73.41240 +/- 0.0942 deg
  Dec    =  -2.83299 +/- 0.1147 deg
  Vg     =  66.59245 +/- 0.6694 km/s
  Vinf   =  67.51001 +/- 0.6601 km/s
  Zc     =  69.57073 +/- 0.1177 deg
  Zg     =  70.11536 +/- 0.1252 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  71.62877 +/- 0.0982 deg
  Bg     = -25.21904 +/- 0.1188 deg
  Vh     =  41.80749 +/- 0.6147 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  70.97734 +/- 0.1861 deg
  Bh     = -42.73671 +/- 0.4176 deg
  Vh_x   = -10.00863 +/- 0.2573 km/s
  Vh_y   = -29.02986 +/- 0.5957 km/s
  Vh_z   =  28.37184 +/- 0.2384 km/s
Orbit:
  La Sun = 161.495816 +/- -0.0000 deg
  a      =  78.350216 +/- 526.2737 AU
  e      =   0.987128 +/- 0.0571
  i      = 137.262102 +/- 0.4171 deg
  peri   =   0.769239 +/- 0.2684 deg
  node   = 341.499696 +/- 0.0000 deg
  Pi     = 342.268935 +/- 0.2684 deg
  q      =   1.008520 +/- 0.0000 AU
  f      = 359.233805 +/- 0.2684 deg
  M      = 359.999206 +/- nan deg
  Q      = 155.691911 +/- 1052.5473 AU
  n      =   0.001421 +/- 0.0242 deg/day
  T      = 693.523099 +/- 471399533.1031 years
  Last perihelion JD = 2206148.436208 (1328-02-16 22:28:08.358159) +/- 244606.4078 days
  Tj     =  -0.845119 +/- 0.3138
Shower association:
  IAU No.  =  552
  IAU code =  PSO

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.347511e-03, +3.616725e-08, -7.537992e+03, +2.638141e-08, -2.626429e-05, +3.434311e-04
q   , +3.616725e-08, +6.584062e-10, +4.392582e+00, +3.288191e-12, -8.746106e-08, +4.219744e-08
Tp  , -7.537992e+03, +4.392582e+00, +6.508991e+10, -5.344293e-02, -5.167252e+02, -6.942708e+02
node, +2.638141e-08, +3.288191e-12, -5.344293e-02, +2.692421e-13, -6.446585e-10, +3.488759e-09
peri, -2.626429e-05, -8.746106e-08, -5.167252e+02, -6.446585e-10, +1.192581e-05, -8.302310e-06
i   , +3.434311e-04, +4.219744e-08, -6.942708e+02, +3.488759e-09, -8.302310e-06, +4.521012e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 17.196995
 a2 = 8.518856

Mean time residuals from time vs. length:
  Station with reference time: UK002B
  Avg. res. = 1.168e-05 s
  Stddev    = 3.42e-03 s

Begin point on the trajectory:
  Lon =     0.108814 +/- 0.0004 deg
  Lat =    50.609704 +/- 0.0002 deg
  Ht  = 113183.52 +/- 46.53 m
End point on the trajectory:
  Lon =    -0.219917 +/- 0.0003 deg
  Lat =    50.735494 +/- 0.0002 deg
  Ht  = 103069.63 +/- 46.28 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
    UK002B,   False,    -1.367130,    50.815550,   22.00,  13.357554,   9.915201,   113183.52,   104173.03,          0.015000,     30.64,     22.92,              30.43, 1.0000,    True,    True, {"ff_name": "FF_UK002B_20210904_022607_676_0639488.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   9.531122,   9.644458,   112955.60,   103069.63,          0.015156,     34.14,      5.87,              34.17, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210904_022614_694_0641792.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,     UK002B,       0,  0.000000, 2459461.601547371596,  68.95728,  27.84396,              101.81598,  45.94251,       101.81761,       45.94333,     68.95728,     +27.84396,      68.95564,      +27.84375,  3876137.63,  1418484.28,  4993613.42,      50.609704,       +0.108814,  113183.52,  156199.05,       0.00,               50.11,    -0.98,      0.00,           67333.74,     -2.28,     -3.05,           5.03,  +5.26,  +4.29
  1,     UK002B,       0,  0.079508, 2459461.601548292208,  68.74736,  28.89667,              100.93183,  46.82020,       100.91457,       46.81154,     68.74736,     +28.89667,      68.76415,      +28.89893,  3874553.48,  1413174.69,  4993840.05,      50.633575,       +0.046774,  111258.63,  151430.54,    5545.51,             5595.62,   176.95,  69747.83,           67333.74,     23.21,     30.99,          52.74,  +2.15,  +1.25
  2,     UK002B,       0,  0.119272, 2459461.601548752282,  68.63407,  29.38720,              100.52247,  47.23559,       100.48236,       47.21542,     68.63407,     +29.38720,      68.67291,      +29.39248,  3873845.27,  1410800.96,  4993941.37,      50.644242,       +0.018989,  110399.40,  149315.69,    8024.71,             8074.81,   -28.32,  62347.80,           67333.74,     52.89,     70.73,         122.00,  +2.00,  +1.13
  3,     UK002B,       0,  0.159036, 2459461.601549212355,  68.55349,  29.94666,              100.00279,  47.67653,        99.98694,       47.66851,     68.55349,     +29.94666,      68.56929,      +29.94874,  3873070.00,  1408202.49,  4994052.28,      50.655914,       -0.011434,  109459.77,  147014.76,   10738.63,            10788.74,     1.14,  68250.79,           67333.74,     20.53,     27.42,          48.05,  +1.74,  +0.90
  4,     UK002B,       0,  0.198800, 2459461.601549672894,  68.47060,  30.49802,               99.48424,  48.11040,        99.48999,       48.11333,     68.47060,     +30.49802,      68.46581,      +30.49726,  3872328.50,  1405717.18,  4994158.36,      50.667073,       -0.040562,  108561.97,  144827.40,   13334.37,            13384.48,   -87.59,  65278.62,           66939.24,     -7.32,     -9.76,          17.38,  +1.66,  +0.86
  5,     UK002B,       0,  0.238544, 2459461.601550132502,  68.34918,  31.04076,               98.99964,  48.55948,        98.98760,       48.55333,     68.34918,     +31.04076,      68.36170,      +31.04235,  3871613.08,  1403319.33,  4994260.71,      50.677836,       -0.068691,  107696.61,  142730.05,   15838.76,            15888.87,  -266.32,  63012.99,           66347.28,     15.04,     20.09,          36.26,  +1.12,  +0.35
  6,     UK002B,       0,  0.278276, 2459461.601550592575,  68.23603,  31.64238,               98.43183,  49.04053,        98.42296,       49.03597,     68.23603,     +31.64238,      68.24568,      +31.64356,  3870847.30,  1400752.65,  4994370.27,      50.689352,       -0.098811,  106771.26,  140500.69,   18519.49,            18569.59,  -267.91,  67470.18,           66201.59,     10.86,     14.50,          26.60,  +2.52,  +1.78
  7,     UK002B,       0,  0.318012, 2459461.601551052649,  68.10861,  32.20943,               97.90346,  49.50356,        97.87835,       49.49060,     68.10861,     +32.20943,      68.13416,      +32.21277,  3870143.99,  1398395.35,  4994470.89,      50.699925,       -0.126508,  105922.23,  138467.00,   20981.52,            21031.63,  -488.45,  61959.84,           65826.07,     30.15,     40.32,          75.00,  +3.37,  +2.66
  8,     UK002B,       0,  0.357708, 2459461.601551511791,  67.99181,  32.92626,               97.18035,  50.05630,        97.18049,       50.05637,     67.99181,     +32.92626,      67.99309,      +32.92624,  3869289.89,  1395532.66,  4994593.08,      50.712759,       -0.160133,  104892.29,  136018.42,   23971.40,            24021.51,  -178.44,  75319.43,           66203.11,     -0.17,     -0.22,           0.42,  +3.26,  +2.59
  9,     UK002B,       0,  0.397488, 2459461.601551972330,  67.89870,  33.44244,               96.65597,  50.45645,        96.66770,       50.46259,     67.89870,     +33.44244,      67.88884,      +33.44088,  3868692.88,  1393531.65,  4994678.49,      50.721727,       -0.183705,  104173.03,  134317.85,   26061.32,            26111.43,  -774.07,  52536.91,           65724.77,    -13.59,    -18.15,          34.82,  +3.62,  +2.98
  0,     UK002N,       0,  0.009660, 2459461.601547597907,  44.37175,  16.48068,              140.84997,  49.87385,       140.83879,       49.87890,     44.37175,     +16.48068,      44.37642,      +16.48825,  3875950.23,  1417856.19,  4993640.23,      50.612528,       +0.101438,  112955.60,  146738.95,       0.00,              706.11,     2.89,      0.00,           66503.96,     -3.80,     22.21,          31.67,  +3.19,  +2.36
  1,     UK002N,       0,  0.049276, 2459461.601548056584,  43.82977,  16.77587,              141.39999,  50.35596,       141.37818,       50.36587,     43.82977,     +16.77587,      43.83899,      +16.79059,  3875191.19,  1415312.09,  4993748.82,      50.623968,       +0.071712,  112033.01,  144546.59,    2657.13,             3363.25,   -14.45,  67072.27,           66503.96,     -7.28,     42.48,          61.50,  +2.19,  +1.39
  2,     UK002N,       0,  0.088844, 2459461.601548514329,  43.24563,  17.11492,              141.98843,  50.89246,       141.98100,       50.89585,     43.24563,     +17.11492,      43.24902,      +17.11991,  3874385.82,  1412612.72,  4993864.04,      50.636101,       +0.040157,  111055.14,  142238.40,    5476.45,             6182.56,   133.62,  71252.28,           66503.96,     -2.42,     14.14,          20.81,  +1.88,  +1.11
  3,     UK002N,       0,  0.128476, 2459461.601548973005,  42.73704,  17.40334,              142.51291,  51.35150,       142.51355,       51.35120,     42.73704,     +17.40334,      42.73728,      +17.40292,  3873710.87,  1410350.49,  4993960.60,      50.646265,       +0.013666,  110236.44,  140317.95,    7839.19,             8545.30,  -179.19,  59617.01,           66503.96,      0.20,     -1.20,           1.78,  +1.42,  +0.68
  4,     UK002N,       0,  0.168004, 2459461.601549430750,  42.06147,  17.76470,              143.23510,  51.93844,       143.22520,       51.94302,     42.06147,     +17.76470,      42.06614,      +17.77132,  3872854.14,  1407478.98,  4994083.16,      50.659163,       -0.019942,  109198.32,  137901.67,   10838.28,            11544.39,   151.36,  75872.61,           67843.23,     -3.10,     18.11,          27.49,  +1.31,  +0.61
  5,     UK002N,       0,  0.207588, 2459461.601549888961,  41.46176,  18.08554,              143.88760,  52.45668,       143.87224,       52.46383,     41.46176,     +18.08554,      41.46874,      +18.09577,  3872119.52,  1405016.76,  4994188.26,      50.670217,       -0.048806,  108309.12,  135848.02,   13409.90,            14116.01,    50.67,  64966.18,           67815.29,     -4.72,     27.53,          42.41,  +1.36,  +0.69
  6,     UK002N,       0,  0.247188, 2459461.601550347172,  40.90536,  18.40311,              144.49026,  52.95342,       144.49579,       52.95083,     40.90536,     +18.40311,      40.90415,      +18.39944,  3871447.87,  1402765.56,  4994284.35,      50.680321,       -0.075229,  107496.88,  133985.97,   15761.13,            16467.24,  -271.50,  59374.37,           66900.57,      1.66,     -9.73,          15.19,  +1.62,  +0.98
  7,     UK002N,       0,  0.286756, 2459461.601550804917,  40.25460,  18.72840,              145.23695,  53.48868,       145.21786,       53.49772,     40.25460,     +18.72840,      40.26328,      +18.74105,  3870709.49,  1400290.75,  4994389.98,      50.691424,       -0.104280,  106604.83,  131957.76,   18345.90,            19052.01,  -357.96,  65324.90,           66388.21,     -5.65,     32.95,          52.26,  +1.63,  +1.03
  8,     UK002N,       0,  0.326200, 2459461.601551261730,  39.46561,  19.16046,              146.13713,  54.16789,       146.13652,       54.16818,     39.46561,     +19.16046,      39.46717,      +19.16086,  3869825.49,  1397327.82,  4994516.45,      50.704711,       -0.139058,  105538.04,  129556.84,   21440.47,            22146.58,    73.74,  78454.80,           66950.49,     -0.18,      1.03,           1.67,  +2.51,  +1.95
  9,     UK002N,       0,  0.365872, 2459461.601551720873,  38.92936,  19.39677,              146.79715,  54.57315,       146.74718,       54.59725,     38.92936,     +19.39677,      38.95016,      +19.42975,  3869272.69,  1395475.02,  4994595.54,      50.713018,       -0.160883,  104871.54,  128069.40,   23375.61,            24081.72,  -669.38,  48778.30,           66243.37,    -14.29,     82.99,         135.62,  +3.05,  +2.51
 10,     UK002N,       0,  0.405268, 2459461.601552176755,  38.09538,  19.88346,              147.76911,  55.30945,       147.78536,       55.30153,     38.09538,     +19.88346,      38.09082,      +19.87278,  3868381.80,  1392489.01,  4994722.99,      50.726399,       -0.195980,  103798.54,  125700.71,   26494.28,            27200.39,  -210.33,  79162.22,           66442.18,      4.50,    -26.32,          43.82,  +2.38,  +1.88
 11,     UK002N,       0,  0.444884, 2459461.601552635431,  37.47181,  20.16466,              148.56406,  55.77854,       148.53866,       55.79105,     37.47181,     +20.16466,      37.48326,      +20.18136,  3867776.02,  1390458.61,  4994809.66,      50.735494,       -0.219917,  103069.63,  124108.12,   28614.90,            29321.01,  -764.19,  53529.26,           66059.78,     -6.96,     40.53,          68.35,  +4.26,  +3.79

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.