Orbital Analysis for matched events on 20210929_191335.489_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 187.32° Bg 71.65° Vg 25.19km/s
mass 0.03244g, abs. mag 0.7
Path Details
------------
start -0.34° 51.45° 88.08km
end   -0.29° 51.43° 82.36km

Orbit Details
-------------
Semimajor axis 3.49A.U., eccentricity 0.73, inclination 38.70°, Period 6.53Y, LA Sun 186.56°, last Perihelion 2021-09-10

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: 2459487.301105197053
Time: 2021-09-29 19:13:35.489025 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002C and UK003D
 Convergence angle = 49.31779 deg
 R.A. = 236.26216  Dec = +59.36608 deg

Best intersection: Stations UK002C and UK003D with Qconv = 49.32 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1822201.16 +/- 20.64 m
 Y =  -3603010.39 +/- 16.26 m
 Z =   5034059.09 +/- 16.81 m
 Vx =    -7899.33 +/- 165.39 m/s
 Vy =   -11728.92 +/- 58.42 m/s
 Vz =    23620.03 +/- 87.38 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+4.702978e+02, -1.903731e+02, +1.711491e+02, +3.116324e+03, -1.408071e+03, +1.565183e+03
-1.903731e+02, +2.893574e+02, -2.328021e+02, -2.104117e+03, +1.621893e+03, -8.717612e+02
+1.711491e+02, -2.328021e+02, +3.076019e+02, +1.722322e+03, -1.060992e+03, +8.687302e+02
+3.116324e+03, -2.104117e+03, +1.722322e+03, +3.016111e+04, -1.558156e+04, +1.395026e+04
-1.408071e+03, +1.621893e+03, -1.060992e+03, -1.558156e+04, +1.166363e+04, -6.123322e+03
+1.565183e+03, -8.717612e+02, +8.687302e+02, +1.395026e+04, -6.123322e+03, +6.901849e+03

Timing offsets (from input data):
    UK000F: 0.000000 s
    UK002C: 0.000000 s
    UK003D: -0.000105 s

Reference point on the trajectory:
  Time: 2021-09-29 19:13:35.489025 UTC
  Lon     = +-0.334961 +/- 0.0002 deg
  Lat     = +51.453652 +/- 0.0001 deg
  Lat geo = +51.268512 +/- 0.0001 deg
  Ht      =   88060.31 +/- 24.45 m

  JD dynamic   = 2459487.301905937959 
  LST apparent = 296.8277348463 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 236.04007 +/- 0.7565 deg
  Dec       = +59.09166 +/- 0.1602 deg
  Azimuth   = 307.06027 +/- 0.2100 deg
  Elevation = +55.81797 +/- 0.4053 deg
  Vavg      =  27.84012 +/- 0.0585 km/s
  Vinit     =  27.52949 +/- 0.0555 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 236.63304 +/- 0.7565 deg
  Dec       = +59.55140 +/- 0.1602 deg
  Azimuth   = 307.72769 +/- 0.2100 deg
  Elevation = +56.22264 +/- 0.4053 deg
  Vavg      =  27.70938 +/- 0.0585 km/s
  Vinit     =  27.39875 +/- 0.0555 km/s
Radiant (geocentric, J2000):
  R.A.   = 232.99016 +/- 0.7888 deg
  Dec    = +58.74415 +/- 0.1796 deg
  Vg     =  25.18612 +/- 0.0607 km/s
  Vinf   =  27.52949 +/- 0.0555 km/s
  Zc     =  34.29388 +/- 0.4053 deg
  Zg     =  35.86546 +/- 0.4319 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 187.31991 +/- 0.6287 deg
  Bg     = +71.64549 +/- 0.4020 deg
  Vh     =  38.95428 +/- 0.1026 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 262.54955 +/- 0.2999 deg
  Bh     = +37.85889 +/- 0.1151 deg
  Vh_x   =   3.98801 +/- 0.1561 km/s
  Vh_y   =  30.49571 +/- 0.0743 km/s
  Vh_z   = -23.90698 +/- 0.1131 km/s
Orbit:
  La Sun = 186.562941 +/- 0.0000 deg
  a      =   3.493293 +/- 0.1113 AU
  e      =   0.725748 +/- 0.0080
  i      =  38.700871 +/- 0.0839 deg
  peri   = 153.705546 +/- 0.7581 deg
  node   = 186.564462 +/- 0.0000 deg
  Pi     = 340.270007 +/- 0.7581 deg
  q      =   0.958044 +/- 0.0022 AU
  f      =  26.291771 +/- 0.7581 deg
  M      =   2.961861 +/- 0.2242 deg
  Q      =   6.028543 +/- 0.2206 AU
  n      =   0.150957 +/- 0.0071 deg/day
  T      =   6.529098 +/- 0.3134 years
  Last perihelion JD = 2459467.681265 (2021-09-10 04:21:01.318874) +/- 0.5698 days
  Tj     =   2.369541 +/- 0.0444
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.159161e-05, +1.785803e-05, +4.717939e-03, -4.534902e-10, +1.079744e-04, +6.038313e-06
q   , +1.785803e-05, +5.517764e-06, +1.399397e-03, -2.152405e-10, +3.256836e-05, +2.865283e-06
Tp  , +4.717939e-03, +1.399397e-03, +3.575139e-01, -5.124700e-08, +8.295488e-03, +6.822285e-04
node, -4.534902e-10, -2.152405e-10, -5.124700e-08, +1.322369e-14, -1.224822e-09, -1.760248e-10
peri, +1.079744e-04, +3.256836e-05, +8.295488e-03, -1.224822e-09, +1.927230e-04, +1.630527e-05
i   , +6.038313e-06, +2.865283e-06, +6.822285e-04, -1.760248e-10, +1.630527e-05, +2.343133e-06

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: UK002C
  Avg. res. = 3.982e-06 s
  Stddev    = 2.00e-03 s

Begin point on the trajectory:
  Lon =    -0.335106 +/- 0.0002 deg
  Lat =    51.453720 +/- 0.0001 deg
  Ht  = 88079.18 +/- 17.68 m
End point on the trajectory:
  Lon =    -0.292105 +/- 0.0003 deg
  Lat =    51.432936 +/- 0.0001 deg
  Ht  = 82359.60 +/- 20.92 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
    UK000F,    True,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,    87846.47,    82263.18,          0.039924,       nan,       nan,              76.97, 0.0000,    True,    True, {"ff_name": "FF_UK000F_20210929_191328_043_0080384.fits"}
    UK002C,   False,    -1.801980,    51.351940,  130.00,   0.000000,   0.000000,    88079.18,    82359.60,          0.006660,     15.43,      2.93,              76.49, 1.0000,    True,    True, {"ff_name": "FF_UK002C_20210929_191328_081_0077312.fits"}
    UK003D,   False,    -0.649870,    51.914450,   87.00,   0.000000,   0.000000,    87642.57,    83124.87,          0.008197,     13.99,      4.61,              63.82, 1.0000,    True,    True, {"ff_name": "FF_UK003D_20210929_191332_662_0084480.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,     UK000F,       1,  0.004776, 2459487.301105252467, 332.63837,  18.78839,              125.05573,  46.17285,       125.03914,       46.17271,    332.63837,     +18.78839,     332.64873,      +18.79440,  1822275.34, -3602900.26,  5033837.30,      51.452876,       -0.333336,   87846.47,  120903.10,       0.00,              258.50,    27.81,      0.00,           28275.59,     -3.30,    -24.03,          41.37,  +2.45,  +2.04
  1,     UK000F,       1,  0.045172, 2459487.301105719991, 332.88986,  18.38283,              125.07655,  45.70265,       125.05244,       45.70244,    332.88986,     +18.38283,     332.90519,      +18.39162,  1822568.80, -3602464.52,  5032959.80,      51.449805,       -0.326997,   87000.44,  120675.10,    1022.74,             1281.24,   -61.54,  25317.86,           28275.59,     -4.82,    -35.14,          60.62,  +1.66,  +1.25
  2,     UK000F,       1,  0.085636, 2459487.301106187981, 333.20205,  17.91923,              125.06974,  45.15228,       125.06695,       45.15226,    333.20205,     +17.91923,     333.20417,      +17.92026,  1822910.43, -3601957.27,  5031938.29,      51.446228,       -0.319590,   86015.62,  120421.06,    2213.32,             2471.82,    15.09,  29423.28,           28275.59,     -0.56,     -4.09,           7.07,  +1.23,  +0.83
  3,     UK000F,       1,  0.126112, 2459487.301106656902, 333.47713,  17.42569,              125.12526,  44.59485,       125.08134,       44.59448,    333.47713,     +17.42569,     333.50568,      +17.44193,  1823255.33, -3601445.17,  5030907.01,      51.442616,       -0.312109,   85021.43,  120175.94,    3415.30,             3673.80,   102.79,  29696.04,           28275.59,     -8.94,    -65.00,         112.61,  +1.40,  +1.00
  4,     UK000F,       1,  0.166528, 2459487.301107124425, 333.73162,  17.00063,              125.15079,  44.10553,       125.09432,       44.10505,    333.73162,     +17.00063,     333.76859,      +17.02164,  1823557.07, -3600997.15,  5030004.76,      51.439455,       -0.305584,   84151.67,  119970.03,    4466.89,             4725.39,    41.74,  26019.04,           28004.96,    -11.58,    -84.12,         145.99,  +2.07,  +1.67
  5,     UK000F,       1,  0.206940, 2459487.301107592415, 333.97269,  16.57716,              125.18832,  43.62401,       125.10697,       43.62333,    333.97269,     +16.57716,     334.02616,      +16.60759,  1823853.12, -3600557.57,  5029119.53,      51.436352,       -0.299184,   83298.36,  119776.40,    5498.62,             5757.12,   -39.04,  25530.47,           27574.43,    -16.82,   -121.95,         211.99,  +2.35,  +1.96
  6,     UK000F,       1,  0.247440, 2459487.301108060870, 334.27737,  16.06774,              125.21441,  43.03694,       125.12114,       43.03617,    334.27737,     +16.06774,     334.33920,      +16.10288,  1824212.28, -3600024.28,  5028045.58,      51.432585,       -0.291384,   82263.18,  119554.37,    6750.34,             7008.84,    97.73,  30906.56,           27778.17,    -19.45,   -140.91,         245.42,  +3.39,  +3.00
  0,     UK002C,       0,  0.000000, 2459487.301105197053,   1.99716,  33.96530,               83.10630,  39.92211,        83.09681,       39.91901,      1.99716,     +33.96530,       2.00579,      +33.96868,  1822194.62, -3603020.11,  5034078.65,      51.453720,       -0.335106,   88079.18,  135749.03,       0.00,               22.80,   -76.41,      0.00,           28758.24,      3.50,    -18.43,          28.50,  +3.07,  +2.41
  1,     UK002C,       0,  0.040416, 2459487.301105665043,   2.25988,  33.51558,               83.35304,  39.45959,        83.35180,       39.45919,      2.25988,     +33.51558,       2.26118,      +33.51602,  1822545.30, -3602499.42,  5033030.08,      51.450051,       -0.327499,   87068.21,  135465.11,    1222.12,             1199.32,   -12.52,  30238.60,           28758.24,      0.46,     -2.42,           3.75,  +1.92,  +1.26
  2,     UK002C,       0,  0.080820, 2459487.301106132567,   2.51598,  33.08426,               83.58130,  39.01171,        83.59421,       39.01592,      2.51598,     +33.08426,       2.50455,      +33.07965,  1822881.69, -3601999.95,  5032024.23,      51.446529,       -0.320207,   86098.47,  135202.12,    2394.46,             2371.66,    47.51,  29015.44,           28758.24,     -4.79,     25.23,          39.18,  +1.58,  +0.93
  3,     UK002C,       0,  0.121192, 2459487.301106599625,   2.73322,  32.67514,               83.81168,  38.60130,        83.81711,       38.60307,      2.73322,     +32.67514,       2.72878,      +32.67320,  1823193.68, -3601536.70,  5031091.32,      51.443262,       -0.313456,   85199.11,  134966.11,    3481.78,             3458.98,    23.41,  26932.43,           28758.24,     -2.02,     10.64,          16.55,  +1.58,  +0.93
  4,     UK002C,       0,  0.161560, 2459487.301107067149,   2.93954,  32.26671,               84.04497,  38.19673,        84.03545,       38.19363,      2.93954,     +32.26671,       2.94892,      +32.27011,  1823501.77, -3601079.25,  5030170.10,      51.440034,       -0.306790,   84311.05,  134741.04,    4555.48,             4532.67,   -14.20,  26597.71,           28152.53,      3.55,    -18.72,          29.17,  +1.84,  +1.19
  5,     UK002C,       0,  0.201948, 2459487.301107534207,   3.17118,  31.84249,               84.27009,  37.76427,        84.26275,       37.76188,      3.17118,     +31.84249,       3.17874,      +31.84511,  1823825.11, -3600599.16,  5029203.27,      51.436645,       -0.299785,   83379.08,  134514.01,    5682.32,             5659.52,     0.78,  27900.57,           27943.38,      2.75,    -14.47,          22.59,  +2.23,  +1.59
  6,     UK002C,       0,  0.242380, 2459487.301108002197,   3.42624,  31.37726,               84.51099,  37.28769,        84.50929,       37.28714,      3.42624,     +31.37726,       3.42881,      +31.37787,  1824178.83, -3600073.95,  5028145.61,      51.432936,       -0.292105,   82359.60,  134276.79,    6915.05,             6892.25,   120.44,  30488.95,           28141.72,      0.64,     -3.36,           5.25,  +3.12,  +2.48
  0,     UK003D,       0,  0.012321, 2459487.301105340943, 309.79993,  20.56809,              156.73497,  56.99031,       156.72099,       56.99280,    309.79993,     +20.56809,     309.80714,      +20.57249,  1822346.06, -3602795.24,  5033625.82,      51.452136,       -0.331800,   87642.57,  104108.69,       0.00,              504.99,    66.58,      0.00,           27109.07,     -4.56,    -13.83,          28.86,  +2.86,  +2.77
  1,     UK003D,       0,  0.052537, 2459487.301105806138, 310.09957,  20.13848,              156.44524,  56.50220,       156.44015,       56.50310,    310.09957,     +20.13848,     310.10243,      +20.14009,  1822644.41, -3602352.26,  5032733.72,      51.449013,       -0.325352,   86782.48,  103657.10,    1039.75,             1544.73,    -0.80,  25854.08,           27109.07,     -1.67,     -5.07,          10.63,  +1.27,  +1.19
  2,     UK003D,       0,  0.092765, 2459487.301106271800, 310.42407,  19.68210,              156.13232,  55.98150,       156.14725,       55.97884,    310.42407,     +19.68210,     310.41665,      +19.67732,  1822960.50, -3601882.93,  5031788.58,      51.445704,       -0.318509,   85871.29,  103187.96,    2141.33,             2646.31,    -6.68,  27383.43,           27109.07,      4.94,     15.00,          31.57,  +1.12,  +1.05
  3,     UK003D,       0,  0.133001, 2459487.301106737461, 310.75178,  19.20723,              155.82803,  55.44148,       155.85296,       55.43705,    310.75178,     +19.20723,     310.73917,      +19.19918,  1823283.74, -3601402.98,  5030822.04,      51.442319,       -0.311508,   84939.52,  102718.14,    3267.84,             3772.82,    12.15,  27997.53,           27109.07,      8.31,     25.23,          53.35,  +1.29,  +1.23
  4,     UK003D,       0,  0.173249, 2459487.301107203588, 311.04105,  18.74179,              155.58527,  54.91971,       155.58068,       54.92052,    311.04105,     +18.74179,     311.04422,      +18.74328,  1823588.91, -3600949.87,  5029909.56,      51.439121,       -0.304906,   84059.89,  102283.72,    4331.36,             4836.34,   -32.33,  26424.15,           27070.02,     -1.54,     -4.68,           9.93,  +1.92,  +1.87
  5,     UK003D,       0,  0.213493, 2459487.301107669249, 311.37357,  18.25662,              155.28734,  54.36734,       155.29572,       54.36586,    311.37357,     +18.25662,     311.36993,      +18.25386,  1823913.31, -3600468.20,  5028939.55,      51.435721,       -0.297877,   83124.87,  101832.12,    5461.91,             5966.89,    -9.68,  28092.42,           27204.97,      2.84,      8.62,          18.38,  +3.21,  +3.17

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.