Orbital Analysis for matched events on 20210929_221449.153_UK

Summary for Event
-----------------
shower ID 555 OCP
Lg 59.96° Bg 46.27° Vg 50.48km/s
mass 0.02079g, abs. mag 0.0
Path Details
------------
start -0.14° 54.97° 107.70km
end   -0.22° 54.93° 95.21km

Orbit Details
-------------
Semimajor axis -47.60A.U., eccentricity 1.02, inclination 87.23°, Period 1000000000.00Y, LA Sun 186.69°, 

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: 2459487.426957790274
Time: 2021-09-29 22:14:49.153080 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002X and UK004B
 Convergence angle = 52.96079 deg
 R.A. =  37.31164  Dec = +64.36928 deg

Best intersection: Stations UK002X and UK004B with Qconv = 52.96 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3557905.63 +/- 20.70 m
 Y =  -1124869.80 +/- 37.24 m
 Z =   5287490.52 +/- 80.77 m
 Vx =    17879.67 +/- 335.43 m/s
 Vy =    13346.97 +/- 419.40 m/s
 Vz =    46626.27 +/- 455.98 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.075176e+02, +1.186096e+01, +3.084724e+02, +5.026948e+02, -3.683417e+02, -1.230070e+03
+1.186096e+01, +6.707351e+02, +1.319152e+03, -8.736354e+02, +2.948688e+03, +9.284547e+02
+3.084724e+02, +1.319152e+03, +4.419943e+03, -1.642887e+03, +3.421091e+03, +3.628765e+03
+5.026948e+02, -8.736354e+02, -1.642887e+03, +6.574705e+03, -7.051150e+03, -1.559330e+04
-3.683417e+02, +2.948688e+03, +3.421091e+03, -7.051150e+03, +2.157322e+04, +7.219501e+03
-1.230070e+03, +9.284547e+02, +3.628765e+03, -1.559330e+04, +7.219501e+03, +4.363251e+04

Timing offsets (from input data):
    UK000P: 0.000000 s
    UK002X: 0.000784 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 22:14:49.153080 UTC
  Lon     = +-0.138582 +/- 0.0006 deg
  Lat     = +54.966681 +/- 0.0004 deg
  Lat geo = +54.788594 +/- 0.0004 deg
  Ht      =  107713.01 +/- 69.21 m

  JD dynamic   = 2459487.427758531179 
  LST apparent = 342.4550946495 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  36.74091 +/- 0.4742 deg
  Dec       = +64.42758 +/- 0.4457 deg
  Azimuth   =  48.36963 +/- 0.9086 deg
  Elevation = +62.03732 +/- 0.2383 deg
  Vavg      =  50.02954 +/- 0.0864 km/s
  Vinit     =  51.68978 +/- 0.3145 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  37.14479 +/- 0.4742 deg
  Dec       = +64.20653 +/- 0.4457 deg
  Azimuth   =  48.79339 +/- 0.9086 deg
  Elevation = +61.83791 +/- 0.2383 deg
  Vavg      =  50.12554 +/- 0.0864 km/s
  Vinit     =  51.78578 +/- 0.3145 km/s
Radiant (geocentric, J2000):
  R.A.   =  37.08761 +/- 0.4717 deg
  Dec    = +64.29398 +/- 0.4523 deg
  Vg     =  50.48418 +/- 0.3219 km/s
  Vinf   =  51.68978 +/- 0.3145 km/s
  Zc     =  28.08128 +/- 0.2367 deg
  Zg     =  28.41942 +/- 0.2405 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  59.96124 +/- 0.2200 deg
  Bg     = +46.27377 +/- 0.4721 deg
  Vh     =  42.30914 +/- 0.3392 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =   1.95360 +/- 0.6757 deg
  Bh     = +59.57959 +/- 0.4642 deg
  Vh_x   = -21.41040 +/- 0.1701 km/s
  Vh_y   =  -0.73031 +/- 0.2533 km/s
  Vh_z   = -36.48458 +/- 0.4496 km/s
Orbit:
  La Sun = 186.686583 +/- nan deg
  a      = -47.600210 +/- 240.5487 AU
  e      =   1.015725 +/- 0.0244
  i      =  87.226057 +/- 0.3738 deg
  peri   = 240.095746 +/- 1.6582 deg
  node   = 186.686896 +/- 0.0000 deg
  Pi     =  66.782641 +/- 1.6582 deg
  q      =   0.748503 +/- 0.0098 AU
  f      = 299.902869 +/- 1.6582 deg
  M      =        nan +/- nan deg
  Q      = -95.948924 +/- 481.1000 AU
  n      =   0.003001 +/- 0.0058 deg/day
  T      = 1000000000.000000 +/- 471401543.1936 years
  Last perihelion JD = NaN 
  Tj     =  -0.057217 +/- 0.1687
Shower association:
  IAU No.  =  555
  IAU code =  OCP

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +8.891510e-05, +3.818669e-05, -2.772264e+03, -3.792996e-10, -1.142236e-04, +1.567979e-05
q   , +3.818669e-05, +1.728957e-05, -1.135896e+03, -2.719943e-10, -5.108822e-05, +1.124868e-05
Tp  , -2.772264e+03, -1.135896e+03, +9.857591e+10, +5.445778e-03, +3.434153e+03, -2.247291e+02
node, -3.792996e-10, -2.719943e-10, +5.445778e-03, +1.520379e-14, +7.364878e-10, -6.292473e-10
peri, -1.142236e-04, -5.108822e-05, +3.434153e+03, +7.364878e-10, +1.513798e-04, -3.045646e-05
i   , +1.567979e-05, +1.124868e-05, -2.247291e+02, -6.292473e-10, -3.045646e-05, +2.604311e-05

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.704096
 a2 = 21.917537

Mean time residuals from time vs. length:
  Station with reference time: UK004B
  Avg. res. = 2.402e-06 s
  Stddev    = 1.55e-03 s

Begin point on the trajectory:
  Lon =    -0.138691 +/- 0.0006 deg
  Lat =    54.966625 +/- 0.0004 deg
  Ht  = 107695.20 +/- 49.38 m
End point on the trajectory:
  Lon =    -0.216028 +/- 0.0012 deg
  Lat =    54.927627 +/- 0.0002 deg
  Ht  = 95211.92 +/- 47.34 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
    UK000P,    True,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   105272.59,    94512.42,          0.051609,       nan,       nan,              41.79, 0.0000,    True,    True, {"ff_name": "FF_UK000P_20210929_221440_510_0338944.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   3.249310,  16.038587,   106115.54,    95211.92,          0.008143,      3.16,     29.68,              41.79, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20210929_221444_946_0145664.fits"}
    UK004B,   False,    -0.382770,    53.537630,   36.00,   0.833428,  21.284098,   107695.20,    95486.22,          0.013061,     31.92,     29.35,              38.39, 1.0000,    True,    True, {"ff_name": "FF_UK004B_20210929_221440_322_0356608.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,     UK000P,       1,  0.059031, 2459487.426958473399,  52.20058,  22.95596,               90.06322,  28.47948,        90.01290,       28.45518,     52.20058,     +22.95596,      52.25485,      +22.96452,  3556949.86, -1125583.27,  5284998.10,      54.959074,       -0.153701,  105272.59,  215112.87,       0.00,             2763.09,    34.41,      0.00,           52506.32,    188.45,    -19.87,         181.70,  +2.46,  +0.80
  1,     UK000P,       1,  0.099223, 2459487.426958938595,  52.27379,  22.58354,               90.26637,  28.14591,        90.22002,       28.12356,     52.27379,     +22.58354,      52.32394,      +22.59142,  3556227.96, -1126122.16,  5283115.53,      54.953323,       -0.165106,  103429.44,  213574.32,    2087.02,             4850.11,    43.91,  51926.18,           52506.32,    172.69,    -18.23,         167.71,  +1.74,  +0.09
  2,     UK000P,       1,  0.139439, 2459487.426959404256,  52.35281,  22.16181,               90.49767,  27.76980,        90.45263,       27.74810,     52.35281,     +22.16181,      52.40170,      +22.16946,  3555424.11, -1126722.23,  5281019.26,      54.946915,       -0.177790,  101377.23,  211873.32,    4410.93,             7174.02,   289.07,  57785.73,           52506.32,    166.88,    -17.62,         163.37,  +1.62,  -0.01
  3,     UK000P,       1,  0.179611, 2459487.426959868986,  52.41288,  21.82101,               90.68623,  27.46759,        90.63930,       27.44499,     52.41288,     +21.82101,      52.46395,      +21.82898,  3554784.38, -1127199.78,  5279350.98,      54.941811,       -0.187921,   99744.13,  210526.24,    6260.38,             9023.47,    62.04,  46038.33,           52506.32,    173.14,    -18.27,         170.58,  +1.69,  +0.07
  4,     UK000P,       1,  0.219795, 2459487.426960334182,  52.46675,  21.42962,               90.91365,  27.12869,        90.85106,       27.09857,     52.46675,     +21.42962,      52.53475,      +21.44022,  3554064.09, -1127737.47,  5277472.63,      54.936060,       -0.199310,   97905.50,  209019.99,    8342.72,            11105.81,    67.28,  51820.17,           51898.70,    229.78,    -24.15,         228.00,  +1.56,  -0.04
  5,     UK000P,       1,  0.259999, 2459487.426960799377,  52.54544,  21.03949,               91.11811,  26.77603,        91.06293,       26.74951,     52.54544,     +21.03949,      52.60564,      +21.04884,  3553349.26, -1128271.08,  5275608.51,      54.930349,       -0.210617,   96080.95,  207535.02,   10409.27,            13172.36,    55.69,  51401.63,           51654.01,    201.57,    -21.22,         201.45,  +1.41,  -0.18
  6,     UK000P,       1,  0.300175, 2459487.426961264573,  52.61322,  20.69967,               91.29550,  26.46889,        91.24648,       26.44535,     52.61322,     +20.69967,      52.66697,      +20.70798,  3552734.71, -1128729.83,  5274005.89,      54.925435,       -0.220364,   94512.42,  206265.06,   12185.94,            14949.03,  -244.33,  44222.06,           50770.69,    178.29,    -18.80,         179.28,  +3.24,  +1.67
  0,     UK002X,       0,  0.043618, 2459487.426958286669,  52.22514,  23.13372,               89.91695,  28.60438,        89.91874,       28.60524,     52.22514,     +23.13372,      52.22341,      +23.13342,  3557280.01, -1125336.82,  5285859.04,      54.961702,       -0.148495,  106115.54,  215819.05,       0.00,             1808.65,  -123.36,      0.00,           52815.58,     -6.70,      0.72,           6.44,  +4.56,  +2.89
  1,     UK002X,       0,  0.083978, 2459487.426958754193,  52.29349,  22.72911,               90.14754,  28.24864,        90.14332,       28.24660,     52.29349,     +22.72911,      52.29837,      +22.72983,  3556494.61, -1125923.11,  5283810.90,      54.955448,       -0.160888,  104110.23,  214141.78,    2270.57,             4079.22,    61.01,  56257.83,           52815.58,     15.77,     -1.68,          15.28,  +2.81,  +1.16
  2,     UK002X,       0,  0.124302, 2459487.426959220786,  52.37343,  22.37088,               90.33418,  27.92203,        90.34266,       27.92612,     52.37343,     +22.37088,      52.36485,      +22.36943,  3555803.29, -1126439.17,  5282008.08,      54.949938,       -0.171819,  102345.24,  212673.47,    4269.16,             6077.82,   -24.73,  49563.49,           52815.58,    -31.51,      3.37,          30.74,  +2.15,  +0.51
  3,     UK002X,       0,  0.164654, 2459487.426959687844,  52.42948,  21.97168,               90.56754,  27.57649,        90.56056,       27.57314,     52.42948,     +21.97168,      52.43765,      +21.97287,  3555053.68, -1126998.75,  5280053.26,      54.943960,       -0.183661,  100431.58,  211092.07,    6436.27,             8244.93,    56.59,  53705.10,           52815.58,     25.80,     -2.75,          25.35,  +2.17,  +0.55
  4,     UK002X,       0,  0.204978, 2459487.426960154437,  52.49021,  21.60888,               90.77007,  27.25636,        90.75830,       27.25071,     52.49021,     +21.60888,      52.50368,      +21.61088,  3554378.91, -1127502.45,  5278293.62,      54.938574,       -0.194340,   98709.10,  209676.63,    8387.01,            10195.66,   -77.01,  48376.58,           51908.79,     43.29,     -4.61,          42.83,  +1.47,  -0.14
  5,     UK002X,       0,  0.245298, 2459487.426960621029,  52.55345,  21.25117,               90.96559,  26.93836,        90.95246,       26.93206,     52.55345,     +21.25117,      52.56853,      +21.25341,  3553721.35, -1127993.32,  5276578.83,      54.933322,       -0.204754,   97030.64,  208305.42,   10288.01,            12096.67,  -260.14,  47147.94,           50969.87,     48.05,     -5.11,          47.85,  +1.35,  -0.24
  6,     UK002X,       0,  0.285650, 2459487.426961088087,  52.63674,  20.86033,               91.16594,  26.58228,        91.16448,       26.58158,     52.63674,     +20.86033,      52.63950,      +20.86058,  3553008.78, -1128525.24,  5274720.62,      54.927627,       -0.216028,   95211.92,  206829.85,   12348.03,            14156.68,  -285.92,  51051.04,           50643.14,      5.32,     -0.57,           5.34,  +1.65,  +0.07
  0,     UK004B,       0,  0.000000, 2459487.426957790274, 148.94814,  69.09913,                5.60178,  33.02234,         5.61245,       33.01702,    148.94814,     +69.09913,     148.92584,      +69.09242,  3557898.65, -1124875.01,  5287472.33,      54.966625,       -0.138691,  107695.20,  193841.46,       0.00,               20.17,   342.77,      0.00,           48839.18,     23.84,     25.91,          37.47,  +4.26,  +2.82
  1,     UK004B,       0,  0.040256, 2459487.426958256401, 149.46076,  68.82177,                5.43805,  32.71921,         5.40836,       32.73400,    149.46076,     +68.82177,     149.52288,      +68.84026,  3557281.61, -1125335.62,  5285863.22,      54.961715,       -0.148460,  106119.64,  192444.35,    1783.85,             1804.01,    45.80,  44312.61,           48839.18,    -65.94,    -71.80,         104.49,  +3.02,  +1.60
  2,     UK004B,       0,  0.080516, 2459487.426958722062, 150.21272,  68.55036,                5.16613,  32.40963,         5.17408,       32.40567,    150.21272,     +68.55036,     150.19649,      +68.54546,  3556577.74, -1125861.05,  5284027.68,      54.956110,       -0.159582,  104322.47,  190858.71,    3818.73,             3838.89,    -0.35,  50543.41,           48839.18,     17.57,     19.09,          28.04,  +2.29,  +0.89
  3,     UK004B,       0,  0.120800, 2459487.426959188655, 150.87324,  68.24037,                4.93360,  32.06822,         4.93495,       32.06755,    150.87324,     +68.24037,     150.87094,      +68.23955,  3555865.82, -1126392.49,  5282171.15,      54.950437,       -0.170834,  102504.88,  189263.76,    5876.87,             5897.04,   -24.48,  51090.97,           48839.18,      2.96,      3.22,           4.77,  +1.91,  +0.52
  4,     UK004B,       0,  0.161096, 2459487.426959654782, 151.56475,  67.91586,                4.68327,  31.71216,         4.68529,       31.71116,    151.56475,     +67.91586,     151.56124,      +67.91464,  3555129.15, -1126942.41,  5280250.09,      54.944562,       -0.182474,  100624.26,  187622.99,    8006.56,             8026.73,    22.32,  52851.05,           49924.19,      4.41,      4.79,           7.15,  +2.08,  +0.71
  5,     UK004B,       0,  0.201388, 2459487.426960121375, 152.23194,  67.59509,                4.43623,  31.36238,         4.44127,       31.35988,    152.23194,     +67.59509,     152.22237,      +67.59209,  3554416.34, -1127474.51,  5278391.23,      54.938873,       -0.193745,   98804.66,  186044.83,   10067.28,            10087.45,     0.35,  51144.70,           50408.48,     10.94,     11.88,          17.91,  +1.60,  +0.25
  6,     UK004B,       0,  0.241672, 2459487.426960587502, 152.83837,  67.27749,                4.20943,  31.01978,         4.20750,       31.02074,    152.83837,     +67.27749,     152.84335,      +67.27862,  3553740.28, -1127979.19,  5276628.20,      54.933473,       -0.204447,   97078.97,  184556.86,   12021.77,            12041.94,  -127.43,  48517.81,           50378.77,     -4.16,     -4.52,           6.87,  +1.71,  +0.38
  7,     UK004B,       0,  0.281924, 2459487.426961053163, 153.44732,  66.99320,                3.97157,  30.71138,         3.98958,       30.70246,    153.44732,     +66.99320,     153.41151,      +66.98270,  3553116.25, -1128445.01,  5275000.88,      54.928486,       -0.214341,   95486.22,  183191.21,   13825.82,            13845.98,  -404.00,  44818.69,           49903.40,     38.72,     42.01,          64.33,  +1.73,  +0.42
  8,     UK004B,       1,  0.322168, 2459487.426961519290, 154.01798,  66.71676,                3.74509,  30.41355,         3.78098,       30.39579,    154.01798,     +66.71676,     153.94588,      +66.69603,  3552524.28, -1128886.91,  5273457.16,      54.923752,       -0.223737,   93975.36,  181902.81,   15537.19,            15557.35,  -772.83,  42524.89,           49190.13,     76.82,     83.27,         128.46,  +5.97,  +4.67

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.