Orbital Analysis for matched events on 20210929_044616.420_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 125.15° Bg -8.73° Vg 64.38km/s
mass 0.01149g, abs. mag -0.3
Path Details
------------
start -1.95° 53.95° 112.30km
end   -2.12° 54.00° 103.98km

Orbit Details
-------------
Semimajor axis 11.71A.U., eccentricity 0.96, inclination 159.27°, Period 40.09Y, LA Sun 185.97°, last Perihelion 2021-08-20

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: 2459486.698801167775
Time: 2021-09-29 04:46:16.420896 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002Z and UK003B
 Convergence angle = 41.67891 deg
 R.A. = 125.49952  Dec = +10.97108 deg

Best intersection: Stations UK002Z and UK003B with Qconv = 41.68 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    809627.80 +/- 144.70 m
 Y =   3741672.69 +/- 27.21 m
 Z =   5224012.41 +/- 163.78 m
 Vx =   -37186.47 +/- 291.56 m/s
 Vy =    52293.29 +/- 696.43 m/s
 Vz =    12255.56 +/- 913.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.140938e+04, +5.446771e+02, +1.344537e+04, +5.965048e+04, +2.086871e+03, +6.840216e+04
+5.446771e+02, +6.938579e+02, +8.748372e+02, +8.179326e+03, -9.968116e+02, +3.836781e+03
+1.344537e+04, +8.748372e+02, +1.703280e+04, +7.456249e+04, -4.735417e+03, +8.070231e+04
+5.965048e+04, +8.179326e+03, +7.456249e+04, +4.419960e+05, -1.193117e+05, +3.259011e+05
+2.086871e+03, -9.968116e+02, -4.735417e+03, -1.193117e+05, +1.932402e+05, +7.879716e+04
+6.840216e+04, +3.836781e+03, +8.070231e+04, +3.259011e+05, +7.879716e+04, +4.624905e+05

Timing offsets (from input data):
    UK002X: 0.000000 s
    UK002Z: 0.000000 s
    UK003B: -0.000008 s
    UK004B: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:46:16.420896 UTC
  Lon     = +-1.949079 +/- 0.0021 deg
  Lat     = +53.945391 +/- 0.0006 deg
  Lat geo = +53.765264 +/- 0.0006 deg
  Ht      =  112315.79 +/- 154.75 m

  JD dynamic   = 2459486.699601908680 
  LST apparent = 77.7904984043 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 125.41715 +/- 0.5680 deg
  Dec       = +10.81294 +/- 0.7238 deg
  Azimuth   = 120.34356 +/- 0.1745 deg
  Elevation = +32.77141 +/- 0.9012 deg
  Vavg      =  60.46913 +/- 0.2384 km/s
  Vinit     =  65.32703 +/- 0.5338 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 125.58461 +/- 0.5680 deg
  Dec       = +10.77907 +/- 0.7238 deg
  Azimuth   = 120.19710 +/- 0.1745 deg
  Elevation = +32.65730 +/- 0.9012 deg
  Vavg      =  60.67199 +/- 0.2384 km/s
  Vinit     =  65.52988 +/- 0.5338 km/s
Radiant (geocentric, J2000):
  R.A.   = 125.36167 +/- 0.5702 deg
  Dec    = +10.49318 +/- 0.7259 deg
  Vg     =  64.37805 +/- 0.5417 km/s
  Vinf   =  65.32703 +/- 0.5338 km/s
  Zc     =  57.13773 +/- 0.9016 deg
  Zg     =  57.59424 +/- 0.9047 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 125.15107 +/- 0.7248 deg
  Bg     =  -8.73446 +/- 0.5764 deg
  Vh     =  41.17479 +/- 0.7885 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 145.75149 +/- 0.9406 deg
  Bh     = -13.73169 +/- 0.7503 deg
  Vh_x   =  33.06247 +/- 0.8448 km/s
  Vh_y   = -22.51017 +/- 0.3948 km/s
  Vh_z   =   9.77389 +/- 0.7027 km/s
Orbit:
  La Sun = 185.971357 +/- nan deg
  a      =  11.714323 +/- 291.3996 AU
  e      =   0.962471 +/- 0.0313
  i      = 159.273432 +/- 1.4978 deg
  peri   = 261.710833 +/- 1.4745 deg
  node   =   5.975192 +/- 0.0001 deg
  Pi     = 267.686025 +/- 1.4745 deg
  q      =   0.439623 +/- 0.0074 AU
  f      =  98.291065 +/- 1.4746 deg
  M      =   0.973489 +/- nan deg
  Q      =  22.989024 +/- 582.7994 AU
  n      =   0.024583 +/- 0.0203 deg/day
  T      =  40.093729 +/- 498887307.7005 years
  Last perihelion JD = 2459447.098892 (2021-08-20 14:22:24.303122) +/- 0.6342 days
  Tj     =  -0.317347 +/- 0.3852
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.055962e-04, +1.386163e-04, +1.812791e-02, -2.691533e-08, +7.406858e-04, -3.124317e-04
q   , +1.386163e-04, +1.251959e-04, +2.849754e-03, +9.857680e-09, +3.477452e-04, +1.328120e-04
Tp  , +1.812791e-02, +2.849754e-03, +4.715211e-01, -8.076741e-07, +1.757631e-02, -9.531848e-03
node, -2.691533e-08, +9.857680e-09, -8.076741e-07, +3.742675e-12, +2.894146e-09, +4.685618e-08
peri, +7.406858e-04, +3.477452e-04, +1.757631e-02, +2.894146e-09, +1.195417e-03, +7.100184e-05
i   , -3.124317e-04, +1.328120e-04, -9.531848e-03, +4.685618e-08, +7.100184e-05, +5.883855e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000007
 a2 = 73.271029

Mean time residuals from time vs. length:
  Station with reference time: UK002Z
  Avg. res. = 1.904e-05 s
  Stddev    = 4.36e-03 s

Begin point on the trajectory:
  Lon =    -1.949317 +/- 0.0021 deg
  Lat =    53.945474 +/- 0.0006 deg
  Ht  = 112303.90 +/- 154.51 m
End point on the trajectory:
  Lon =    -2.118039 +/- 0.0006 deg
  Lat =    54.003186 +/- 0.0002 deg
  Ht  = 103980.17 +/- 34.39 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
    UK002X,    True,    -3.059440,    54.994170,   18.00,   8.577256,  16.350585,   111025.37,   103345.83,          0.081390,       nan,       nan,              24.61, 0.0000,    True,    True, {"ff_name": "FF_UK002X_20210929_044613_830_0551424.fits"}
    UK002Z,   False,    -0.382830,    53.537790,   34.00,   0.014090,  39.012751,   112303.90,   103980.17,          0.009866,     27.20,      5.25,             103.03, 1.0000,    True,    True, {"ff_name": "FF_UK002Z_20210929_044616_142_0939776.fits"}
    UK003B,   False,    -1.072290,    52.276980,  129.00,   0.000000,   0.000000,   108017.35,   104227.95,          0.016435,     56.68,     33.69,             106.07, 1.0000,    True,    True, {"ff_name": "FF_UK003B_20210929_044616_347_0936192.fits"}
    UK004B,    True,    -0.382770,    53.537630,   36.00,   7.818521,   9.063261,   108828.82,   104582.11,          0.081957,       nan,       nan,             103.03, 0.0000,    True,   False, {"ff_name": "FF_UK004B_20210929_044611_780_0939776.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,     UK002X,       1,  0.029978, 2459486.698801514693, 101.17106,   7.44735,              148.26936,  38.59483,       148.28789,       38.48999,    101.17106,      +7.44735,     101.18941,       +7.34307,   810985.09,  3739764.01,  5223565.08,      53.954333,       -1.975110,  111025.37,  176008.25,       0.00,             2384.42,   778.94,      0.00,           59323.52,    306.46,    108.59,         381.02,  +4.75,  +3.52
  1,     UK002X,       1,  0.069998, 2459486.698801978026, 100.96421,   7.32628,              148.56630,  38.54159,       148.56994,       38.51999,    100.96421,      +7.32628,     100.96834,       +7.30483,   811914.56,  3738456.95,  5223258.76,      53.960454,       -1.993031,  110142.03,  174515.42,    1632.83,             4017.25,  -202.62,  40800.43,           59323.52,     62.63,     21.94,          78.44,  +2.98,  +1.77
  2,     UK002X,       1,  0.109934, 2459486.698802439962, 100.57002,   7.22840,              149.08084,  38.56526,       149.07978,       38.57184,    100.57002,      +7.22840,     100.56930,       +7.23493,   813563.68,  3736137.87,  5222715.26,      53.971313,       -2.024721,  108575.48,  171876.70,    4529.92,             6914.34,    85.57,  72543.25,           59323.52,    -18.79,     -6.56,          23.88,  +2.42,  +1.24
  3,     UK002X,       1,  0.149874, 2459486.698802902363, 100.23108,   7.15380,              149.51999,  38.59326,       149.51673,       38.61460,    100.23108,      +7.15380,     100.22786,       +7.17496,   814933.91,  3734210.99,  5222263.67,      53.980334,       -2.051104,  107274.53,  169690.13,    6937.06,             9321.48,  -116.45,  60268.91,           59323.52,    -60.11,    -20.94,          77.37,  +1.82,  +0.67
  4,     UK002X,       1,  0.189838, 2459486.698803364765,  99.89346,   7.04321,              149.97125,  38.58504,       149.96095,       38.65635,     99.89346,      +7.04321,      99.88123,       +7.11380,   816290.03,  3732303.96,  5221816.73,      53.989259,       -2.077238,  105987.58,  167532.20,    9319.41,            11703.82,  -344.84,  59612.28,           59916.61,   -198.31,    -68.64,         258.38,  +1.73,  +0.61
  5,     UK002X,       1,  0.229786, 2459486.698803827167,  99.51636,   6.94259,              150.46691,  38.59610,       150.45271,       38.70051,     99.51636,      +6.94259,      99.49807,       +7.04583,   817750.93,  3730249.57,  5221335.26,      53.998872,       -2.105403,  104601.88,  165215.00,   11885.84,            14270.25,  -388.09,  64244.30,           60704.15,   -286.22,    -98.67,         377.97,  +1.99,  +0.90
  6,     UK002X,       1,  0.269730, 2459486.698804289568,  99.16468,   6.85033,              150.92881,  38.60634,       150.91167,       38.73988,     99.16468,      +6.85033,      99.14097,       +6.98225,   819075.78,  3728386.51,  5220898.63,      54.007587,       -2.130983,  103345.83,  163119.88,   14213.25,            16597.67,  -670.10,  58266.95,           60724.43,   -361.37,   -124.15,         483.17,  +2.23,  +1.17
  0,     UK002Z,       0,  0.000000, 2459486.698801167775,   4.36565,  47.34622,              294.33361,  44.08892,       294.33295,       44.08887,      4.36565,     +47.34622,       4.36601,      +47.34581,   809640.30,  3741655.11,  5224008.28,      53.945474,       -1.949317,  112303.90,  159907.99,       0.00,               21.97,   374.89,      0.00,           63366.04,      0.25,      1.30,           1.71,  +3.34,  +2.32
  1,     UK002Z,       0,  0.040584, 2459486.698801637627,   3.43022,  46.98655,              294.47002,  43.36498,       294.43966,       43.36260,      3.43022,     +46.98655,       3.44734,      +46.96760,   810825.16,  3739988.90,  5223617.79,      53.953279,       -1.972101,  111177.38,  160355.73,    2081.49,             2103.46,  -194.85,  51288.46,           63366.04,     11.77,     61.01,          79.93,  +3.34,  +2.31
  2,     UK002Z,       0,  0.081400, 2459486.698802109808,   2.21520,  46.43967,              294.58055,  42.37175,       294.58210,       42.37187,      2.21520,     +46.43967,       2.21464,      +46.44064,   812453.89,  3737698.51,  5223081.01,      53.964006,       -2.003384,  109629.61,  161010.63,    4942.75,             4964.72,     0.01,  70101.32,           63366.04,     -0.61,     -3.17,           4.14,  +1.79,  +0.76
  3,     UK002Z,       0,  0.122156, 2459486.698802581523,   1.07263,  45.94203,              294.72352,  41.44336,       294.71155,       41.44242,      1.07263,     +45.94203,       1.08022,      +45.93448,   813993.96,  3735532.79,  5222573.45,      53.974146,       -2.033002,  108166.89,  161674.68,    7648.26,             7670.23,    43.06,  66383.10,           63366.04,      4.83,     24.99,          32.47,  +1.40,  +0.36
  4,     UK002Z,       0,  0.162872, 2459486.698803052772,   0.02345,  45.45325,              294.83970,  40.56690,       294.83012,       40.56615,      0.02345,     +45.45325,       0.02994,      +45.44717,   815457.56,  3733474.61,  5222091.09,      53.983781,       -2.061183,  106777.52,  162345.65,   10219.42,            10241.40,   -45.63,  63148.85,           63848.72,      3.94,     20.36,          26.35,  +0.92,  -0.13
  5,     UK002Z,       0,  0.203604, 2459486.698803524487, 358.97014,  44.94352,              294.95482,  39.67083,       294.94822,       39.67031,    358.97014,     +44.94352,     358.97509,      +44.93932,   816966.72,  3731352.37,  5221593.71,      53.993712,       -2.090262,  105345.65,  163077.08,   12870.63,            12892.60,   -55.33,  65088.91,           64163.77,      2.76,     14.26,          18.37,  +1.13,  +0.07
  6,     UK002Z,       0,  0.244300, 2459486.698803995270, 357.99788,  44.44607,              295.05053,  38.82252,       295.05703,       38.82303,    357.99788,     +44.44607,     357.99478,      +44.45022,   818406.64,  3729327.49,  5221119.16,      54.003186,       -2.118039,  103980.17,  163812.50,   15400.19,            15422.16,  -184.32,  62157.50,           64061.52,     -2.77,    -14.28,          18.32,  +1.47,  +0.40
  7,     UK002Z,       1,  0.284816, 2459486.698804464191, 357.29370,  44.06720,              295.11185,  38.19355,       295.13539,       38.19541,    357.29370,     +44.06720,     357.27976,      +44.08229,   819480.72,  3727817.07,  5220765.18,      54.010251,       -2.138817,  102962.03,  164386.42,   17287.07,            17309.05,  -944.22,  46571.37,           62569.72,    -10.15,    -52.37,          66.93,  +5.12,  +4.04
  0,     UK003B,       0,  0.123110, 2459486.698802592698, 294.72322,  61.44215,              341.54464,  27.27631,       341.53745,       27.28077,    294.72322,     +61.44215,     294.73975,      +61.44364,   814151.45,  3735311.33,  5222521.54,      53.975183,       -2.036019,  108017.35,  228454.57,       0.00,             7946.89,   257.41,      0.00,           58269.49,    -15.90,     26.71,          28.07,  +1.72,  -0.07
  1,     UK003B,       0,  0.163526, 2459486.698803060688, 295.02576,  60.85213,              341.12606,  26.79628,       341.14670,       26.78351,    295.02576,     +60.85213,     294.98123,      +60.84795,   815594.32,  3733282.31,  5222046.02,      53.984681,       -2.063804,  106647.74,  229222.52,    2534.74,            10481.63,   151.89,  62716.21,           58269.49,     45.83,    -77.08,          80.69,  +1.18,  -0.62
  2,     UK003B,       0,  0.203962, 2459486.698803528678, 295.21098,  60.26668,              340.76712,  26.29834,       340.76872,       26.29735,    295.21098,     +60.26668,     295.20839,      +60.26636,   817011.52,  3731289.37,  5221578.95,      53.994007,       -2.091122,  105303.16,  230001.74,    5024.40,            12971.29,    -0.01,  61570.36,           58269.49,      3.57,     -6.00,           6.26,  +1.48,  -0.33
  3,     UK003B,       0,  0.244286, 2459486.698803995270, 295.42753,  59.80749,              340.44909,  25.92284,       340.46989,       25.91003,    295.42753,     +59.80749,     295.38420,      +59.80340,   818145.28,  3729695.03,  5221205.30,      54.001466,       -2.113026,  104227.95,  230643.37,    7016.12,            14963.02,  -642.54,  49392.99,           58269.49,     46.64,    -78.47,          81.64,  +4.60,  +2.79
  0,     UK004B,       1,  0.103986, 2459486.698802371509,   1.63487,  46.10861,              294.56884,  41.85163,       294.66063,       41.85890,      1.63487,     +46.10861,       1.58171,      +46.16647,   813296.93,  3736513.00,  5222803.17,      53.969557,       -2.019595,  108828.82,  161375.76,       0.00,             6445.71,     5.55,      0.00,           65049.92,    -36.99,   -190.09,         247.53,  +2.70,  +1.66
  1,     UK004B,       1,  0.144534, 2459486.698802840430,   0.60781,  45.61525,              294.66011,  40.98545,       294.77892,       40.99488,      0.60781,     +45.61525,       0.53733,      +45.69050,   814734.45,  3734491.49,  5222329.41,      53.979021,       -2.047264,  107463.87,  162016.74,    2525.36,             8971.07,  -117.98,  62280.65,           65049.92,    -48.81,   -250.27,         324.63,  +0.94,  -0.11
  2,     UK004B,       1,  0.185150, 2459486.698803310748, 359.48271,  45.07094,              294.77622,  40.02953,       294.90636,       40.03988,    359.48271,     +45.07094,     359.40363,      +45.15377,   816337.34,  3732237.43,  5221801.14,      53.989571,       -2.078125,  105942.71,  162774.10,    5341.22,            11786.94,    44.57,  69329.05,           65049.92,    -54.54,   -279.33,         360.64,  +1.04,  -0.02
  3,     UK004B,       1,  0.225726, 2459486.698803780135, 358.46582,  44.61660,              294.93532,  39.18618,       295.01623,       39.19259,    358.46582,     +44.61660,     358.41602,      +44.66826,   817771.80,  3730220.23,  5221328.39,      53.999009,       -2.105787,  104582.11,  163491.06,    7861.19,            14306.91,   -86.17,  62104.92,           65049.92,    -34.36,   -176.55,         226.92,  +1.69,  +0.62

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.