Orbital Analysis for matched events on 20210929_043602.445_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 11.70° Bg 46.08° Vg 30.05km/s
mass 0.05768g, abs. mag 0.6
Path Details
------------
start 0.15° 50.26° 92.00km
end   0.26° 50.21° 84.90km

Orbit Details
-------------
Semimajor axis 10.13A.U., eccentricity 0.93, inclination 38.07°, Period 32.24Y, LA Sun 185.96°, last Perihelion 1989-08-09

Full details below
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Detailed report below graphs

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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: 2459486.691694969311
Time: 2021-09-29 04:36:02.451585 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002N and UK003N
 Convergence angle = 10.19587 deg
 R.A. = 350.81473  Dec = +47.63795 deg

Best intersection: Stations UK002N and UK003N with Qconv = 10.20 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =    909928.92 +/- 16.70 m
 Y =   4043333.39 +/- 159.12 m
 Z =   4952471.00 +/- 15.83 m
 Vx =    21433.09 +/- 198.82 m/s
 Vy =    -4032.36 +/- 655.28 m/s
 Vz =    23475.34 +/- 200.63 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.945348e+02, +1.259176e+03, +1.208818e+02, +3.463514e+02, +2.934173e+03, -4.796867e+02
+1.259176e+03, +2.463605e+04, +1.203933e+03, -7.609272e+03, +8.447529e+04, -1.087726e+04
+1.208818e+02, +1.203933e+03, +2.685211e+02, -5.160367e+02, +2.894209e+03, -2.460420e+02
+3.463514e+02, -7.609272e+03, -5.160367e+02, +8.915916e+03, -4.270535e+04, +6.552728e+03
+2.934173e+03, +8.447529e+04, +2.894209e+03, -4.270535e+04, +4.190989e+05, -5.616296e+04
-4.796867e+02, -1.087726e+04, -2.460420e+02, +6.552728e+03, -5.616296e+04, +9.893878e+03

Timing offsets (from input data):
    UK002N: 0.001204 s
    UK003N: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:36:02.451585 UTC
  Lon     = ++0.142836 +/- 0.0004 deg
  Lat     = +50.262450 +/- 0.0010 deg
  Lat geo = +50.075854 +/- 0.0010 deg
  Ht      =   92244.14 +/- 106.32 m

  JD dynamic   = 2459486.692495782394 
  LST apparent = 77.3172034487 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 349.34507 +/- 1.7943 deg
  Dec       = +47.10724 +/- 0.1521 deg
  Azimuth   = 303.47731 +/- 0.8033 deg
  Elevation = +35.36436 +/- 1.0405 deg
  Vavg      =  30.73605 +/- 0.1183 km/s
  Vinit     =  32.04261 +/- 0.1951 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 349.37356 +/- 1.7943 deg
  Dec       = +47.50545 +/- 0.1521 deg
  Azimuth   = 303.84640 +/- 0.8033 deg
  Elevation = +35.62636 +/- 1.0405 deg
  Vavg      =  30.53125 +/- 0.1183 km/s
  Vinit     =  31.83781 +/- 0.1951 km/s
Radiant (geocentric, J2000):
  R.A.   = 346.95054 +/- 1.7820 deg
  Dec    = +45.79378 +/- 0.1806 deg
  Vg     =  30.05470 +/- 0.2082 km/s
  Vinf   =  32.04261 +/- 0.1951 km/s
  Zc     =  54.73872 +/- 1.0427 deg
  Zg     =  56.63757 +/- 1.0620 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  11.70131 +/- 1.5968 deg
  Bg     = +46.08007 +/- 0.5639 deg
  Vh     =  41.03057 +/- 0.5764 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 313.48108 +/- 0.6017 deg
  Bh     = +31.84875 +/- 0.0924 deg
  Vh_x   = -23.98299 +/- 0.0912 km/s
  Vh_y   =  25.28952 +/- 0.5815 km/s
  Vh_z   = -21.65096 +/- 0.3469 km/s
Orbit:
  La Sun = 185.964379 +/- -0.0000 deg
  a      =  10.129219 +/- 3.4912 AU
  e      =   0.928596 +/- 0.0352
  i      =  38.066533 +/- 0.1722 deg
  peri   = 245.002272 +/- 2.7038 deg
  node   = 185.967177 +/- 0.0000 deg
  Pi     =  70.969449 +/- 2.7038 deg
  q      =   0.723265 +/- 0.0146 AU
  f      = 294.996866 +/- 2.7038 deg
  M      = 358.873546 +/- 1.2238 deg
  Q      =  19.535174 +/- 6.9694 AU
  n      =   0.030573 +/- 0.0299 deg/day
  T      =  32.237740 +/- 16.8039 years
  Last perihelion JD = 2447748.497366 (1989-08-09 23:56:12.454181) +/- 6138.8633 days
  Tj     =   1.328974 +/- 0.2565
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.100648e-03, +4.425660e-04, -1.703328e+02, +1.789524e-09, -1.445181e-03, -7.431260e-05
q   , +4.425660e-04, +1.819152e-04, -6.837336e+01, +7.579029e-10, -5.906214e-04, -3.146849e-05
Tp  , -1.703328e+02, -6.837336e+01, +3.615132e+07, -2.714184e-04, +2.216028e+02, +1.125278e+01
node, +1.789524e-09, +7.579029e-10, -2.714184e-04, +4.336335e-15, -2.445088e-09, -1.797673e-10
peri, -1.445181e-03, -5.906214e-04, +2.216028e+02, -2.445088e-09, +1.920848e-03, +1.015282e-04
i   , -7.431260e-05, -3.146849e-05, +1.125278e+01, -1.797673e-10, +1.015282e-04, +7.452701e-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: UK003N
  Avg. res. = 1.314e-06 s
  Stddev    = 1.15e-03 s

Begin point on the trajectory:
  Lon =     0.146735 +/- 0.0006 deg
  Lat =    50.260797 +/- 0.0011 deg
  Ht  = 92004.17 +/- 84.66 m
End point on the trajectory:
  Lon =     0.260606 +/- 0.0008 deg
  Lat =    50.211697 +/- 0.0012 deg
  Ht  = 84899.94 +/- 80.01 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
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    92004.17,    84899.94,          0.016702,     21.74,     41.14,             102.71, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210929_043557_270_0923392.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   0.000000,   0.000000,    91526.34,    85033.42,          0.006146,      4.74,     14.81,              92.77, 1.0000,    True,    True, {"ff_name": "FF_UK003N_20210929_043559_974_0927232.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,     UK002N,       0,  0.007440, 2459486.691695041489, 100.06686,   0.06863,              150.69802,  35.04751,       150.70726,       35.04428,    100.06686,      +0.06863,     100.06068,       +0.06324,   909651.57,  4043385.57,  4952167.22,      50.260797,       +0.146735,   92004.17,  157877.56,       0.00,              414.64,   396.74,      0.00,           28716.92,     20.05,    -10.59,          29.62,  +3.98,  +2.99
  1,     UK002N,       1,  0.047804, 2459486.691695508547, 100.29150,  -0.29824,              150.57468,  34.62941,       150.50793,       34.65281,    100.29150,      -0.29824,     100.33675,       -0.25908,   908839.51,  4043538.35,  4951277.78,      50.255956,       +0.157983,   91301.63,  158168.48,    1214.04,             1628.69,   317.42,  30077.37,           28716.92,   -145.80,     76.79,         214.90,  +4.52,  +3.52
  2,     UK002N,       0,  0.088040, 2459486.691695974208, 100.57031,  -0.48772,              150.32387,  34.36314,       150.35687,       34.35161,    100.57031,      -0.48772,     100.54834,       -0.50711,   908212.52,  4043656.31,  4950591.04,      50.252217,       +0.166630,   90759.30,  158397.93,    2151.40,             2566.04,   -34.50,  23296.40,           28716.92,     72.30,    -38.22,         106.49,  +2.61,  +1.61
  3,     UK002N,       0,  0.128448, 2459486.691696442198, 100.85970,  -0.87862,              150.13831,  33.90167,       150.13245,       33.90372,    100.85970,      -0.87862,     100.86422,       -0.87516,   907278.70,  4043832.00,  4949568.24,      50.246645,       +0.179589,   89951.73,  158751.49,    3547.46,             3962.11,    66.79,  34549.28,           28716.92,    -12.94,      6.83,          19.01,  +2.05,  +1.05
  4,     UK002N,       0,  0.168776, 2459486.691696908791, 101.13738,  -1.17880,              149.93406,  33.52976,       149.94563,       33.52572,    101.13738,      -1.17880,     101.13019,       -1.18565,   906487.55,  4043980.84,  4948701.72,      50.241922,       +0.190544,   89267.67,  159059.14,    4730.23,             5144.87,   -42.66,  29328.62,           29243.14,     25.65,    -13.55,          37.62,  +1.84,  +0.83
  5,     UK002N,       0,  0.209156, 2459486.691697376315, 101.45375,  -1.53285,              149.70813,  33.09416,       149.73012,       33.08650,    101.45375,      -1.53285,     101.43955,       -1.54594,   905565.52,  4044154.31,  4947691.83,      50.236415,       +0.203338,   88470.62,  159428.67,    6108.68,             6523.32,    41.91,  34136.91,           30093.44,     49.09,    -25.93,          71.83,  +2.06,  +1.05
  6,     UK002N,       0,  0.249504, 2459486.691697842907, 101.71567,  -1.86280,              149.53677,  32.69831,       149.54125,       32.69675,    101.71567,      -1.86280,     101.71362,       -1.86547,   904744.07,  4044308.85,  4946792.10,      50.231507,       +0.214719,   87760.66,  159766.52,    7336.75,             7751.40,   -22.87,  30437.11,           30433.75,     10.07,     -5.32,          14.70,  +1.91,  +0.89
  7,     UK002N,       0,  0.289868, 2459486.691698310431, 102.01647,  -2.20082,              149.32653,  32.28216,       149.33979,       32.27754,    102.01647,      -2.20082,     102.00853,       -2.20877,   903857.44,  4044475.66,  4945820.99,      50.226207,       +0.227016,   86994.54,  160141.20,    8662.26,             9076.91,     9.28,  32838.93,           30776.06,     29.96,    -15.82,          43.63,  +2.16,  +1.14
  8,     UK002N,       0,  0.330216, 2459486.691698777489, 102.30342,  -2.52091,              149.12705,  31.88707,       149.15028,       31.87899,    102.30342,      -2.52091,     102.28869,       -2.53491,   903011.10,  4044634.89,  4944894.01,      50.221145,       +0.238747,   86263.37,  160507.89,    9927.55,            10342.19,   -18.29,  31359.33,           30974.65,     52.82,    -27.89,          76.76,  +2.25,  +1.22
  9,     UK002N,       0,  0.370548, 2459486.691699244082, 102.57319,  -2.82757,              148.94339,  31.50993,       148.97189,       31.50001,    102.57319,      -2.82757,     102.55491,       -2.84480,   902203.13,  4044786.90,  4944009.05,      50.216310,       +0.249939,   85565.48,  160866.11,   11135.48,            11550.12,  -102.71,  29949.60,           31019.84,     65.16,    -34.42,          94.49,  +2.56,  +1.53
 10,     UK002N,       0,  0.410868, 2459486.691699710675, 102.80755,  -3.13765,              148.80175,  31.14075,       148.80403,       31.13996,    102.80755,      -3.13765,     102.80768,       -3.13903,   901432.47,  4044931.89,  4943164.96,      50.211697,       +0.260606,   84899.94,  161215.11,   12287.61,            12702.26,  -242.53,  28574.77,           30933.44,      5.23,     -2.76,           7.57,  +2.95,  +1.91
  0,     UK003N,       1,  0.000000, 2459486.691694969311,  85.77325,   0.88552,              168.68071,  39.10760,       168.63536,       39.13279,     85.77325,      +0.88552,      85.80507,       +0.91484,   909940.43,  4043331.22,  4952483.60,      50.262519,       +0.142700,   92254.09,  144459.98,       0.00,               17.20,   237.68,      0.00,           30775.98,   -103.91,     33.19,         155.76,  +3.99,  +3.19
  1,     UK003N,       0,  0.040208, 2459486.691695434507,  86.13645,   0.54815,              168.27185,  38.72746,       168.27043,       38.72825,     86.13645,      +0.54815,      86.13762,       +0.54908,   909099.26,  4043489.48,  4951562.28,      50.257505,       +0.154358,   91526.34,  144545.13,    1257.55,             1240.35,   172.46,  31276.05,           30775.98,     -3.28,      1.05,           4.91,  +3.08,  +2.28
  2,     UK003N,       0,  0.080424, 2459486.691695900168,  86.45804,   0.21217,              167.91963,  38.35276,       167.93103,       38.34647,     86.45804,      +0.21217,      86.45033,       +0.20476,   908306.52,  4043638.62,  4950694.00,      50.252777,       +0.165335,   90840.60,  144635.11,    2442.71,             2425.51,    69.00,  29469.94,           30775.98,     26.29,     -8.42,          39.36,  +2.31,  +1.51
  3,     UK003N,       0,  0.120676, 2459486.691696365830,  86.78643,  -0.17222,              167.57075,  37.92813,       167.56600,       37.93075,     86.78643,      -0.17222,      86.79029,       -0.16912,   907444.51,  4043800.80,  4949749.85,      50.247634,       +0.177286,   90095.11,  144743.91,    3731.42,             3714.22,    67.93,  32016.05,           30775.98,    -10.99,      3.52,          16.45,  +1.92,  +1.12
  4,     UK003N,       0,  0.160892, 2459486.691696831491,  87.11721,  -0.51222,              167.21516,  37.54612,       167.22735,       37.53943,     87.11721,      -0.51222,      87.10924,       -0.52019,   906633.87,  4043953.31,  4948861.98,      50.242796,       +0.188514,   89394.18,  144856.35,    4943.32,             4926.12,    -8.79,  30134.82,           30728.33,     28.30,     -9.06,          42.32,  +1.85,  +1.05
  5,     UK003N,       0,  0.201152, 2459486.691697297618,  87.45099,  -0.90082,              166.86820,  37.11450,       166.86541,       37.11603,     87.45099,      -0.90082,      87.45382,       -0.89899,   905757.64,  4044118.16,  4947902.26,      50.237563,       +0.200665,   88636.69,  144989.19,    6253.29,             6236.09,    11.14,  32537.75,           30973.44,     -6.51,      2.08,           9.72,  +1.78,  +0.97
  6,     UK003N,       0,  0.241380, 2459486.691697763279,  87.77295,  -1.25050,              166.53277,  36.72209,       166.53325,       36.72184,     87.77295,      -1.25050,      87.77363,       -1.25082,   904942.27,  4044271.56,  4947009.19,      50.232692,       +0.211961,   87931.95,  145123.04,    7472.28,             7455.08,   -58.88,  30301.89,           30988.99,      1.11,     -0.35,           1.65,  +1.60,  +0.79
  7,     UK003N,       0,  0.281644, 2459486.691698228940,  88.12771,  -1.65045,              166.16998,  36.27412,       166.16334,       36.27774,     88.12771,      -1.65045,      88.13364,       -1.64607,   904024.25,  4044444.28,  4946003.69,      50.227204,       +0.224700,   87138.66,  145285.95,    8844.73,             8827.53,    23.41,  34086.41,           31253.82,    -15.61,      4.99,          23.26,  +1.65,  +0.84
  8,     UK003N,       0,  0.321880, 2459486.691698694602,  88.45595,  -2.00975,              165.83613,  35.86927,       165.83055,       35.87230,     88.45595,      -2.00975,      88.46130,       -2.00606,   903186.16,  4044601.95,  4945085.75,      50.222192,       +0.236315,   86414.60,  145445.47,   10097.67,            10080.47,   -12.92,  31139.75,           31369.76,    -13.16,      4.21,          19.60,  +1.90,  +1.09
  9,     UK003N,       0,  0.362104, 2459486.691699160263,  88.77073,  -2.35151,              165.51880,  35.48288,       165.51616,       35.48431,     88.77073,      -2.35151,      88.77414,       -2.34976,   902384.06,  4044752.86,  4944207.22,      50.217393,       +0.247425,   85721.75,  145607.84,   11296.82,            11279.62,  -102.65,  29811.79,           31343.83,     -6.25,      2.00,           9.29,  +2.16,  +1.34
 10,     UK003N,       0,  0.402328, 2459486.691699625924,  89.08020,  -2.69277,              165.21100,  35.09697,       165.20750,       35.09886,     89.08020,      -2.69277,      89.08441,       -2.69044,   901587.04,  4044902.81,  4943334.26,      50.212622,       +0.258463,   85033.42,  145778.62,   12488.37,            12471.17,  -199.98,  29622.87,           31251.48,     -8.31,      2.66,          12.34,  +3.15,  +2.33

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.