Orbital Analysis for matched events on 20211103_035217.103_UK

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Summary for Event
-----------------
shower ID 13 LEO
Lg 136.41° Bg 15.16° Vg 67.55km/s
mass 0.01204g, abs. mag -0.1
best visual mag 0.7
Path Details
------------
start -3.08° 53.80° 107.83km
end   -3.20° 53.82° 98.05km

Orbit Details
-------------
Semimajor axis 3.94A.U., eccentricity 0.76, inclination 153.11°, Period 7.83Y, LA Sun 220.65°, last Perihelion 2021-10-18

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: 2459521.661309063900
Time: 2021-11-03 03:52:17.103121 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK001L and UK002X
 Convergence angle = 69.73528 deg
 R.A. = 144.26587  Dec = +30.17129 deg

Best intersection: Stations UK001L and UK002X with Qconv = 69.74 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   -509531.69 +/- 28.33 m
 Y =   3804831.85 +/- 39.48 m
 Z =   5210838.73 +/- 28.15 m
 Vx =   -47863.45 +/- 170.30 m/s
 Vy =    34552.10 +/- 399.91 m/s
 Vz =    34666.78 +/- 400.41 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+8.751003e+02, -6.697102e+02, -8.341917e+01, +2.624716e+03, -8.717334e+02, +1.907239e+03
-6.697102e+02, +1.673849e+03, -2.416712e+02, +5.039282e+03, +2.949507e+03, -7.128677e+03
-8.341917e+01, -2.416712e+02, +8.431827e+02, -2.932917e+03, +4.133953e+02, +6.885717e+03
+2.624716e+03, +5.039282e+03, -2.932917e+03, +1.077626e+05, -3.008725e+04, -7.663574e+04
-8.717334e+02, +2.949507e+03, +4.133953e+02, -3.008725e+04, +4.833873e+04, +2.319984e+04
+1.907239e+03, -7.128677e+03, +6.885717e+03, -7.663574e+04, +2.319984e+04, +1.166414e+05

Timing offsets (from input data):
    UK001L: 0.000373 s
    UK002X: 0.000000 s
    UK003Y: 0.000000 s

Reference point on the trajectory:
  Time: 2021-11-03 03:52:17.103121 UTC
  Lon     = +-3.075386 +/- 0.0004 deg
  Lat     = +53.801656 +/- 0.0004 deg
  Lat geo = +53.621119 +/- 0.0004 deg
  Ht      =  107883.41 +/- 29.95 m

  JD dynamic   = 2459521.662109804805 
  LST apparent = 97.6274986746 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 144.17489 +/- 0.1899 deg
  Dec       = +30.42383 +/- 0.1829 deg
  Azimuth   = 106.00134 +/- 0.3029 deg
  Elevation = +49.36676 +/- 0.1464 deg
  Vavg      =  64.13601 +/- 0.0865 km/s
  Vinit     =  68.45833 +/- 0.4185 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 144.36111 +/- 0.1899 deg
  Dec       = +30.33779 +/- 0.1829 deg
  Azimuth   = 105.90276 +/- 0.3029 deg
  Elevation = +49.19625 +/- 0.1464 deg
  Vavg      =  64.31159 +/- 0.0865 km/s
  Vinit     =  68.63391 +/- 0.4185 km/s
Radiant (geocentric, J2000):
  R.A.   = 144.06967 +/- 0.1899 deg
  Dec    = +30.31082 +/- 0.1852 deg
  Vg     =  67.55274 +/- 0.4242 km/s
  Vinf   =  68.45833 +/- 0.4185 km/s
  Zc     =  40.58378 +/- 0.1463 deg
  Zg     =  40.86589 +/- 0.1479 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 136.40677 +/- 0.1534 deg
  Bg     = +15.16235 +/- 0.1981 deg
  Vh     =  39.53932 +/- 0.4406 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 140.58917 +/- 0.2772 deg
  Bh     = +26.54295 +/- 0.2943 deg
  Vh_x   =  27.32878 +/- 0.3227 km/s
  Vh_y   = -22.45677 +/- 0.2746 km/s
  Vh_z   = -17.66888 +/- 0.2914 km/s
Orbit:
  La Sun = 220.647867 +/- -0.0000 deg
  a      =   3.942396 +/- 0.4034 AU
  e      =   0.755328 +/- 0.0370
  i      = 153.109190 +/- 0.2990 deg
  peri   = 159.321548 +/- 0.8445 deg
  node   = 220.651220 +/- 0.0000 deg
  Pi     =  19.972767 +/- 0.8445 deg
  q      =   0.964595 +/- 0.0016 AU
  f      =  20.680246 +/- 0.8445 deg
  M      =   1.925065 +/- 0.6265 deg
  Q      =   6.920197 +/- 0.8059 AU
  n      =   0.125911 +/- 0.0321 deg/day
  T      =   7.827823 +/- 1.1063 years
  Last perihelion JD = 2459506.373019 (2021-10-18 20:57:08.853875) +/- 0.7507 days
  Tj     =   0.302650 +/- 0.2113
Shower association:
  IAU No.  =   13
  IAU code =  LEO

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (deg) ,   peri (deg) ,    i (deg)
e   , +1.413737e-03, +2.885080e-05, +2.464460e-02, -1.622812e-07, +2.442609e-02, -2.284025e-03
q   , +2.885080e-05, +2.850534e-06, +1.105442e-03, -2.550797e-09, +1.361586e-03, -3.442458e-05
Tp  , +2.464460e-02, +1.105442e-03, +5.902126e-01, -2.776757e-06, +6.558282e-01, -3.874662e-02
node, -1.622812e-07, -2.550797e-09, -2.776757e-06, +4.613471e-10, -2.620198e-06, +6.668769e-06
peri, +2.442609e-02, +1.361586e-03, +6.558282e-01, -2.620198e-06, +7.515163e-01, -3.635501e-02
i   , -2.284025e-03, -3.442458e-05, -3.874662e-02, +6.668769e-06, -3.635501e-02, +9.640849e-02

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: UK002X
  Avg. res. = 3.218e-05 s
  Stddev    = 5.67e-03 s

Begin point on the trajectory:
  Lon =    -3.075984 +/- 0.0002 deg
  Lat =    53.801758 +/- 0.0004 deg
  Ht  = 107834.86 +/- 22.84 m
End point on the trajectory:
  Lon =    -3.197546 +/- 0.0002 deg
  Lat =    53.822180 +/- 0.0002 deg
  Ht  = 98053.92 +/- 16.85 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
    UK001L,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107437.46,    99587.15,          0.006450,     28.98,      9.19,              96.43, 1.0000,    True,    True, {"ff_name": "FF_UK001L_20211103_035215_497_0962304.fits"}
    UK002X,   False,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   107834.86,    98053.92,          0.009469,      1.37,     27.54,              51.81, 1.0000,    True,    True, {"ff_name": "FF_UK002X_20211103_035215_886_0958208.fits"}
    UK003Y,    True,    -3.059440,    54.994170,   18.00,   0.000000,   0.000000,   107645.57,    99317.46,          0.051011,       nan,       nan,              51.81, 0.0000,    True,    True, {"ff_name": "FF_UK003Y_20211103_035215_181_0958976.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,     UK001L,       0,  0.006201, 2459521.661309131421, 326.95289,  53.24580,              331.47053,  22.40081,       331.46389,       22.40396,    326.95289,     +53.24580,     326.96443,      +53.24551,  -509120.84,  3804535.26,  5210541.16,      53.802588,       -3.080902,  107437.46,  269163.41,       0.00,              587.63,   482.91,      0.00,           65537.89,     -9.80,     30.89,          24.83,  +5.53,  +3.38
  1,     UK001L,       0,  0.046565, 2459521.661309598479, 326.93747,  52.76868,              331.22579,  21.98084,       331.22793,       21.97983,    326.93747,     +52.76868,     326.93399,      +52.76878,  -507547.43,  3803399.43,  5209401.56,      53.806156,       -3.102107,  105729.84,  269424.65,    2250.43,             2838.06,   -29.92,  55753.37,           65537.89,      3.17,     -9.99,           8.02,  +3.15,  +1.00
  2,     UK001L,       0,  0.087145, 2459521.661310068332, 326.88028,  52.01572,              330.86181,  21.30725,       330.85888,       21.30864,    326.88028,     +52.01572,     326.88561,      +52.01559,  -505052.37,  3801598.28,  5207594.43,      53.811810,       -3.135667,  103022.63,  269874.04,    5819.07,             6406.70,   760.69,  87940.90,           65537.89,     -4.35,     13.73,          11.00,  +2.17,  +0.01
  3,     UK001L,       0,  0.127441, 2459521.661310534459, 326.85038,  51.63158,              330.67827,  20.96288,       330.67115,       20.96624,    326.85038,     +51.63158,     326.86289,      +51.63128,  -503778.26,  3800678.51,  5206671.61,      53.814696,       -3.152900,  101640.48,  270124.06,    7641.41,             8229.04,  -175.57,  45223.77,           65537.89,    -10.60,     33.44,          26.79,  +2.49,  +0.33
  4,     UK001L,       0,  0.167877, 2459521.661311002448, 326.81279,  51.06264,              330.40458,  20.45424,       330.39550,       20.45853,    326.81279,     +51.06264,     326.82864,      +51.06225,  -501885.07,  3799311.84,  5205300.40,      53.818981,       -3.178443,   99587.15,  270515.40,   10349.21,            10936.84,  -235.95,  66965.15,           64546.55,    -13.60,     42.87,          34.30,  +3.26,  +1.10
  0,     UK002X,       0,  0.000000, 2459521.661309063900,  97.26960,   3.25262,              180.47533,  38.25756,       180.47054,       38.25259,     97.26960,      +3.25262,      97.27334,       +3.24764,  -509486.96,  3804799.57,  5210806.34,      53.801758,       -3.075984,  107834.86,  171873.32,       0.00,               63.97,   383.74,      0.00,           67282.75,     18.65,     -0.93,          22.41,  +3.87,  +2.69
  1,     UK002X,       0,  0.040120, 2459521.661309528165,  96.76990,   2.87107,              181.10526,  37.87207,       181.10661,       37.87345,     96.76990,      +2.87107,      96.76901,       +2.87247,  -507835.23,  3803607.20,  5209610.01,      53.805504,       -3.098233,  106042.17,  170426.20,    2362.45,             2426.42,    -0.36,  58884.52,           67282.75,     -5.20,      0.26,           6.30,  +1.45,  +0.29
  2,     UK002X,       0,  0.080252, 2459521.661309992895,  96.20391,   2.45056,              181.81157,  37.44334,       181.81216,       37.44394,     96.20391,      +2.45056,      96.20379,       +2.45117,  -506014.12,  3802292.56,  5208291.01,      53.809631,       -3.122764,  104066.06,  168854.80,    4967.15,             5031.12,  -143.02,  64903.38,           67282.75,     -2.24,      0.11,           2.74,  +1.29,  +0.15
  3,     UK002X,       0,  0.120400, 2459521.661310457624,  95.49304,   1.94216,              182.68854,  36.91905,       182.67503,       36.90545,     95.49304,      +1.94216,      95.50399,       +1.92828,  -503800.97,  3800694.91,  5206688.06,      53.814644,       -3.152568,  101665.12,  166980.10,    8132.58,             8196.55,   273.94,  78844.01,           67282.75,     50.55,     -2.51,          62.53,  +0.92,  -0.19
  4,     UK002X,       0,  0.160536, 2459521.661310921889,  94.93656,   1.52234,              183.36611,  36.48256,       183.35525,       36.47172,     94.93656,      +1.52234,      94.94560,       +1.51121,  -502071.20,  3799446.21,  5205435.22,      53.818560,       -3.175918,   99789.01,  165542.49,   10606.64,            10670.61,     0.36,  61641.95,           67231.64,     40.18,     -2.00,          50.12,  +1.26,  +0.17
  5,     UK002X,       0,  0.200672, 2459521.661311386619,  94.41930,   1.11913,              183.98868,  36.06059,       183.98839,       36.06031,     94.41930,      +1.11913,      94.42036,       +1.11884,  -500471.14,  3798291.14,  5204276.32,      53.822180,       -3.197546,   98053.92,  164234.88,   12895.18,            12959.15,  -458.75,  57019.65,           65758.14,      1.05,     -0.05,           1.32,  +3.53,  +2.45
  0,     UK003Y,       1,  0.008253, 2459521.661309159361,  97.25461,   3.16245,              180.49382,  38.16732,       180.53798,       38.21302,     97.25461,      +3.16245,      97.22012,       +3.20834,  -509312.57,  3804673.67,  5210680.03,      53.802154,       -3.078349,  107645.57,  171719.57,       0.00,              313.41,    68.20,      0.00,           68662.39,   -171.78,      8.84,         206.61,  +2.28,  +1.11
  1,     UK003Y,       1,  0.048833, 2459521.661309629213,  96.64309,   2.72484,              181.26334,  37.72434,       181.29668,       37.75849,     96.64309,      +2.72484,      96.61734,       +2.75933,  -507342.72,  3803251.66,  5209253.29,      53.806620,       -3.104856,  105507.70,  169998.69,    2817.44,             3130.85,   107.60,  69429.32,           68662.39,   -127.85,      6.53,         155.33,  +1.38,  +0.23
  2,     UK003Y,       1,  0.089449, 2459521.661310099065,  96.01438,   2.24626,              182.04475,  37.23542,       182.08421,       37.27541,     96.01438,      +2.24626,      95.98415,       +2.28689,  -505313.32,  3801786.66,  5207783.43,      53.811219,       -3.132184,  103305.73,  168256.93,    5720.06,             6033.46,   229.71,  71464.88,           68662.39,   -149.14,      7.63,         183.07,  +1.04,  -0.09
  3,     UK003Y,       1,  0.130013, 2459521.661310568452,  95.43378,   1.81629,              182.75826,  36.79161,       182.79578,       36.82928,     95.43378,      +1.81629,      95.40532,       +1.85478,  -503493.90,  3800473.24,  5206465.65,      53.815340,       -3.156722,  101332.04,  166723.12,    8322.35,             8635.75,    55.06,  64152.68,           68662.39,   -140.02,      7.15,         173.46,  +0.74,  -0.37
  4,     UK003Y,       1,  0.170601, 2459521.661311038304,  94.83572,   1.36185,              183.48445,  36.31871,       183.52687,       36.36089,     94.83572,      +1.36185,      94.80375,       +1.40521,  -501636.38,  3799132.31,  5205120.28,      53.819544,       -3.181791,   99317.46,  165185.00,   10979.13,            11292.54,   -66.74,  65457.36,           67664.15,   -156.31,      8.00,         195.44,  +1.09,  +0.00

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.