Orbital Analysis for matched events on 20210810_000608.701_UK

Summary for Event
-----------------
shower ID 26 NDA
Lg 343.89° Bg 1.92° Vg 38.20km/s
mass 0.02172g, abs. mag 0.4
Path Details
------------
start -0.24° 52.11° 92.49km
end   -0.29° 52.16° 88.46km

Orbit Details
-------------
Semimajor axis 2.15A.U., eccentricity 0.96, inclination 5.94°, Period 3.16Y, LA Sun 137.31°, last Perihelion 2018-07-15

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: 2459436.504267379176
Time: 2021-08-10 00:06:08.701561 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000C and UK002F
 Convergence angle = 12.88909 deg
 R.A. = 344.62598  Dec =  -3.14615 deg

Best intersection: Stations UK000C and UK002F with Qconv = 12.89 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3050214.57 +/- 33.53 m
 Y =  -2559840.84 +/- 50.52 m
 Z =   5083415.32 +/- 97.48 m
 Vx =    38241.56 +/- 869.37 m/s
 Vy =   -10744.28 +/- 283.30 m/s
 Vz =    -2215.69 +/- 878.70 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.162152e+03, +5.946894e+00, +6.550397e+02, +4.283570e+03, +2.003186e+03, +7.414582e+03
+5.946894e+00, +2.280659e+03, +4.173385e+03, +2.666306e+04, +8.059153e+03, +2.630680e+04
+6.550397e+02, +4.173385e+03, +8.468555e+03, +5.045630e+04, +1.368665e+04, +5.167381e+04
+4.283570e+03, +2.666306e+04, +5.045630e+04, +6.792718e+05, +1.995567e+05, +6.636408e+05
+2.003186e+03, +8.059153e+03, +1.368665e+04, +1.995567e+05, +8.545378e+04, +2.196343e+05
+7.414582e+03, +2.630680e+04, +5.167381e+04, +6.636408e+05, +2.196343e+05, +6.942402e+05

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: 0.000919 s

Reference point on the trajectory:
  Time: 2021-08-10 00:06:08.701561 UTC
  Lon     = +-0.238145 +/- 0.0006 deg
  Lat     = +52.111047 +/- 0.0007 deg
  Lat geo = +51.927042 +/- 0.0008 deg
  Ht      =   92469.96 +/- 63.79 m

  JD dynamic   = 2459436.505068120081 
  LST apparent = 319.9955148028 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 344.30686 +/- 0.7320 deg
  Dec       =  -3.19263 +/- 1.3251 deg
  Azimuth   = 151.34799 +/- 1.2759 deg
  Elevation = +30.98750 +/- 1.0513 deg
  Vavg      =  37.70833 +/- 0.2232 km/s
  Vinit     =  39.78399 +/- 0.7222 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 344.68740 +/- 0.7320 deg
  Dec       =  -3.18300 +/- 1.3251 deg
  Azimuth   = 150.92166 +/- 1.2759 deg
  Elevation = +30.88388 +/- 1.0513 deg
  Vavg      =  37.82857 +/- 0.2232 km/s
  Vinit     =  39.90423 +/- 0.7222 km/s
Radiant (geocentric, J2000):
  R.A.   = 344.41784 +/- 0.7254 deg
  Dec    =  -4.56143 +/- 1.4017 deg
  Vg     =  38.20096 +/- 0.7524 km/s
  Vinf   =  39.78399 +/- 0.7222 km/s
  Zc     =  58.85106 +/- 1.0494 deg
  Zg     =  60.16307 +/- 1.1253 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 343.89105 +/- 1.1997 deg
  Bg     =  +1.92201 +/- 1.0256 deg
  Vh     =  36.58590 +/- 0.1739 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 297.64185 +/- 1.6757 deg
  Bh     =  +2.00866 +/- 1.1283 deg
  Vh_x   = -16.96335 +/- 0.9056 km/s
  Vh_y   =  32.39025 +/- 0.5887 km/s
  Vh_z   =  -1.28235 +/- 0.7124 km/s
Orbit:
  La Sun = 137.313233 +/- -0.0000 deg
  a      =   2.154970 +/- 0.0629 AU
  e      =   0.957955 +/- 0.0064
  i      =   5.937602 +/- 4.0258 deg
  peri   = 329.417259 +/- 2.4838 deg
  node   = 137.349480 +/- 0.0387 deg
  Pi     = 106.766739 +/- 2.4512 deg
  q      =   0.090606 +/- 0.0137 AU
  f      = 210.546988 +/- 2.4513 deg
  M      = 349.297872 +/- 0.5142 deg
  Q      =   4.219333 +/- 0.1227 AU
  n      =   0.311561 +/- 0.0146 deg/day
  T      =   3.163460 +/- 0.1367 years
  Last perihelion JD = 2458315.381286 (2018-07-15 21:09:03.152314) +/- 49.8635 days
  Tj     =   2.782285 +/- 0.0703
Shower association:
  IAU No.  =   26
  IAU code =  NDA

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.785473e-05, -7.925794e-05, +9.684633e-03, -3.585642e-06, +2.445973e-04, +3.722476e-04
q   , -7.925794e-05, +1.723884e-04, -1.422227e-01, +7.581478e-06, -5.402687e-04, -8.259829e-04
Tp  , +9.684633e-03, -1.422227e-01, +2.352420e+03, -6.793989e-04, +6.021058e-01, +1.017888e+00
node, -3.585642e-06, +7.581478e-06, -6.793989e-04, +4.431904e-07, -2.321181e-05, -3.325808e-05
peri, +2.445973e-04, -5.402687e-04, +6.021058e-01, -2.321181e-05, +1.704877e-03, +2.623054e-03
i   , +3.722476e-04, -8.259829e-04, +1.017888e+00, -3.325808e-05, +2.623054e-03, +4.266266e-03

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: UK000C
  Avg. res. = 3.875e-06 s
  Stddev    = 1.97e-03 s

Begin point on the trajectory:
  Lon =    -0.237945 +/- 0.0006 deg
  Lat =    52.110821 +/- 0.0007 deg
  Ht  = 92487.41 +/- 63.73 m
End point on the trajectory:
  Lon =    -0.285202 +/- 0.0014 deg
  Lat =    52.163014 +/- 0.0004 deg
  Ht  = 88460.20 +/- 126.72 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
    UK000C,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,    92487.41,    89303.54,          0.012734,     28.46,     10.94,              92.52, 1.0000,    True,    True, {"ff_name": "FF_UK000C_20210810_000603_085_0343296.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.808392,  25.834974,    92290.03,    88460.20,          0.005851,     12.13,      1.75,              59.39, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210810_000605_998_0320000.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,     UK000C,       0,  0.000000, 2459436.504267379176,  76.56818,  73.77293,               19.57063,  42.02066,        19.55646,       42.02953,     76.56818,     +73.77293,      76.56928,      +73.78670,  3050247.15, -2559850.00,  5083413.43,      52.110821,       -0.237945,   92487.41,  136863.68,       0.00,               33.89,   346.69,      0.00,           37676.33,     11.79,     30.70,          49.56,  +3.70,  +3.02
  1,     UK000C,       0,  0.040268, 2459436.504267845303,  78.68994,  73.75909,               19.04947,  41.57229,        19.04118,       41.57745,     78.68994,     +73.75909,      78.69177,      +73.76714,  3048886.13, -2559467.61,  5083492.29,      52.120258,       -0.246490,   91758.50,  136959.40,    1415.91,             1382.02,    92.80,  35162.20,           37676.33,      6.91,     17.99,          29.02,  +1.97,  +1.29
  2,     UK000C,       0,  0.080548, 2459436.504268311430,  80.87859,  73.71778,               18.52239,  41.10254,        18.51540,       41.10687,     80.87859,     +73.71778,      80.88123,      +73.72457,  3047474.59, -2559071.02,  5083574.07,      52.130047,       -0.255352,   91002.77,  137074.25,    2884.39,             2850.49,   -41.22,  36456.68,           37676.33,      5.85,     15.23,          24.55,  +1.51,  +0.83
  3,     UK000C,       0,  0.120852, 2459436.504268778022,  83.37656,  73.66229,               17.90828,  40.57408,        17.92328,       40.56484,     83.37656,     +73.66229,      83.36998,      +73.64775,  3045854.72, -2558615.91,  5083667.92,      52.141282,       -0.265504,   90135.78,  137225.83,    4569.59,             4535.70,    40.53,  41812.41,           37676.33,    -12.62,    -32.79,          52.81,  +2.04,  +1.35
  4,     UK000C,       0,  0.161188, 2459436.504269244615,  85.71835,  73.53029,               17.38221,  40.03208,        17.36471,       40.04280,     85.71835,     +73.53029,      85.72962,      +73.54719,  3044299.22, -2558178.88,  5083758.05,      52.152073,       -0.275267,   89303.54,  137390.68,    6187.83,             6153.94,    54.04,  40118.85,           38538.58,     14.76,     38.42,          61.79,  +2.78,  +2.09
  0,     UK002F,       0,  0.009305, 2459436.504267476033,  23.16485,  47.11462,               70.28987,  49.38041,        70.29021,       49.37957,     23.16485,     +47.11462,      23.16577,      +47.11400,  3049878.65, -2559746.46,  5083434.78,      52.113376,       -0.240247,   92290.03,  120851.79,       0.00,              349.47,   292.07,      0.00,           37730.19,     -0.26,     -1.81,           3.13,  +2.12,  +1.71
  1,     UK002F,       0,  0.049473, 2459436.504267940763,  23.72511,  47.50426,               69.47649,  49.25786,        69.48196,       49.24466,     23.72511,     +47.50426,      23.73930,      +47.49438,  3048623.38, -2559393.79,  5083507.51,      52.122080,       -0.248142,   91617.81,  120212.45,    1305.90,             1655.37,    -0.07,  32510.87,           37730.19,     -4.10,    -28.39,          49.22,  +1.11,  +0.71
  2,     UK002F,       0,  0.089725, 2459436.504268406890,  24.51410,  47.99309,               68.41776,  49.05548,        68.41761,       49.05582,     24.51410,     +47.99309,      24.51410,      +47.99334,  3046978.28, -2558931.58,  5083602.83,      52.133489,       -0.258445,   90737.11,  119393.31,    3017.35,             3366.82,   110.00,  42518.51,           37730.19,      0.11,      0.73,           1.27,  +1.27,  +0.89
  3,     UK002F,       0,  0.129933, 2459436.504268872086,  25.20030,  48.42259,               67.49885,  48.88311,        67.49833,       48.88425,     25.20030,     +48.42259,      25.19962,      +48.42347,  3045565.64, -2558534.69,  5083684.67,      52.143288,       -0.267321,   89981.09,  118704.22,    4486.98,             4836.45,   -20.01,  36550.55,           37730.19,      0.35,      2.46,           4.32,  +1.35,  +0.98
  4,     UK002F,       0,  0.170169, 2459436.504269337747,  25.98055,  48.89498,               66.48324,  48.68076,        66.48166,       48.68409,     25.98055,     +48.89498,      25.97770,      +48.89758,  3044010.08, -2558097.64,  5083774.80,      52.154079,       -0.277085,   89148.87,  117962.79,    6105.27,             6454.74,    -2.47,  40220.01,           38270.13,      1.03,      7.11,          12.56,  +1.60,  +1.24
  5,     UK002F,       0,  0.210365, 2459436.504269802943,  26.63703,  49.29258,               65.63531,  48.51226,        65.63624,       48.51036,     26.63703,     +49.29258,      26.63994,      +49.29108,  3042722.48, -2557735.88,  5083849.40,      52.163014,       -0.285202,   88460.20,  117361.30,    7444.80,             7794.27,  -262.09,  33325.05,           37718.31,     -0.58,     -4.05,           7.19,  +2.94,  +2.59
  6,     UK002F,       1,  0.250625, 2459436.504270269070,  27.39956,  49.63556,               64.81210,  48.25858,        64.77771,       48.32628,     27.39956,     +49.63556,      27.32823,      +49.68952,  3041418.98, -2557369.65,  5083924.93,      52.172060,       -0.293422,   87763.22,  116765.05,    8800.89,             9150.36,  -507.71,  33683.17,           37088.36,     20.64,    144.17,         257.26,  +5.38,  +5.04

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.