Orbital Analysis for matched events on 20210816_234114.776_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 351.20° Bg 55.68° Vg 36.91km/s
mass 0.03164g, abs. mag 0.2
Path Details
------------
start 1.95° 53.07° 103.24km
end   1.94° 53.08° 93.66km

Orbit Details
-------------
Semimajor axis 12.46A.U., eccentricity 0.94, inclination 56.86°, Period 43.96Y, LA Sun 144.02°, last Perihelion 1977-10-05

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: 2459443.486976584885
Time: 2021-08-16 23:41:14.776934 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 24.35925 deg
 R.A. = 325.78098  Dec = +46.57992 deg

Best intersection: Stations UK002K and UK0032 with Qconv = 24.36 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3109836.15 +/- 53.13 m
 Y =  -2357273.55 +/- 25.43 m
 Z =   5158002.11 +/- 31.30 m
 Vx =    21432.44 +/- 389.62 m/s
 Vy =   -15580.11 +/- 182.41 m/s
 Vz =    27997.29 +/- 257.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.037559e+03, +1.307293e+03, +1.552837e+03, +1.873452e+04, +8.877813e+03, +9.635046e+03
+1.307293e+03, +7.087418e+02, +6.031394e+02, +9.388451e+03, +4.434142e+03, +4.772312e+03
+1.552837e+03, +6.031394e+02, +1.036185e+03, +8.852686e+03, +4.699409e+03, +5.380362e+03
+1.873452e+04, +9.388451e+03, +8.852686e+03, +1.689777e+05, +8.009342e+04, +8.390218e+04
+8.877813e+03, +4.434142e+03, +4.699409e+03, +8.009342e+04, +3.955408e+04, +4.229586e+04
+9.635046e+03, +4.772312e+03, +5.380362e+03, +8.390218e+04, +4.229586e+04, +4.580878e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: -0.000037 s

Reference point on the trajectory:
  Time: 2021-08-16 23:41:14.776934 UTC
  Lon     = ++1.946283 +/- 0.0007 deg
  Lat     = +53.072742 +/- 0.0001 deg
  Lat geo = +52.890691 +/- 0.0001 deg
  Ht      =  103271.97 +/- 41.68 m

  JD dynamic   = 2459443.487777325790 
  LST apparent = 322.8376649907 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 323.98507 +/- 0.8075 deg
  Dec       = +46.57706 +/- 0.0932 deg
  Azimuth   = 173.05612 +/- 4.4956 deg
  Elevation = +83.46251 +/- 0.1836 deg
  Vavg      =  38.79819 +/- 0.2777 km/s
  Vinit     =  38.54786 +/- 0.2954 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 324.60011 +/- 0.8075 deg
  Dec       = +46.56926 +/- 0.0932 deg
  Azimuth   = 169.40209 +/- 4.4956 deg
  Elevation = +83.39841 +/- 0.1836 deg
  Vavg      =  38.80316 +/- 0.2777 km/s
  Vinit     =  38.55282 +/- 0.2954 km/s
Radiant (geocentric, J2000):
  R.A.   = 323.80425 +/- 0.8200 deg
  Dec    = +46.34287 +/- 0.0949 deg
  Vg     =  36.91455 +/- 0.3081 km/s
  Vinf   =  38.54786 +/- 0.2954 km/s
  Zc     =   6.35681 +/- 0.1870 deg
  Zg     =   6.49454 +/- 0.1891 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 351.19697 +/- 0.7902 deg
  Bg     = +55.68453 +/- 0.3537 deg
  Vh     =  41.00188 +/- 0.0282 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 277.46126 +/- 0.9135 deg
  Bh     = +48.04006 +/- 0.3109 deg
  Vh_x   =  -3.55990 +/- 0.3979 km/s
  Vh_y   =  27.18218 +/- 0.2490 km/s
  Vh_z   = -30.48951 +/- 0.1267 km/s
Orbit:
  La Sun = 144.018789 +/- -0.0000 deg
  a      =  12.455387 +/- 0.3594 AU
  e      =   0.936485 +/- 0.0017
  i      =  56.860853 +/- 0.6853 deg
  peri   = 236.774614 +/- 0.6961 deg
  node   = 144.021792 +/- 0.0001 deg
  Pi     =  20.796406 +/- 0.6961 deg
  q      =   0.791105 +/- 0.0049 AU
  f      = 303.221087 +/- 0.6961 deg
  M      = 359.223536 +/- 0.0456 deg
  Q      =  24.119670 +/- 0.7145 AU
  n      =   0.022422 +/- 0.0011 deg/day
  T      =  43.957855 +/- 1.8493 years
  Last perihelion JD = 2443422.231542 (1977-10-05 17:33:25.241762) +/- 675.7109 days
  Tj     =   1.011035 +/- 0.0039
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.014659e-06, +7.439770e-06, -1.211390e+00, +1.750748e-09, -1.887271e-05, -2.006297e-05
q   , +7.439770e-06, +2.570716e-05, -3.194877e+00, +5.268725e-09, -6.418923e-05, -6.052451e-05
Tp  , -1.211390e+00, -3.194877e+00, +4.930065e+05, -7.287082e-04, +8.076620e+00, +8.353160e+00
node, +1.750748e-09, +5.268725e-09, -7.287082e-04, +1.171356e-12, -1.323149e-08, -1.345036e-08
peri, -1.887271e-05, -6.418923e-05, +8.076620e+00, -1.323149e-08, +1.603801e-04, +1.519766e-04
i   , -2.006297e-05, -6.052451e-05, +8.353160e+00, -1.345036e-08, +1.519766e-04, +1.544574e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 48.750660
 a2 = 0.000000

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.063e-05 s
  Stddev    = 3.26e-03 s

Begin point on the trajectory:
  Lon =     1.946277 +/- 0.0007 deg
  Lat =    53.072772 +/- 0.0001 deg
  Ht  = 103242.86 +/- 33.66 m
End point on the trajectory:
  Lon =     1.943259 +/- 0.0009 deg
  Lat =    53.082424 +/- 0.0001 deg
  Ht  = 93661.12 +/- 40.75 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
    UK002K,   False,    -0.382860,    53.537770,   34.00,  37.796447,   0.000000,   103242.86,    93923.68,          0.005587,     12.23,     14.12,              53.14, 1.0000,    True,    True, {"ff_name": "FF_UK002K_20210816_234105_947_0322048.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,  63.168126,   0.000000,   103001.17,    93661.12,          0.006896,      8.46,     17.98,              50.19, 1.0000,    True,    True, {"ff_name": "FF_UK0032_20210816_234106_795_0327680.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,     UK002K,       0,  0.000000, 2459443.486976584885,  18.20621,  15.37406,              107.49201,  31.29467,       107.49770,       31.29406,     18.20621,     +15.37406,      18.20250,      +15.37070,  3109819.86, -2357261.71,  5157980.83,      53.072772,       +1.946277,  103242.86,  194592.38,       0.00,               29.30,    28.82,      0.00,           39365.58,     12.59,     10.90,          17.65,  +4.26,  +2.81
  1,     UK002K,       0,  0.040228, 2459443.486977050547,  18.40477,  15.17383,              107.44839,  31.02010,       107.45822,       31.01903,     18.40477,     +15.17383,      18.39852,      +15.16802,  3109175.49, -2356793.29,  5157139.09,      53.073930,       +1.945874,  102091.45,  193913.31,    1158.95,             1188.25,  -362.94,  28809.52,           39365.58,     21.73,     18.81,          30.57,  +2.62,  +1.18
  2,     UK002K,       0,  0.080588, 2459443.486977517605,  18.70210,  14.85243,              107.39739,  30.59132,       107.39672,       30.59139,     18.70210,     +14.85243,      18.70288,      +14.85283,  3108184.53, -2356072.92,  5155844.60,      53.075712,       +1.945345,  100320.72,  192882.81,    2941.25,             2970.55,  -136.42,  44160.15,           39365.58,     -1.49,     -1.29,           2.11,  +2.23,  +0.80
  3,     UK002K,       0,  0.120940, 2459443.486977984663,  19.00273,  14.53743,              107.33846,  30.16564,       107.33608,       30.16589,     19.00273,     +14.53743,      19.00480,      +14.53884,  3107208.91, -2355363.70,  5154570.14,      53.077468,       +1.944822,   98577.36,  191878.88,    4695.99,             4725.29,    62.83,  43485.82,           39365.58,     -5.24,     -4.54,           7.46,  +1.68,  +0.26
  4,     UK002K,       0,  0.161252, 2459443.486978451256,  19.26777,  14.26015,              107.28578,  29.79054,       107.28320,       29.79081,     19.26777,     +14.26015,      19.27015,      +14.26168,  3106356.80, -2354744.27,  5153457.02,      53.079002,       +1.944343,   97054.71,  191009.76,    6228.57,             6257.87,    41.47,  38017.98,           39667.99,     -5.69,     -4.93,           8.13,  +1.69,  +0.28
  5,     UK002K,       0,  0.201556, 2459443.486978917848,  19.53000,  13.99357,              107.22805,  29.42555,       107.23205,       29.42512,     19.53000,     +13.99357,      19.52819,      +13.99118,  3105533.29, -2354145.62,  5152381.26,      53.080486,       +1.943874,   95583.15,  190177.45,    7709.72,             7739.02,   -31.01,  36749.44,           39337.62,      8.81,      7.63,          12.65,  +1.77,  +0.37
  6,     UK002K,       0,  0.241904, 2459443.486979384907,  19.81280,  13.67607,              107.18549,  29.00742,       107.17412,       29.00865,     19.81280,     +13.67607,      19.82138,      +13.68287,  3104604.62, -2353470.54,  5151168.15,      53.082159,       +1.943367,   93923.68,  189249.57,    9379.99,             9409.29,    83.93,  41396.58,           39440.38,    -25.01,    -21.66,          36.05,  +3.52,  +2.13
  0,     UK0032,       0,  0.012755, 2459443.486976732966,  29.79757,  31.55494,               84.93749,  37.03387,        84.93024,       37.03472,     29.79757,     +31.55494,      29.80175,      +31.55961,  3109684.60, -2357163.38,  5157804.14,      53.073015,       +1.946174,  103001.17,  168681.85,       0.00,              272.57,  -219.60,      0.00,           40273.99,    -15.59,     -7.34,          21.07,  +3.39,  +2.25
  1,     UK0032,       0,  0.053155, 2459443.486977200489,  30.24426,  31.27257,               84.84651,  36.56510,        84.84395,       36.56539,     30.24426,     +31.27257,      30.24595,      +31.27422,  3108696.43, -2356445.04,  5156513.30,      53.074792,       +1.945646,  101235.43,  167576.52,    1777.29,             2049.86,     0.35,  43992.30,           40273.99,     -5.48,     -2.58,           7.46,  +2.03,  +0.91
  2,     UK0032,       0,  0.093487, 2459443.486977667082,  30.62164,  31.03947,               84.76315,  36.17251,        84.77222,       36.17145,     30.62164,     +31.03947,      30.61680,      +31.03359,  3107876.15, -2355848.75,  5155441.76,      53.076267,       +1.945179,   99769.66,  166666.27,    3252.63,             3525.21,   -79.01,  36579.95,           40273.99,     19.46,      9.16,          26.62,  +2.03,  +0.92
  3,     UK0032,       0,  0.133871, 2459443.486978134606,  31.04479,  30.76102,               84.68257,  35.71961,        84.69076,       35.71866,     31.04479,     +30.76102,      31.04059,      +30.75569,  3106944.97, -2355171.83,  5154225.35,      53.077943,       +1.944671,   98105.73,  165644.05,    4927.43,             5200.00,    39.07,  41471.85,           40273.99,     17.57,      8.27,          24.18,  +1.66,  +0.56
  4,     UK0032,       0,  0.174223, 2459443.486978601664,  31.42782,  30.50250,               84.61333,  35.30455,        84.61694,       35.30413,     31.42782,     +30.50250,      31.42643,      +30.50015,  3106102.05, -2354559.08,  5153124.24,      53.079461,       +1.944196,   96599.48,  164727.06,    6443.49,             6716.07,    -0.35,  37570.90,           39730.32,      7.74,      3.64,          10.72,  +1.57,  +0.49
  5,     UK0032,       0,  0.214575, 2459443.486979068723,  31.82247,  30.25177,               84.52691,  34.88768,        84.54320,       34.88577,     31.82247,     +30.25177,      31.81375,      +30.24113,  3105260.78, -2353947.53,  5152025.29,      53.080977,       +1.943721,   95096.19,  163820.74,    7956.57,             8229.14,   -42.76,  37496.94,           39256.02,     34.92,     16.43,          48.60,  +2.46,  +1.39
  6,     UK0032,       0,  0.254919, 2459443.486979535781,  32.18576,  29.99167,               84.47049,  34.48241,        84.47274,       34.48215,     32.18576,     +29.99167,      32.18549,      +29.99019,  3104457.70, -2353363.73,  5150976.22,      53.082424,       +1.943259,   93661.12,  162963.52,    9400.98,             9673.55,  -153.53,  35802.31,           38716.74,      4.81,      2.27,           6.73,  +3.22,  +2.16

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.