Orbital Analysis for matched events on 20210929_035813.881_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 117.80° Bg 67.50° Vg 39.58km/s
mass 0.16120g, abs. mag -1.7
Path Details
------------
start -2.70° 49.14° 90.07km
end   -2.73° 49.04° 80.17km

Orbit Details
-------------
Semimajor axis 5.48A.U., eccentricity 0.82, inclination 66.80°, Period 12.83Y, LA Sun 185.94°, last Perihelion 2021-09-16

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: 2459486.665438441560
Time: 2021-09-29 03:58:13.881351 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002D and UK003N
 Convergence angle = 23.69381 deg
 R.A. = 189.20996  Dec = +80.03291 deg

Best intersection: Stations UK002D and UK003N with Qconv = 23.69 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1792140.62 +/- 91.62 m
 Y =   3842462.32 +/- 96.81 m
 Z =   4868696.69 +/- 52.93 m
 Vx =    -7045.65 +/- 444.39 m/s
 Vy =    -1788.05 +/- 493.04 m/s
 Vz =    40459.62 +/- 398.03 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+9.209431e+03, +8.710973e+03, -4.146761e+03, +4.824491e+04, +4.614644e+04, -2.229721e+04
+8.710973e+03, +1.036991e+04, -4.924053e+03, +4.368240e+04, +4.988720e+04, -2.270693e+04
-4.146761e+03, -4.924053e+03, +3.000471e+03, -2.001199e+04, -2.413092e+04, +1.086462e+04
+4.824491e+04, +4.368240e+04, -2.001199e+04, +3.107347e+05, +2.679779e+05, -1.342010e+05
+4.614644e+04, +4.988720e+04, -2.413092e+04, +2.679779e+05, +2.767123e+05, -1.295311e+05
-2.229721e+04, -2.270693e+04, +1.086462e+04, -1.342010e+05, -1.295311e+05, +6.446075e+04

Timing offsets (from input data):
    UK002D: 0.000000 s
    UK003N: 0.000193 s

Reference point on the trajectory:
  Time: 2021-09-29 03:58:13.881351 UTC
  Lon     = +-2.700655 +/- 0.0007 deg
  Lat     = +49.137275 +/- 0.0011 deg
  Lat geo = +48.949422 +/- 0.0011 deg
  Ht      =   90043.64 +/- 49.63 m

  JD dynamic   = 2459486.666239182465 
  LST apparent = 64.9954560332 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 194.23995 +/- 4.4749 deg
  Dec       = +79.81487 +/- 0.7603 deg
  Azimuth   =  10.64582 +/- 0.4252 deg
  Elevation = +42.15760 +/- 0.9508 deg
  Vavg      =  41.03938 +/- 0.3179 km/s
  Vinit     =  41.10741 +/- 0.3226 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 192.74774 +/- 4.4749 deg
  Dec       = +79.48325 +/- 0.7603 deg
  Azimuth   =  11.21604 +/- 0.4252 deg
  Elevation = +42.10281 +/- 0.9508 deg
  Vavg      =  41.08286 +/- 0.3179 km/s
  Vinit     =  41.15089 +/- 0.3226 km/s
Radiant (geocentric, J2000):
  R.A.   = 197.65480 +/- 3.8503 deg
  Dec    = +79.20401 +/- 0.8155 deg
  Vg     =  39.57703 +/- 0.3355 km/s
  Vinf   =  41.10741 +/- 0.3226 km/s
  Zc     =  48.02703 +/- 0.9507 deg
  Zg     =  48.99533 +/- 0.9571 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 117.79629 +/- 2.2645 deg
  Bg     = +67.49551 +/- 0.4469 deg
  Vh     =  40.11425 +/- 0.5504 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 257.71926 +/- 1.7546 deg
  Bh     = +65.71816 +/- 0.3296 deg
  Vh_x   =   3.50873 +/- 0.5252 km/s
  Vh_y   =  16.11853 +/- 0.3537 km/s
  Vh_z   = -36.56549 +/- 0.4179 km/s
Orbit:
  La Sun = 185.938595 +/- 0.0000 deg
  a      =   5.479042 +/- 0.6627 AU
  e      =   0.820512 +/- 0.0484
  i      =  66.804217 +/- 0.1963 deg
  peri   = 163.596441 +/- 1.3227 deg
  node   = 185.940825 +/- 0.0000 deg
  Pi     = 349.537266 +/- 1.3227 deg
  q      =   0.983424 +/- 0.0027 AU
  f      =  16.402975 +/- 1.3227 deg
  M      =   0.935970 +/- 0.3165 deg
  Q      =   9.974661 +/- 1.3277 AU
  n      =   0.076851 +/- 0.0385 deg/day
  T      =  12.825008 +/- 1.9895 years
  Last perihelion JD = 2459474.487148 (2021-09-16 23:41:29.560077) +/- 0.8772 days
  Tj     =   1.411885 +/- 0.2421
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.570147e-03, -1.301359e-04, -3.654508e-02, +1.659939e-09, -1.037505e-03, -1.514007e-04
q   , -1.301359e-04, +7.854006e-06, +2.445694e-03, -6.754773e-11, +6.607017e-05, +6.162543e-06
Tp  , -3.654508e-02, +2.445694e-03, +8.184932e-01, -1.642760e-08, +2.148623e-02, +1.497941e-03
node, +1.659939e-09, -6.754773e-11, -1.642760e-08, +1.531241e-15, -5.050713e-10, -1.395846e-10
peri, -1.037505e-03, +6.607017e-05, +2.148623e-02, -5.050713e-10, +5.707411e-04, +4.606173e-05
i   , -1.514007e-04, +6.162543e-06, +1.497941e-03, -1.395846e-10, +4.606173e-05, +1.272437e-05

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: UK002D
  Avg. res. = 3.080e-06 s
  Stddev    = 1.76e-03 s

Begin point on the trajectory:
  Lon =    -2.700576 +/- 0.0007 deg
  Lat =    49.137552 +/- 0.0011 deg
  Ht  = 90072.40 +/- 47.42 m
End point on the trajectory:
  Lon =    -2.729411 +/- 0.0010 deg
  Lat =    49.042002 +/- 0.0012 deg
  Ht  = 80168.41 +/- 46.49 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
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,    90072.40,    80168.41,          0.008306,     23.33,     32.40,             115.58, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210929_035806_063_0859392.fits"}
    UK003N,   False,    -0.162561,    51.236425,  111.00,   0.000000,   0.000000,    89181.26,    81381.16,          0.012419,     39.28,     55.42,             113.62, 1.0000,    True,   False, {"ff_name": "FF_UK003N_20210929_035804_980_0870400.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,     UK002D,       0,  0.000000, 2459486.665438441560,  50.87202, -19.23741,              194.92730,  18.19097,       194.93250,       18.19072,     50.87202,     -19.23741,      50.86681,      -19.23682,  1792133.27,  3842460.45,  4868738.86,      49.137552,       -2.700576,   90072.40,  271617.15,       0.00,               42.85,   220.52,      0.00,           40498.88,    -19.05,     13.72,          17.83,  +3.45,  +1.28
  1,     UK002D,       0,  0.040240, 2459486.665438907221,  50.81713, -19.51732,              194.93075,  17.90633,       194.91956,       17.90689,     50.81713,     -19.51732,      50.82852,      -19.51859,  1792393.55,  3842526.51,  4867244.20,      49.127741,       -2.703554,   89053.23,  272319.29,    1518.59,             1475.74,    -0.74,  37738.43,           40498.88,     41.10,    -29.59,          38.36,  +2.08,  -0.10
  2,     UK002D,       0,  0.080508, 2459486.665439373348,  50.79046, -19.82948,              194.90077,  17.59447,       194.90508,       17.59426,     50.79046,     -19.82948,      50.78646,      -19.82899,  1792681.84,  3842599.67,  4865588.69,      49.116871,       -2.706835,   87924.60,  273104.45,    3200.61,             3157.76,    25.96,  41770.51,           40498.88,    -15.92,     11.46,          14.81,  +1.57,  -0.61
  3,     UK002D,       0,  0.120772, 2459486.665439839475,  50.75481, -20.13722,              194.88028,  17.28553,       194.89081,       17.28501,     50.75481,     -20.13722,      50.74467,      -20.13602,  1792968.66,  3842672.46,  4863941.63,      49.106052,       -2.710099,   86801.96,  273893.64,    4874.04,             4831.19,    44.24,  41561.53,           40498.88,    -39.03,     28.11,          36.23,  +1.32,  -0.87
  4,     UK002D,       0,  0.161012, 2459486.665440305136,  50.69603, -20.41392,              194.88762,  17.00347,       194.87811,       17.00395,     50.69603,     -20.41392,      50.70635,      -20.41501,  1793230.77,  3842738.98,  4862436.50,      49.096162,       -2.713097,   85776.25,  274622.02,    6403.27,             6360.42,   -80.70,  38002.58,           40148.50,     35.42,    -25.51,          32.78,  +1.18,  -1.01
  5,     UK002D,       0,  0.201288, 2459486.665440771263,  50.65754, -20.73846,              194.86663,  16.67756,       194.86298,       16.67774,     50.65754,     -20.73846,      50.66210,      -20.73888,  1793536.76,  3842816.63,  4860679.31,      49.084611,       -2.716568,   84579.00,  275480.23,    8188.59,             8145.74,    48.99,  44327.32,           40645.66,     13.67,     -9.84,          12.61,  +1.26,  -0.94
  6,     UK002D,       0,  0.241524, 2459486.665441236924,  50.61305, -21.01449,              194.85999,  16.39849,       194.85046,       16.39897,     50.61305,     -21.01449,      50.62379,      -21.01559,  1793799.77,  3842883.38,  4859169.01,      49.074680,       -2.719574,   83550.17,  276225.36,    9723.07,             9680.22,   -70.53,  38136.88,           40554.53,     35.81,    -25.79,          32.95,  +0.96,  -1.25
  7,     UK002D,       0,  0.281796, 2459486.665441703051,  50.59176, -21.33146,              194.82371,  16.08282,       194.83590,       16.08221,     50.59176,     -21.33146,      50.58044,      -21.33004,  1794100.37,  3842959.67,  4857442.80,      49.063326,       -2.722987,   82374.50,  277084.58,   11476.92,            11434.07,    27.84,  43550.12,           40766.29,    -46.02,     33.14,          42.22,  +0.46,  -1.75
  8,     UK002D,       0,  0.322060, 2459486.665442169178,  50.53361, -21.64046,              194.82397,  15.76911,       194.82158,       15.76923,     50.53361,     -21.64046,      50.53742,      -21.64074,  1794399.24,  3843035.51,  4855726.54,      49.052032,       -2.726380,   81205.85,  277947.21,   13220.66,            13177.81,   116.43,  43307.58,           41034.56,      9.05,     -6.52,           8.28,  +0.89,  -1.33
  9,     UK002D,       0,  0.362296, 2459486.665442634840,  50.50881, -21.91622,              194.79830,  15.49350,       194.80926,       15.49295,     50.50881,     -21.91622,      50.49900,      -21.91494,  1794664.60,  3843102.86,  4854202.71,      49.042002,       -2.729411,   80168.41,  278720.37,   14768.89,            14726.04,    10.66,  38478.84,           41031.80,    -41.75,     30.07,          38.08,  +1.09,  -1.14
 10,     UK002D,       1,  0.402516, 2459486.665443100501,  50.51761, -22.17314,              194.74419,  15.24180,       194.79817,       15.23913,     50.51761,     -22.17314,      50.46339,      -22.16681,  1794909.68,  3843165.05,  4852795.34,      49.032735,       -2.732223,   79210.43,  279440.38,   16198.79,            16155.94,  -212.78,  35551.87,           40781.46,   -206.38,    148.70,         187.76,  +4.90,  +2.67
  0,     UK003N,       0,  0.034472, 2459486.665438838303,  28.79184, -15.40728,              218.71504,  15.28610,       218.72408,       15.28273,     28.79184,     -15.40728,      28.78230,      -15.40682,  1792360.85,  3842518.21,  4867431.97,      49.128974,       -2.703176,   89181.26,  311457.27,       0.00,             1284.97,    45.57,      0.00,           41163.86,    -41.46,     29.38,          33.65,  +2.64,  +0.17
  1,     UK003N,       0,  0.074680, 2459486.665439303499,  28.78536, -15.66328,              218.61326,  15.04962,       218.63020,       15.04331,     28.78536,     -15.66328,      28.76749,      -15.66241,  1792625.39,  3842585.34,  4865912.89,      49.119000,       -2.706200,   88145.61,  312125.71,    1543.40,             2828.37,   -63.88,  38385.37,           41163.86,    -77.92,     55.22,          63.11,  +1.70,  -0.77
  2,     UK003N,       0,  0.114924, 2459486.665439769626,  28.75016, -15.96164,              218.52005,  14.76317,       218.52025,       14.76309,     28.75016,     -15.96164,      28.75041,      -15.96163,  1792936.46,  3842664.29,  4864126.54,      49.107266,       -2.709727,   86927.99,  312918.46,    3358.35,             4643.31,    96.74,  45098.59,           41163.86,     -0.95,      0.68,           0.77,  +1.35,  -1.13
  3,     UK003N,       0,  0.155124, 2459486.665440234821,  28.75947, -16.21795,              218.40422,  14.53249,       218.42697,       14.52400,     28.75947,     -16.21795,      28.73556,      -16.21678,  1793203.04,  3842731.94,  4862595.72,      49.097208,       -2.712772,   85884.74,  313605.59,    4913.68,             6198.65,    -0.44,  38689.98,           41163.86,   -105.43,     74.70,          84.98,  +1.28,  -1.20
  4,     UK003N,       0,  0.195328, 2459486.665440700017,  28.73111, -16.46862,              218.32510,  14.29227,       218.33531,       14.28846,     28.73111,     -16.46862,      28.72088,      -16.46810,  1793466.76,  3842798.87,  4861081.28,      49.087254,       -2.715787,   84852.85,  314291.54,    6452.37,             7737.34,  -114.44,  38271.94,           40469.63,    -47.47,     33.64,          38.18,  +1.20,  -1.29
  5,     UK003N,       0,  0.235556, 2459486.665441165678,  28.69203, -16.74438,              218.24529,  14.02495,       218.23437,       14.02903,     28.69203,     -16.74438,      28.70484,      -16.74494,  1793758.58,  3842872.93,  4859405.51,      49.076236,       -2.719104,   83711.26,  315056.86,    8154.97,             9439.94,   -65.51,  42323.72,           40536.17,     50.89,    -36.08,          40.84,  +0.81,  -1.68
  6,     UK003N,       0,  0.275788, 2459486.665441631339,  28.69060, -17.04138,              218.12282,  13.75278,       218.12648,       13.75142,     28.69060,     -17.04138,      28.68777,      -17.04119,  1794072.41,  3842952.57,  4857603.34,      49.064382,       -2.722659,   82483.83,  315887.56,    9986.00,            11270.96,   111.69,  45511.74,           41093.25,    -17.17,     12.17,          13.74,  +0.52,  -1.98
  7,     UK003N,       0,  0.316004, 2459486.665442096535,  28.66562, -17.30576,              218.03533,  13.50132,       218.03043,       13.50315,     28.66562,     -17.30576,      28.67228,      -17.30601,  1794354.40,  3843024.13,  4855984.03,      49.053727,       -2.725870,   81381.16,  316641.87,   11631.23,            12916.20,   103.74,  40909.87,           41310.06,     22.99,    -16.30,          18.36,  +0.62,  -1.88

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.