Orbital Analysis for matched events on 20210929_231433.400_UK

Summary for Event
-----------------
shower ID 715 ACL
Lg 83.67° Bg 32.21° Vg 61.28km/s
mass 0.01351g, abs. mag -0.1
Path Details
------------
start 2.84° 52.83° 110.14km
end   2.74° 52.79° 101.07km

Orbit Details
-------------
Semimajor axis 7.14A.U., eccentricity 0.87, inclination 122.45°, Period 19.08Y, LA Sun 186.73°, last Perihelion 2002-09-26

Full details below
Click here to download a zip of the raw and processed data.

Detailed report below graphs

Click on an image to see a larger view


Input measurement type: Azimuth +east of due north for meas1, Elevation angle above the horizon for meas2

Uncertainties type:
 Purely geometric uncertainties

Reference JD: 2459487.468442131765
Time: 2021-09-29 23:14:33.400185 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002K and UK0032
 Convergence angle = 6.83358 deg
 R.A. =  84.69012  Dec = +58.26109 deg
Intersection 2 - Stations: UK002K and UK003W
 Convergence angle = 86.00183 deg
 R.A. =  81.52742  Dec = +55.51728 deg
Intersection 3 - Stations: UK0032 and UK003W
 Convergence angle = 87.17549 deg
 R.A. =  82.13280  Dec = +55.34125 deg

Best intersection: Stations UK0032 and UK003W with Qconv = 87.18 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3928053.48 +/- 54.48 m
 Y =     28377.95 +/- 73.54 m
 Z =   5147211.58 +/- 81.41 m
 Vx =     5843.63 +/- 420.06 m/s
 Vy =    34643.19 +/- 483.36 m/s
 Vz =    51419.39 +/- 488.33 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+3.209398e+03, +1.387071e+03, +3.346307e+03, +2.048115e+04, +3.677599e+03, +9.118397e+03
+1.387071e+03, +5.444892e+03, +3.438694e+03, +7.335884e+03, +3.039976e+04, +1.068059e+04
+3.346307e+03, +3.438694e+03, +6.233889e+03, +1.849029e+04, +1.296077e+04, +1.698512e+04
+2.048115e+04, +7.335884e+03, +1.849029e+04, +1.515855e+05, +1.544178e+04, +4.287969e+04
+3.677599e+03, +3.039976e+04, +1.296077e+04, +1.544178e+04, +2.019560e+05, +5.585100e+04
+9.118397e+03, +1.068059e+04, +1.698512e+04, +4.287969e+04, +5.585100e+04, +6.502577e+04

Timing offsets (from input data):
    UK002K: 0.000000 s
    UK0032: 0.000413 s
    UK003W: 0.001758 s

Reference point on the trajectory:
  Time: 2021-09-29 23:14:33.400185 UTC
  Lon     = ++2.844993 +/- 0.0011 deg
  Lat     = +52.832789 +/- 0.0003 deg
  Lat geo = +52.650504 +/- 0.0003 deg
  Ht      =  110247.75 +/- 92.08 m

  JD dynamic   = 2459487.469242872670 
  LST apparent = 0.4139221471 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  80.42545 +/- 0.6436 deg
  Dec       = +55.65694 +/- 0.2871 deg
  Azimuth   =  52.85695 +/- 0.3962 deg
  Elevation = +45.81361 +/- 0.3693 deg
  Vavg      =  61.15887 +/- 0.4190 km/s
  Vinit     =  62.27562 +/- 0.3793 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  80.50583 +/- 0.6436 deg
  Dec       = +55.44316 +/- 0.2871 deg
  Azimuth   =  53.08406 +/- 0.3962 deg
  Elevation = +45.66313 +/- 0.3693 deg
  Vavg      =  61.31848 +/- 0.4190 km/s
  Vinit     =  62.43522 +/- 0.3793 km/s
Radiant (geocentric, J2000):
  R.A.   =  80.54092 +/- 0.6468 deg
  Dec    = +55.44143 +/- 0.2880 deg
  Vg     =  61.27915 +/- 0.3856 km/s
  Vinf   =  62.27562 +/- 0.3793 km/s
  Zc     =  44.29664 +/- 0.3694 deg
  Zg     =  44.67282 +/- 0.3725 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  83.67422 +/- 0.4284 deg
  Bg     = +32.21125 +/- 0.2930 deg
  Vh     =  40.58572 +/- 0.3203 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  66.31299 +/- 0.9226 deg
  Bh     = +53.59841 +/- 0.5519 deg
  Vh_x   =  -9.67601 +/- 0.3895 km/s
  Vh_y   = -22.05615 +/- 0.4451 km/s
  Vh_z   = -32.66653 +/- 0.2066 km/s
Orbit:
  La Sun = 186.727341 +/- 0.0000 deg
  a      =   7.140437 +/- 0.7923 AU
  e      =   0.873318 +/- 0.0266
  i      = 122.450009 +/- 0.6109 deg
  peri   = 217.606187 +/- 0.9073 deg
  node   = 186.727211 +/- 0.0000 deg
  Pi     =  44.333398 +/- 0.9073 deg
  q      =   0.904566 +/- 0.0046 AU
  f      = 322.392441 +/- 0.9072 deg
  M      = 358.672057 +/- 0.5137 deg
  Q      =  13.376309 +/- 1.5863 AU
  n      =   0.051656 +/- 0.0189 deg/day
  T      =  19.080416 +/- 2.7688 years
  Last perihelion JD = 2452543.933598 (2002-09-26 10:24:22.876783) +/- 1011.5317 days
  Tj     =   0.116498 +/- 0.1588
Shower association:
  IAU No.  =  715
  IAU code =  ACL

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +7.850764e-04, -3.361730e-05, -3.024123e+01, -4.247170e-09, -5.109627e-05, +1.525225e-04
q   , -3.361730e-05, +2.249189e-05, +1.547396e+00, -3.074493e-10, -7.504745e-05, +1.076648e-05
Tp  , -3.024123e+01, +1.547396e+00, +1.231892e+06, +1.415463e-04, +1.026408e+00, -5.081878e+00
node, -4.247170e-09, -3.074493e-10, +1.415463e-04, +9.593421e-14, +2.118603e-09, -3.419631e-09
peri, -5.109627e-05, -7.504745e-05, +1.026408e+00, +2.118603e-09, +2.867721e-04, -7.507615e-05
i   , +1.525225e-04, +1.076648e-05, -5.081878e+00, -3.419631e-09, -7.507615e-05, +1.219084e-04

Jacchia fit on lag = -|a1|*exp(|a2|*t):
 a1 = 0.000134
 a2 = 70.151672

Mean time residuals from time vs. length:
  Station with reference time: UK002K
  Avg. res. = 1.159e-06 s
  Stddev    = 1.08e-03 s

Begin point on the trajectory:
  Lon =     2.843802 +/- 0.0008 deg
  Lat =    52.832243 +/- 0.0003 deg
  Ht  = 110142.36 +/- 45.11 m
End point on the trajectory:
  Lon =     2.740281 +/- 0.0005 deg
  Lat =    52.785056 +/- 0.0002 deg
  Ht  = 101068.03 +/- 36.87 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,   0.000000,   0.000000,   110142.36,   101380.95,          0.021936,     20.64,     94.88,              49.98, 0.5865,    True,    True, {"ff_name": "FF_UK002K_20210929_231435_333_0446208.fits"}
    UK0032,   False,    -0.023645,    52.984073,    6.00,   0.000000,   0.000000,   108049.55,   101068.03,          0.018888,      6.08,     72.73,              37.03, 0.3627,    True,    True, {"ff_name": "FF_UK0032_20210929_231432_413_0448768.fits"}
    UK003W,   False,     0.164950,    51.426540,   67.00,   0.611972,  22.504871,   109069.41,   101901.42,          0.007375,     32.86,      4.82,              19.70, 0.1136,    True,    True, {"ff_name": "FF_UK003W_20210929_231434_394_0450816.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, 2459487.468442131765,  58.07476,   9.13148,              108.70151,  24.39966,       108.70609,       24.40483,     58.07476,      +9.13148,      58.06826,       +9.13335,  3928039.69,    28296.19,  5147090.23,      52.832243,       +2.843802,  110142.36,  256334.29,       0.00,              146.97,    -3.91,      0.00,           62330.00,    -29.04,     -6.34,          23.92,  +3.95,  +1.91
  1,     UK002K,       0,  0.040300, 2459487.468442598358,  57.97731,   8.67716,              109.07191,  24.08089,       109.10188,       24.11456,     57.97731,      +8.67716,      57.93532,       +8.68932,  3927786.71,    26796.48,  5144864.27,      52.822215,       +2.821785,  108209.43,  254590.89,    2695.93,             2842.90,   182.31,  66896.53,           62330.00,   -188.35,    -40.94,         156.16,  +2.74,  +0.71
  2,     UK002K,       0,  0.080520, 2459487.468443063553,  57.83661,   8.30931,              109.42569,  23.85690,       109.43574,       23.86817,     57.83661,      +8.30931,      57.82280,       +8.31339,  3927575.20,    25542.52,  5143003.08,      52.813823,       +2.803346,  106593.66,  253144.56,    4950.07,             5097.04,   -68.27,  56045.35,           62330.00,    -62.77,    -13.69,          52.35,  +1.74,  -0.28
  3,     UK002K,       0,  0.120808, 2459487.468443530146,  57.71217,   7.85653,              109.81627,  23.55311,       109.83338,       23.57222,     57.71217,      +7.85653,      57.68868,       +7.86345,  3927325.22,    24060.55,  5140803.45,      52.803896,       +2.781581,  104684.55,  251452.41,    7614.11,             7761.08,    86.81,  66124.91,           62330.00,   -106.01,    -23.09,          89.00,  +1.89,  -0.11
  4,     UK002K,       0,  0.161048, 2459487.468443995807,  57.55411,   7.45331,              110.20492,  23.30824,       110.19714,       23.29958,     57.55411,      +7.45331,      57.56562,       +7.45016,  3927098.52,    22716.59,  5138808.67,      52.794885,       +2.761826,  102953.67,  249931.72,   10030.05,            10177.02,    -3.22,  60038.27,           62042.26,     47.86,     10.47,          40.43,  +1.89,  -0.10
  5,     UK002K,       0,  0.201292, 2459487.468444461469,  57.45520,   7.06919,              110.52791,  23.04553,       110.53037,       23.04827,     57.45520,      +7.06919,      57.45257,       +7.07018,  3926892.48,    21495.15,  5136995.73,      52.786688,       +2.743854,  101380.95,  248561.18,   12225.76,            12372.72,  -313.74,  54559.75,           60891.56,    -15.07,     -3.29,          12.80,  +2.21,  +0.23
  0,     UK0032,       1,  0.005104, 2459487.468442220706,  66.59322,  20.11620,               93.98239,  28.47410,        93.97827,       28.46934,     66.59322,     +20.11620,      66.59942,      +20.11486,  3927960.59,    27827.26,  5146394.21,      52.829109,       +2.836939,  109537.91,  223538.70,       0.00,              989.93,   521.21,      0.00,           58586.27,     23.24,      1.97,          21.53,  +5.96,  +4.21
  1,     UK0032,       0,  0.045296, 2459487.468442685902,  66.56310,  19.79216,               94.24239,  28.24289,        94.27024,       28.27487,     66.56310,     +19.79216,      66.52150,      +19.80114,  3927765.79,    26672.41,  5144680.12,      52.821385,       +2.819945,  108049.55,  221874.96,    2075.99,             3065.92,    94.21,  51651.80,           58586.27,   -155.55,    -12.99,         145.11,  +2.23,  +0.50
  2,     UK0032,       0,  0.085436, 2459487.468443150632,  66.43925,  19.46540,               94.58053,  28.06542,        94.58120,       28.06618,     66.43925,     +19.46540,      66.43858,      +19.46561,  3927560.68,    25456.48,  5142875.37,      52.813247,       +2.802061,  106482.80,  220131.46,    4261.78,             5251.72,  -219.74,  54454.21,           58586.27,     -3.70,     -0.31,           3.47,  +1.55,  -0.16
  3,     UK0032,       0,  0.125656, 2459487.468443616293,  66.32205,  19.02022,               94.99741,  27.79199,        94.99299,       27.78695,     66.32205,     +19.02022,      66.32912,      +19.01881,  3927292.69,    23867.70,  5140517.20,      52.802603,       +2.778740,  104436.15,  217868.56,    7117.83,             8107.76,   131.58,  71010.60,           58586.27,     24.16,      2.05,          22.95,  +1.60,  -0.09
  4,     UK0032,       0,  0.165864, 2459487.468444081489,  66.24306,  18.62128,               95.34805,  27.53065,        95.35552,       27.53914,     66.24306,     +18.62128,      66.23264,      +18.62366,  3927060.18,    22489.31,  5138471.33,      52.793360,       +2.758483,  102661.01,  215915.54,    9595.65,            10585.59,   105.43,  61625.18,           60300.38,    -40.46,     -3.42,          38.79,  +1.56,  -0.11
  5,     UK0032,       0,  0.206036, 2459487.468444546685,  66.14517,  18.26266,               95.68436,  27.31131,        95.68515,       27.31221,     66.14517,     +18.26266,      66.14482,      +18.26292,  3926851.48,    21252.09,  5136634.97,      52.785056,       +2.740281,  101068.03,  214170.87,   11819.72,            12809.65,  -172.24,  55363.55,           60084.83,     -4.27,     -0.36,           4.13,  +3.19,  +1.54
  0,     UK003W,       0,  0.024025, 2459487.468442230951, 106.29630,  43.42992,               48.48551,  23.16139,        48.48537,       23.16140,    106.29630,     +43.42992,     106.29643,      +43.43002,  3927899.27,    27463.77,  5145854.70,      52.826678,       +2.831639,  109069.41,  265461.28,       0.00,             1643.36,    -3.66,      0.00,           61742.64,      0.09,     -0.60,           0.47,  +2.72,  +0.60
  1,     UK003W,       0,  0.064273, 2459487.468442696612, 106.49197,  43.29533,               48.46090,  22.96686,        48.46700,       22.96642,    106.49197,     +43.29533,     106.48661,      +43.29139,  3927658.43,    26035.95,  5143735.45,      52.817126,       +2.810668,  107229.41,  263051.68,    2566.69,             4210.05,    56.56,  63771.84,           61742.64,     -3.74,     25.58,          20.27,  +2.23,  +0.13
  2,     UK003W,       0,  0.104529, 2459487.468443162739, 106.66392,  43.15028,               48.45728,  22.77522,        48.44901,       22.77581,    106.66392,     +43.15028,     106.67177,      +43.15561,  3927427.13,    24664.72,  5141700.20,      52.807944,       +2.790519,  105462.79,  260740.20,    5031.65,             6675.01,    14.55,  61232.04,           61742.64,      5.06,    -34.43,          27.53,  +2.04,  -0.04
  3,     UK003W,       0,  0.144773, 2459487.468443628401, 106.85291,  43.01669,               48.43469,  22.58427,        48.43099,       22.58453,    106.85291,     +43.01669,     106.85677,      +43.01908,  3927199.06,    23312.66,  5139693.39,      52.798883,       +2.770646,  103721.29,  258463.81,    7462.15,             9105.51,   -61.17,  60394.23,           61742.64,      2.24,    -15.27,          12.32,  +1.95,  -0.11
  4,     UK003W,       0,  0.185041, 2459487.468444094528, 107.03923,  42.86432,               48.42601,  22.37992,        48.41195,       22.38092,    107.03923,     +42.86432,     107.05271,      +42.87337,  3926960.67,    21899.40,  5137595.74,      52.789402,       +2.749879,  101901.42,  256087.89,   10002.68,            11646.04,   -28.36,  63090.41,           61860.47,      8.47,    -57.66,          46.94,  +2.10,  +0.06

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.