Orbital Analysis for matched events on 20210813_234608.894_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 67.73° Bg 33.13° Vg 59.94km/s
mass 0.00501g, abs. mag 0.4
Path Details
------------
start -3.18° 50.07° 107.03km
end   -3.29° 49.99° 98.87km

Orbit Details
-------------
Semimajor axis 6.72A.U., eccentricity 0.87, inclination 119.72°, Period 17.40Y, LA Sun 141.14°, last Perihelion 2021-07-15

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: 2459440.490380724426
Time: 2021-08-13 23:46:08.894590 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK000H and UK002D
 Convergence angle = 12.61029 deg
 R.A. =  56.11938  Dec = +54.74037 deg

Best intersection: Stations UK000H and UK002D with Qconv = 12.61 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2999380.47 +/- 41.55 m
 Y =  -2897807.36 +/- 186.31 m
 Z =   4949956.00 +/- 25.36 m
 Vx =    19285.15 +/- 531.06 m/s
 Vy =    29708.31 +/- 1288.96 m/s
 Vz =    49608.82 +/- 817.69 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.747380e+03, -6.984166e+03, +6.232682e+02, +7.585930e+03, -3.406626e+04, +3.424501e+02
-6.984166e+03, +3.470244e+04, -3.005791e+03, -3.464187e+04, +1.935636e+05, -4.999825e+03
+6.232682e+02, -3.005791e+03, +6.518465e+02, +2.836939e+03, -1.969319e+04, +7.327436e+02
+7.585930e+03, -3.464187e+04, +2.836939e+03, +5.066193e+04, -2.482241e+05, -5.021740e+02
-3.406626e+04, +1.935636e+05, -1.969319e+04, -2.482241e+05, +1.554329e+06, -2.783495e+04
+3.424501e+02, -4.999825e+03, +7.327436e+02, -5.021740e+02, -2.783495e+04, +3.875285e+03

Timing offsets (from input data):
    UK000H: 0.000000 s
    UK002D: 0.000198 s

Reference point on the trajectory:
  Time: 2021-08-13 23:46:08.894590 UTC
  Lon     = +-3.176509 +/- 0.0015 deg
  Lat     = +50.070752 +/- 0.0010 deg
  Lat geo = +49.884359 +/- 0.0010 deg
  Ht      =  107028.33 +/- 114.16 m

  JD dynamic   = 2459440.491181465331 
  LST apparent = 315.9867644161 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  57.01039 +/- 1.5587 deg
  Dec       = +54.47451 +/- 0.7213 deg
  Azimuth   =  43.18991 +/- 0.1371 deg
  Elevation = +33.55814 +/- 1.1225 deg
  Vavg      =  59.04742 +/- 0.4036 km/s
  Vinit     =  60.95519 +/- 0.4783 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  56.91710 +/- 1.5587 deg
  Dec       = +54.24677 +/- 0.7213 deg
  Azimuth   =  43.43899 +/- 0.1371 deg
  Elevation = +33.45004 +/- 1.1225 deg
  Vavg      =  59.22139 +/- 0.4036 km/s
  Vinit     =  61.12916 +/- 0.4783 km/s
Radiant (geocentric, J2000):
  R.A.   =  57.26539 +/- 1.5395 deg
  Dec    = +54.06879 +/- 0.7303 deg
  Vg     =  59.93643 +/- 0.4867 km/s
  Vinf   =  60.95519 +/- 0.4783 km/s
  Zc     =  56.57785 +/- 1.1224 deg
  Zg     =  57.09757 +/- 1.1265 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  67.73264 +/- 0.7663 deg
  Bg     = +33.13250 +/- 0.9450 deg
  Vh     =  40.24029 +/- 0.1623 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  87.99140 +/- 0.7761 deg
  Bh     = +54.49973 +/- 1.7531 deg
  Vh_x   =  -0.81903 +/- 0.2168 km/s
  Vh_y   = -23.35345 +/- 1.1299 km/s
  Vh_z   = -32.76014 +/- 0.5139 km/s
Orbit:
  La Sun = 141.139576 +/- nan deg
  a      =   6.715036 +/- 0.4445 AU
  e      =   0.868827 +/- 0.0155
  i      = 119.716144 +/- 1.3754 deg
  peri   = 135.989298 +/- 2.3592 deg
  node   = 141.138015 +/- 0.0001 deg
  Pi     = 277.127312 +/- 2.3593 deg
  q      =   0.880834 +/- 0.0128 AU
  f      =  44.006536 +/- 2.3592 deg
  M      =   1.683457 +/- 0.1778 deg
  Q      =  12.549238 +/- 0.9006 AU
  n      =   0.056641 +/- 0.0092 deg/day
  T      =  17.400958 +/- 1.5758 years
  Last perihelion JD = 2459410.769700 (2021-07-15 06:28:22.050555) +/- 1.2423 days
  Tj     =   0.217442 +/- 0.0969
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +2.435737e-04, -1.905484e-04, -1.736479e-02, -2.734394e-08, -5.954629e-04, +3.441320e-04
q   , -1.905484e-04, +1.640913e-04, +1.557428e-02, +2.399543e-08, +5.225240e-04, -3.029984e-04
Tp  , -1.736479e-02, +1.557428e-02, +1.509164e+00, +2.283433e-06, +5.009612e-02, -2.889907e-02
node, -2.734394e-08, +2.399543e-08, +2.283433e-06, +3.603191e-12, +7.648205e-08, -4.546753e-08
peri, -5.954629e-04, +5.225240e-04, +5.009612e-02, +7.648205e-08, +1.672066e-03, -9.668492e-04
i   , +3.441320e-04, -3.029984e-04, -2.889907e-02, -4.546753e-08, -9.668492e-04, +5.739113e-04

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: UK000H
  Avg. res. = 3.435e-05 s
  Stddev    = 5.86e-03 s

Begin point on the trajectory:
  Lon =    -3.176516 +/- 0.0014 deg
  Lat =    50.070747 +/- 0.0009 deg
  Ht  = 107027.82 +/- 119.46 m
End point on the trajectory:
  Lon =    -3.293219 +/- 0.0014 deg
  Lat =    49.991245 +/- 0.0009 deg
  Ht  = 98874.39 +/- 99.32 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
    UK000H,   False,    -1.778230,    50.857470,   24.00,   0.000000,   0.000000,   107027.82,    98874.39,          0.006686,     13.36,     15.33,             104.97, 1.0000,    True,    True, {"ff_name": "FF_UK000H_20210813_234606_103_0326656.fits"}
    UK002D,   False,    -1.801980,    51.351940,  129.00,   0.000000,   0.000000,   106367.70,    99942.74,          0.010125,     29.56,     21.72,             111.46, 1.0000,    True,    True, {"ff_name": "FF_UK002D_20210813_234608_953_0323840.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,     UK000H,       0,  0.000000, 2459440.490380724426, 280.35433,   8.86386,              229.15271,  38.12831,       229.14480,       38.12877,    280.35433,      +8.86386,     280.36007,       +8.86126,  2999380.18, -2897807.80,  4949955.26,      50.070747,       -3.176516,  107027.82,  171050.86,       0.00,                0.91,   -84.54,      0.00,           60828.22,    -14.03,     12.23,          22.45,  +1.93,  +0.76
  1,     UK000H,       0,  0.040716, 2459440.490381195676, 280.00554,   8.09514,              229.06584,  37.28853,       229.07001,       37.28829,    280.00554,      +8.09514,     280.00265,       +8.09653,  2998545.95, -2899092.92,  4947809.29,      50.056578,       -3.197345,  105570.58,  171846.84,    2636.79,             2637.71,    70.40,  64760.58,           60828.22,      7.52,     -6.56,          11.98,  +1.57,  +0.39
  2,     UK000H,       0,  0.081324, 2459440.490381665528, 279.70030,   7.44111,              229.00391,  36.56966,       229.00784,       36.56943,    279.70030,      +7.44111,     279.69773,       +7.44243,  2997826.41, -2900201.36,  4945958.36,      50.044348,       -3.215331,  104314.26,  172563.93,    4911.06,             4911.98,  -130.60,  56005.50,           60828.22,      7.20,     -6.28,          11.42,  +1.34,  +0.16
  3,     UK000H,       0,  0.122004, 2459440.490382136311, 279.36373,   6.70491,              228.92933,  35.76348,       228.93901,       35.76292,    279.36373,      +6.70491,     279.35703,       +6.70817,  2997011.60, -2901456.55,  4943862.35,      50.030490,       -3.235674,  102892.26,  173407.66,    7486.46,             7487.37,   -34.86,  63308.70,           60828.22,     17.96,    -15.66,          28.35,  +1.10,  -0.10
  4,     UK000H,       0,  0.162680, 2459440.490382607095, 279.02366,   5.97340,              228.86394,  34.95943,       228.87175,       34.95898,    279.02366,      +5.97340,     279.01847,       +5.97606,  2996191.28, -2902720.23,  4941752.17,      50.016528,       -3.256150,  101461.35,  174291.56,   10079.27,            10080.18,    78.54,  63742.96,           61498.85,     14.70,    -12.82,          23.08,  +1.04,  -0.17
  5,     UK000H,       0,  0.203372, 2459440.490383078344, 278.66551,   5.22886,              228.81251,  34.13505,       228.80410,       34.13555,    278.66551,      +5.22886,     278.67273,       +5.22597,  2995342.17, -2904028.27,  4939567.93,      50.002066,       -3.277336,   99980.95,  175242.15,   12763.09,            12764.00,   281.96,  65954.38,           62327.38,    -16.09,     14.02,          25.12,  +1.24,  +0.02
  6,     UK000H,       0,  0.243880, 2459440.490383547265, 278.40626,   4.67442,              228.76768,  33.52454,       228.75565,       33.52525,    278.40626,      +4.67442,     278.41646,       +4.67026,  2994707.20, -2905006.42,  4937934.56,      49.991245,       -3.293219,   98874.39,  175978.37,   14770.04,            14770.95,  -180.25,  49544.64,           61259.31,    -23.28,     20.28,          36.19,  +1.93,  +0.70
  0,     UK002D,       0,  0.013183, 2459440.490380868316, 287.83140,  -2.58913,              214.85203,  30.50223,       214.84942,       30.50189,    287.83140,      -2.58913,     287.83343,       -2.59025,  2999002.33, -2898389.88,  4948983.28,      50.064331,       -3.185925,  106367.70,  204594.37,       0.00,             1195.20,   306.21,      0.00,           56887.56,     -4.81,      6.55,           8.19,  +3.66,  +2.11
  1,     UK002D,       0,  0.053695, 2459440.490381337237, 287.49225,  -3.15761,              214.98252,  29.85018,       214.96600,       29.84804,    287.49225,      -3.15761,     287.50510,       -3.16474,  2998183.01, -2899652.01,  4946875.69,      50.050410,       -3.206383,  104936.84,  205658.73,    2589.63,             3784.83,   426.42,  63922.53,           56887.56,    -30.79,     41.89,          52.14,  +3.34,  +1.77
  2,     UK002D,       0,  0.094099, 2459440.490381805226, 287.24736,  -3.60710,              215.05931,  29.34288,       215.05577,       29.34242,    287.24736,      -3.60710,     287.25048,       -3.60864,  2997543.89, -2900636.57,  4945231.60,      50.039544,       -3.222376,  103821.13,  206509.14,    4609.74,             5804.95,   -16.30,  49997.90,           56887.56,     -6.67,      9.08,          11.25,  +1.59,  +0.02
  3,     UK002D,       0,  0.134571, 2459440.490382273681, 286.96124,  -4.13398,              215.14703,  28.74857,       215.15923,       28.75015,    286.96124,      -4.13398,     286.95236,       -4.12864,  2996788.26, -2901800.60,  4943287.83,      50.026689,       -3.241252,  102502.61,  207534.53,    6998.09,             8193.29,   -94.93,  59012.26,           56887.56,     23.20,    -31.58,          38.95,  +2.57,  +0.98
  4,     UK002D,       0,  0.175071, 2459440.490382742137, 286.64268,  -4.68972,              215.25564,  28.11563,       215.26825,       28.11727,    286.64268,      -4.68972,     286.63360,       -4.68418,  2995972.40, -2903057.41,  4941189.13,      50.012801,       -3.261616,  101079.66,  208666.38,    9576.80,            10772.00,    15.09,  63671.84,           58228.85,     24.23,    -32.98,          40.46,  +4.36,  +2.76
  5,     UK002D,       0,  0.215471, 2459440.490383209661, 286.39008,  -5.12973,              215.34071,  27.61435,       215.35425,       27.61610,    286.39008,      -5.12973,     286.38039,       -5.12374,  2995320.25, -2904062.03,  4939511.56,      50.001693,       -3.277926,   99942.74,  209590.84,   11638.06,            12833.26,  -386.24,  51021.22,           57583.87,     26.26,    -35.75,          43.65,  +4.07,  +2.46

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.