Orbital Analysis for matched events on 20210813_234210.232_UK

Summary for Event
-----------------
shower ID 7 PER
Lg 63.85° Bg 38.48° Vg 57.34km/s
mass 0.03905g, abs. mag -0.6
Path Details
------------
start -4.01° 49.80° 109.92km
end   -4.14° 49.70° 98.44km

Orbit Details
-------------
Semimajor axis 4.91A.U., eccentricity 0.81, inclination 111.96°, Period 10.89Y, LA Sun 141.14°, last Perihelion 2021-07-22

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: 2459440.487618430983
Time: 2021-08-13 23:42:10.232437 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK0024 and UK003E
 Convergence angle = 7.52737 deg
 R.A. =  48.57748  Dec = +58.30531 deg

Best intersection: Stations UK0024 and UK003E with Qconv = 7.53 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   2923061.38 +/- 132.19 m
 Y =  -3010421.03 +/- 407.14 m
 Z =   4932288.05 +/- 28.09 m
 Vx =    20092.59 +/- 1119.03 m/s
 Vy =    22827.63 +/- 2129.75 m/s
 Vz =    49855.83 +/- 1243.39 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+1.593506e+04, -4.739658e+04, +2.036962e+03, +6.678176e+04, -2.377867e+05, -1.245346e+04
-4.739658e+04, +1.458266e+05, -5.896203e+03, -2.021617e+05, +7.364100e+05, +3.635529e+04
+2.036962e+03, -5.896203e+03, +7.367594e+02, +7.836588e+03, -3.050013e+04, -1.461250e+03
+6.678176e+04, -2.021617e+05, +7.836588e+03, +3.127019e+05, -1.136557e+06, -6.097313e+04
-2.377867e+05, +7.364100e+05, -3.050013e+04, -1.136557e+06, +4.282059e+06, +2.364963e+05
-1.245346e+04, +3.635529e+04, -1.461250e+03, -6.097313e+04, +2.364963e+05, +2.130139e+04

Timing offsets (from input data):
    UK0024: 0.000000 s
    UK003E: -0.000727 s

Reference point on the trajectory:
  Time: 2021-08-13 23:42:10.232437 UTC
  Lon     = +-4.009639 +/- 0.0026 deg
  Lat     = +49.797703 +/- 0.0025 deg
  Lat geo = +49.611089 +/- 0.0025 deg
  Ht      =  109919.19 +/- 259.93 m

  JD dynamic   = 2459440.488419171888 
  LST apparent = 314.1564856220 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  48.64617 +/- 3.3060 deg
  Dec       = +58.61791 +/- 1.0422 deg
  Azimuth   =  41.72342 +/- 0.2920 deg
  Elevation = +38.73569 +/- 2.0339 deg
  Vavg      =  57.76771 +/- 0.8942 km/s
  Vinit     =  58.39877 +/- 0.7881 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  48.60149 +/- 3.3060 deg
  Dec       = +58.36310 +/- 1.0422 deg
  Azimuth   =  42.00938 +/- 0.2920 deg
  Elevation = +38.61066 +/- 2.0339 deg
  Vavg      =  57.92714 +/- 0.8942 km/s
  Vinit     =  58.55820 +/- 0.7881 km/s
Radiant (geocentric, J2000):
  R.A.   =  49.01968 +/- 3.2712 deg
  Dec    = +58.25151 +/- 1.0607 deg
  Vg     =  57.33509 +/- 0.8022 km/s
  Vinf   =  58.39877 +/- 0.7881 km/s
  Zc     =  51.40370 +/- 2.0344 deg
  Zg     =  51.91060 +/- 2.0434 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  63.84563 +/- 1.6987 deg
  Bg     = +38.47712 +/- 1.5529 deg
  Vh     =  39.63387 +/- 0.2713 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     =  84.73691 +/- 2.2179 deg
  Bh     = +64.17067 +/- 3.0120 deg
  Vh_x   =  -1.58399 +/- 0.5863 km/s
  Vh_y   = -17.19535 +/- 2.0147 km/s
  Vh_z   = -35.67428 +/- 0.7826 km/s
Orbit:
  La Sun = 141.136923 +/- 0.0000 deg
  a      =   4.913546 +/- 0.9487 AU
  e      =   0.807246 +/- 0.0264
  i      = 111.957879 +/- 2.1199 deg
  peri   = 148.673787 +/- 4.8062 deg
  node   = 141.135913 +/- 0.0002 deg
  Pi     = 289.809701 +/- 4.8063 deg
  q      =   0.947106 +/- 0.0236 AU
  f      =  31.322299 +/- 4.8061 deg
  M      =   2.063601 +/- 0.2091 deg
  Q      =   8.879986 +/- 1.9195 AU
  n      =   0.090492 +/- 0.0147 deg/day
  T      =  10.891638 +/- 3.5997 years
  Last perihelion JD = 2459417.684255 (2021-07-22 04:25:19.660100) +/- 2.7381 days
  Tj     =   0.630281 +/- 0.1626
Shower association:
  IAU No.  =    7
  IAU code =  PER

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +6.616141e-04, -5.385549e-04, -6.428087e-02, -6.655555e-08, -1.961142e-03, +8.812278e-04
q   , -5.385549e-04, +4.693781e-04, +5.657346e-02, +5.729887e-08, +1.717100e-03, -7.584448e-04
Tp  , -6.428087e-02, +5.657346e-02, +7.078402e+00, +6.961886e-06, +2.117542e-01, -9.254670e-02
node, -6.655555e-08, +5.729887e-08, +6.961886e-06, +7.085048e-12, +2.106978e-07, -9.388964e-08
peri, -1.961142e-03, +1.717100e-03, +2.117542e-01, +2.106978e-07, +6.370265e-03, -2.796294e-03
i   , +8.812278e-04, -7.584448e-04, -9.254670e-02, -9.388964e-08, -2.796294e-03, +1.244846e-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: UK0024
  Avg. res. = 1.511e-06 s
  Stddev    = 1.23e-03 s

Begin point on the trajectory:
  Lon =    -4.009617 +/- 0.0025 deg
  Lat =    49.797719 +/- 0.0025 deg
  Ht  = 109921.17 +/- 264.20 m
End point on the trajectory:
  Lon =    -4.141162 +/- 0.0021 deg
  Lat =    49.702958 +/- 0.0020 deg
  Ht  = 98442.37 +/- 176.44 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
    UK0024,   False,    -2.949770,    50.877440,   82.00,   0.000000,   0.000000,   109921.17,    98442.37,          0.009981,     26.65,     17.52,             104.96, 1.0000,    True,    True, {"ff_name": "FF_UK0024_20210813_234207_059_0314368.fits"}
    UK003E,   False,    -1.802002,    51.351948,  130.00,   0.000000,   0.000000,   108211.52,    99284.00,          0.007798,     27.00,     23.39,             117.63, 1.0000,    True,    True, {"ff_name": "FF_UK003E_20210813_234206_777_0318464.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,     UK0024,       0,  0.000000, 2459440.487618430983, 289.70536,   2.29931,              212.54692,  36.87905,       212.54635,       36.87899,    289.70536,      +2.29931,     289.70558,       +2.29910,  2923062.47, -3010419.79,  4932290.75,      49.797719,       -4.009617,  109921.17,  180356.41,       0.00,                3.17,   497.18,      0.00,           55106.68,     -0.79,      1.20,           1.65,  +3.30,  +2.02
  1,     UK0024,       0,  0.040464, 2459440.487618899439, 289.43022,   1.76336,              212.64192,  36.28153,       212.65383,       36.28287,    289.43022,      +1.76336,     289.42163,       +1.76789,  2922394.44, -3011178.76,  4930633.16,      49.787726,       -4.023549,  108706.40,  180793.89,    1941.63,             1938.46,    69.42,  47984.09,           55106.68,     16.78,    -25.55,          34.88,  +1.95,  +0.66
  2,     UK0024,       0,  0.081012, 2459440.487619368825, 289.09672,   1.15620,              212.77324,  35.59707,       212.77482,       35.59724,    289.09672,      +1.15620,     289.09573,       +1.15680,  2921621.90, -3012056.46,  4928716.25,      49.776162,       -4.039635,  107302.01,  181323.77,    4187.00,             4183.83,   -53.16,  55375.62,           55106.68,      2.25,     -3.42,           4.65,  +0.96,  -0.33
  3,     UK0024,       0,  0.121612, 2459440.487619838677, 288.74127,   0.47389,              212.89625,  34.83433,       212.90636,       34.83547,    288.74127,      +0.47389,     288.73418,       +0.47780,  2920758.08, -3013037.87,  4926572.85,      49.763223,       -4.057600,  105732.23,  181946.81,    6697.68,             6694.52,    86.53,  61839.53,           55106.68,     14.61,    -22.25,          30.17,  +0.89,  -0.41
  4,     UK0024,       0,  0.162148, 2459440.487620308064, 288.40212,  -0.10249,              213.04261,  34.17655,       213.01910,       34.17392,    288.40212,      -0.10249,     288.41997,       -0.11164,  2920003.27, -3013895.42,  4924699.94,      49.751910,       -4.073319,  104361.03,  182518.55,    8891.52,             8888.35,   -86.88,  54120.69,           55592.38,    -34.35,     52.24,          70.66,  +0.69,  -0.62
  5,     UK0024,       0,  0.202728, 2459440.487620777451, 288.06174,  -0.76087,              213.15413,  33.44120,       213.14169,       33.43981,    288.06174,      -0.76087,     288.07166,       -0.76575,  2919159.94, -3014853.54,  4922607.39,      49.739262,       -4.090860,  102829.54,  183185.85,   11342.64,            11339.47,    -5.59,  60402.18,           56418.85,    -18.40,     27.98,          37.70,  +0.56,  -0.75
  6,     UK0024,       0,  0.243284, 2459440.487621246837, 287.73671,  -1.39532,              213.25638,  32.73353,       213.25777,       32.73369,    287.73671,      -1.39532,     287.73649,       -1.39477,  2918342.96, -3015781.73,  4920580.22,      49.727001,       -4.107858,  101346.42,  183861.47,   13717.17,            13714.00,     0.52,  58549.42,           56942.18,      2.08,     -3.16,           4.24,  +0.61,  -0.71
  7,     UK0024,       0,  0.283872, 2459440.487621716689, 287.38091,  -2.04313,              213.38534,  32.00259,       213.37602,       32.00155,    287.38091,      -2.04313,     287.38896,       -2.04685,  2917489.44, -3016751.44,  4918462.36,      49.714183,       -4.125608,   99797.52,  184597.22,   16197.93,            16194.76,   110.99,  61120.47,           57508.72,    -14.11,     21.46,          28.69,  +0.59,  -0.74
  8,     UK0024,       0,  0.324380, 2459440.487622185610, 287.07376,  -2.60705,              213.49285,  31.36712,       213.47767,       31.36543,    287.07376,      -2.60705,     287.08649,       -2.61315,  2916742.43, -3017600.12,  4916608.82,      49.702958,       -4.141162,   98442.37,  185266.82,   18369.07,            18365.91,   -83.48,  53597.97,           57512.60,    -23.22,     35.31,          47.05,  +1.17,  -0.17
  9,     UK0024,       1,  0.364840, 2459440.487622654065, 286.79307,  -3.10852,              213.59517,  30.79934,       213.56780,       30.79630,    286.79307,      -3.10852,     286.81541,       -3.11959,  2916069.62, -3018364.52,  4914939.38,      49.692841,       -4.155188,   97222.17,  185890.23,   20324.59,            20321.42,  -490.78,  48332.00,           57015.14,    -42.29,     64.26,          85.35,  +4.74,  +3.39
  0,     UK003E,       0,  0.055204, 2459440.487618956715, 277.37093,  -6.23106,              222.98192,  23.43849,       222.99167,       23.43855,    277.37093,      -6.23106,     277.36283,       -6.22718,  2922122.24, -3011488.01,  4929957.75,      49.783652,       -4.029178,  108211.52,  260651.45,       0.00,             2729.60,    -0.26,      0.00,           58797.14,     26.63,    -30.76,          32.20,  +2.15,  +0.07
  1,     UK003E,       0,  0.095636, 2459440.487619424704, 277.14320,  -6.63994,              223.01370,  22.97209,       222.99725,       22.97199,    277.14320,      -6.63994,     277.15710,       -6.64652,  2921309.68, -3012411.17,  4927941.56,      49.771487,       -4.046087,  106734.57,  261692.81,    2361.68,             5091.28,     0.24,  58411.09,           58797.14,    -45.31,     52.29,          54.53,  +1.03,  -1.06
  2,     UK003E,       0,  0.136068, 2459440.487619892694, 276.94621,  -7.06675,              223.00668,  22.50264,       223.00279,       22.50262,    276.94621,      -7.06675,     276.94981,       -7.06832,  2920485.59, -3013347.45,  4925896.73,      49.759140,       -4.063233,  105237.17,  262766.42,    4756.89,             7486.49,    34.28,  59240.60,           58797.14,    -10.81,     12.48,          12.96,  +0.84,  -1.26
  3,     UK003E,       0,  0.176492, 2459440.487620360684, 276.74780,  -7.48296,              223.00560,  22.04224,       223.00821,       22.04225,    276.74780,      -7.48296,     276.74611,       -7.48191,  2919670.68, -3014273.28,  4923874.69,      49.746923,       -4.080189,  103756.98,  263845.33,    7125.41,             9855.01,    42.08,  58591.88,           58797.14,      7.28,     -8.40,           8.69,  +0.83,  -1.28
  4,     UK003E,       0,  0.216880, 2459440.487620827742, 276.56301,  -7.86195,              223.00824,  21.62133,       223.01330,       21.62136,    276.56301,      -7.86195,     276.55941,       -7.85990,  2918919.82, -3015126.35,  4922011.57,      49.735660,       -4.095824,  102393.57,  264854.98,    9307.79,            12037.39,  -134.15,  54035.22,           57840.00,     14.22,    -16.42,          16.92,  +0.75,  -1.37
  5,     UK003E,       0,  0.257320, 2459440.487621296197, 276.35413,  -8.29169,              223.01015,  21.14443,       223.01874,       21.14448,    276.35413,      -8.29169,     276.34769,       -8.28820,  2918061.86, -3016101.10,  4919882.72,      49.722781,       -4.113666,  100836.24,  266024.93,   11801.42,            14531.02,    -2.16,  61662.54,           58112.69,     24.33,    -28.09,          28.81,  +0.88,  -1.24
  6,     UK003E,       0,  0.297752, 2459440.487621764187, 276.14003,  -8.71284,              223.02050,  20.67314,       223.02408,       20.67316,    276.14003,      -8.71284,     276.13799,       -8.71137,  2917206.39, -3017073.01,  4917760.05,      49.709931,       -4.131454,   99284.00,  267209.68,   14287.81,            17017.41,   123.05,  61495.74,           58572.65,     10.24,    -11.82,          12.07,  +1.02,  -1.11
  7,     UK003E,       1,  0.338032, 2459440.487622230314, 276.02545,  -8.99728,              222.99863,  20.36768,       223.02825,       20.36787,    276.02545,      -8.99728,     276.00134,       -8.98513,  2916648.58, -3017706.75,  4916375.94,      49.701547,       -4.143112,   98272.11,  267994.44,   15909.09,            18638.69,  -607.97,  40250.25,           57243.16,     85.01,    -98.22,          99.97,  +4.98,  +2.84

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.