Orbital Analysis for matched events on 20210929_040826.924_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 104.79° Bg 33.38° Vg 56.31km/s
mass 0.00654g, abs. mag 0.8
Path Details
------------
start -1.24° 52.23° 106.02km
end   -1.30° 52.21° 96.22km

Orbit Details
-------------
Semimajor axis 1.83A.U., eccentricity 0.48, inclination 118.37°, Period 2.47Y, LA Sun 185.95°, last Perihelion 2021-09-02

Full details below
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Detailed report below graphs

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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: 2459486.672533846460
Time: 2021-09-29 04:08:26.924334 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK003R and UK003X
 Convergence angle = 16.12408 deg
 R.A. = 112.33489  Dec = +55.75948 deg

Best intersection: Stations UK003R and UK003X with Qconv = 16.12 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   1425323.09 +/- 221.51 m
 Y =   3716034.40 +/- 158.45 m
 Z =   5102252.14 +/- 437.43 m
 Vx =   -12242.79 +/- 296.68 m/s
 Vy =    29952.96 +/- 1766.96 m/s
 Vz =    47406.33 +/- 2032.21 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+2.081048e+04, -1.379435e+04, -4.118515e+04, +6.906142e+04, -2.545528e+04, -1.240550e+05
-1.379435e+04, +1.201620e+04, +2.887748e+04, -4.621227e+04, +1.896549e+04, +7.049155e+04
-4.118515e+04, +2.887748e+04, +8.813519e+04, -1.248801e+05, +4.151324e+04, +2.565020e+05
+6.906142e+04, -4.621227e+04, -1.248801e+05, +6.617632e+05, -2.503825e+05, -1.005036e+06
-2.545528e+04, +1.896549e+04, +4.151324e+04, -2.503825e+05, +1.026835e+05, +3.347410e+05
-1.240550e+05, +7.049155e+04, +2.565020e+05, -1.005036e+06, +3.347410e+05, +1.829170e+06

Timing offsets (from input data):
    UK003R: -0.001607 s
    UK003X: 0.000000 s

Reference point on the trajectory:
  Time: 2021-09-29 04:08:26.924334 UTC
  Lon     = +-1.242279 +/- 0.0038 deg
  Lat     = +52.227449 +/- 0.0019 deg
  Lat geo = +52.044020 +/- 0.0019 deg
  Ht      =  106103.08 +/- 386.05 m

  JD dynamic   = 2459486.673334587365 
  LST apparent = 69.0151717188 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      = 112.23150 +/- 1.6860 deg
  Dec       = +55.68352 +/- 0.3791 deg
  Azimuth   =  64.86173 +/- 1.1159 deg
  Elevation = +64.75885 +/- 0.8702 deg
  Vavg      =  54.56938 +/- 2.5087 km/s
  Vinit     =  57.39709 +/- 2.2056 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      = 112.60372 +/- 1.6860 deg
  Dec       = +55.51942 +/- 0.3791 deg
  Azimuth   =  65.14727 +/- 1.1159 deg
  Elevation = +64.52181 +/- 0.8702 deg
  Vavg      =  54.68204 +/- 2.5087 km/s
  Vinit     =  57.50975 +/- 2.2056 km/s
Radiant (geocentric, J2000):
  R.A.   = 112.21703 +/- 1.6729 deg
  Dec    = +55.68637 +/- 0.3828 deg
  Vg     =  56.31370 +/- 2.2430 km/s
  Vinf   =  57.39709 +/- 2.2056 km/s
  Zc     =  25.31958 +/- 0.8726 deg
  Zg     =  25.56482 +/- 0.8639 deg
Radiant (ecliptic geocentric, J2000):
  Lg     = 104.78963 +/- 1.0392 deg
  Bg     = +33.38359 +/- 0.5142 deg
  Vh     =  35.85887 +/- 2.3271 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 117.90431 +/- 1.4039 deg
  Bh     = +59.78884 +/- 0.9655 deg
  Vh_x   =   8.44441 +/- 1.3076 km/s
  Vh_y   = -15.94582 +/- 1.2741 km/s
  Vh_z   = -30.98840 +/- 1.6711 km/s
Orbit:
  La Sun = 185.945562 +/- -0.0000 deg
  a      =   1.828318 +/- 18.2266 AU
  e      =   0.482209 +/- 0.1992
  i      = 118.370768 +/- 0.6719 deg
  peri   = 146.191198 +/- 2.2335 deg
  node   = 185.947226 +/- 0.0000 deg
  Pi     = 332.138423 +/- 2.2335 deg
  q      =   0.946686 +/- 0.0033 AU
  f      =  33.808079 +/- 2.2335 deg
  M      =  10.750667 +/- nan deg
  Q      =   2.709950 +/- 36.4532 AU
  n      =   0.398682 +/- 0.1168 deg/day
  T      =   2.472170 +/- 399999978.5032 years
  Last perihelion JD = 2459459.707801 (2021-09-02 04:59:13.982762) +/- 2.3481 days
  Tj     =   2.353006 +/- 1.1319
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +1.589986e-02, +1.386243e-04, +2.908112e-01, -1.057247e-08, +4.390597e-03, +7.323857e-04
q   , +1.386243e-04, +1.538791e-05, +6.322979e-03, +2.059631e-10, +1.254649e-04, -1.430966e-05
Tp  , +2.908112e-01, +6.322979e-03, +6.466064e+00, -1.165109e-07, +1.057424e-01, +8.067020e-03
node, -1.057247e-08, +2.059631e-10, -1.165109e-07, +1.348032e-14, -1.130635e-09, -9.348648e-10
peri, +4.390597e-03, +1.254649e-04, +1.057424e-01, -1.130635e-09, +1.782624e-03, +7.817769e-05
i   , +7.323857e-04, -1.430966e-05, +8.067020e-03, -9.348648e-10, +7.817769e-05, +6.483669e-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: UK003X
  Avg. res. = 5.656e-06 s
  Stddev    = 2.38e-03 s

Begin point on the trajectory:
  Lon =    -1.242771 +/- 0.0037 deg
  Lat =    52.227307 +/- 0.0019 deg
  Ht  = 106023.07 +/- 370.67 m
End point on the trajectory:
  Lon =    -1.303936 +/- 0.0029 deg
  Lat =    52.209903 +/- 0.0014 deg
  Ht  = 96217.28 +/- 267.83 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
    UK003R,   False,    -2.379340,    51.361330,  169.00,   0.000000,   0.000000,   104719.35,    96655.04,          0.015075,      0.70,     41.76,              26.57, 1.0000,    True,    True, {"ff_name": "FF_UK003R_20210929_040827_213_0479232.fits"}
    UK003X,   False,    -2.362458,    51.684814,  132.00,   0.000000,   0.000000,   106023.07,    96217.28,          0.017582,     11.66,     40.99,              17.14, 1.0000,    True,    True, {"ff_name": "FF_UK003X_20210929_040823_276_0871424.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,     UK003R,       0,  0.022550, 2459486.672534561716, 166.75690,  60.83005,               38.56588,  39.42486,        38.56751,       39.42433,    166.75690,     +60.83005,     166.75647,      +60.82873,  1425649.40,  3715236.06,  5100988.61,      52.224998,       -1.251040,  104719.35,  162711.69,       0.00,             1529.82,   360.52,      0.00,           53992.29,      3.87,     -0.07,           4.90,  +3.32,  +2.26
  1,     UK003R,       0,  0.062850, 2459486.672535028309, 167.43373,  60.74313,               38.39706,  39.10928,        38.39321,       39.11052,    167.43373,     +60.74313,     167.43585,      +60.74625,  1426081.76,  3714178.24,  5099314.41,      52.221749,       -1.262480,  102885.97,  160923.78,    2027.03,             3556.85,    74.45,  50298.53,           53992.29,     -9.08,      0.15,          11.63,  +2.42,  +1.39
  2,     UK003R,       0,  0.103166, 2459486.672535494901, 168.12735,  60.62661,               38.24829,  38.76940,        38.21216,       38.78104,    168.12735,     +60.62661,     168.14458,      +60.65597,  1426525.19,  3713093.36,  5097597.38,      52.218413,       -1.274212,  101005.80,  159096.34,    4105.92,             5635.74,  -160.69,  51564.82,           53992.29,    -84.61,      1.42,         109.70,  +1.94,  +0.93
  3,     UK003R,       0,  0.143546, 2459486.672535962425, 168.98989,  60.52744,               38.01196,  38.37540,        37.99554,       38.38069,    168.98989,     +60.52744,     168.99857,      +60.54080,  1427049.78,  3711809.91,  5095566.07,      52.214463,       -1.288068,   98781.64,  156943.68,    6565.32,             8095.14,   -18.98,  60906.40,           53992.29,    -38.11,      0.64,          50.10,  +1.89,  +0.91
  4,     UK003R,       0,  0.183922, 2459486.672536429483, 169.82963,  60.42131,               37.78650,  37.98667,        37.78494,       37.98717,    169.82963,     +60.42131,     169.83135,      +60.42258,  1427551.39,  3710582.68,  5093623.74,      52.210681,       -1.301331,   96655.04,  154893.73,    8916.99,            10446.81,    15.23,  58244.31,           55454.84,     -3.59,      0.06,           4.78,  +3.14,  +2.19
  0,     UK003X,       0,  0.000000, 2459486.672533846460, 145.87206,  56.66512,               51.45824,  46.59308,        51.45585,       46.59357,    145.87206,     +56.66512,     145.87266,      +56.66681,  1425341.96,  3715988.24,  5102179.08,      52.227307,       -1.242771,  106023.07,  144705.46,       0.00,               88.46,   213.46,      0.00,           54754.57,     -4.18,     -1.19,           6.19,  +3.06,  +2.26
  1,     UK003X,       0,  0.040228, 2459486.672534312122, 146.37322,  56.64083,               51.30023,  46.33883,        51.33533,       46.33148,    146.37322,     +56.64083,     146.36421,      +56.61601,  1425803.50,  3714859.04,  5100391.90,      52.223840,       -1.254967,  104065.90,  142649.61,    2163.83,             2252.28,    68.32,  53789.05,           54754.57,     60.66,     17.20,          91.18,  +2.45,  +1.68
  2,     UK003X,       0,  0.080472, 2459486.672534777783, 146.88830,  56.57853,               51.18363,  46.06004,        51.20948,       46.05463,    146.88830,     +56.57853,     146.88160,      +56.56020,  1426276.65,  3713701.45,  5098559.79,      52.220283,       -1.267471,  102059.64,  140545.73,    4382.05,             4470.50,   -23.35,  55119.32,           54754.57,     44.20,     12.54,          67.43,  +2.18,  +1.44
  3,     UK003X,       0,  0.120724, 2459486.672535243910, 147.41208,  56.49602,               51.08686,  45.76732,        51.08083,       45.76858,    147.41208,     +56.49602,     147.41430,      +56.50031,  1426750.86,  3712541.24,  5096723.53,      52.216714,       -1.280009,  100048.97,  138440.82,    6605.29,             6693.75,  -110.45,  55233.12,           54754.57,    -10.21,     -2.91,          15.81,  +1.80,  +1.09
  4,     UK003X,       0,  0.161036, 2459486.672535710502, 148.05202,  56.40430,               50.95385,  45.41401,        50.92675,       45.41964,    148.05202,     +56.40430,     148.06077,      +56.42362,  1427309.37,  3711174.82,  5094560.91,      52.212506,       -1.294753,   97681.10,  135967.94,    9223.68,             9312.14,   194.15,  64953.13,           56857.87,    -45.27,    -12.92,          71.42,  +1.87,  +1.20
  5,     UK003X,       0,  0.201228, 2459486.672536175698, 148.46073,  56.35404,               50.85675,  45.19248,        50.82799,       45.19846,    148.46073,     +56.35404,     148.47038,      +56.37460,  1427654.65,  3710330.06,  5093223.92,      52.209903,       -1.303936,   96217.28,  134439.54,   10842.45,            10930.90,  -493.99,  40275.76,           55093.14,    -47.69,    -13.61,          76.09,  +4.44,  +3.80

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.