Orbital Analysis for matched events on 20210813_004343.077_UK

Summary for Event
-----------------
shower ID -1 spo
Lg 75.90° Bg 53.80° Vg 42.55km/s
mass 0.02883g, abs. mag -0.9
Path Details
------------
start 1.57° 51.35° 107.54km
end   1.54° 51.31° 101.47km

Orbit Details
-------------
Semimajor axis 2.14A.U., eccentricity 0.58, inclination 78.87°, Period 3.13Y, LA Sun 140.22°, last Perihelion 2021-07-09

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: 2459439.530359697063
Time: 2021-08-13 00:43:43.077826 UTC


Plane intersections
-------------------
Intersection 1 - Stations: UK002F and UK002N
 Convergence angle = 8.73455 deg
 R.A. =  57.62566  Dec = +74.71877 deg

Best intersection: Stations UK002F and UK002N with Qconv = 8.73 deg


Least squares solution
----------------------
State vector (ECI, epoch of date):
 X =   3653259.52 +/- 892.15 m
 Y =  -1768067.27 +/- 658.51 m
 Z =   5042146.46 +/- 292.42 m
 Vx =     6557.12 +/- 9214.29 m/s
 Vy =     8678.00 +/- 7386.50 m/s
 Vz =    42604.30 +/- 10466.82 m/s

State vector covariance matrix (X, Y, Z, Vx, Vy, Vz):
+5.273450e+05, +4.242865e+05, +2.126008e+05, +9.410392e+05, +2.908239e+05, -4.714274e+06
+4.242865e+05, +3.454018e+05, +1.750745e+05, +6.323210e+05, +1.531329e+05, -4.012210e+06
+2.126008e+05, +1.750745e+05, +1.029981e+05, -2.608352e+04, -2.758669e+05, -2.960426e+06
+9.410392e+05, +6.323210e+05, -2.608352e+04, +2.900648e+07, +2.471398e+07, +3.422509e+07
+2.908239e+05, +1.531329e+05, -2.758669e+05, +2.471398e+07, +2.245606e+07, +3.867635e+07
-4.714274e+06, -4.012210e+06, -2.960426e+06, +3.422509e+07, +3.867635e+07, +1.358780e+08

Timing offsets (from input data):
    UK000C: 0.000000 s
    UK002F: 0.000000 s
    UK002N: 0.007706 s

Reference point on the trajectory:
  Time: 2021-08-13 00:43:43.077826 UTC
  Lon     = ++1.564942 +/- 0.0124 deg
  Lat     = +51.352812 +/- 0.0023 deg
  Lat geo = +51.168083 +/- 0.0023 deg
  Ht      =  107501.99 +/- 463.45 m

  JD dynamic   = 2459439.531160437968 
  LST apparent = 334.1744199352 deg
Radiant (apparent in ECI which includes Earth's rotation, epoch of date):
  R.A.      =  52.92520 +/- 49.4341 deg
  Dec       = +75.67848 +/- 7.8623 deg
  Azimuth   =  23.14973 +/- 17.2096 deg
  Elevation = +51.89407 +/- 4.6428 deg
  Vavg      =  43.56519 +/- 4.6042 km/s
  Vinit     =  43.97079 +/- 8.9221 km/s
Radiant (apparent ground-fixed, epoch of date):
  R.A.      =  53.22143 +/- 49.4341 deg
  Dec       = +75.31241 +/- 7.8623 deg
  Azimuth   =  23.72186 +/- 17.2096 deg
  Elevation = +51.77358 +/- 4.6428 deg
  Vavg      =  43.63793 +/- 4.6042 km/s
  Vinit     =  44.04353 +/- 8.9221 km/s
Radiant (geocentric, J2000):
  R.A.   =  54.87505 +/- 49.2336 deg
  Dec    = +75.51713 +/- 7.7366 deg
  Vg     =  42.54727 +/- 4.8586 km/s
  Vinf   =  43.97079 +/- 4.6978 km/s
  Zc     =  38.27584 +/- 4.6567 deg
  Zg     =  38.93012 +/- 4.8757 deg
Radiant (ecliptic geocentric, J2000):
  Lg     =  75.89821 +/- 20.3950 deg
  Bg     = +53.80171 +/- 6.8550 deg
  Vh     =  36.55709 +/- 3.1175 km/s
Radiant (ecliptic heliocentric, J2000):
  Lh     = 172.77676 +/- 30.0636 deg
  Bh     = +69.92090 +/- 9.1906 deg
  Vh_x   =  12.45107 +/- 7.6165 km/s
  Vh_y   =  -1.57807 +/- 6.6252 km/s
  Vh_z   = -34.33514 +/- 1.2918 km/s
Orbit:
  La Sun = 140.217651 +/- -0.0000 deg
  a      =   2.139349 +/- 3.7184 AU
  e      =   0.581023 +/- 0.2648
  i      =  78.871413 +/- 15.0896 deg
  peri   = 133.317196 +/- 5.7790 deg
  node   = 140.219328 +/- 0.0011 deg
  Pi     = 273.536524 +/- 5.7794 deg
  q      =   0.896337 +/- 0.0192 AU
  f      =  46.679244 +/- 5.7792 deg
  M      =  10.953137 +/- nan deg
  Q      =   3.382362 +/- 7.4430 AU
  n      =   0.314979 +/- 0.1161 deg/day
  T      =   3.129127 +/- 344827584.7606 years
  Last perihelion JD = 2459404.756968 (2021-07-09 06:10:02.044773) +/- 3.1526 days
  Tj     =   2.634077 +/- 1.3004
Shower association:
  IAU No.  =   -1
  IAU code =  ...

Orbit covariance matrix:
             e     ,     q (AU)   ,      Tp (JD) ,   node (rad) ,   peri (rad) ,    i (rad)
e   , +3.851733e-03, -1.560396e-04, +8.532144e-02, +6.325229e-07, +9.858862e-04, -9.555166e-03
q   , -1.560396e-04, +3.484276e-04, +4.068061e-02, -1.410597e-07, +1.236682e-03, +2.258293e-03
Tp  , +8.532144e-02, +4.068061e-02, +7.676389e+00, -1.359821e-06, +1.880735e-01, +3.680440e-02
node, +6.325229e-07, -1.410597e-07, -1.359821e-06, +1.686649e-10, -2.767614e-07, -2.607316e-06
peri, +9.858862e-04, +1.236682e-03, +1.880735e-01, -2.767614e-07, +5.041756e-03, +4.653129e-03
i   , -9.555166e-03, +2.258293e-03, +3.680440e-02, -2.607316e-06, +4.653129e-03, +4.037060e-02

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: UK002F
  Avg. res. = 1.921e-06 s
  Stddev    = 1.39e-03 s

Begin point on the trajectory:
  Lon =     1.565123 +/- 0.0124 deg
  Lat =    51.353078 +/- 0.0022 deg
  Ht  = 107543.67 +/- 459.34 m
End point on the trajectory:
  Lon =     1.538003 +/- 0.0126 deg
  Lat =    51.314342 +/- 0.0009 deg
  Ht  = 101474.36 +/- 573.24 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
    UK000C,    True,    -0.727590,    51.263100,   57.00, 87450.796230,   0.037380,   107029.82,   103178.38,          0.047453,       nan,       nan,              48.02, 0.0000,    True,   False, {"ff_name": "FF_UK000C_20210813_004336_154_0410624.fits"}
    UK002F,   False,    -1.306160,    51.883100,   80.00,   0.000000,   0.000000,   107543.67,   101922.95,          0.025006,     15.33,    100.90,              64.87, 1.0000,    True,    True, {"ff_name": "FF_UK002F_20210813_004337_095_0375808.fits"}
    UK002N,   False,    -0.727590,    51.263100,   57.00,   0.000000,   0.000000,   106881.43,   101474.36,          0.027899,     16.09,     92.03,              48.02, 1.0000,    True,    True, {"ff_name": "FF_UK002N_20210813_004335_437_0414208.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,     UK000C,       1,  2.169501, 2459439.530384806916,  42.77104,  27.64916,               85.61616,  32.91873,        85.63469,       32.93608,     42.77104,     +27.64916,      42.75385,      +27.65052,  3653174.28, -1768180.08,  5041592.62,      51.349945,       +1.553920,  107029.82,  193057.93,       0.00,              571.60, -94857.26,      0.00,           40417.87,    -77.33,     13.51,          83.87,  +3.01,  +1.58
  1,     UK000C,       1,  2.209665, 2459439.530385272112,  42.79959,  27.27222,               85.91003,  32.63295,        85.96747,       32.68648,     42.79959,     +27.27222,      42.72779,      +27.27637,  3652922.46, -1768513.35,  5039956.44,      51.341473,       +1.547968,  105700.36,  191928.34,    1688.66,             2260.26, -94934.64,  42044.18,           40417.87,   -238.04,     41.74,         259.71,  +2.62,  +1.20
  2,     UK000C,       1,  2.249753, 2459439.530385735910,  42.73902,  26.92940,               86.24076,  32.42637,        86.27249,       32.45586,     42.73902,     +26.92940,      42.70381,      +26.93170,  3652692.98, -1768817.05,  5038465.43,      51.333748,       +1.542530,  104488.92,  190905.31,    3227.49,             3799.09, -95158.51,  38386.27,           40417.87,   -130.77,     22.87,         143.42,  +2.01,  +0.61
  3,     UK000C,       1,  2.289877, 2459439.530386200175,  42.71393,  26.55214,               86.57183,  32.17236,        86.60442,       32.20256,     42.71393,     +26.55214,      42.67785,      +26.55449,  3652444.69, -1769145.65,  5036852.21,      51.325387,       +1.536659,  103178.38,  189807.17,    4892.46,             5464.06, -95257.82,  41495.61,           40417.87,   -133.48,     23.34,         147.24,  +1.21,  -0.18
  0,     UK002F,       0,  0.000000, 2459439.530359697063,  33.29270,  11.60605,              105.37175,  26.24713,       105.38855,       26.26101,     33.29270,     +11.60605,      33.27187,      +11.60793,  3653267.42, -1768056.81,  5042197.79,      51.353078,       +1.565123,  107543.67,  235134.50,       0.00,               52.97,    18.80,      0.00,           44222.50,    -83.12,    -12.64,          73.75,  +4.64,  +2.78
  1,     UK002F,       0,  0.040148, 2459439.530360161792,  33.23199,  11.11852,              105.75363,  25.89560,       105.75978,       25.90068,     33.23199,     +11.11852,      33.22454,      +11.11921,  3652936.91, -1768494.23,  5040050.33,      51.341958,       +1.557365,  105799.82,  234195.26,    2216.33,             2163.36,   363.86,  55204.12,           44222.50,    -30.33,     -4.62,          27.02,  +5.11,  +3.26
  2,     UK002F,       0,  0.080272, 2459439.530360626057,  33.24807,  10.84400,              105.92408,  25.66746,       105.96499,       25.70114,     33.24807,     +10.84400,      33.19778,      +10.84856,  3652754.86, -1768735.15,  5038867.51,      51.335831,       +1.553016,  104839.41,  233680.83,    3437.10,             3384.12,  -179.67,  30424.69,           44222.50,   -201.36,    -30.58,         179.78,  +1.67,  -0.17
  3,     UK002F,       0,  0.120396, 2459439.530361090321,  33.16530,  10.38509,              106.30275,  25.35057,       106.31300,       25.35899,     33.16530,     +10.38509,      33.15314,      +10.38624,  3652445.93, -1769144.00,  5036860.28,      51.325428,       +1.545752,  103209.81,  232826.93,    5508.70,             5455.73,   127.66,  51630.14,           44222.50,    -50.26,     -7.65,          45.04,  +1.17,  -0.67
  4,     UK002F,       0,  0.160508, 2459439.530361554585,  33.11635,  10.01885,              106.58881,  25.08698,       106.58845,       25.08668,     33.11635,     +10.01885,      33.11746,      +10.01881,  3652201.95, -1769466.90,  5035275.02,      51.317209,       +1.539980,  101922.95,  232161.31,    7144.81,             7091.84,     0.00,  40788.43,           43816.74,      1.74,      0.27,           1.57,  +1.66,  -0.17
  0,     UK002N,       0,  0.012835, 2459439.530359754339,  42.77482,  27.52295,               85.71911,  32.82675,        85.68737,       32.79704,     42.77482,     +27.52295,      42.81978,      +27.52062,  3653141.91, -1768222.92,  5041382.32,      51.348856,       +1.562220,  106881.43,  193455.03,       0.00,              788.66,   190.14,      0.00,           41741.01,    132.79,    -23.19,         143.73,  +3.03,  +1.60
  1,     UK002N,       0,  0.053183, 2459439.530360220931,  42.81392,  27.11770,               86.02793,  32.51392,        86.04351,       32.52843,     42.81392,     +27.11770,      42.79216,      +27.11883,  3652871.67, -1768580.57,  5039626.43,      51.339763,       +1.555845,  105455.62,  192247.19,    1812.20,             2600.85,   228.20,  44914.21,           41741.01,    -64.67,     11.35,          70.45,  +1.37,  -0.05
  2,     UK002N,       0,  0.093435, 2459439.530360687058,  42.74029,  26.79750,               86.34913,  32.33138,        86.32836,       32.31208,     42.74029,     +26.79750,      42.76982,      +26.79599,  3652656.76, -1768864.99,  5038230.07,      51.332528,       +1.550740,  104321.87,  191291.49,    3253.35,             4042.00,  -100.56,  35803.17,           41741.01,     85.80,    -15.00,          93.92,  +0.86,  -0.55
  3,     UK002N,       0,  0.133783, 2459439.530361154117,  42.70181,  26.37276,               86.72879,  32.05144,        86.70113,       32.02584,     42.70181,     +26.37276,      42.74102,      +26.37075,  3652377.19, -1769234.98,  5036413.64,      51.323113,       +1.544150,  102847.23,  190060.47,    5128.04,             5916.69,    -0.00,  46462.96,           41741.01,    113.44,    -19.82,         124.98,  +0.53,  -0.86
  4,     UK002N,       0,  0.174123, 2459439.530361620709,  42.70730,  25.97025,               87.05472,  31.75907,        87.05043,       31.75512,     42.70730,     +25.97025,      42.71396,      +25.96994,  3652116.89, -1769579.47,  5034722.37,      51.314342,       +1.538003,  101474.36,  188923.15,    6873.56,             7662.21,   -28.27,  43270.22,           42321.92,     17.45,     -3.06,          19.34,  +1.14,  -0.24

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.