Alternative Tesla/booster ephems

From: Bill Gray via Seesat-l <seesat-l_at_satobs.org>
Date: Wed, 7 Feb 2018 13:03:12 -0500
Hello all,

    In my previous message,  I assumed that C3 really was 12 km^2/s^2.
Following is what you get if the q/Q values are roughly correct.

    They lead to _very_ different ephemerides,  unfortunately.  Both,
unsurprisingly,  favor observing in southern morning skies.
However,  they're about 20 degrees apart.

    If anybody got observations _after_ the final burn,  we might be
able to settle the matter pretty quickly.  Ideally,  an RA/dec measured
from an image at a particular location at a particular time.  Even a
single such observation ought to rubbish one of these orbit solutions
(hopefully,  not both of them!)

    Anyway.  _If_ it's actually the q and Q from Mr. Musk's tweet that
are right,  and (as before) we assume the objects sped up at 02:30
UTC along their existing velocity vector until they were going fast
enough to have those elements,  we get...

Orbital elements:  Sped-up
    Perihelion 2018 Jan 28.639832 TT = 15:21:21 (JD 2458147.139832)
Epoch 2018 Feb  9.0 TT = JDT 2458158.5   Earth MOID: 0.0000   Ma: 0.0934
M   4.63650                         (J2000 ecliptic)
n   0.40813685     Peri.  168.57287
a   1.79997100     Node   317.89354
e   0.4554736      Incl.    3.36051
P   2.41/882.04d    q 0.98013165  Q 2.61981035

Orbital elements:  Sped-up
    Perigee 2018 Feb 7.107275 TT =  2:34:28 (JD 2458156.607275)
Epoch 2018 Feb  8.0 TT = JDT 2458157.5                        Gray
q  7133.54306km                     (J2000 equator)
                    Peri.  148.15635
                    Node   285.92927
e   1.7405665      Incl.   28.92091

    (called 'Sped-up' because it requires a boost in speed over the
earlier C3=12 km^2/s^2 solution.)

    And,  as before,  the following synthetic astrometry can be pushed
through Find_Orb to get customized topocentric ephemerides.

-- Bill

Sped-up       C2018 02 07.50000 13 09 49.141-28 13 37.84                SynthE12
Sped-up       C2018 02 07.51000 13 10 00.415-28 16 51.34                SynthE12
Sped-up       C2018 02 07.52000 13 10 09.875-28 19 55.93                SynthE12
Sped-up       C2018 02 07.53000 13 10 17.643-28 22 51.71                SynthE12
Sped-up       C2018 02 07.54000 13 10 23.830-28 25 38.73                SynthE12
Sped-up       C2018 02 07.55000 13 10 28.549-28 28 17.06                SynthE12
Sped-up       C2018 02 07.56000 13 10 31.903-28 30 46.74                SynthE12
Sped-up       C2018 02 07.57000 13 10 33.997-28 33 07.83                SynthE12
Sped-up       C2018 02 07.58000 13 10 34.929-28 35 20.39                SynthE12
Sped-up       C2018 02 07.59000 13 10 34.796-28 37 24.47                SynthE12
Sped-up       C2018 02 07.60000 13 10 33.691-28 39 20.14                SynthE12
Sped-up       C2018 02 07.61000 13 10 31.706-28 41 07.47                SynthE12
Sped-up       C2018 02 07.62000 13 10 28.928-28 42 46.56                SynthE12
Sped-up       C2018 02 07.63000 13 10 25.443-28 44 17.48                SynthE12
Sped-up       C2018 02 07.64000 13 10 21.334-28 45 40.35                SynthE12
Sped-up       C2018 02 07.65000 13 10 16.684-28 46 55.28                SynthE12
Sped-up       C2018 02 07.66000 13 10 11.569-28 48 02.41                SynthE12
Sped-up       C2018 02 07.67000 13 10 06.066-28 49 01.87                SynthE12
Sped-up       C2018 02 07.68000 13 10 00.248-28 49 53.83                SynthE12
Sped-up       C2018 02 07.69000 13 09 54.186-28 50 38.45                SynthE12
Sped-up       C2018 02 07.70000 13 09 47.948-28 51 15.92                SynthE12
Sped-up       C2018 02 07.71000 13 09 41.599-28 51 46.43                SynthE12
Sped-up       C2018 02 07.72000 13 09 35.202-28 52 10.19                SynthE12
Sped-up       C2018 02 07.73000 13 09 28.818-28 52 27.42                SynthE12
Sped-up       C2018 02 07.74000 13 09 22.502-28 52 38.35                SynthE12
Sped-up       C2018 02 07.75000 13 09 16.310-28 52 43.23                SynthE12
Sped-up       C2018 02 07.76000 13 09 10.292-28 52 42.32                SynthE12
Sped-up       C2018 02 07.77000 13 09 04.497-28 52 35.86                SynthE12
Sped-up       C2018 02 07.78000 13 08 58.969-28 52 24.14                SynthE12
Sped-up       C2018 02 07.79000 13 08 53.750-28 52 07.43                SynthE12
Sped-up       C2018 02 07.80000 13 08 48.881-28 51 46.01                SynthE12
Sped-up       C2018 02 07.81000 13 08 44.396-28 51 20.19                SynthE12
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Received on Wed Feb 07 2018 - 12:04:09 UTC

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