Contents.
planet: 5 - Jupiter
satellites: J5 - Amalthea: 239,
J14- Thebe : 50
total number: 289
type: absolute
dates: 2000-2001
observatory: Cassini space probe
Reference
Cooper, N. J.; Murray, C. D.; Porco, C. C.; Spitale, J. N. (2006)
Cassini ISS astrometric observations of the inner jovian satellites, Amalthea and Thebe
Icarus. Vol. 81. P. 223-234.
2006Icar__181__223C
Informations.
relative to: absolute
reference frame: astrometric
centre of frame: Cassini space probe
epoch of equinox: ICRF
time scale: UTC
reduction: Hubble Space Telescope Guide Star Catalog (version GSC 2.2)
coordinates: sample and line of the satellite (the origin of the coordinate system is the center of the top left pixel of the frame, with
line increasing downwards and sample to the right)
diff. refraction: no information
receptor: CCD
telescope: Cassini ISS narrow angle camera (NAC)
observers: Cassini space probe
data included in standard data file: no
Comments.
1. The sample and line coordinates give the 'centre-of-light' coordinates of the satellites. To obtain the 'centre-of-mass' positions,
it is necesary to make phase corrections described in the section 2.3 of the article (see Reference above). However, note that for
observations made in 2000 phase angles were small so that phase corrections are negligible.
2. To fit satellite orbits to observations, Cooper et al. (see Reference above) give formulae for calculation of modelled values of
sample and line coordinates (see Appendix A in the article).
3. For estimations of absolute coordinates of the satellites, the following set of formulae should be used (based on algorithm described in
Tajeddine et al. (2013), see formulae (4)–(6)):
a. First, it is necessary to calculate the rectangular coordinates of the satellite in the image:
\begin{equation*}
\begin{pmatrix}
X\\
Y
\end{pmatrix} = \sigma
\begin{pmatrix}
\rho & 0 \\
0 & \rho
\end{pmatrix}
\begin{pmatrix}
\cos \theta & -\sin \theta \\
\sin \theta & \cos \theta
\end{pmatrix}
\begin{pmatrix}
s-s_0\\
l-l_0
\end{pmatrix}
\end{equation*}
where: σ is 1.0, 2.0, or 4.0 for images with the frame size of 1024, 512, or 256 pixels, respectively;
ρ = 1.2354 arcsec per pixel;
θ is the camera's twist angle;
(s0, l0) are the coordinates of the frame's centre, i.e. (511.5, 511.5), (255.5, 255.5), or (127.5, 127.5) for images with the frame
size of 1024, 512, or 256 pixels, respectively;
(s, l) are the satellite's sample and line coordinates. Note that the origin of the image sample and line coordinate system is at the
center of the top left pixel, with line increasing downwards and sample to the right. This is why the formula above slightly differs
from the formula (4) in Tajeddine et al. (2013) where the origin is at the center of the bottom left pixel.
b. Then, the satellite's absolute coordinates can be obtained from the formulae:
\begin{equation*}
\alpha=\alpha_c+\arctan\left(\frac{X}{\cos \delta_c - Y \sin \delta_c}\right)
\end{equation*}
\begin{equation*}
\delta=\arctan\left(\frac{\sin \delta_c + Y \cos \delta_c}{\sqrt{X^2+(\cos \delta_c - Y \sin \delta_c)^2}}\right)
\end{equation*}
where αc and δc are absolute coordinates of the camera's pointing vector orientation.
Format.
1. Image identification number (Frame)
2. Year of the date of the observation
3. Month of the date of the observation
4. Day of the date of the observation
5. Hour of the observation time (image mid-time)
6. Minute of the observation time (image mid-time)
7. Seconds of the observation time (image mid-time)
8. Size of the frame (pixels)
9. Right ascension of the camera's pointing vector orientation (RAc, degrees)
10. Declination of the camera's pointing vector orientation (DEc, degrees)
11. The camera's twist angle (twist, degrees)
12. Sample coordinate of the satellite in the image (sample, pixels)
13. Line coordinate of the satellite in the image (line, pixels)
14. Index of the satellite, N (05 - Amalthea, 14 - Thebe)
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Frame Year Day Time Size RAc DEc twist sample line N
Month h m s pixels degrees degrees degrees pixels pixels
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