New orbital elements of Phoebe, the IX satellite of Saturn

Re-determination of Phoebe's orbit

“…Recent investigations of Phoebe's motion have been based on numerical integrations, beginning with the work of Rose (1979) and continuing with papers by Bec-Borsenberger (1982), Bykova & Shikhalev (1984), Jacobson (1998), and most recently, Arlot et al (2003). The most recent papers have made use of CCD observations of Phoebe which extend the time span of the data to almost a century.…”

The orbit of Phoebe from Earthbased and Voyager observations

“…Rose (1979 generated the first numerically integrated Phoebe orbit which he fit to observations over the period 1904 to 1969; he omitted those from Arequipa. Later integrations were done by Bec-Borsenberger & Rocher (1982) who fit observations from 1904 to 1981 and by Bykova & Shikhalev (1982, 1984 who fit observations from 1898 to 1981.…”

Analytical theory of motion of phoebe, the ninth satellite of saturn

“…In intervals of time exceeding 50 years, as may be seen from the paper by L. E. Bykova and V. V. Shikhalev (1982), the necessity arises of taking into account the effect of Titan and the oblateness of Saturn. We have an opportunity of increasing the time interval in which the analytical theory of the motion of Phoebe can be used in two ways.…”

“…The mean motion of the longitude q, of the longitude of the pericentre drl/dt andthe longitude of the node df~/dt are represented by series of the form : / ~'tx-j'r~O ~0 cO ~'0 ~ -J Having availed ourselves of the new orbital system of the elements of Phoebe (Bykova, Shikhalev, 1984) we calculated the constants of our theory with reference to the plane in which the disturbing body S moves by means of the formulas (16). …”

“…With the help of our colleague V. V. Shikhalev we made a comparison of the analytical theory with the numerical one (Bykova, Shikhalev, 1984). In the interval of time of 50 years, in every 320 days the osculating elements of Phoebe were obtained, by means of and b~ referred to the plane of the which the geocentric coordinates of the satellite ea i and b~ were Earth's equator were obtained.…”