Linear problems of the stability of a type of rotation of a satellite about the centre of mass

✍ Scribed by A.P. Markeyev

• Book ID: 104020623
• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 422 KB
• Volume: 72
• Category: Article
• ISSN: 0021-8928
• DOI: 10.1016/j.jappmathmech.2008.07.002

✦ Synopsis

The stability in the first approximation of the rotation of a satellite about a centre of mass is investigated. In the unperturbed motion the satellite performs, in absolute space, three rotations around the normal to the orbital plane in a time equal to two periods of rotation of its centre of mass in the orbit (Mercurytype rotation). Three cases of such rotations are considered: the rotations of a dynamically symmetrical satellite and a satellite, the central ellipsoid of inertia of which is close to a sphere, in an elliptic orbit of arbitrary eccentricity, and the rotation of a satellite with three different principal central moments of inertia in a circular orbit.