Periodic Orbits About Rotating Asteroids in Free Space.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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In this investigation of periodic orbits about asteroids rotating in free space, oscillatory orbits about equilibrium points as well as those orbits encircling the body were found. While a method was derived for finding orbits of all inclinations, only equatorial orbits are presented. The major emphasis is on stable, periodic orbits, but certain unstable orbits are presented where appropriate. The analysis assumed that asteroids could be represented by triaxial ellipsoidal bodies rotating about their major axis of inertia. Hamiltons canonical equations were derived to describe the dynamics. An algorithm was then developed and used to solve the equations of motion in such a way as to find closed, periodic orbits. Keywords equilibrium points Periodic orbits Triaxial ellipsoids. Theses
- Celestial Mechanics