Accession Number:

ADA179387

Title:

Periodic Orbits About Rotating Asteroids in Free Space.

Descriptive Note:

Master's thesis,

Corporate Author:

AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s):

Report Date:

1986-12-01

Pagination or Media Count:

75.0

Abstract:

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

Subject Categories:

  • Celestial Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE