Department of Astronomy and Space Science

ASTR 442


Course No.

Course Title

No. of Units






Astr 442

Celestial Mechanics (2)




Astr 341


Objectives of the course :

      The aim of this course is to give the students an advanced study of some problems concerning the motion of celestial bodies and the methods of their solutions .

Course Description:

      This course contains the following subjects : The three-body problem. Restricted problem of the three bodies. The surface of zero relative velocity. Perturbation theory. Lagrange's equations of planetary motions and their applications on the lunar motion. The two-body problem and the motion of artificial satellites. Hamilton canonical equations and their applications on the two-body problem. The solution of Hamilton - Jacoby equations for the two-body problem. Regular equations for artificial satellites mechanics. The effect of radiation pressure on the motion of artificial satellites. Prediction of artificial satellites on the Earth's gravitational field with axial symmetry .

Main text and subsidiary books:

-          Orbital and celestial mechanics: 1998, John, P. Vinti. Edited by Gim, J. Der. Nono. L .  Bonavito. AIAA Education Series, USA .

-          An introduction to mathematics and method of Astrodynamics: 1999, Battin. AIAA  Education Series, USA .

Satellite orbits: 2000, O. Montenbruck. Springer, Germany
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Last Update 10/16/2009 1:12:19 AM