Elementary derivation of the perturbation equations of celestial mechanics
作者:
Joseph A. Burns,
期刊:
American Journal of Physics
(AIP Available online 1976)
卷期:
Volume 44,
issue 10
页码: 944-949
ISSN:0002-9505
年代: 1976
DOI:10.1119/1.10237
出版商: American Association of Physics Teachers
数据来源: AIP
摘要:
The equations of celestial mechanics that govern the time rates of change of the orbital elements are completely derived using elementary dynamics, starting from only Newton’s equation and its solution. Two orbital equations and the four most meaningful orbital elements—semimajor axisa, eccentricitye, inclinationi, and longitude of pericenter Ω—are written in terms of the orbital energyEand angular momentum H per unit mass. The six resulting equations are differentiated with respect to time to see the effect on the orbital elements of small changes inEand H. The usual perturbation equations in terms of disturbing force components are then derived by computing the manner in which perturbing forces changeEand H. The results are applied in a qualitative discussion of the orbital evolution of particles in nonspherical gravitational fields, through atmospheres, and under the action of tides.
点击下载:
PDF
(529KB)
返 回