Quasi-critical orbits for artificial lunar satellites |
| |
| Authors: | S Tzirti K Tsiganis H Varvoglis |
| |
| Institution: | (1) Section of Astrophysics Astronomy & Mechanics, Department of Physics, University of Thessaloniki, 54124 Thessaloniki, Greece |
| |
| Abstract: | We study the problem of critical inclination orbits for artificial lunar satellites, when in the lunar potential we include,
besides the Keplerian term, the J
2 and C
22 terms and lunar rotation. We show that, at the fixed points of the 1-D averaged Hamiltonian, the inclination and the argument
of pericenter do not remain both constant at the same time, as is the case when only the J
2 term is taken into account. Instead, there exist quasi-critical solutions, for which the argument of pericenter librates around a constant value. These solutions are represented by smooth
curves in phase space, which determine the dependence of the quasi-critical inclination on the initial nodal phase. The amplitude
of libration of both argument of pericenter and inclination would be quite large for a non-rotating Moon, but is reduced to
<0°.1 for both quantities, when a uniform rotation of the Moon is taken into account. The values of J
2, C
22 and the rotation rate strongly affect the quasi-critical inclination and the libration amplitude of the argument of pericenter.
Examples for other celestial bodies are given, showing the dependence of the results on J
2, C
22 and rotation rate. |
| |
| Keywords: | Lunar artificial satellite Critical inclination C 22 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
