R-Toroid as a Three-Dimensional Generalization of a Gaussian Ring and Its Application in Astronomy     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astronomy Reports》2021,65(5):412-426

Astronomy Reports - A new analytical model (R-toroid), representing a 3D generalization of the precessing Gaussian ring, is constructed for the study of secular perturbations in celestial...  相似文献   

Study of the Secular Evolution of Circumbinary Systems Using R-Toroid and Gaussian Ring Models     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astronomy Reports》2021,65(7):588-597

Astronomy Reports - Two methods have been developed to study secular (apsidal and nodal) orbital precession in circumbinary systems consisting of a binary star and an exoplanet. The first method is...  相似文献   

Secular Evolution of Rings around Rotating Triaxial Gravitating Bodies     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astronomy Reports》2020,64(10):870-875

Astronomy Reports - The problem of the secular evolution of a thin ring around a rapidly rotating triaxial celestial body is formulated and solved. The technology for calculating secular...  相似文献   

Zonal harmonics of azimuthally averaged potential of rotating inhomogeneous ellipsoids     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astrophysics and Space Science》2021,366(6):1-16

The distant retrograde orbits (DROs) can serve as the parking orbits for a long-term cis-lunar space station. This paper gives a comprehensive study on the transfer problem from DROs to Earth orbits, including low Earth orbits (LEOs), medium Earth orbits (MEOs), and geosynchronous orbits (GSOs), in the bicircular restricted four-body problem (BR4BP) via optimizations within a large solution space. The planar transfer problem is firstly solved by grid search and optimization techniques, and two types of transfer orbits, direct ones and low-energy ones, are both constructed. Then, the nonplanar transfer problem to Earth orbits with inclinations between 0 and 90 degrees are solved via sequential optimizations based on the planar transfers. The transfer characteristics in the cases of different destination orbit inclinations are discussed for both the direct and the low-energy transfer orbits. The important role of the lunar gravity in the low-energy transfers is also discussed, which can overcome the increase of transfer cost caused by the high inclination of Earth orbits. The distinct features of different transfer scenarios, including multiple revolutions around the Earth and Moon, the exterior phase, and the lunar flyby, are discovered. The energy of transfer orbits is exploited to discuss the effects of close lunar flybys. The results will be helpful for the transfer design in future manned or unmanned return missions, and can also provide valuable information for selecting proper parking DROs for cis-lunar space stations.

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Mutual Gravitational Energy of Gaussian Rings and the Problem of Perturbations in Celestial Mechanics     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astronomy Reports》2020,64(5):434-446

Astronomy Reports - A new approach to the study of long-period and secular perturbations in celestial mechanics is developed. In contrast to the traditional use of the apparatus of the perturbing...  相似文献   

The Precession of Test Orbits in the Circumbinary Exoplanet Systems     

Kondratyev  B. P.  Kornoukhov  V. S. 《Astronomy Reports》2022,66(11):1063-1073

Astronomy Reports - The new analytical R-toroid method is applied to study the apsidal and nodal precession of test orbits in the circumbinary exo-systems Kepler-16, Kepler-35, Kepler-38,...  相似文献