Abstract A frozen orbit is beneficial for observation owing to its stationary apsidal line. The traditional gravitational field model of orbits only considers the main zonal harmonic terms J 2 and limited high-order terms, which cannot meet stringent demands all missions. In this study, expanded 15 Hamiltonian canonical form described by Delaunay variables used. coefficients Earth are chosen as...

The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances, which might contribute to an increase of the orbital elements, typically of the eccentricity. We concentrate our attention on the lunisolar secular resonance d...

By nodal regression and apsidal precession, the Earth flattering at satellite low Earth orbits (LEO) is manifested. Nodal regression refers to the shift of the orbit’s line of nodes over time as Earth revolves around the Sun. Nodal regression is orbit feature utilized for circular orbits to be Sun synchronized. A sun-synchronized orbit lies in a plane that maintains a fixed angle with respect t...

In this paper we calculate explicitly the secular classical precessions of the node Ω and the perigee ω of an Earth artificial satellite induced by the static, even zonal harmonics of the geopotential up to degree l = 20. Subsequently, their systematic errors induced by the mismodelling in the even zonal geopotential coefficients Jl are compared to the general relativistic secular gravitomagnet...

In this paper we calculate explicitly the secular classical precessions of the node Ω and the perigee ω of an Earth artificial satellite induced by the static, even zonal harmonics of the geopotential up to degree l = 20. Subsequently, their systematic errors induced by the mismodelling in the even zonal geopotential coefficients Jl are compared to the general relativistic secular gravitomagnet...

The focus of this paper is on inclination-only dependent lunisolar resonances, which shape the dynamics a MEO (Medium Earth Orbit) object over secular time scales (i.e. several decades). Following formalism Daquin et al. (2022), we discuss an analytical model yielding correct form separatrices each one major resonances in “action” space (i,e) (inclination, eccentricity) for any given semi-major...