We study the dynamics of the space debris in the 1: 1 and 2: 1 resonances, where
geosynchronous and GPS satellites are located. By using Hamiltonian formalism, we …

This paper provides a method for finding initial conditions of frozen orbits for a probe around
Mercury. Frozen orbits are those whose orbital elements remain constant on average. Thus …

Longitude‐dependent terms of the geopotential cause nonnegligible short‐period effects in
orbit propagation of artificial satellites. Hence, accurate analytical and semianalytical …

The increasing number of objects orbiting the earth justifies the great attention and interest
in the observation, spacecraft protection, and collision avoidance. These studies involve …

We study the dynamics of the space debris in regions corresponding to minor resonances;
precisely, we consider the resonances 3: 1, 3: 2, 4: 1, 4: 3, 5: 1, 5: 2, 5: 3, 5: 4, where aj: ℓ j: ℓ …

We confront stability results over long time scales, considering alternately the averaged and
the non-averaged theory to propagate the equations of motion of a celestial body orbiting …

Synchronous satellites have been studied in literature, due to the research of resonant
orbits. In this work, CBERS-2 (China-Brazil Earth Resource Satellite) satellite is investigated …

As space becomes more congested, contested, and competitive, high-accuracy orbital
predictions become critical for space operations. Current orbit propagators use the two-body …

The increasing number of objects orbiting the earth justifies the great attention and interest
in the observation, spacecraft protection, and collision avoidance. These studies involve …

Abstract The Vinti Solution offers a more accurate model than the two-body problem as an
orbital propagator. Unfortunately, the Vinti solution contains small divisors near orbital …