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This work includes analytical and numerical studies of spacecrafts orbiting two binary asteroid systems: 1999 KW4 and Didymos. The binary systems are modeled as full irregular bodies, such that the whole evolution of the results will show the impact of the irregular gravity field in the lifetime and dynamics of the spacecraft’s orbit. The equations of motion of the binary system and the spacecraft are derived from Lagrange Equations. The solar radiation pressure is consired in the dynamics of the spacecraft.Two distinct methods are used to search for stable orbits around the binary systems. One is called the grid search method, which defines the main body as a point mass to estimate the initial state of the spacecraft based on a circular Keplerian orbit. The second method is the search for periodic orbits based on zero-velocity surfaces. RESUMEN Este trabajo presenta estudios anaĺıticos y numéricos sobre naves espaciales en órbita en torno a dos asteroides binarios: 1999 KW4 y Didymos. Se modelan los sistemas binarios como cuerpos irregulares, de modo que la evolución muestre el impacto del campo de gravedad irregular sobre los tiempos de vida y la dinámica de la órbita de la nave. Se derivan las ecuaciones de movimiento del sistema binario y de la nave a partir de las ecuaciones de Lagrange. Se considera la presión de radiación solar. Se buscan órbitas estables en torno a los sistemas binarios mediante dos métodos. El primero se conoce como el método de búsqueda en la malla, y considera al cuerpo principal como punto masa para estimar el estado inicial de la nave a partir de una órbita Kepleriana circular. El segundo busca órbitas periódicas mediante las superficies de cero velocidad.

SEARCH FOR STABLE ORBITS AROUND THE BINARY ASTEROID SYSTEMS 1999 KW4 AND DIDYMOS