Stability and Evolution of Orbits around the Binary Asteroid 175706 (1996 FG3): Implications for the MarcoPolo-R Mission

Kurzfassung

In support of the MarcoPolo-R mission,we have carried out numerical simulations of spacecraft trajectories about the binary asteroid 175706 (1996FG3)under the influence of solar radiation pressure. We study the effects of(1) the asteroid’s mass, shape, and rotational parameters, (2) the secondary’s mass, shape, andorbit parameters, (3) the spacecraft’s mass, surface area, and reflectivity, and (4) the time of arrival, and therefore the relative position to the sun and planets. We have considered distance regimes between 5 and 20 km, the typical range for a detailed characterization of the asteroids–primary and secondary with imaging systems, spectrometers and by laser altimetry. With solar radiation pressure and gravity forces of thesmall asteroid competing,orbits are found to be unstable, in general. However, limited orbital stability can be found in the so-called Self-Stabilized Terminator Orbits (SSTO), where initial orbits are circular, orbital planes are oriented approximately perpendicular to the solar radiation pressure, and where the orbital plane of the spacecraft is shifted slightly (between 0.2 and 1 km) from the asteroid in the direction away from the sun. Under the effect of radiation pressure, the vector perpendicular to the orbit plane is observed to follow the sun direction. Shape and rotation parameters of the asteroid as well as gravitational perturbations by the secondary (not to mention sun and planets) were found not to affect the results. Such stable orbits may be suited for long radio tracking runs, which will allow for studying the gravity field. As the effect of the solar radiation pressure depends on the spacecraft mass, shape, and albedo, good knowledge of the spacecraft model and persistent monitoring of the spacecraft orientation are required.