  In our work we theoretically demonstrate a refractive index mapping to enable
optical analogues to celestial mechanics, where is possible to achieve light
confinement and trapping by means of a static, and planar, refractive index
mapping which could be implemented under current technological and
[meta]material constraints at optical frequencies. The mathematical and
physical background to make possible these effects bring forth an exciting
ground to test celestial mechanics in the laboratory, and provides the key to
enable miscellany of planar optical system that are of great interest to
photonic applications, namely optical time delays, transient optical memories
and random resonators.
