A "heliocentric orbit" refers to the path followed by an object around the Sun. It means that an object, such as a planet or a satellite, is not fixed in one place, but instead revolves around the Sun. Full definition
However, just putting it on an elliptical heliocentric orbit is easy. (syfy.com)
«Otherwise, the data rates just become very slow,» she said, since a spacecraft in orbit around the sun (known as heliocentric orbit) would eventually drift far from Earth. (space.com)
The new look SIRTF will be considerably smaller, and instead of orbiting the Earth it will be fired into a heliocentric orbit — following the Earth in an orbit around the Sun. (newscientist.com)