Defining the background status of a debris cloud

When a satellite fragments, a debris cloud is produced which continues to orbit the earth in its place. The fragments do not remain in the same orbit as their parent, however, and the shape of this cloud begins to evolve. Over the course of several years, the cloud changes from an ellipsoid, to a pinched torus in the parent orbital plane, to a full torus in the equatorial plane, after which time it is considered to be part of the background environment. The elapsed time between breakup and background is called the time-to-background (TTB) and is calculated differently by different researchers. This report reviews existing methods employed by programs DEBRIS and SCREEN for determining the TTB, and offers two others for consideration for a community-wide standard. It is concluded that while each method has its merits, the debris community should agree on a specific computational definition for TTB that could be used as an industry-wide standard for comparing results.