Chapter 7.8, Problem 16CC

Eclipses, both solar and lunar, follow a cycle of just over 18 years [yr], specifically 6,585.32 days [d]. This is called the Saros Cycle. One Saros Cycle after any given eclipse, an almost identical eclipse will occur due to fact that the Earth, the Moon. and the Sun are in essentially the same positions relative to each other. The Sun, and the entire solar system, is moving relative to the Cosmic Microwave Background Radiation (the largest detectable frame of reference) at roughly 370 kilometers per second [km/s). How far does our solar system travel through the universe in one Saros Cycle? Express your answer in the following units:

a. meters [m], with an appropriate Sl prefix such that there are only one, two, or three dtgtts shown to the left of the decimal.

b. light-years: one light year= 9.46 × 10¹⁵ meters [m].