---
title: "Satellite X and Satellite Y are in uniform circular orbits around a planet of mass \\(M\\). Satellite Y has twice the mass of Satellite X (\\(m_Y = 2m_X\\)). The orbital radius of Satellite Y is four times the orbital radius of Satellite X (\\(r_Y = 4r_X\\)). What is the ratio \\(v_Y/v_X\\) of the orbital speeds of the two satellites?"
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url: "https://nerd-notes.com/ubq/109279/"
date_modified: "2026-04-10T09:45:54+00:00"
---

# Satellite X and Satellite Y are in uniform circular orbits around a planet of mass \(M\). Satellite Y has twice the mass of Satellite X (\(m_Y = 2m_X\)). The orbital radius of Satellite Y is four times the orbital radius of Satellite X (\(r_Y = 4r_X\)). What is the ratio \(v_Y/v_X\) of the orbital speeds of the two satellites?

Satellite X and Satellite Y are in uniform circular orbits around a planet of mass \(M\). Satellite Y has twice the mass of Satellite X (\(m_Y = 2m_X\)). The orbital radius of Satellite Y is four times the orbital radius of Satellite X (\(r_Y = 4r_X\)). What is the ratio \(v_Y/v_X\) of the orbital speeds of the two satellites?

![A diagram shows a central planet labeled with mass M. Two concentric dashed circles represent the orbits of two satellites. The inner circle is labeled Orbit X and shows Satellite X at a distance r_X from the center. The outer circle is labeled Orbit Y and shows Satellite Y at a distance r_Y = 4r_X from the center.](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/ubq-frq-generatedstem-fig-1-1775814354-DLnW7P.jpg)

- **A.** \(1/4\)
- **B.** \(1/2\)
- **C.** \(1\)
- **D.** \(2\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109279/*