---
title: "Satellite X of mass \\(m\\) is in a circular orbit of radius \\(R\\) around a planet of mass \\(M_p\\). Satellite Y of mass \\(2m\\) is in a circular orbit of radius \\(4R\\) around the same planet. If the orbital speed of Satellite X is \\(v_X\\), what is the orbital speed \\(v_Y\\) of Satellite Y?"
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url: "https://nerd-notes.com/ubq/109506/"
date_modified: "2026-03-25T04:13:21+00:00"
---

# Satellite X of mass \(m\) is in a circular orbit of radius \(R\) around a planet of mass \(M_p\). Satellite Y of mass \(2m\) is in a circular orbit of radius \(4R\) around the same planet. If the orbital speed of Satellite X is \(v_X\), what is the orbital speed \(v_Y\) of Satellite Y?

Satellite X of mass \(m\) is in a circular orbit of radius \(R\) around a planet of mass \(M_p\). Satellite Y of mass \(2m\) is in a circular orbit of radius \(4R\) around the same planet. If the orbital speed of Satellite X is \(v_X\), what is the orbital speed \(v_Y\) of Satellite Y?

![A diagram showing a central planet labeled M_p. Two circular orbital paths are shown around the planet. Satellite X is shown on the inner path at a distance R from the center. Satellite Y is shown on the outer path at a distance 4R from the center. Arrows indicate the tangential velocity of each satellite.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1774412001-MOnqxu.jpg)

- **A.** \(v_Y = \dfrac{1}{4} v_X\)
- **B.** \(v_Y = \dfrac{1}{2} v_X\)
- **C.** \(v_Y = v_X\)
- **D.** \(v_Y = 2 v_X\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/109506/*