Kepler's third law, means that (select the most correct answer)

Question

BlackTom AI · Accepted Answer

The prompt asks about Kepler's third law and indicates a multiple-answers format, but there are no answer options provided to evaluate.

Option analysis cannot proceed because the list of possible statements (the answer_options) is empty. Without specific statements to judge, we cannot distinguish which are correct or incorrect, nor can we explain why one would be more correct than another.

In terms of the underlying concept, Kepler's third law in its common form for objects orbiting a much more massive central body states that the square of the orbital period P is proportional to the cube of the semi-major axis a of the orbit: P^2 ∝ a^3. More precisely, for a two-body system with total mass M (where one body dominates, such as a planet orbiting the Sun), P^2 = (4π^2/GM) a^3, assuming elliptical orbits and Newtonian gravity. This relation implies that larger orbits take longer to complete and that the constant of proportionality depends on the central mass.

If there were multiple statements, a correct option would typically reflect: (1) the P^2 ∝ a^3 relationship for bound orbits around a common center of mass, (2) the dependence on the central mass M in the proportionality constant, and (3) applicability primarily to gravitational two-body systems where one mass dominates and orbits are approximately elliptical. Incorrect options would likely misstate the dependence (e.g., claiming P is directly proportional to a, or that the law applies only to planets around the Sun without recognizing the mass factor) or would mischaracterize the domain of applicability (e.g., non-gravitational forces, non-elliptical or unbound trajectories).

Because the required answer options are missing, there is no specific set of statements to evaluate for accuracy. If you provide the list of possible statements (the answer_options), I can walk through each one, explain why it is correct or incorrect, and identify the most appropriate choice based on Kepler's third law.

EARTHSC 2205 SP2025 (19389) Copernican Quiz

Kepler's third law, means that (select the most correct answer)

View Explanation

Log in for full answers

Similar Questions

By using either the Doppler or Transit methods, you can determine the orbital period of the planet. Using just that information, what else can you determine about the planet? (Hint: think Kepler's laws).

A planet in our solar system whose orbital semi-major axis is larger than that of the Earth's will have an orbital period, compared to the Earth, which is

Kepler's third law states that the square of the orbital period of a planet is proportional to

How do Astronomers measure the mass of the Sun (about 2x1030kg!)?

Imagine we've discovered a planet orbiting another star at 1 AU every 6 months. The planet has a moon that orbits the planet at the same distance as our Moon, but it takes 2 months. What can we infer about this planet? (Hint: Use Newton's Version of Kepler's Third Law)

An Earth satellite in a circular orbit of radius R has a period T. What is the period of an Earth satellite in a circular orbit of radius 4R ?

In a consumer society, many adults channel creativity into buying things

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler