What is the period of revolution for an artificial planet

In summary, the conversation discusses a science fiction tale about an artificial planet in the form of a band encircling a sun. The inhabitants live on the inside surface, experiencing constant noon, and the sun is similar to our own. The distance to the band is equal to the Earth-Sun distance and the ring rotates quickly enough to produce a gravity of one g. The question is posed as to what the planet's revolution period, or year, would be in Earth days. The given information includes the mass and radius of the sun, as well as equations for gravity and acceleration. The conversation ends with a question about the distance and speed required to produce Earth's gravity on the artificial planet.
  • #1
balletgirl
36
0

Homework Statement



A science fiction tale describes an artificail "planet" in the form of a band completely encircling a sun, the inhabitants living on the inside surface (where it is always noon). Imagine the sun is like our own, that the distance to the band is the same as the Earth-Sun distance (to make the climate temperature), and that the ring rotates quickly enough to produce an apparent gravity of one g as on Earth. What will be the period of revolution, this planet's year, in Earth days?

Msun = 1.98x10^30
Rsun= 6.96x10^8

Homework Equations


g= GM/r^2 a= v^2/r
g= GM/(r+h)^2


The Attempt at a Solution



I'm not sure how to start. Would the distance/height be 1 ly (9.5x10^15m), and doesn't one Earth g = 9.8m/s?
 
Physics news on Phys.org
  • #2
If the ring spins fast enough to produce Earth's gravity (9.8 m/s^2) how fast must it be rotating?
 
  • #3
balletgirl said:

Homework Statement



A science fiction tale describes an artificail "planet" in the form of a band completely encircling a sun, the inhabitants living on the inside surface (where it is always noon). Imagine the sun is like our own, that the distance to the band is the same as the Earth-Sun distance (to make the climate temperature), and that the ring rotates quickly enough to produce an apparent gravity of one g as on Earth. What will be the period of revolution, this planet's year, in Earth days?

Msun = 1.98x10^30
Rsun= 6.96x10^8

Homework Equations


g= GM/r^2 a= v^2/r
g= GM/(r+h)^2


The Attempt at a Solution



I'm not sure how to start. Would the distance/height be 1 ly (9.5x10^15m), and doesn't one Earth g = 9.8m/s?
To answer your first question:
"...the distance to the band is the same as the Earth-Sun distance..."

To answer your second:
One Earth g is 9.8m/s^2. How fast would it have to revolve to emulate that?
 

Related to What is the period of revolution for an artificial planet

1. What is the period of revolution for an artificial planet?

The period of revolution for an artificial planet refers to the time it takes for the planet to complete one full orbit around its designated central object or star. This is determined by the planet's orbital speed and the distance from its central object.

2. How is the period of revolution calculated for an artificial planet?

The period of revolution for an artificial planet can be calculated using Kepler's Third Law, which states that the square of the orbital period is directly proportional to the cube of the semi-major axis of the orbit. This can be expressed mathematically as T^2 = (4π^2/GM)r^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the central object, and r is the distance between the planet and the central object.

3. Does the period of revolution for an artificial planet depend on its size?

No, the period of revolution for an artificial planet does not depend on its size. It is only affected by the planet's distance from its central object and its orbital speed, which are both determined by the mass and gravitational pull of the central object.

4. How does the period of revolution for an artificial planet compare to that of a natural planet?

The period of revolution for an artificial planet can vary greatly depending on its distance from the central object and its orbital speed, but it can generally be longer or shorter than that of a natural planet depending on these factors. However, both artificial and natural planets follow the same principles of orbital motion, as described by Kepler's laws.

5. Can the period of revolution for an artificial planet be altered or controlled?

Yes, the period of revolution for an artificial planet can be altered or controlled by adjusting its distance from the central object or its orbital speed. This can be achieved through various methods such as adjusting the planet's thrusters or using gravitational assists from other objects in the system.

Similar threads

What is the period of the second planet in this exercise?
    • Introductory Physics Homework Help
Replies
2
Views
1K
Gravitation - Period of revolution of planet
    • Introductory Physics Homework Help
Replies
10
Views
6K
Calculating the Year Length of a Gak Planet
    • Introductory Physics Homework Help
Replies
6
Views
1K
Finding Orbital Period of Unknown Planet
    • Introductory Physics Homework Help
Replies
5
Views
1K
Calculate the mass of a star and a planet that orbits it
    • Introductory Physics Homework Help
Replies
12
Views
2K
Finding the astronaut's weight on a planet's surface
    • Introductory Physics Homework Help
Replies
9
Views
2K
Acceleration of Planet/Sun System
    • Introductory Physics Homework Help
Replies
3
Views
1K
Period of Planets orbiting a Star
    • Introductory Physics Homework Help
Replies
13
Views
7K
Artificial Planet: Finding Year Length in Earth Days
    • Introductory Physics Homework Help
Replies
6
Views
7K
I Kepler orbits for planets of similar masses
    • Classical Physics
Replies
2
Views
824

Hot Threads

Recent Insights

Back
Top