# Relating Distance and Speed for orbits

• astros10
In summary, the distance between two objects has a direct impact on their orbital speed, with an increase in distance resulting in a decrease in speed due to the decrease in gravitational force. There is a specific formula, known as the Vis-Viva equation, for calculating the speed of an orbit based on the gravitational constant, mass of the central object, and distance between the two objects. The shape of an orbit does not directly affect the speed of an object, but can impact its average speed. The speed of an object in orbit can change over time due to changes in gravitational force or external forces such as thrusters. Lastly, the speed of an object in orbit is related to its position, with an increase or decrease in speed resulting in a higher
astros10
Given just the distances from the sun of two comets for example, and the speed of one of the objects, how could one relate these two objects in order to find the speed the other object is traveling at?

Keplers third law?

It depends, are the comets in simular orbits?

If the comets are in the same orbit.

## 1. How does the distance between two objects affect their orbital speed?

The distance between two objects has a direct impact on their orbital speed. If the distance between the two objects increases, the orbital speed decreases. This is because the force of gravity decreases with distance, causing the objects to move slower in their orbit.

## 2. Is there a specific formula for calculating the speed of an orbit?

Yes, there is a specific formula for calculating the speed of an orbit. It is known as the Vis-Viva equation, which states that the square of the orbital speed is equal to the gravitational constant (G) times the mass of the central object divided by the distance between the two objects.

## 3. How does the shape of an orbit affect the speed of an object?

The shape of an orbit does not have a direct impact on the speed of an object. However, it does affect the average speed of the object. For example, in an elliptical orbit, the object will move faster when it is closer to the central object and slower when it is further away.

## 4. Can the speed of an object in orbit change over time?

Yes, the speed of an object in orbit can change over time. This is because the gravitational force between the two objects can change due to factors such as the mass of the central object or the presence of other objects in the vicinity. The speed of an object can also change if it is affected by external forces, such as thrusters or atmospheric drag.

## 5. How does the speed of an object in orbit affect its position?

The speed of an object in orbit is directly related to its position. If the speed increases, the object will move to a higher orbit. On the other hand, if the speed decreases, the object will move to a lower orbit. This relationship is known as Kepler's second law of planetary motion.

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