Orbital Velocity Calculation for an Asteroid at Perihelion

In summary, To calculate the orbital velocity of an asteroid at perihelion, use the formula Vp = {GM/a ((1+e)/(1-e))}^0.5, where G is the gravitational constant (G = 6.67x10^-11), M is the mass of the sun (1.988x10^30 kg), and 'a' is the mean distance of the asteroid from the Sun in meters. Remember to use the appropriate units for G and M to get the desired result.
  • #1
ZedCar
354
1

Homework Statement



If calculating the orbital velocity of an asteroid at perihelion I use:

Vp = {GM/a ((1+e)/(1-e))}^0.5

Is the G the gravitational constant G = 6.67x10^-11
Is M the mass of the sun = 1.988x10^30 kg
Is 'a' the mean distance of the asteroid from the Sun in metres/km/AU ?

Thank you.

Homework Equations


The Attempt at a Solution

 
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  • #2
ZedCar said:

Homework Statement



If calculating the orbital velocity of an asteroid at perihelion I use:

Vp = {GM/a ((1+e)/(1-e))}^0.5

Is the G the gravitational constant G = 6.67x10^-11
Is M the mass of the sun = 3.518 x 10^8 kg
Is 'a' the mean distance of the asteroid from the Sun in metres/km/AU ?
Choose meters if you want the result in m/s, and use M in kg and G in m3kg-1s-2. Otherwise you'll have to fiddle with the units of GM to match your choice if length unit.
 

Related to Orbital Velocity Calculation for an Asteroid at Perihelion

1. What is orbital velocity?

Orbital velocity is the speed at which an object must travel to stay in orbit around another object, such as a planet or a star.

2. How is orbital velocity calculated?

Orbital velocity can be calculated using the following formula: v = √(GM/r), where v is the orbital velocity, G is the gravitational constant, M is the mass of the central object, and r is the distance between the two objects.

3. What factors affect orbital velocity?

The factors that affect orbital velocity include the mass of the central object, the distance between the two objects, and the gravitational constant.

4. Why is orbital velocity important?

Orbital velocity is important because it determines whether an object can stay in orbit around another object. If an object's orbital velocity is too low, it will fall back to the surface of the central object. If it is too high, it will escape the orbit and continue into space.

5. Can orbital velocity change?

Yes, orbital velocity can change depending on the factors that affect it. For example, if the distance between two objects changes, the orbital velocity will also change. Additionally, external forces such as thrust from a rocket or gravitational pull from other objects can also alter an object's orbital velocity.

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