Orbital Velocity Calculation for an Asteroid at Perihelion

AI Thread Summary
To calculate the orbital velocity of an asteroid at perihelion, the formula Vp = {GM/a ((1+e)/(1-e))}^0.5 is used, where G is the gravitational constant (6.67x10^-11 m^3 kg^-1 s^-2) and M is the mass of the Sun (1.988x10^30 kg). The variable 'a' represents the mean distance of the asteroid from the Sun, which should be in meters for the result to be in m/s. It's important to maintain consistent units throughout the calculation to avoid errors. Using meters for distance and kilograms for mass will yield the correct orbital velocity.
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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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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.
 
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