The orbital velocity of an asteroid at perihelion can be calculated using the formula Vp = {GM/a ((1+e)/(1-e))}^0.5. In this equation, G represents the gravitational constant, specifically G = 6.67x10^-11 m^3 kg^-1 s^-2, and M denotes the mass of the Sun, which is 1.988x10^30 kg. The variable 'a' refers to the mean distance of the asteroid from the Sun, and it should be expressed in meters to obtain the velocity in m/s. Accurate unit selection is crucial for correct calculations.
PREREQUISITESAstronomy students, astrophysicists, and anyone involved in celestial mechanics or orbital dynamics will benefit from this discussion.
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.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 ?