Speed Orbital
Formula to calculate an objects orbital speed/time?
For example, what would Earth’s orbital speed/time be if it was 74,799,000 kilometers from the Sun (half the distance it is now).
By the slash I mean the formula can give you the answer in either speed or time (I’m not too bothered). I can calculate the time to speed, or visa-versa.
Thanks for the answers.
P= 2pi x sqrt(r^3/(GM)
P is the orbital period in seconds
r is the distance between the 2 bodies in meters
G is newtons constant, 6.673 x 10^-11
M is the mass of the sun in kg
sqrt just means square root.
Make sure you use the right units, the answer will be in seconds.
Or you can do it another way.
A^3 = P^2
A is the distance between the 2 bodies in AU
P is the orbital period in years.
74,799,000 kilometers = .5 AU
.5^3= .125
sqrt(.125)= .3535 years is the orbital period
——————————————–
Here’s the equation to find the orbital speed:
V=(GM/r)^.5
V is the orbital speed in m/s
G is newtons constant
M is the mass of the sun
r is the distance between the 2 bodies in meters
or you can just get the circumference of the orbit and divide it by the orbital period.
C= 2pi x r
V= (2pi x r)/P
Orbital – Speed Freak (Moby Remix)
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