Orbital Speed Formula and Orbital Speed Sums

Orbital Speed Formula :

Orbital Speed Vorbit is equal to the product of the gravitational constant G(ms-1) in meter second is multiply by mass of the planet M(kg) in kilogram is divided by radius R(cm) in centimeter. Hence the orbital speed formula has been written as,

Vorbit = √G(ms-1) M(kg) / R(cm)

Where,
G→ gravitational constant in (ms-1)
M → mass of the planet in (kg)
r → radius in (cm).

Sample Sums :

Sum1 :

Calculate the orbital speed? The radius is given as 6.5 * 106 m, The mass of an object is given as 5.9722 * 1024 kg and the gravitational constant G is 6.67408 * 10-11 m3 kg-1 s-2.

Solution :

We have,

G = 6.67408 * 10-11

R = 6.5 * 106

M = 5.9722 * 1024

Using the formula we have,

V = √(GM/R)

= (6.67408 * 10-11)(5.9722 * 1024)/(6.5 * 106)

= 29.8 km/s.

Sum2 :

Calculate the orbital speed? The radius is given as  2439.7 km, The mass of an object is given as 0.33 * 1024 kg and the gravitational constant G is 6.67408 * 10-11 m3 kg-1 s-2.

Solution :

We have,

G = 6.67408 * 10-11

R = 2439.7

M = 0.33 * 1024

Using the formula we have,

V = √(GM/R)

= (6.67408 * 10-11)(0.33 * 1024)/(2439.7)

= 47.4 km/s.

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