Astronomy Circular Orbital Velocity

Complements Wave 1 escape velocity (√(2GM/R)). Distinct from Physics average velocity d/t.

v = square root of (GM/R) in m/s.

Tip: Keep “Central Mass M (kg)” and “Orbital Radius R (m)” on the same basis (period, units, and population) before calculating Astronomy Circular Orbital Velocity.

Cluster: Astronomy hub · Parallax distance · Kepler period · Physics hub · Percentage guide

Circular orbital speed around a central mass is the square root of GM/R.

Enter mass (kg) and orbital radius (m). Uses G = 6.6743×10⁻¹¹.

Central mass in kilograms
Orbital radius in meters

Orbital Velocity

Understanding Astronomy Circular Orbital Velocity

How we calculate. v = square root of (GM/R) in m/s. The form uses the same arithmetic as the worked examples on this page. See our methodology and accuracy policy.

Real-world scenario: A typical Astronomy Circular Orbital Velocity case uses central mass m (kg) 5.97e24 and orbital radius r (m) 6.77e6. Enter the same figures below to reproduce the worked path.

What is Astronomy Circular Orbital Velocity?

Complements Wave 1 escape velocity (√(2GM/R)). Distinct from Physics average velocity d/t.

  • SI units
  • Circular teaching model
  • R = orbital radius

The Formula

Circular Orbital Velocity
v = √(G M ÷ R)

Worked Example

Scenario: M = 5.97×10²⁴ kg; R = 6.77×10⁶ m (≈LEO-ish teaching).
Step 1: GM/R ≈ 5.89×10⁷
Step 2: √ ≈ 7670
Answer: Orbital velocity is approximately 7670 m/s.

Common Use Cases

  • Homework: circular orbits
  • Study: pair with escape velocity
  • Lab: SI drills

Pro Tips

  • Escape is √2 times larger at same R
  • Convert km → m
  • Not rocket Δv

Limitations: Astronomy Circular Orbital Velocity results are educational astronomy study aids—not navigation, mission planning, or professional observing advice. Confirm constants and units with your textbook or instructor.

FAQ

Same as escape velocity?

No. Circular orbital speed is √(GM/R); escape is √(2GM/R).

Same as Physics velocity?

No. Physics velocity here is distance÷time.

Authoritative References

For astronomy study concepts, consult:

  • OpenStax Astronomy — free textbook reference
  • NASA — mission and outreach context
  • IAU — astronomical constants and naming