Astronomy Surface Gravity

A planetary/stellar surface-g KPI. Distinct from Physics weight (mg) on Earth-g assumptions.

g = 6.6743×10⁻¹¹ × M ÷ R² (SI).

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

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Surface gravity for a spherical body is G times mass divided by radius squared.

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

Body mass in kilograms
Body radius in meters

Surface Gravity

Understanding Astronomy Surface Gravity

How we calculate. g = 6.6743×10⁻¹¹ × M ÷ R² (SI). 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 Surface Gravity case uses mass m (kg) 5.97e24 and radius r (m) 6.37e6. Enter the same figures below to reproduce the worked path.

What is Astronomy Surface Gravity?

A planetary/stellar surface-g KPI. Distinct from Physics weight (mg) on Earth-g assumptions.

  • SI units (kg, m)
  • Spherical teaching model
  • G fixed on this page

The Formula

Surface Gravity
g = G M ÷ R²

Worked Example

Scenario: M = 5.97×10²⁴ kg; R = 6.37×10⁶ m.
Step 1: R² ≈ 4.0577×10¹³
Step 2: GM/R² ≈ 9.82
Answer: Surface gravity is approximately 9.82 m/s².

Common Use Cases

  • Homework: planet g
  • Study: pair with escape velocity
  • Lab: SI drills

Pro Tips

  • Convert km → m
  • Don’t use Earth-g Physics weight for other worlds
  • Pair with escape tool

Limitations: Astronomy Surface Gravity 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 Physics weight?

Physics weight is typically m×g with a given g. This page computes g from M and R.

Which G?

6.6743×10⁻¹¹ m³·kg⁻¹·s⁻².

Authoritative References

For astronomy study concepts, consult:

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