Skip to main content
Calcimator

Space Debris Risk Calculator

Collision probability from object density and orbital altitude.

Inputs

Results

P(collision >10cm) %

0

P(collision >1cm) %

0.05

P(catastrophic) %

0.05

P(collision >1mm) %4.62
Annual P(tracked) %0
Expected 1mm+ impacts0.05
Debris density >1cm (/km³)0
How to Use This Calculator
  1. Enter orbital altitude (km), spacecraft cross-section area (m²), and mission duration (years).
  2. Set Whipple shield thickness (mm) and indicate whether the spacecraft can maneuver.
  3. Review probability of collision with tracked objects (>10 cm), centimeter-scale debris, and millimeter debris.
  4. Catastrophic collision probability should be below 0.001 (0.1%) for the mission lifetime.
  5. Maneuverability dramatically reduces risk — even one debris avoidance maneuver per year matters.

How the result changes with Orbital altitude (km)

Orbital altitude (km)P(collision >10cm) %P(collision >1cm) %P(catastrophic) %
38000.020.02
83000.250.25
1,37000.090.09
1,82000.030.03

What each input means

Orbital altitude (km)
Orbit altitude. Highest debris density at 800-1000 km. ISS at ~408 km is relatively cleaner.
Cross-section area (m²)
Effective collision cross-section of the spacecraft. ISS: ~2,500 m². CubeSat 3U: ~0.03 m².
Mission duration (years)
Planned mission lifetime. Longer duration = higher cumulative collision probability.
Whipple shield (mm)
Micrometeoroid/debris shield thickness. 0 = unshielded. ISS uses multi-layer shields ~10 mm effective.
Can maneuver (1=yes, 0=no)
Whether spacecraft can perform collision avoidance maneuvers when warned by tracking networks.

What each result means

P(collision >10cm) %
Probability of collision with tracked objects (>10 cm, catastrophic).
P(collision >1cm) %
Probability of collision with objects >1 cm (mission-ending).
P(collision >1mm) %
Probability of impact from objects >1 mm (can damage components).
P(catastrophic) %
Combined probability of mission-ending collision.
Annual P(tracked) %
Per-year collision probability with tracked objects.
Expected 1mm+ impacts
Expected number of impacts from objects >1 mm over the mission.
Debris density >1cm (/km³)
Spatial density of debris objects >1 cm at this altitude.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Orbital altitude (km) = 550, Cross-section area (m²) = 20, Mission duration (years) = 5, Whipple shield (mm) = 0 = 5 input(s) provided
  2. Calculate P(collision >10cm) %
    P(collision >10cm) % = Number((pCollisionTracked * 100).toPrecision(3))
    0.0000473 = 0.0000473
  3. Calculate P(collision >1cm) %
    P(collision >1cm) % = Number((pCollision1cm * 100).toPrecision(3))
    0.0473 = 0.0473
  4. Calculate P(catastrophic) %
    P(catastrophic) % = Number((pCatastrophic * 100).toPrecision(3))
    0.0474 = 0.0474
  5. Calculate P(collision >1mm) %
    P(collision >1mm) % = Number((pCollision1mm * 100).toPrecision(3))
    4.62 = 4.62
  6. Calculate Annual P(tracked) %
    Annual P(tracked) % = Number((annualPTracked * 100).toPrecision(3))
    0.00000947 = 0.00000947

The questions that sit next to this one — chosen by subject, including calculators filed under a different category.

More in Science & Physics.