check_collision
Predict if two moving spheres will collide and calculate when and where the impact occurs using analytic relative motion analysis.
Instructions
Check if two moving spherical objects will collide.
Predicts whether two moving spheres will collide within a time window,
and if so, calculates when and where the collision occurs. Uses analytic
relative motion to find exact collision time (if any).
Args:
body1_position: Position of first object [x, y, z] in meters
body1_velocity: Velocity of first object [x, y, z] in m/s
body1_radius: Radius of first object in meters (must be positive)
body2_position: Position of second object [x, y, z] in meters
body2_velocity: Velocity of second object [x, y, z] in m/s
body2_radius: Radius of second object in meters (must be positive)
max_time: Maximum time to check in seconds. Default 10.0.
Returns:
CollisionCheckResponse containing:
- will_collide: True if collision will occur
- collision_time: Time until collision in seconds (if collision occurs)
- collision_point: Approximate collision location [x, y, z] (if collision occurs)
- impact_speed: Relative velocity at impact in m/s (if collision occurs)
- closest_approach_distance: Minimum distance between objects
- closest_approach_time: Time of closest approach
Tips for LLMs:
- Objects are modeled as spheres (point masses with radius)
- Collision detection is exact for constant velocity motion
- Returns earliest collision time if multiple intersections
- If no collision, check closest_approach_distance to see how close they get
- Use for: asteroid tracking, car crash prediction, sports ball interactions
- For complex shapes or forces, use create_simulation instead
Example:
# Check if two cars will collide
result = await check_collision(
body1_position=[0.0, 0.0, 0.0],
body1_velocity=[10.0, 0.0, 0.0],
body1_radius=2.0,
body2_position=[50.0, 1.0, 0.0],
body2_velocity=[-8.0, 0.0, 0.0],
body2_radius=2.0
)
if result.will_collide:
print(f"Collision in {result.collision_time:.2f} seconds at {result.impact_speed:.1f} m/s")Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| body1_position | Yes | ||
| body1_velocity | Yes | ||
| body1_radius | Yes | ||
| body2_position | Yes | ||
| body2_velocity | Yes | ||
| body2_radius | Yes | ||
| max_time | No |