analyze_circular_orbit
Calculate orbital parameters for circular orbits around planets. Determines velocity, period, and acceleration based on altitude, planet mass, and radius.
Instructions
Analyze circular orbit at given altitude above planet surface.
Comprehensive orbital analysis combining period, velocity, and acceleration.
Args:
altitude: Altitude above surface in meters
planet_mass: Planet mass in kg
planet_radius: Planet radius in meters
gravitational_constant: G in m³/(kg⋅s²) (default 6.674e-11)
Returns:
Dict containing:
- orbital_radius: r from planet center in meters
- orbital_velocity: v in m/s
- period_seconds: Orbital period in seconds
- period_minutes: Orbital period in minutes
- centripetal_acceleration: a_c in m/s²
Example - LEO satellite at 400km altitude:
result = await analyze_circular_orbit(
altitude=400000, # 400 km
planet_mass=5.972e24, # Earth
planet_radius=6.371e6 # Earth
)
# v ≈ 7,670 m/s, T ≈ 92.6 minInput Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| altitude | Yes | ||
| planet_mass | Yes | ||
| planet_radius | Yes | ||
| gravitational_constant | No |