Tidal Force on Satellites Calculator
Tidal Force on Satellites Calculator helps you calculate the tidal force and acceleration experienced by a satellite due to the gravitational differential from the primary body, along with visualizations and stability checks.
Input Parameters
kg
km
km (from center)
Tidal Analysis
Gravitational Acceleration Across Satellite
0
Grav. Accel. (m/s²)
0
Tidal Accel. (m/s²)
0
Tidal Force (N)
0
Roche Limit (km)
Stability Assessment
How to Use:
- Select the primary body (Earth, Moon, or Sun).
- Enter the satellite’s mass in kg, radius in km, and orbital distance in km from the center.
- Click “Calculate Tidal Force” to see the results, visualization, and stability check.
- Review the chart for acceleration variation across the satellite and badges for insights.
Formulas Used:
Tidal Force: \( F_t = \frac{2 G M m r}{d^3} \)
Tidal Acceleration: \( a_t = \frac{2 G M r}{d^3} \)
Approximate Roche Limit: \( d_R = 2.44 R_p \left( \frac{\rho_p}{\rho_s} \right)^{1/3} \)
Where \( G = 6.6743 \times 10^{-11} \) m³ kg⁻¹ s⁻², \( m \) is satellite mass, \( r \) satellite radius, \( d \) orbital distance, \( R_p, \rho_p \) primary radius and density, \( \rho_s \) satellite density.
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