Multi-Satellite Formation Control

Hill-Clohessy-Wiltshire Relative Motion Dynamics for Gravimetry Missions

$$\ddot{x} - 2n\dot{y} - 3n^2x = a_x, \quad \ddot{y} + 2n\dot{x} = a_y, \quad \ddot{z} + n^2z = a_z$$

Hill-Clohessy-Wiltshire Equations for Relative Motion

Formation Type

Number of Satellites3

Separation Distance (km)100

Chief Altitude (km)500

Chief

Reference

Deputy 1

Active

Deputy 2

Active

Initial x offset (m)0

Initial y offset (m)100

Initial ẏ velocity (m/s)0

Motion Parameters

Max Range (m)--

Min Range (m)--

Drift Rate (m/orbit)--

Position Uncertainty σ (m)10

Keep-out Radius (m)50

Collision Analysis

Closest Approach--

P(collision)--

StatusSafe

Mission Duration (months)12

Control Deadband (m)10

Satellite Mass (kg)500

Fuel Budget

Annual ΔV (m/s)--

Fuel Mass (kg)--

Maneuvers/day--