Orbit period modulation for relative motion using continuous low thrust in the two-body and restricted three-body...

Area of Science:

• Astrodynamics
• Control Theory
• Spacecraft Formation Flight

Background:

• Spacecraft formation flight requires precise relative orbit control.
• Existing methods can be complex and resource-intensive for small satellites.

Purpose of the Study:

• To generate novel, stable relative orbits for spacecraft formation flight.
• To enable applications such as space-based interferometry, hyperspectral sensing, and on-orbit inspection.
• To achieve these orbits with minimal intervention and simple position feedback.

Main Methods:

• Application of continuous thrust with position state feedback.
• Modification of linearized relative dynamics by manipulating system eigenvalues.
• Analysis within the Hill-Clohessy-Wiltshire (HCW) frame and the circular restricted three-body problem (CR3BP).

Main Results:

• Generation of new families of stable relative orbits, including circular, frequency-modulated, and doubly periodic cylindrical trajectories.
• Creation of stable, frequency-modulated relative orbits near Lagrange points.
• Derivation of gain requirements for a singly periodic tilted elliptical orbit for lunar far-side communication relays.

Conclusions:

• Minimal intervention using continuous thrust and position feedback can generate novel and stable relative orbits.
• The derived orbit control strategies are feasible for small, low-cost spacecraft with existing low-thrust propulsion technology.
• These methods open possibilities for advanced space missions and applications.