Dynamics and Control of Tethered Satellite System in Elliptical Orbits under Resonances

Table 1

Resonance types and their parametric relationships.

Case	Types of resonance	Frequency relationship	Parametric relationships	Resonance terms
1	Primary resonance (PR)			,
2	Internal resonance 1 (IR1)			,
3	Internal resonance 2 (IR2)			,
4	Combination resonance 1 (CR1)			,
5	Combination resonance 2 (CR2)			,
6	Combination resonance 3 (CR3)			,
7	Superharmonic resonance 1 (SR1)
8	Superharmonic resonance 2 (SR2)