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Table 4 Minimum number of orbital periods (\(n_{\min}\)) required to reach the targeted accuracy (\(\kappa = 0.1\)) for the three observables, depending on the PIONEERS model (compact versus high-performance)

From: PIONEERS: a 6DoF motion sensor to measure rotation and tides in the Solar System

Body

\(n_{\min}\) (Compact)

\(n_{\min}\) (HP)

Observables

\(\Omega\)

\(a_c\)

\(a_T\)

\(\Omega\)

\(a_c\)

\(a_T\)

Dimorphos

1

\(\emptyset\)

\(\emptyset\)

1

1

1

Phobos

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

1

1

1

Europa

\(\emptyset\)

\(\emptyset\)

1

1

\(\emptyset\)

1

Io

6

\(\emptyset\)

1

1

1

1

Titan

\(\emptyset\)

\(\emptyset\)

1

2

\(\emptyset\)

1

Enceladus

\(\emptyset\)

\(\emptyset\)

1

1

1

1

Triton

\(\emptyset\)

\(\emptyset\)

1

\(\emptyset\)

\(\emptyset\)

1

Moon

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

1

Mars

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

\(\emptyset\)

1

  1. \(n_{\min}\) is related to the mission duration by \(t_{m_{\min}} = n_{\min}T_{\text{orb}}\)