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Table E.1

Relative contributions of the and partials to the total central instants partials.

Mutual Relative contribution to the tc partials (%)
approx.
w.r.t. first satellite’s state
1 6.8 × 10−7 1.3 × 10−4 3.2 × 10−4 1.1 × 10−5 9.1 × 10−8 9.3 × 10−8
2 5.4 × 10−6 2.8 × 10−4 1.0 × 10−3 1.3 × 10−4 1.0 × 10−6 6.4 × 10−7
3 4.9 × 10−6 2.2 × 10−4 8.0 × 10−4 1.1 × 10−4 8.8 × 10−7 3.9 × 10−7
4 1.2 × 10−6 9.8 × 10−5 2.9 × 10−4 1.3 × 10−5 1.4 × 10−8 4.7 × 10−8
5 3.0 × 10−6 1.2 × 10−5 4.4 × 10−4 6.5 × 10−5 5.1 × 10−7 1.0 × 10−7

w.r.t. second satellite’s state
1 2.5 × 10−7 3.3 × 10−5 7.9 × 10−5 2.2 × 10−5 8.7 × 10−8 1.2 × 10−9
2 7.1 × 10−7 7.1 × 10−5 2.6 × 10−4 7.8 × 10−5 2.7 × 10−7 1.6 × 10−7
3 6.5 × 10−7 5.5 × 10−5 2.0 × 10−4 6.4 × 10−5 1.4 × 10−7 4.7 × 10−8
4 3.5 × 10−7 2.6 × 10−5 7.2 × 10−5 2.6 × 10−5 1.0 × 10−8 2.2 × 10−7
5 4.1 × 10−7 3.1 × 10−5 1.1 × 10−4 3.7 × 10−5 3.4 × 10−9 1.7 × 10−7

w.r.t. observer’s state
1 1.7 × 10−6 5.3 × 10−5 1.7 × 10−4 8.6 × 10−3 3.5 × 10−6 8.3 × 10−5
2 1.0 × 10−5 9.0 × 10−5 6.1 × 10−4 4.4 × 10−2 9.2 × 10−4 5.5 × 10−4
3 8.7 × 10−6 7.2 × 10−5 4.6 × 10−4 3.7 × 10−2 9.0 × 10−4 4.8 × 10−4
4 2.8 × 10−6 4.3 × 10−5 1.5 × 10−4 9.6 × 10−3 2.4 × 10−5 1.5 × 10−4
5 5.1 × 10−6 4.1 × 10−5 2.5 × 10−4 2.2 × 10−2 6.0 × 10−4 2.9 × 10−4

Notes. The partials are computed with respect to the first satellite’s state , second satellite’s state and observer’s state , all expressed in cartesian coordinates. Results are only reported for five mutual approximations (five first Io-Europa mutual approximations from 01/01/2020).

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