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Table 4

Differences in LCM$L_C^{\rm{M}}$ and amplitudes of the periodic variations caused by the mass-dependent errors between LTE430 and LTE440.

Contributing body i LC,iM$L_{C,i}^{\rm{M}}$ ΔMi/Mi×LC,iM$\Delta {M_i}/{M_i} \times L_{C,i}^{\rm{M}}$ Ai[s] ∣∆ Mi / Mi ∣× Ai [s]
Sun 1.5 × 10−8 7.4 × 10−20 1.6 × 10−3 7.9 × 10−15
Mercury 1.7 × 10−15 −6.8 × 10−21 1.9 × 10−9 7.6 × 10−15
Venus 2.9 × 10−14 4.1 × 10−30 2.0 × 10−7 2.8 × 10−23
Earth 1.2 × 10−11 1.5 × 10−21 2.9 × 10−7 3.7 × 10−17
Mars System 2.4 × 10−15 −3.3 × 10−23 5.0 × 10−8 7.0 × 10−16
Jupiter System 1.8 × 10−12 9.9 × 10−21 7.5 × 10−6 4.1 × 10−14
Saturn System 3.0 × 10−13 2.8 × 10−21 2.5 × 10−6 2.4 × 10−14
Uranus System 2.2 × 10−14 −3.0 × 10−20 4.5 × 10−7 6.0 × 10−13
Neptune System 1.7 × 10−14 −9.3 × 10−28 1.2 × 10−7 6.6 × 10−21
Pluto System 1.8 × 10−18 2.8 × 10−21 5.8 × 10−10 8.9 × 10−13
Total 1.5 × 10−8 5.4 × 10−20

Notes. LC,iM$L_{C,i}^{\rm{M}}$ is derived from Table 2, and Ai is estimated from the periodic variation of each contributing body in LTE440. The LC,iM$L_{C,i}^{\rm{M}}$ and Ai of the Sun are assumed to be the sum of the contribution by the square of lunar velocity and the gravitational potential of the Sun at the Moon. ∆Mi/Mi denotes the relative mass difference of body i between DE430 and DE440.

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