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Table 2

Convergence test of the multipole approximation.

ax [m s−2] ay [m s−2] az [m s−2] Description
− 1.23875008 × 10−3 0.00000000 0.00000000 Point mass
− 1.32251141 × 10−3 3.52412309 × 10−8 − 3.27218005 × 10−8 Brute force
− 1.23875008 × 10−3 0.00000000 0.00000000 Multipole, 0
− 1.23875008 × 10−3 0.00000000 0.00000000 Multipole, 1
− 1.31595722 × 10−3 − 9.15458551 × 10−9 2.10446228 × 10−8 Multipole, 2
− 1.31810548 × 10−3 − 4.32382838 × 10−8 − 7.29497823 × 10−8 Multipole, 3
− 1.32205774 × 10−3 2.39696605 × 10−8 − 3.72801209 × 10−8 Multipole, 4
− 1.32228394 × 10−3 2.52638733 × 10−8 − 3.83029760 × 10−8 Multipole, 5
− 1.32248271 × 10−3 3.37726230 × 10−8 − 3.39267296 × 10−8 Multipole, 6
− 1.32250036 × 10−3 3.42765669 × 10−8 − 3.32858996 × 10−8 Multipole, 7
− 1.32251056 × 10−3 3.50906194 × 10−8 − 3.28680108 × 10−8 Multipole, 8
− 1.32251185 × 10−3 3.51653783 × 10−8 − 3.27725086 × 10−8 Multipole, 9
− 1.32251239 × 10−3 3.52352260 × 10−8 − 3.27371874 × 10−8 Multipole, 10

Notes. The acceleration components a = (ax, ay, az) were evaluated for the position vector r = (500 km;0;0).

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