Close to accretion orbit simulation

Arithmetic precision:* 64 bits
Number of objects: 492
Number of cycles: 50 000
Seconds per cycle: 0.5
Mass of the heavy object: 1e12 kg.
Mass of each particle: 3e4 kg.
Radius of the heavy object: 15 m.
Radius of each particle: 2 m.
Total mass of particles (complex object): 1.473e7 kg.
Initial speed of particles: from ~0.1 to ~0.3 m/s
Interacting law: Newton's law of gravity

*GMP is used for floating point numbers. Precision is compromised by math.h functions atan2, sin and cos. If you have C++ implementation of CORDIC or other fast algorithm, you can share it here.

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