Pluto-Charon Orbit

09 Окт. 2012
Posted by trekto

Creative Commons License

Simulation parameters

Arithmetic precision:* 256 bits
Number of cycles: 250 000 000
Seconds per cycle: 0.01
Pluto mass: 1.309e22 kg.
Pluto radius: 1.151e6 m.
Pluto speed: 23.6747858517397 m/s.
Pluto distance to barycenter: 2.035e6 m.
Charon mass: 1.5466258229563e21 kg.
Charon radius: 6.036e5 m.
Charon speed: 200.373575948 m/s.
Charon distance to barycenter: 1.7497e7 m.
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.

Simulation result

Charon apogee (in respect of barycenter): 1.756970051689166e7 m. Difference from real**: 5.29948310834e3 m. = ~5.3 km.
Perigee: 1.749700000000011e7 m. Difference from real**: 1.1e-7 m. = 110 nanometres.

Pluto-Charon Data**

  Charon Pluto
Average Orbit Distance: 1.7536e7 m. 2.035e6 m.
Perigee (closest): 1.7497e7 m.  
Apogee (farthest): 1.7575e7 m.  
Equatorial Radius: 6.036e5 m. 1.151e6 m.
Mass: 1.5466258229563e21 kg. 1.309e22 kg.
Orbit Period (Length of Year): 6.387 sidereal years  
Mean Orbit Velocity: ~199.667 m/s.  

**Data from NASA: Comparison: Charon vs. Pluto and Wikipedia: Pluto.

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