HW2 Q3: I DESTROYED EVERYTHING MUHAHA (Danny LeBrun)

Yes, you heard right >:) it's all gone! Within at least half the duration that we used (2700 years) I was able to end the orbit (most likely kill) a majority of the planets within the solar system.

I created a planet of mass equal to 0.35M☉ with r = 20 which is the close encounter limit (in terms of terrestrial planets). The density I gave it was 1.0 g/cm^3 and I also gave it x, y, and z Cartesian coordinates (in AU) of 2AU, (1E-08)AU, (1E-08)AU. This gave my planet an initial semi-major axis of 4.26AU. The v_x, v_y, v_z of the body in Cartesian coordinates, in AU/day, are (3E-06)AU/day, (1.75E-02)AU/day, and (1E-08)AU/day, respectively.

After running the program I looked at the semi-major axis and eccentricity of each planet within our solar system and realized that all, but Mercury, were affected, as you can see below:
(the time axis for all are related to the time in years except Mercury where time axis should be multiplied by 10 to refer to the actual year. As you can see from these time axes of the planets, they either lose their orbit as their eccentricity spikes or get destroyed by my planet.
I believe Mercury's close proximity to the Sun allowed it to mostly ignore any gravitational effects caused by my planet and continue to focus on it's orbit around the central star. 

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