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8 Planet Solar System in 4D with Drag

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Presentation on theme: "8 Planet Solar System in 4D with Drag"— Presentation transcript:

1 8 Planet Solar System in 4D with Drag
by Eric Christiani

2 ODE – Ordinary Differential Equations

3 Add Drag Force to Differential
𝐶 𝑑 = 1 2 →𝑏= 𝐶 𝑑 𝜌 2 = 𝜌 4 𝐷=−𝑏 𝑣 2 𝐴 𝑣 𝑣 = 𝑣 𝑣 →𝐷=−𝑏𝑣𝐴 𝑣 𝑥 𝑣 𝑦 𝑣 𝑧 𝜌= 𝑚 𝑉 → 𝑚 𝜌 =𝑉= 4𝜋 3 𝑟 3 𝑚 𝜌 = 4𝜋 3 𝑟 3 → 𝑟 2 = 3𝑚 4𝜋𝜌 𝐴=𝜋 𝑟 2 =𝜋 3𝑚 4𝜋𝜌 𝐷=−𝑏𝑣 𝜋 𝑚 4𝜌 𝑣 𝑥 𝑣 𝑦 𝑣 𝑧 𝜌 𝑠𝑝𝑎𝑐𝑒 ≈ 1𝑎𝑡𝑜𝑚 𝐻 𝑐𝑚 =1.674 𝑒 −36 𝑘𝑔 𝑘 𝑚 3

4 Other Cool Stuff Black Background Background Stars
Representative Planet Colors Scaled Planet Sizes POV Scaled Planet Sizes

5 The Movies


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